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The Geometry Festival is an annual
mathematics Mathematics is an area of knowledge that includes the topics of numbers, formulas and related structures, shapes and the spaces in which they are contained, and quantities and their changes. These topics are represented in modern mathematics ...
conference held in the
United States The United States of America (U.S.A. or USA), commonly known as the United States (U.S. or US) or America, is a country primarily located in North America. It consists of 50 states, a federal district, five major unincorporated territorie ...
. The festival has been held since 1985 at the
University of Pennsylvania The University of Pennsylvania (also known as Penn or UPenn) is a private research university in Philadelphia. It is the fourth-oldest institution of higher education in the United States and is ranked among the highest-regarded universitie ...
, the
University of Maryland The University of Maryland, College Park (University of Maryland, UMD, or simply Maryland) is a public land-grant research university in College Park, Maryland. Founded in 1856, UMD is the flagship institution of the University System of M ...
, the
University of North Carolina The University of North Carolina is the multi-campus public university system for the state of North Carolina. Overseeing the state's 16 public universities and the NC School of Science and Mathematics, it is commonly referred to as the UNC Sy ...
, the
State University of New York The State University of New York (SUNY, , ) is a system of public colleges and universities in the State of New York. It is one of the largest comprehensive system of universities, colleges, and community colleges in the United States. Led by c ...
at Stony Brook,
Duke University Duke University is a private research university in Durham, North Carolina. Founded by Methodists and Quakers in the present-day city of Trinity in 1838, the school moved to Durham in 1892. In 1924, tobacco and electric power industrialist James ...
and New York University's Courant Institute of Mathematical Sciences. It is a three day conference that focuses on the major recent results in geometry and related fields.


Previous Geometry Festival speakers


1985 at Penn

*
Marcel Berger Marcel Berger (14 April 1927 – 15 October 2016) was a French mathematician, doyen of French differential geometry, and a former director of the Institut des Hautes Études Scientifiques (IHÉS), France. Formerly residing in Le Castera in Las ...
* Pat Eberlein * Jost Eschenburg * Friedrich Hirzebruch *
Blaine Lawson Herbert Blaine Lawson, Jr. is a mathematician best known for his work in minimal surfaces, calibrated geometry, and algebraic cycles. He is currently a Distinguished Professor of Mathematics at Stony Brook University. He received his PhD from ...
*
Leon Simon Leon Melvyn Simon , born in 1945, is a Leroy P. Steele PrizeSee announcemen retrieved 15 September 2017. and Bôcher Memorial Prize, Bôcher Prize-winningSee . mathematician, known for deep contributions to the fields of geometric analysis, g ...
*
Scott Wolpert Scott A. Wolpert is an American mathematician specializing in geometry. He is a professor at the University of Maryland. Wolpert received his Ph.D. from Stanford University in 1976. In 1986 he was an Invited Speaker at the International Congre ...
* Deane Yang


1986 at Maryland

* Uwe Abresch, ''Explicit constant mean curvature tori'' * Zhi-yong Gao, ''The existence of negatively Ricci curved metrics'' * David Hoffman, ''New results in the global theory of minimal surfaces'' * Jack Lee, ''Conformal geometry and the
Yamabe problem The Yamabe problem refers to a conjecture in the mathematical field of differential geometry, which was resolved in the 1980s. It is a statement about the scalar curvature of Riemannian manifolds: By computing a formula for how the scalar curvatur ...
'' *
Ngaiming Mok Ngaiming Mok (; born 1956) is a Hong Kong mathematician specializing in complex differential geometry and algebraic geometry. He is currently a professor at the University of Hong Kong. After graduating from St. Paul's Co-educational College in ...
, ''Compact
Kähler manifold In mathematics and especially differential geometry, a Kähler manifold is a manifold with three mutually compatible structures: a complex structure, a Riemannian structure, and a symplectic structure. The concept was first studied by Jan Arnold ...
s of non-negative curvature'' * John Morgan, ''Self dual connections and the topology of 4-manifolds'' *
Chuu-Lian Terng Chuu-Lian Terng () is a Taiwanese-American mathematician. Her research areas are differential geometry and integrable systems, with particular interests in completely integrable Hamiltonian partial differential equations and their relations to dif ...
, ''Submanifolds with flat normal bundle''


1987 at Penn

* Robert Bryant, ''The construction of metrics with exceptional holonomy'' *
Francis Bonahon Francis Bonahon (9 September 1955, Tarbes) is a French mathematician, specializing in low-dimensional topology. Biography Bonahon received in 1972 his ''baccalauréat'', and was accepted in 1974 into the École Normale Supérieure. He received ...
, '' Hyperbolic 3-manifolds with arbitrarily short geodesics'' * Keith Burns, ''Geodesic flows on the 2-sphere'' *
Andreas Floer Andreas Floer (; 23 August 1956 – 15 May 1991) was a German mathematician who made seminal contributions to symplectic topology, and mathematical physics, in particular the invention of Floer homology. Floer's first pivotal contribution was a so ...
, '' Instantons and Casson's invariant'' * Hermann Karcher, ''Embedded minimal surfaces in the 3-sphere'' * Jürgen Moser, ''Minimal foliations of tori'' * Edward Witten. ''Applications of
quantum field theory In theoretical physics, quantum field theory (QFT) is a theoretical framework that combines classical field theory, special relativity, and quantum mechanics. QFT is used in particle physics to construct physical models of subatomic particles and ...
to topology''


1988 at North Carolina

*
Detlef Gromoll Detlef Gromoll (13 May 1938 – 31 May 2008) was a mathematician who worked in Differential geometry. Biography Gromoll was born in Berlin in 1938, and was a classically trained violinist. After living and attending school in Rosdorf and gra ...
, ''On complete spaces of non-negative Ricci curvature'' * Nicolas Kapouleas, ''Constant mean curvature surfaces in E3'' * Robert Osserman, ''Gauss map of complete minimal surfaces'' *
Pierre Pansu Pierre Pansu (born 13 July 1959) is a French mathematician and a member of the Arthur Besse group and a close collaborator of Mikhail Gromov. He is a professor at the Université Paris-Sud 11 and the École Normale Supérieure in Paris. His mai ...
, ''Lp-cohomology of negatively curved manifolds'' * Peter Petersen, ''Bounding homotopy types by geometry'' *
Gang Tian Tian Gang (; born November 24, 1958) is a Chinese mathematician. He is a professor of mathematics at Peking University and Higgins Professor Emeritus at Princeton University. He is known for contributions to the mathematical fields of Kähler g ...
, ''Kähler-Einstein metrics on quasiprojective manifolds'' * DaGang Yang, ''Some new examples of manifolds of positive Ricci curvature'' * Wolfgang Ziller, ''Recent results on Einstein metrics''


1989 at Stony Brook

*
Eugenio Calabi Eugenio Calabi (born 11 May 1923) is an Italian-born American mathematician and the Thomas A. Scott Professor of Mathematics, Emeritus, at the University of Pennsylvania, specializing in differential geometry, partial differential equations and ...
, ''Extremal singular metrics on surfaces'' * Harold Donnelly, ''Nodal sets of eigenfunctions on Riemannian manifolds'' *
Yakov Eliashberg Yakov Matveevich Eliashberg (also Yasha Eliashberg; russian: link=no, Яков Матвеевич Элиашберг; born 11 December 1946) is an American mathematician who was born in Leningrad, USSR. Education and career Eliashberg receiv ...
, ''Symplectic geometric methods in several complex variables'' *
F. Thomas Farrell Francis Thomas Farrell (born November 14, 1941, in Ohio, United States) is an American mathematician who has made contributions in the area of topology and differential geometry. Farrell is a distinguished professor emeritus of mathematics at B ...
, ''A topological analogue of Mostow's rigidity theorem'' *
Lesley Sibner Lesley Millman Sibner (August 13, 1934 – September 11, 2013) was an American mathematician and professor of mathematics at Polytechnic Institute of New York University. She earned her Bachelors at City College CUNY in Mathematics. She compl ...
, ''Solutions to Yang-Mills equations which are not self-dual'' *
Carlos Simpson Carlos Tschudi Simpson (born 30 June 1962) is an American mathematician, specializing in algebraic geometry. Simpson received his Ph.D. in 1987 from Harvard University, where he was supervised by Wilfried Schmid; his thesis was titled ''Systems of ...
, ''Moduli spaces of representations of fundamental groups''


