Yongbin Ruan (; born 14 February 1963) is a Chinese mathematician, specializing 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 ...
,
differential geometry
Differential geometry is a mathematical discipline that studies the geometry of smooth shapes and smooth spaces, otherwise known as smooth manifolds. It uses the techniques of differential calculus, integral calculus, linear algebra and multili ...
, and
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 ...
with applications to
string theory
In physics, string theory is a theoretical framework in which the point-like particles of particle physics are replaced by one-dimensional objects called strings. String theory describes how these strings propagate through space and interac ...
.
Ruan studied from 1978 at
Sichuan University
Sichuan University (SCU) is a National university, national National Key Universities, key public university, public research university in Chengdu, Sichuan, China. The university is wholly funded by Ministry of Education of the People's Republic ...
with ''Benke'' Certificate of graduation followed by a master's degree in 1985. In 1985/86 he was a teaching assistant at the
University of Wisconsin–Madison
A university () is an educational institution, institution of higher education, higher (or Tertiary education, tertiary) education and research which awards academic degrees in several Discipline (academia), academic disciplines. Universities ty ...
. In 1991 he received his Ph.D. from the
University of California, Berkeley
The University of California, Berkeley (UC Berkeley, Berkeley, Cal, or California) is a public land-grant research university in Berkeley, California. Established in 1868 as the University of California, it is the state's first land-grant u ...
with thesis ''Gauge theory and its applications to Riemannian Geometry'' under the supervision of
Robion Kirby
Robion Cromwell Kirby (born February 25, 1938) is a Professor of Mathematics at the University of California, Berkeley who specializes in low-dimensional topology. Together with Laurent C. Siebenmann he invented the Kirby–Siebenmann invariant ...
(and
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 ...
). As a postdoctoral researcher he was at
Michigan State University
Michigan State University (Michigan State, MSU) is a public university, public Land-grant university, land-grant research university in East Lansing, Michigan. It was founded in 1855 as the Agricultural College of the State of Michigan, the fi ...
. In 1993 he became an assistant professor at the
University of Utah
The University of Utah (U of U, UofU, or simply The U) is a public research university in Salt Lake City, Utah. It is the flagship institution of the Utah System of Higher Education. The university was established in 1850 as the University of De ...
. At the University of Wisconsin–Madison he became in 1995 an associate professor and in 1999 a full professor. Since 2006 he is a professor at the
University of Michigan
, mottoeng = "Arts, Knowledge, Truth"
, former_names = Catholepistemiad, or University of Michigania (1817–1821)
, budget = $10.3 billion (2021)
, endowment = $17 billion (2021)As o ...
.
He has been a visiting professor at the
ETH Zurich
(colloquially)
, former_name = eidgenössische polytechnische Schule
, image = ETHZ.JPG
, image_size =
, established =
, type = Public
, budget = CHF 1.896 billion (2021)
, rector = Günther Dissertori
, president = Joël Mesot
, ac ...
, in Hong Kong, and at MIT. He was in 1993 and again in 2004 at the
Institut des hautes études scientifiques, in 1993 at the
Max Planck Institute for Mathematics
The Max Planck Institute for Mathematics (german: Max-Planck-Institut für Mathematik, MPIM) is a prestigious research institute located in Bonn, Germany. It is named in honor of the German physicist Max Planck
and forms part of the Max Planck S ...
, in 1994 at Cambridge's
Isaac Newton Institute
The Isaac Newton Institute for Mathematical Sciences is an international research institute for mathematics and its many applications at the University of Cambridge. It is named after one of the university's most illustrious figures, the mathema ...
, and in 1994 at the
Mathematical Sciences Research Institute
The Simons Laufer Mathematical Sciences Institute (SLMath), formerly the Mathematical Sciences Research Institute (MSRI), is an independent nonprofit mathematical research institution on the University of California campus in Berkeley, Califo ...
.
In 1998 he was an Invited Speaker with talk ''Quantum Cohomology and its Applications'' at the
International Congress of Mathematicians
The International Congress of Mathematicians (ICM) is the largest conference for the topic of mathematics. It meets once every four years, hosted by the International Mathematical Union (IMU).
The Fields Medals, the Nevanlinna Prize (to be rename ...
in
Berlin
Berlin ( , ) is the capital and largest city of Germany by both area and population. Its 3.7 million inhabitants make it the European Union's most populous city, according to population within city limits. One of Germany's sixteen constitue ...
.
From 1995 to 1997 he was a
Sloan Research Fellow
The Sloan Research Fellowships are awarded annually by the Alfred P. Sloan Foundation since 1955 to "provide support and recognition to early-career scientists and scholars". This program is one of the oldest of its kind in the United States.
...
. He became a Fellow of the
American Mathematical Society
The American Mathematical Society (AMS) is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, and serves the national and international community through its publications, meetings, ...
in the class of 2015.
Selected publications
*
*
*
* with W. Chen: ''Orbifold Gromov-Witten theory.'' Orbifolds in mathematics and physics (Madison, WI, 2001), 25–85, Contemp. Math., 310, Amer. Math. Soc., Providence, RI, 2002
* with A. Li: ''Symplectic surgery and Gromov-Witten invariants of Calabi-Yau 3-folds.'' Invent. Math. 145 (2001), no. 1, 151–218.
* with
Gang Tian: ''Higher genus symplectic invariants and sigma models coupled with gravity'',
Inventiones Mathematicae
''Inventiones Mathematicae'' is a mathematical journal published monthly by Springer Science+Business Media. It was established in 1966 and is regarded as one of the most prestigious mathematics journals in the world. The current managing editors ...
, vol. 130, 1997, pp. 455–516
arXiv preprint* ''Topological sigma model and Donaldson type invariants in Gromov theory'',
Duke Mathematical Journal
''Duke Mathematical Journal'' is a peer-reviewed mathematics journal published by Duke University Press. It was established in 1935. The founding editors-in-chief were David Widder, Arthur Coble, and Joseph Miller Thomas
Joseph Miller Thomas (16 ...
, vol. 83, 1996, pp. 63–98
* with Gang Tian: ''A mathematical theory of quantum cohomology'',
Journal of Differential Geometry
The ''Journal of Differential Geometry'' is a peer-reviewed scientific journal of mathematics published by International Press on behalf of Lehigh University in 3 volumes of 3 issues each per year. The journal publishes an annual supplement in book ...
, vol. 42, 1995, pp. 259–367
* ''Stringy geometry and topology of orbifolds'', Contemporary Mathematics, vol. 312
arXiv preprint
References
{{DEFAULTSORT:Ruan, Yongbin
1963 births
Living people
20th-century Chinese mathematicians
21st-century Chinese mathematicians
Chinese expatriates in the United States
Fellows of the American Mathematical Society
Sichuan University alumni
Sloan Research Fellows
University of California, Berkeley alumni
University of Michigan faculty
University of Utah faculty
University of Wisconsin–Madison faculty