1990 at Maryland

* Michael T. Anderson, ''Behavior of metrics under Ricci curvature bounds'' * Kevin Corlette, ''Harmonic maps and geometric superrigidity'' *
Kenji Fukaya Kenji Fukaya (Japanese: 深谷賢治, ''Fukaya Kenji'') is a Japanese mathematician known for his work in symplectic geometry and Riemannian geometry. His many fundamental contributions to mathematics include the discovery of the Fukaya cat ...
, ''Fundamental groups of almost non-negatively curved manifolds'' * Mikhail Gromov, ''Recent progress in
symplectic geometry Symplectic geometry is a branch of differential geometry and differential topology that studies symplectic manifolds; that is, differentiable manifolds equipped with a closed differential form, closed, nondegenerate form, nondegenerate different ...
'' *
Werner Müller Werner may refer to: People * Werner (name), origin of the name and people with this name as surname and given name Fictional characters * Werner (comics), a German comic book character * Werner Von Croy, a fictional character in the ''Tomb Ra ...
, ''On spectral theory for locally symmetric manifolds with finite volume'' * Rick Schoen, ''Least area problems for
Lagrangian submanifold In differential geometry, a subject of mathematics, a symplectic manifold is a smooth manifold, M , equipped with a closed nondegenerate differential 2-form \omega , called the symplectic form. The study of symplectic manifolds is called sy ...
s'' * Gudlaugur Thorbergsson, ''Isoparametric submanifolds and their Tits buildings'' * Shing-Tung Yau, ''Some theorems in Kähler geometry''


1991 at Duke

*
Jeff Cheeger Jeff Cheeger (born December 1, 1943, Brooklyn, New York City) is a mathematician. Cheeger is professor at the Courant Institute of Mathematical Sciences at New York University in New York City. His main interests are differential geometry and ...
, ''Transgressed Euler classes of SL(2n,Z)-bundles and adiabatic limits of eta-invariants'' *
Chris Croke Chris is a short form of various names including Christopher, Christian, Christina, Christine, and Christos. Chris is also used as a name in its own right, however it is not as common. People with the given name * Chris Abani (born 1966), N ...
, ''Volumes of balls in manifolds without conjugate points and rigidity of geodesic flows'' * Carolyn Gordon, ''When you can't hear the shape of a manifold'' * Wu-Yi Hsiang, ''Sphere packing and spherical geometry: The Kepler conjecture and beyond'' * Alan Nadel, ''On the geometry of
Fano Fano is a town and ''comune'' of the province of Pesaro and Urbino in the Marche region of Italy. It is a beach resort southeast of Pesaro, located where the ''Via Flaminia'' reaches the Adriatic Sea. It is the third city in the region by popula ...
varieties'' * Grigori Perelman, '' Alexandrov's spaces with curvature bounded from below'' * Stephan Stolz, ''On the space of positive curvature metrics modulo diffeomorphisms''


1992 at Courant

* Jonathan Block, ''Aperiodic tilings, positive scalar curvature and other homological phenomena'' * John Franks, ''Infinitely many closed geodesics on the 2-sphere'' *
Karsten Grove Karsten Grove is a Danish-American mathematician working in Metric geometry, metric and differential geometry, differential topology and global analysis, mainly in topics related to global Riemannian geometry, Alexandrov geometry, Isometry, isome ...
, ''The inevitable presence of singular spaces in Riemannian geometry'' *
Lisa Jeffrey Lisa Claire Jeffrey FRSC is a Canadian mathematician, a professor of mathematics at the University of Toronto. In her research, she uses symplectic geometry to provide rigorous proofs of results in quantum field theory. Jeffrey graduated from P ...
, ''Volumes of moduli spaces of flat connections on Riemannian surfaces'' * Jun Li, ''Anti-self-dual connections on SU(2) bundles over algebraic surfaces'' * Dusa McDuff, '' Symplectic 4-manifolds'' *
Clifford Taubes Clifford Henry Taubes (born February 21, 1954) is the William Petschek Professor of Mathematics at Harvard University and works in gauge field theory, differential geometry, and low-dimensional topology. His brother is the journalist Gary Taubes. ...
, ''Anti-self dual conformal structures in 4 dimensions''


1993 at Penn

* Shiing-Shen Chern, ''
Finsler geometry In mathematics, particularly differential geometry, a Finsler manifold is a differentiable manifold where a (possibly asymmetric) Minkowski functional is provided on each tangent space , that enables one to define the length of any smooth c ...
'' *
Richard S. Hamilton Richard Streit Hamilton (born 10 January 1943) is an American mathematician who serves as the Davies Professor of Mathematics at Columbia University. He is known for contributions to geometric analysis and partial differential equations. Hamilton ...
, ''An isoperimetric estimate for the curve-shrinking flow'' *
Vaughan Jones Sir Vaughan Frederick Randal Jones (31 December 19526 September 2020) was a New Zealand mathematician known for his work on von Neumann algebras and knot polynomials. He was awarded a Fields Medal in 1990. Early life Jones was born in Gisb ...
, ''Loop groups and operator algebras'' *
Claude LeBrun Claude R. LeBrun (born 1956) is an American mathematician who holds the position of SUNY Distinguished Professor of Mathematics at Stony Brook University. Much of his research concerns the Riemannian geometry of 4-manifolds, or related topics in ...
, ''Compact Kähler manifolds of constant
scalar curvature In the mathematical field of Riemannian geometry, the scalar curvature (or the Ricci scalar) is a measure of the curvature of a Riemannian manifold. To each point on a Riemannian manifold, it assigns a single real number determined by the geometry ...
'' * Louis Nirenberg, ''The maximum principle and related things'' * Xiaochun Rong, ''Collapsing in low dimensions and rationality of geometric invariants'' * Isadore Singer, ''Geometry and
quantum field theory In theoretical physics, quantum field theory (QFT) is a theoretical framework that combines classical field theory, special relativity, and quantum mechanics. QFT is used in particle physics to construct physical models of subatomic particles and ...
''


1995 at Stony Brook

* Dimitri Burago, ''Asymptotic geometry of Z^n-periodic metrics'' *
Tobias Colding Tobias Holck Colding (born 1963) is a Danish mathematician working on geometric analysis, and low-dimensional topology. He is the great grandchild of Ludwig August Colding. Biography He was born in Copenhagen, Denmark, to Torben Holck Colding ...
, '' Ricci curvature and convergence'' *
Dominic Joyce Dominic David Joyce Fellow of the Royal Society, FRS (born 8 April 1968) is a British mathematician, currently a professor at the University of Oxford and a fellow of Lincoln College, Oxford, Lincoln College since 1995. His undergraduate and doc ...
, ''Compact Riemannian manifolds with exceptional holonomy groups'' * Yael Karshon, ''Hamiltonian torus actions'' * David Morrison, ''Analogues of Seiberg–Witten invariants for counting curves on
Calabi–Yau manifold In algebraic geometry, a Calabi–Yau manifold, also known as a Calabi–Yau space, is a particular type of manifold which has properties, such as Ricci flatness, yielding applications in theoretical physics. Particularly in superstring ...
s'' *
Tomasz Mrowka Tomasz Mrowka (born September 8, 1961) is an American mathematician specializing in differential geometry and gauge theory. He is the Singer Professor of Mathematics and former head of the Department of Mathematics at the Massachusetts Institu ...
, ''The Seiberg-Witten equations and 4-manifold topology'' *
Yongbin Ruan Yongbin Ruan (; born 14 February 1963) is a Chinese mathematician, specializing in algebraic geometry, differential geometry, and symplectic geometry with applications to string theory. Ruan studied from 1978 at Sichuan University with ''Benke'' ...
, ''Higher genus pseudo-holomorphic curves'' * Edward Witten, ''Monopoles and four-manifolds''


1996 at Maryland

*
John C. Baez John Carlos Baez (; born June 12, 1961) is an American mathematical physics, mathematical physicist and a professor of mathematics at the University of California, Riverside (UCR) in Riverside, California, Riverside, California. He has worked o ...
, ''
Quantum gravity Quantum gravity (QG) is a field of theoretical physics that seeks to describe gravity according to the principles of quantum mechanics; it deals with environments in which neither gravitational nor quantum effects can be ignored, such as in the vi ...
and BF theory in 4 dimensions'' *
Jean-Luc Brylinski Jean-Luc Brylinski (born in 1951) is a French- American mathematician. Educated at the Lycée Pasteur and the École Normale Supérieure in Paris, after an appointment as researcher with the C. N. R. S., he became a Professor of Mathematics at ...
, ''Gauge groups and reciprocity laws on algebraic varieties'' *
Bruce Kleiner Bruce Alan Kleiner is an American mathematician, working in differential geometry and topology and geometric group theory. He received his Ph.D. in 1990 from the University of California, Berkeley. His advisor was Wu-Yi Hsiang. Kleiner is a p ...
, ''Spaces of nonpositive curvature'' *
Grigory Margulis Grigory Aleksandrovich Margulis (russian: Григо́рий Алекса́ндрович Маргу́лис, first name often given as Gregory, Grigori or Gregori; born February 24, 1946) is a Russian-American mathematician known for his work on ...
, ''Quantitative Oppenheim Conjecture'' *
Sergei P. Novikov Sergei Petrovich Novikov (also Serguei) (Russian: Серге́й Петро́вич Но́виков) (born 20 March 1938) is a Soviet and Russian mathematician, noted for work in both algebraic topology and soliton theory. In 1970, he won the ...
, ''Laplace and Darboux transformations'' * Richard Schwartz, ''The Devil's Pentagram'' * Guofang Wei, ''Volume comparison with integral curvature bounds'' *
Shmuel Weinberger The mathematician Shmuel Aaron Weinberger (born February 20, 1963) is an American topologist. He completed a PhD in mathematics in 1982 at New York University under the direction of Sylvain Cappell. Weinberger was, from 1994 to 1996, the Thomas A. ...
, ''Equivariant rigidity: For and against''


1997 at Duke

* Jeanne Nielsen Clelland, ''Geometry of Conservation Laws for Parabolic PDE's'' * Anatole Katok, ''Rigidity and invariant geometric structures for differentiable group actions'' *
François Labourie François Labourie (born 15 December 1960) is a French mathematician who has made various contributions to geometry, including pseudoholomorphic curves, Anosov diffeomorphism, and convex geometry. In a series of papers with Yves Benoist and Pat ...
, ''Monge-Ampere problems, holomorphic curves and laminations'' * Gang Liu, '' Floer Homology and the
Arnold Conjecture The Arnold conjecture, named after mathematician Vladimir Arnold, is a mathematical conjecture in the field of symplectic geometry, a branch of differential geometry. Statement Let (M, \omega) be a compact symplectic manifold. For any smooth func ...
'' * William Minicozzi II, ''Harmonic functions on manifolds'' * Lorenz Schwachhöfer, ''The classification of irreducible holonomies of torsion free connections'' * Matthias Schwarz, ''Symplectic fixed points and quantum cohomology'' *
Stephen Semmes Stephen William Semmes (born 26 May 1962) is the Noah Harding Professor of Mathematics at Rice University. He is known for contributions to analysis on metric spaces, as well as harmonic analysis, complex variables, partial differential equatio ...
, ''Geometry with little smoothness''


1998 at Stony Brook

* Scott Axelrod, ''Generalized Chern-Simons invariants as a generalized
Lagrangian field theory Lagrangian may refer to: Mathematics * Lagrangian function, used to solve constrained minimization problems in optimization theory; see Lagrange multiplier ** Lagrangian relaxation, the method of approximating a difficult constrained problem with ...
'' *
Jean-Michel Bismut Jean-Michel Bismut (born 26 February 1948) is a French mathematician who has been a professor at the Université Paris-Sud since 1981. His mathematical career covers two apparently different branches of mathematics: probability theory and diff ...
, ''Chern-Simons classes, Bott Chern classes and analytic torsion'' *
Spencer Bloch Spencer Janney Bloch (born May 22, 1944; New York City) is an American mathematician known for his contributions to algebraic geometry and algebraic ''K''-theory. Bloch is a R. M. Hutchins Distinguished Service Professor Emeritus in the Departm ...
, ''Algebro-geometric Chern-Simons classes'' * Robert Bryant, ''Recent progress on the holonomy classification problem'' * Robert Bryant (for S.-S. Chern), ''Recent results and open problems in
Finsler geometry In mathematics, particularly differential geometry, a Finsler manifold is a differentiable manifold where a (possibly asymmetric) Minkowski functional is provided on each tangent space , that enables one to define the length of any smooth c ...
'' *
Jeff Cheeger Jeff Cheeger (born December 1, 1943, Brooklyn, New York City) is a mathematician. Cheeger is professor at the Courant Institute of Mathematical Sciences at New York University in New York City. His main interests are differential geometry and ...
and
Blaine Lawson Herbert Blaine Lawson, Jr. is a mathematician best known for his work in minimal surfaces, calibrated geometry, and algebraic cycles. He is currently a Distinguished Professor of Mathematics at Stony Brook University. He received his PhD from ...
, ''The mathematical work of James Simons'' *
Jeff Cheeger Jeff Cheeger (born December 1, 1943, Brooklyn, New York City) is a mathematician. Cheeger is professor at the Courant Institute of Mathematical Sciences at New York University in New York City. His main interests are differential geometry and ...
, '' Ricci Curvature'' *
Jürg Fröhlich Jürg Martin Fröhlich (born 4 July 1946 in Schaffhausen) is a Swiss mathematician and theoretical physicist. He is best known for introducing rigorous techniques for the analysis of statistical mechanics models, in particular continuous symmetry ...
, ''Physics and the Chern-Simons form (from anomalies to the quantum Hall effect to magnetic stars)'' * Mikhail Gromov, ''Dynamics on function spaces'' * Maxim Kontsevich, ''On regulators, critical values and q-factorials'' *
Blaine Lawson Herbert Blaine Lawson, Jr. is a mathematician best known for his work in minimal surfaces, calibrated geometry, and algebraic cycles. He is currently a Distinguished Professor of Mathematics at Stony Brook University. He received his PhD from ...
, ''Connections and singularities of maps'' * Robert MacPherson, ''Spaces with torus actions'' * John Milnor, ''Remarks on geometry and dynamics'' * I.M. Singer, TBA *
Dennis Sullivan Dennis Parnell Sullivan (born February 12, 1941) is an American mathematician known for his work in algebraic topology, geometric topology, and dynamical systems. He holds the Albert Einstein Chair at the City University of New York Graduate Ce ...
''A combinatorial model for non-linearity'' *
Clifford Taubes Clifford Henry Taubes (born February 21, 1954) is the William Petschek Professor of Mathematics at Harvard University and works in gauge field theory, differential geometry, and low-dimensional topology. His brother is the journalist Gary Taubes. ...
, ''Seiberg-Witten invariants, harmonic forms, and their pseudo-holomorphic curves'' *
Gang Tian Tian Gang (; born November 24, 1958) is a Chinese mathematician. He is a professor of mathematics at Peking University and Higgins Professor Emeritus at Princeton University. He is known for contributions to the mathematical fields of Kähler g ...
, ''Yang-Mills connections and calibration'' * C.-N. Yang, ''Vector potentials and connections'' * Shing-Tung Yau, '' Mirror symmetry and rational curves''


1999 at Penn

* Peter Sarnak, ''Some spectral problems on negatively curved manifolds'' * Zheng-xu He, ''The gradient flow for the
Möbius energy In mathematics, the Möbius energy of a knot (mathematics), knot is a particular knot energy, i.e., a Functional (mathematics), functional on the space of knots. It was discovered by Jun O'Hara, who demonstrated that the energy blows up as the kno ...
of knots'' *
Curtis McMullen Curtis Tracy McMullen (born May 21, 1958) is an American mathematician who is the Cabot Professor of Mathematics at Harvard University. He was awarded the Fields Medal in 1998 for his work in complex dynamics, hyperbolic geometry and Teichmüll ...
, ''The moduli space of
Riemann surface In mathematics, particularly in complex analysis, a Riemann surface is a connected one-dimensional complex manifold. These surfaces were first studied by and are named after Bernhard Riemann. Riemann surfaces can be thought of as deformed vers ...
s is Kähler-hyperbolic'' *
Paul Biran Paul Ian Biran ( he, פאול בירן; born 25 February 1969) is an Israeli mathematician. He holds a chair at ETH Zurich. His research interests include symplectic geometry and algebraic geometry. Education Born in Romania in 1969, Biran's f ...
, ''Lagrange skeletons and symplectic rigidity'' * Helmut Hofer, Holomorphic curves and contact geometry'' *
Werner Ballmann Hans Werner Ballmann (known as Werner Ballmann; born 11 April 1951) is a German mathematician. His area of research is differential geometry with focus on geodesic flows, spaces of negative curvature as well as spectral theory of Dirac operator ...
, ''On negative curvature and the essential spectrum of geometric operators'' *
Shlomo Sternberg Shlomo Zvi Sternberg (born 1936), is an American mathematician known for his work in geometry, particularly symplectic geometry and Lie theory. Education and career Sternberg earned his PhD in 1955 from Johns Hopkins University, with a thesis en ...
, ''Multiplets of representations and Kostant's
Dirac operator In mathematics and quantum mechanics, a Dirac operator is a differential operator that is a formal square root, or half-iterate, of a second-order operator such as a Laplacian. The original case which concerned Paul Dirac was to factorise formall ...
''


2000 at Maryland

* Samuel Ferguson, ''The Kepler Conjecture'' * Robert Meyerhoff, ''Rigorous computer-aided proofs in the theory of hyperbolic 3-manifolds'' *
Herman Gluck Herman may refer to: People * Herman (name), list of people with this name * Saint Herman (disambiguation) * Peter Noone (born 1947), known by the mononym Herman Places in the United States * Herman, Arkansas * Herman, Michigan * Herman, Minnes ...
, ''Geometry, topology and plasma physics'' *
Burkhard Wilking Burchard (and all variant spellings) may refer to: __NOTOC__ People * Burchard (name), Burchard and all related spellings as a given name and surname * Burckhardt, or (de) Bourcard, a family of the Basel patriciate * Burchard-Bélaváry family, an a ...
, ''New examples of manifolds with positive sectional curvature almost everywhere'' * John Roe, ''Amenability and assembly maps'' * Eleny Ionel, ''Gromov invariants of symplectic sums'' * Mikhail Gromov, ''Spaces of holomorphic maps''


2001 at Northeastern

* Robert Bryant, ''Rigidity and quasirigidity of extremal cycles in Hermitian symmetric spaces'' *
Tobias Colding Tobias Holck Colding (born 1963) is a Danish mathematician working on geometric analysis, and low-dimensional topology. He is the great grandchild of Ludwig August Colding. Biography He was born in Copenhagen, Denmark, to Torben Holck Colding ...
, ''Embedded minimal surfaces in 3-manifolds'' * Boris Dubrovin, ''Normal forms of integrable PDE's'' *
John Lott John Richard Lott Jr. (born May 8, 1958) is an American economist, political commentator, and gun rights advocate. Lott was formerly employed at various academic institutions and at the American Enterprise Institute conservative think tank. He ...
, ''
Heat equation In mathematics and physics, the heat equation is a certain partial differential equation. Solutions of the heat equation are sometimes known as caloric functions. The theory of the heat equation was first developed by Joseph Fourier in 1822 for t ...
methods in noncommutative geometry'' * Dusa McDuff, ''Seminorms on the Hamiltonian group and the nonsqueezing theorem'' * Rick Schoen, ''Variational approaches to the construction minimal lagrangian submanifolds'' * Shing-Tung Yau, '' Mirror symmetry''


2002 at Courant

*
Denis Auroux Denis Auroux (born April 1977 in Lyon) is a French mathematician working in geometry and topology. Education and career Auroux was admitted in 1993 to the École normale supérieure. In 1994, he received a licentiate and ''maîtrise'' in mathema ...
, ''Singular plane curves and topological invariants of symplectic manifolds'' * Hugh Bray, ''On the mass of higher dimensional black holes'' *
Alice Chang Sun-Yung Alice Chang (, hak, Chông Sṳn-yùng, ; born 1948) is a Taiwanese American mathematician specializing in aspects of mathematical analysis ranging from harmonic analysis and partial differential equations to differential geometry. S ...
, ''Conformally invariant operators and the Gauss-Bonnet integrand'' *
Xiuxiong Chen Xiuxiong Chen () is a Chinese-American mathematician whose research concerns differential geometry and differential equations. A professor at Stony Brook University since 2010, he was elected a Fellow of the American Mathematical Society in ...
, ''The space of Kähler metrics'' * George Daskalopoulos, ''On the Yang-Mills flow in higher dimensions'' *
Alex Eskin Alex Eskin (born May 19, 1965Alex Eskin, Curriculum Vitae
Department of Mathematics,
, ''Billiards and lattices'' * Juha Heinonen, ''On the existence of quasiregular mappings''


2003 at Duke

* Bennett Chow, ''
Harnack Harnack is the surname of a German family of intellectuals, artists, mathematicians, scientists, theologians and those in other fields. Several family members were executed by the Nazis during the last years of the Third Reich. * Theodosius Harnac ...
estimates of Li–Yau–Hamilton type for the
Ricci flow In the mathematical fields of differential geometry and geometric analysis, the Ricci flow ( , ), sometimes also referred to as Hamilton's Ricci flow, is a certain partial differential equation for a Riemannian metric. It is often said to be analo ...
'' * Anda Degeratu, ''Geometrical McKay Correspondence'' * Ron Donagi, ''Griffiths' intermediate Jacobians, integrable systems, and string theory'' *
John Etnyre John Boyd Etnyre is an American mathematician at the Georgia Institute of Technology, and his research fields include contact geometry, symplectic geometry and low-dimensional topology. He earned his Ph.D. in 1996 from the University of Texas, A ...
, '' Legendrian knots in high dimensions'' * Joe Harris, ''Are Cubics Rational?'' *
Claude LeBrun Claude R. LeBrun (born 1956) is an American mathematician who holds the position of SUNY Distinguished Professor of Mathematics at Stony Brook University. Much of his research concerns the Riemannian geometry of 4-manifolds, or related topics in ...
, ''Zoll Manifolds, Complex Surfaces, and Holomorphic Disks'' * John Morgan, ''Variations of Hodge structure for 1-parameter families of Calabi–Yau three-folds'' * Madhav Nori, ''A modified Hodge conjecture'' * Justin Sawon, ''Twisted Fourier–Mukai transforms for holomorphic symplectic manifolds'' * Wilfried Schmid, ''Automorphic distributions, L-functions, and functional equations'' * Jeff Viaclovsky, ''Fully nonlinear equations and conformal geometry'' *
Claire Voisin Claire Voisin (born 4 March 1962) is a French mathematician known for her work in algebraic geometry. She is a member of the French Academy of Sciences and holds the chair of Algebraic Geometry at the Collège de France. Work She is noted for ...
, ''K-correspondences and intrinsic pseudovolume forms''


2004 at Courant

*
Jean-Michel Bismut Jean-Michel Bismut (born 26 February 1948) is a French mathematician who has been a professor at the Université Paris-Sud since 1981. His mathematical career covers two apparently different branches of mathematics: probability theory and diff ...
, ''The Hypoelliptic Laplacian on the
Cotangent Bundle In mathematics, especially differential geometry, the cotangent bundle of a smooth manifold is the vector bundle of all the cotangent spaces at every point in the manifold. It may be described also as the dual bundle to the tangent bundle. This may ...
'' * Yasha Eliashberg, ''Positive Loops of Contact Transformations'' *
Blaine Lawson Herbert Blaine Lawson, Jr. is a mathematician best known for his work in minimal surfaces, calibrated geometry, and algebraic cycles. He is currently a Distinguished Professor of Mathematics at Stony Brook University. He received his PhD from ...
, ''Projective Hulls and the Projective Gelfand Transformation'' * Dusa McDuff, ''Applications of J-holomorphic Curves'' * Xiaochun Rong, ''Local splitting structures on nonpositively curved manifolds'' *
Dennis Sullivan Dennis Parnell Sullivan (born February 12, 1941) is an American mathematician known for his work in algebraic topology, geometric topology, and dynamical systems. He holds the Albert Einstein Chair at the City University of New York Graduate Ce ...
, ''Algebraic topology in string backgrounds'' *
Gang Tian Tian Gang (; born November 24, 1958) is a Chinese mathematician. He is a professor of mathematics at Peking University and Higgins Professor Emeritus at Princeton University. He is known for contributions to the mathematical fields of Kähler g ...
, ''Extremal Metrics and Holomorphic Discs'' * Edward Witten, ''
Gauge Theory In physics, a gauge theory is a type of field theory in which the Lagrangian (and hence the dynamics of the system itself) does not change (is invariant) under local transformations according to certain smooth families of operations (Lie groups) ...
Scattering From Curves In CP3''


2005 at Stony Brook

*
Nancy Hingston Nancy Burgess Hingston is a mathematician working in differential geometry. She is a professor emerita of mathematics at The College of New Jersey.. Early life and education Nancy Hingston's father William Hingston was superintendent of the Ce ...
, ''Periodic solutions of Hamilton's equations on tori'' * Sergiu Klainerman, ''Null hypersurfaces and curvature estimates in
general relativity General relativity, also known as the general theory of relativity and Einstein's theory of gravity, is the geometric theory of gravitation published by Albert Einstein in 1915 and is the current description of gravitation in modern physics ...
'' *
Bruce Kleiner Bruce Alan Kleiner is an American mathematician, working in differential geometry and topology and geometric group theory. He received his Ph.D. in 1990 from the University of California, Berkeley. His advisor was Wu-Yi Hsiang. Kleiner is a p ...
, ''Singular structure of
mean curvature flow In the field of differential geometry in mathematics, mean curvature flow is an example of a geometric flow of hypersurfaces in a Riemannian manifold (for example, smooth surfaces in 3-dimensional Euclidean space). Intuitively, a family of surf ...
'' * Frank Pacard, ''Blowing up
Kähler manifold In mathematics and especially differential geometry, a Kähler manifold is a manifold with three mutually compatible structures: a complex structure, a Riemannian structure, and a symplectic structure. The concept was first studied by Jan Arnold ...
s with constant
scalar curvature In the mathematical field of Riemannian geometry, the scalar curvature (or the Ricci scalar) is a measure of the curvature of a Riemannian manifold. To each point on a Riemannian manifold, it assigns a single real number determined by the geometry ...
'' *
Rahul Pandharipande Rahul Pandharipande (born 1969) is a mathematician who is currently a professor of mathematics at the Swiss Federal Institute of Technology Zürich (ETH) working in algebraic geometry. His particular interests concern moduli spaces, enumerativ ...
, ''A topological view of Gromov-Witten theory'' * Igor Rodniansky, ''Non-linear waves and Einstein geometry'' *
Yum-Tong Siu Yum-Tong Siu (; born May 6, 1943 in Guangzhou, China) is the William Elwood Byerly Professor of Mathematics at Harvard University. Siu is a prominent figure in the study of functions of several complex variables. His research interests invol ...
, ''Methods of singular metrics in
algebraic geometry Algebraic geometry is a branch of mathematics, classically studying zeros of multivariate polynomials. Modern algebraic geometry is based on the use of abstract algebraic techniques, mainly from commutative algebra, for solving geometrical ...
'' *
Katrin Wehrheim Katrin Wehrheim (born 1974) is an associate professor of mathematics at the University of California, Berkeley. Their research centers around symplectic topology and gauge theory. They are known for their work on pseudoholomorphic quilts. With ...
, ''Floer theories in symplectic topology and
gauge theory In physics, a gauge theory is a type of field theory in which the Lagrangian (and hence the dynamics of the system itself) does not change (is invariant) under local transformations according to certain smooth families of operations (Lie groups) ...
''


2006 at Penn

*
Jeff Cheeger Jeff Cheeger (born December 1, 1943, Brooklyn, New York City) is a mathematician. Cheeger is professor at the Courant Institute of Mathematical Sciences at New York University in New York City. His main interests are differential geometry and ...
, ''Differentiation, bi-Lipschitz nonembedding and embedding'' * Charles Fefferman, ''Fitting a smooth function to data'' * Helmut Hofer, ''On the analytic and geometric foundations of
symplectic field theory The term "symplectic" is a calque of "complex" introduced by Hermann Weyl in 1939. In mathematics it may refer to: * Symplectic Clifford algebra, see Weyl algebra * Symplectic geometry * Symplectic group * Symplectic integrator * Symplectic manifol ...
'' * Ko Honda, ''Reeb vector fields and open book decompositions'' * William H. Meeks, ''The Dynamics Theorem for embedded minimal surfaces'' * Yair Minsky, ''Asymptotic geometry of the mapping class group'' *
Frank Morgan Francis Phillip Wuppermann (June 1, 1890 – September 18, 1949), known professionally as Frank Morgan, was an American character actor. He was best known for his appearances in films starting in the silent era in 1916, and then numerous soun ...
, ''Manifolds with Density'' * Zoltan Szabo, '' Link Floer homology and the Thurston norm''


2007 at Maryland

* Dan Freed, ''Secondary differential-geometric invariants, generalized cohomology, and QCD'' * Xiaobo Lu, ''
Mean curvature flow In the field of differential geometry in mathematics, mean curvature flow is an example of a geometric flow of hypersurfaces in a Riemannian manifold (for example, smooth surfaces in 3-dimensional Euclidean space). Intuitively, a family of surf ...
for isoparametric submanifolds'' * Vitali Kapovitch, ''Some open problems in comparison geometry'' *
Maryam Mirzakhani Maryam Mirzakhani ( fa, مریم میرزاخانی, ; 12 May 1977 – 14 July 2017) was an Iranian mathematician and a professor of mathematics at Stanford University. Her research topics included Teichmüller theory, hyperbolic geometry, ...
, Lattice point asymptotics and conformal densities on Teichmüller space *
Charles Epstein Charles L. Epstein is a Thomas A. Scott Professor of Mathematics at the University of Pennsylvania, Philadelphia.
, ''Stein fillings and index theorems'' * Guoliang Yu, ''Group actions and K-theory'' *
Simon Brendle Simon Brendle (born June 1981) is a German mathematician working in differential geometry and nonlinear partial differential equations. He received his Dr. rer. nat. from Tübingen University under the supervision of Gerhard Huisken (2001). He ...
, ''Blow-up phenomena for the Yamabe PDE in high dimensions''


2008 at Duke

* Michael Anderson, ''Conformally compact Einstein metrics with prescribed conformal infinity'' * Robert Bryant, ''Riemannian Submersions as PDE'' * Greg Galloway, ''Stability of marginally trapped surfaces with applications to black holes'' * Marcus Khuri, ''The
Yamabe Problem The Yamabe problem refers to a conjecture in the mathematical field of differential geometry, which was resolved in the 1980s. It is a statement about the scalar curvature of Riemannian manifolds: By computing a formula for how the scalar curvatur ...
Revisited'' *
John Lott John Richard Lott Jr. (born May 8, 1958) is an American economist, political commentator, and gun rights advocate. Lott was formerly employed at various academic institutions and at the American Enterprise Institute conservative think tank. He ...
, '' Optimal transport in Riemannian geometry and
Ricci flow In the mathematical fields of differential geometry and geometric analysis, the Ricci flow ( , ), sometimes also referred to as Hamilton's Ricci flow, is a certain partial differential equation for a Riemannian metric. It is often said to be analo ...
'' *
William Minicozzi William Philip Minicozzi II is an American mathematician. He was born in Bryn Mawr, Pennsylvania, Bryn Mawr, Pennsylvania, in 1967. Career Minicozzi graduated from Princeton University in 1990 and received his Ph.D. from Stanford University in 199 ...
, ''The rate of change of width under flows'' * Duong Phong, ''Stability and constant
scalar curvature In the mathematical field of Riemannian geometry, the scalar curvature (or the Ricci scalar) is a measure of the curvature of a Riemannian manifold. To each point on a Riemannian manifold, it assigns a single real number determined by the geometry ...
'' * Jeff Viaclovsky, ''Orthogonal Complex Structures''


2009 at Stony Brook

*
Jeff Cheeger Jeff Cheeger (born December 1, 1943, Brooklyn, New York City) is a mathematician. Cheeger is professor at the Courant Institute of Mathematical Sciences at New York University in New York City. His main interests are differential geometry and ...
, '' Quantitative Behavior of Maps from the Heisenberg Group to L1'' * Marcos Dajczer, ''Conformal Killing graphs with prescribed mean curvature'' *
Karsten Grove Karsten Grove is a Danish-American mathematician working in Metric geometry, metric and differential geometry, differential topology and global analysis, mainly in topics related to global Riemannian geometry, Alexandrov geometry, Isometry, isome ...
, '' Positive curvature: the quest for examples'' * Wolfgang Meyer, '' The Contributions of
Detlef Gromoll Detlef Gromoll (13 May 1938 – 31 May 2008) was a mathematician who worked in Differential geometry. Biography Gromoll was born in Berlin in 1938, and was a classically trained violinist. After living and attending school in Rosdorf and gra ...
to Riemannian Geometry'' * Gabriel Paternain, ''Transparent Connections over Negatively Curved Surfaces'' *
Christina Sormani Christina Sormani is a professor of mathematics at City University of New York affiliated with Lehman College and the CUNY Graduate Center. She is known for her research in Riemannian geometry, metric geometry, and Ricci curvature, as well as h ...
, '' The
Intrinsic Flat Distance In mathematics, the intrinsic flat distance is a notion for distance between two Riemannian manifolds which is a generalization of Federer and Fleming's flat distance between submanifolds and integral currents lying in Euclidean space. Overview ...
between Riemannian Manifolds'' * Guofang Wei, '' Smooth Metric Measure Spaces''


2010 at Courant

* Tim Austin (UCLA): Rational group ring elements with kernels having irrational von Neumann dimension *
Xiuxiong Chen Xiuxiong Chen () is a Chinese-American mathematician whose research concerns differential geometry and differential equations. A professor at Stony Brook University since 2010, he was elected a Fellow of the American Mathematical Society in ...
(UW Madison): The space of Kaehler metrics *
Tobias Colding Tobias Holck Colding (born 1963) is a Danish mathematician working on geometric analysis, and low-dimensional topology. He is the great grandchild of Ludwig August Colding. Biography He was born in Copenhagen, Denmark, to Torben Holck Colding ...
(MIT): Sharp Hölder continuity of tangent cones for spaces with a lower Ricci curvature bound and applications *
Marianna Csörnyei Marianna Csörnyei (born October 8, 1975 in Budapest) is a Hungary, Hungarian mathematician who works as a professor at the University of Chicago. She does research in real analysis, geometric measure theory, and geometric nonlinear functional anal ...
(University College London and Yale): Tangents of null sets * Larry Guth (U Toronto): Contraction of surface areas vs. topology of mappings * Jeremy Kahn (Stony Brook): Essential immersed surfaces in closed hyperbolic three-manifolds *
Gang Tian Tian Gang (; born November 24, 1958) is a Chinese mathematician. He is a professor of mathematics at Peking University and Higgins Professor Emeritus at Princeton University. He is known for contributions to the mathematical fields of Kähler g ...
(Princeton): Kähler–Ricci flow through finite-time singularities


2011 at Penn

*
Hubert Bray Hubert Lewis Bray is a mathematician and differential geometry, differential geometer. He is known for having proved the Riemannian Penrose inequality. He works as professor of mathematics and physics at Duke University. Early life and education ...
(Duke): On
dark matter Dark matter is a hypothetical form of matter thought to account for approximately 85% of the matter in the universe. Dark matter is called "dark" because it does not appear to interact with the electromagnetic field, which means it does not ab ...
,
spiral galaxies Spiral galaxies form a class of galaxy originally described by Edwin Hubble in his 1936 work ''The Realm of the Nebulae''general relativity General relativity, also known as the general theory of relativity and Einstein's theory of gravity, is the geometric theory of gravitation published by Albert Einstein in 1915 and is the current description of gravitation in modern physics ...
*
Tobias Colding Tobias Holck Colding (born 1963) is a Danish mathematician working on geometric analysis, and low-dimensional topology. He is the great grandchild of Ludwig August Colding. Biography He was born in Copenhagen, Denmark, to Torben Holck Colding ...
(MIT): Generic
mean curvature flow In the field of differential geometry in mathematics, mean curvature flow is an example of a geometric flow of hypersurfaces in a Riemannian manifold (for example, smooth surfaces in 3-dimensional Euclidean space). Intuitively, a family of surf ...
*
Claude LeBrun Claude R. LeBrun (born 1956) is an American mathematician who holds the position of SUNY Distinguished Professor of Mathematics at Stony Brook University. Much of his research concerns the Riemannian geometry of 4-manifolds, or related topics in ...
(Stony Brook): On Hermitian Einstein 4-manifolds * Natasa Sesum (Rutgers): Yamabe Solitons * Pete Storm (Jane Street Capital): Infinitesimal rigidity of hyperbolic manifolds with totally geodesic boundary *
Brian Weber Brian Weber (born November 12, 1966) is an American professional stock car racing driver. He last competed part-time in the NASCAR Xfinity Series, driving the No. 66 Ford Mustang for MBM Motorsports. Racing career Weber made his debut in the the ...
(Courant): Regularity and convergence of extremal Kaehler metrics * Shing-Tung Yau (Harvard): An appreciation of
Eugenio Calabi Eugenio Calabi (born 11 May 1923) is an Italian-born American mathematician and the Thomas A. Scott Professor of Mathematics, Emeritus, at the University of Pennsylvania, specializing in differential geometry, partial differential equations and ...
and his work * Shing-Tung Yau (Harvard): Quasi-local mass in
general relativity General relativity, also known as the general theory of relativity and Einstein's theory of gravity, is the geometric theory of gravitation published by Albert Einstein in 1915 and is the current description of gravitation in modern physics ...


2012 at Duke

*
John Etnyre John Boyd Etnyre is an American mathematician at the Georgia Institute of Technology, and his research fields include contact geometry, symplectic geometry and low-dimensional topology. He earned his Ph.D. in 1996 from the University of Texas, A ...
(Georgia Institute of Technology): Surgery and tight contact structures *
Valentino Tosatti Valentino may refer to People * Valentino (surname), including a list of people with the name * Valentino (given name), including a list of people with the name Mononymous persons * Valentino (fashion designer) (born Valentino Clemente Ludovico ...
(Columbia University): The evolution of a Hermitian metric by its Chern-Ricci curvature * Carla Cederbaum (Duke University): From
Newton Newton most commonly refers to: * Isaac Newton (1642–1726/1727), English scientist * Newton (unit), SI unit of force named after Isaac Newton Newton may also refer to: Arts and entertainment * ''Newton'' (film), a 2017 Indian film * Newton ( ...
to
Einstein Albert Einstein ( ; ; 14 March 1879 – 18 April 1955) was a German-born theoretical physicist, widely acknowledged to be one of the greatest and most influential physicists of all time. Einstein is best known for developing the theory ...
: A guided tour through space and time *
Jan Metzger Jan, JaN or JAN may refer to: Acronyms * Jackson, Mississippi (Amtrak station), US, Amtrak station code JAN * Jackson-Evers International Airport, Mississippi, US, IATA code * Jabhat al-Nusra (JaN), a Syrian militant group * Japanese Article Numb ...
(Institute for Mathematics, University of Potsdam ): On isoperimetric surfaces in asymptotically flat manifolds * Fernando Codá Marques (IMPA, Brazil): Min-max theory and the
Willmore conjecture In differential geometry, the Willmore conjecture is a lower bound on the Willmore energy of a torus. It is named after the English mathematician Tom Willmore, who conjectured it in 1965. A proof by Fernando Codá Marques and André Neves was ...
* Yanir Rubinstein (Stanford University):
Einstein Albert Einstein ( ; ; 14 March 1879 – 18 April 1955) was a German-born theoretical physicist, widely acknowledged to be one of the greatest and most influential physicists of all time. Einstein is best known for developing the theory ...
metrics on
Kähler manifold In mathematics and especially differential geometry, a Kähler manifold is a manifold with three mutually compatible structures: a complex structure, a Riemannian structure, and a symplectic structure. The concept was first studied by Jan Arnold ...
s *
Simon Brendle Simon Brendle (born June 1981) is a German mathematician working in differential geometry and nonlinear partial differential equations. He received his Dr. rer. nat. from Tübingen University under the supervision of Gerhard Huisken (2001). He ...
(Stanford University): Rotational symmetry of self-similar solutions to the
Ricci flow In the mathematical fields of differential geometry and geometric analysis, the Ricci flow ( , ), sometimes also referred to as Hamilton's Ricci flow, is a certain partial differential equation for a Riemannian metric. It is often said to be analo ...
*
Mu-Tao Wang Mu-Tao Wang () is a Taiwanese mathematician and current Professor of Mathematics at Columbia University. Education He entered National Taiwan University in 1984, originally for international business, but after a year he switched to mathematics. ...
(Columbia University): A variational problem for isometric embeddings and its applications in
general relativity General relativity, also known as the general theory of relativity and Einstein's theory of gravity, is the geometric theory of gravitation published by Albert Einstein in 1915 and is the current description of gravitation in modern physics ...
* Gordana Matic (University of Georgia): Contact invariant in Sutured Floer Homology and fillability


2013 at Maryland

* Bo Berndtsson (Chalmers University): Variations of Bergman kernels and symmetrization of plurisubharmonic functions * Simon Donaldson (Imperial College, London): Kähler-Einstein metrics, extremal metrics and stability * Hans-Joachim Hein (Imperial College, London): Singularities of Kähler-Einstein metrics and complete Calabi–Yau manifolds *
Peter Kronheimer Peter Benedict Kronheimer (born 1963) is a British mathematician, known for his work on gauge theory and its applications to 3- and 4-dimensional topology. He is William Caspar Graustein Professor of Mathematics at Harvard University and former ...
(Harvard University): Instanton homology for knots and webs *
Andrea Malchiodi Andrea Malchiodi (born September 30, 1972) is an Italian mathematician who is active in the fields of partial differential equations and calculus of variations, with several contributions to geometric analysis. Scientific activity Malchiodi rec ...
(SISSA): Uniformization of surfaces with conical singularities *
Aaron Naber According to Abrahamic religions, Aaron ''′aharon'', ar, هارون, Hārūn, Greek (Septuagint): Ἀαρών; often called Aaron the priest ()., group="note" ( or ; ''’Ahărōn'') was a prophet, a high priest, and the elder brother of ...
(MIT): Characterizations of bounded Ricci curvature and applications *
Yuval Peres Yuval Peres ( he, יובל פרס; born 5 October 1963) is a mathematician known for his research in probability theory, ergodic theory, mathematical analysis, theoretical computer science, and in particular for topics such as fractals and Hausdo ...
(Microsoft Research): The geometry of fair allocation to random points * Brian White (Stanford University): Gap theorems for minimal submanifolds of spheres


2014 at Stony Brook

* Robert Bryant (Duke University): Rolling surfaces and exceptional geometry *
Alice Chang Sun-Yung Alice Chang (, hak, Chông Sṳn-yùng, ; born 1948) is a Taiwanese American mathematician specializing in aspects of mathematical analysis ranging from harmonic analysis and partial differential equations to differential geometry. S ...
(Princeton University): On positivity of a class of conformal covariant operators *
Mihalis Dafermos Mihalis Dafermos (Greek language, Greek: Μιχάλης Δαφέρμος; born October 1976) is a Greeks, Greek mathematician. He is Professor of Mathematics at Princeton University and holds the Lowndean Professor of Astronomy and Geometry, Low ...
(Princeton University): On null singularities for the Einstein vacuum equations and the strong cosmic censorship conjecture in general relativity *
Kenji Fukaya Kenji Fukaya (Japanese: 深谷賢治, ''Fukaya Kenji'') is a Japanese mathematician known for his work in symplectic geometry and Riemannian geometry. His many fundamental contributions to mathematics include the discovery of the Fukaya cat ...
(Stony Brook): Mirror symmetry between Toric A model and LG B model: some recent progress * Matthew Gursky (Notre Dame University): Critical metrics on connected sums of Einstein four-manifolds * Robert Haslhofer (New York University): Mean curvature flow with surgery * Andre Neves (Imperial College): Existence of minimal hypersurfaces *
Song Sun Song Sun (, born in 1987) is a Chinese mathematician whose research concerns geometry and topology. A Sloan Research Fellow, he is a professor at the Department of Mathematics of the University of California, Berkeley, where he has been since 2018 ...
(Stony Brook): Kähler-Einstein metrics: Gromov-Hausdorff limits and algebraic geometry


2015 at Courant

* Gábor Székelyhidi (Notre Dame): Kahler-Einstein metrics along the smooth continuity method *
Blaine Lawson Herbert Blaine Lawson, Jr. is a mathematician best known for his work in minimal surfaces, calibrated geometry, and algebraic cycles. He is currently a Distinguished Professor of Mathematics at Stony Brook University. He received his PhD from ...
(Stony Brook): Potential theory for nonlinear PDE's * John Pardon (Stanford): Existence of Lefschetz vibrations on Stein/Weinstein domains * Raanan Schul (Stony Brook): Qualitative and quantitative rectifiability * Ursula Hamenstädt (Bonn): A Gromov/Thurston rigidity theorem for hyperbolic groups *
Tatiana Toro Tatiana Toro is a Colombian-American mathematician at the University of Washington.. Her research is "at the interface of geometric measure theory, harmonic analysis and partial differential equations".. Toro was appointed director of the Simons ...
(Washington): Almost minimizers with free boundary * Richard Bamler (Berkeley): There are finitely many surgeries in Perelman's Ricci flow


2016 at Princeton

*
Claude LeBrun Claude R. LeBrun (born 1956) is an American mathematician who holds the position of SUNY Distinguished Professor of Mathematics at Stony Brook University. Much of his research concerns the Riemannian geometry of 4-manifolds, or related topics in ...
(Stony Brook): Mass in Kähler Geometry * Ian Agol (UC Berkeley and IAS): Pseudo-Anosov stretch factors and homology of mapping tori * Davi Maximo (Stanford): Minimal surfaces with bounded index * Fernando Marques (Princeton): Morse index and multiplicity of min-max minimal hypersurfaces *
Nancy Hingston Nancy Burgess Hingston is a mathematician working in differential geometry. She is a professor emerita of mathematics at The College of New Jersey.. Early life and education Nancy Hingston's father William Hingston was superintendent of the Ce ...
(The College of New Jersey): Loop Products, Index Growth, and Dynamics * Jennifer Hom (Georgia Tech and IAS): Symplectic four-manifolds and Heegaard Floer homology * Fengbo Hang (NYU, Courant): Fourth order Paneitz operator and Q curvature equation * Jake Solomon (Hebrew University): The space of positive Lagrangians


2017 at Duke

*Lucas Ambrozio (Imperial College) - Some new results for free boundary minimal surfaces *Otis Chodosh (Princeton) - ''Some new results on the global geometry of scalar curvature'' *Mark Haskins (Imperial College) *Chi Li (Purdue) - ''On metric tangent cones at Klt singularities'' *Marco Radeschi (Notre Dame) - "When all geodesics are closed" *
Christina Sormani Christina Sormani is a professor of mathematics at City University of New York affiliated with Lehman College and the CUNY Graduate Center. She is known for her research in Riemannian geometry, metric geometry, and Ricci curvature, as well as h ...
(CUNY) - "The Limits of Sequences of manifolds with Nonnegative Scalar Curvature" *Jeff Streets (UC Irvine) - Generalized Kahler Ricci flow and a generalized Calabi conjecture


2018 at Penn

*
Jean-Pierre Bourguignon Jean-Pierre Bourguignon (born 21 July 1947) is a French mathematician, working in the field of differential geometry. Biography Born in Lyon, he studied at École Polytechnique in Palaiseau, graduating in 1969. For his graduate studies he went t ...
(IHES) *
Eugenio Calabi Eugenio Calabi (born 11 May 1923) is an Italian-born American mathematician and the Thomas A. Scott Professor of Mathematics, Emeritus, at the University of Pennsylvania, specializing in differential geometry, partial differential equations and ...
(Penn) *
Yakov Eliashberg Yakov Matveevich Eliashberg (also Yasha Eliashberg; russian: link=no, Яков Матвеевич Элиашберг; born 11 December 1946) is an American mathematician who was born in Leningrad, USSR. Education and career Eliashberg receiv ...
(Stanford) *
Carolyn S. Gordon Carolyn S. Gordon (born 1950) is a mathematician and Benjamin Cheney Professor of Mathematics at Dartmouth College. She is most well known for giving a negative answer to the question "Can you hear the shape of a drum?" in her work with David Webb ...
(Dartmouth) *Daniel Ketover (Princeton) *Yevgeny Liokumovich (MIT) * Rick Schoen (UC Irvine) *Jenny Wilson (Stanford)


2019 at Maryland

* Yann Brenier (ETH, Zurich) - ''Fluid Mechanics and Geometry'' *
Dietmar Salamon Dietmar Arno Salamon (born 7 March 1953 in Bremen) is a German mathematician. Education and career Salamon studied mathematics at the Leibniz University Hannover. In 1982 he earned his doctorate at the University of Bremen with dissertation ''On c ...
(CNRS, DMA-École Normale Supérieure ) - ''Moment maps in symplectic and Kähler geometry'' * Aleksandr Logunov (IAS, Princeton) - ''Zero sets of Laplace eigenfunctions'' * Jim Bryan (University of British Columbia) AG - ''The enumerative geometry and arithmetic of some of the world’s Tiniest Calabi–Yau threefolds'' * Yi Wang (Johns Hopkins University) - ''Boundary operator associated to σk curvature'' * Steven Zelditch (Northwestern University) - ''Spectral asymptotics on stationary spacetimes'' * Xuwen Zhu (University of California, Berkeley) ''Spherical Metrics with Conical Singularities'' * Alex Wright (University of Michigan) - ''Nearly Fuchsian surface subgroups of finite covolume Kleinian groups''


2021 at Stony Brook (via Zoom)

*
Joel Spruck Joel Spruck (born 1946) is a mathematician, J. J. Sylvester Professor of Mathematics at Johns Hopkins University, whose research concerns geometric analysis and elliptic partial differential equations. He obtained his PhD from Stanford University ...
(Johns Hopkins University) - ''A Personal Tribute to Louis Nirenberg'' * Akito Futaki (Yau Center, Tsinghua) - ''Deformation Quantization, and Obstructions to the Existence of Closed Star Products'' *
Jean-Pierre Demailly Jean-Pierre Demailly (25 September 1957 – 17 March 2022) was a French mathematician who worked in complex geometry. He was a professor at Université Grenoble Alpes and a permanent member of the French Academy of Sciences. Early life and edu ...
(Institut Fourier, Grenoble) - ''Holomorphic Morse Inequalities, Old and New'' * Tristan Collins (MIT) - ''SYZ Mirror Symmetry for del Pezzo Surfaces'' * Jim Isenberg (University of Oregon) - ''Some Recent Results on Ricci Flow'' *
Chiu-Chu Melissa Liu Chiu-Chu Melissa Liu (; born December 15, 1974) is a Taiwanese mathematician who works as a professor of mathematics at Columbia University. Her research interests include algebraic geometry and symplectic geometry.
(Columbia University) - ''Topological Recursion and Crepant Transformation Conjecture'' * Bing Wang (USTC) - ''Local entropy along the Ricci flow'' * Simon Donaldson (SCGP, Stony Brook/ Imperial College, London) - ''Some boundary value and mapping problems for differential forms''


2022 at Courant (online)

* Panagiota Daskalopoulos (Columbia University) - ''Ancient solutions to geometric flows'' *Jingyin Huang (The Ohio State University) - ''The Helly geometry of some fundamental groups of complex hyperplane arrangement complements'' *Wenshuai Jiang (Zhejiang University) - ''Gromov–Hausdorff limit of manifolds and some applications'' *Chao Li (Courant Institute of Mathematical Sciences) - ''The geometry and topology of scalar curvature in low dimensions'' *
Ciprian Manolescu Ciprian Manolescu (born December 24, 1978) is a Romanian-American mathematician, working in gauge theory, symplectic geometry, and low-dimensional topology. He is currently a professor of mathematics at Stanford University. Biography Manolescu c ...
(Stanford University) - ''A knot Floer stable homotopy type'' * Assaf Naor (Princeton University) - ''Extension, separation and isomorphic reverse isoperimetry'' *
André Neves André da Silva Graça Arroja Neves (born 1975, Lisbon) is a Portuguese mathematician and a professor at the University of Chicago. He joined the faculty of the University of Chicago in 2016. In 2012, jointly with Fernando Codá Marques, he solv ...
(University of Chicago) - ''Geodesics and minimal surfaces'' *Lu Wang (Yale University) - ''Hypersurfaces of low entropy are isotopically trivial'' *Ruobing Zhang (Princeton University) - ''Metric geometry of Calabi–Yau manifolds in complex dimension two''


References

{{reflist


External links


XIIth Geometry Festival, 1997XVIIth Geometry Festival, 2002XVIIIth Geometry Festival, 2003XIXth Geometry Festival, 2004

23rd Geometry Festival, 200824th Geometry Festival 2009
in memory of
Detlef Gromoll Detlef Gromoll (13 May 1938 – 31 May 2008) was a mathematician who worked in Differential geometry. Biography Gromoll was born in Berlin in 1938, and was a classically trained violinist. After living and attending school in Rosdorf and gra ...

27th Geometry Festival, 201229th Geometry Festival, 201430th Geometry Festival, 201531st Geometry Festival, 201632nd Geometry Festival, 201733rd Geometry Festival, 201835th Geometry Festival, 202136th Geometry Festival, 2022
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