Karl-Theodor "Theo" Sturm (born 7.November 1960) is a German

mathematician A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, structure, space, models, and change. History On ...

working in

stochastic analysis Stochastic calculus is a branch of mathematics that operates on stochastic processes. It allows a consistent theory of integration to be defined for integrals of stochastic processes with respect to stochastic processes. This field was created an ...

Life and work

After obtaining his Abitur from the Platen-Gymnasium Ansbach in 1980, Sturm began to study Mathematics and Physics at the

University of Erlangen-Nuremberg A university () is an institution of higher (or tertiary) education and research which awards academic degrees in several academic disciplines. Universities typically offer both undergraduate and postgraduate programs. In the United States, t ...

where he graduated in 1986 with the Diploma in Mathematics and the State Examination in Mathematics and Physics. In 1989, he obtained his PhD (with a thesis on „Perturbation of Hunt processes by signed additive functionals“) under the supervision of

Heinz Bauer Heinz Bauer (31 January 1928 – 15 August 2002) was a German mathematician. Bauer studied at the University of Erlangen-Nuremberg and received his PhD there in 1953 under the supervision of Otto Haupt and finished his habilitation in 1956, b ...

and in 1993 he received his habilitation. Visiting and research positions led him to the universities of Stanford, Zurich, and Bonn as well as to the MPI Leipzig. In 1994, he was awarded a Heisenberg fellowship of the DFG. Since 1997, he is professor of mathematics at the University of Bonn. From 2002 to 2012, he was vice spokesman and member of the executive board of the Collaborative Research Center 611 "Singular Phenomena in Mathematical Models"; since 2013, he is member of the executive board of the Collaborative Research Center 1060 "The Mathematics of Emergent Effects". From 2007 to 2010, he was Managing Director of the Institute for Applied Mathematics. Since 2012, he is Coordinator (Managing Director) of the Cluster of Excellence "

Hausdorff Center for Mathematics The Hausdorff Center for Mathematics (HCM) is a research center in Bonn, formed by the four mathematical institutes of the Rheinische Friedrich-Wilhelms-Universität Bonn (Mathematical Institute, Institute for Applied Mathematics, Institute for ...

". The focus of his research is in

Stochastic Stochastic (, ) refers to the property of being well described by a random probability distribution. Although stochasticity and randomness are distinct in that the former refers to a modeling approach and the latter refers to phenomena themselv ...

and

Geometric Analysis Geometric analysis is a mathematical discipline where tools from differential equations, especially elliptic partial differential equations (PDEs), are used to establish new results in differential geometry and differential topology. The use of l ...

. He gained particular attention with his work on ‚Analysis on local

Dirichlet space In mathematics, the Dirichlet space on the domain \Omega \subseteq \mathbb, \, \mathcal(\Omega) (named after Peter Gustav Lejeune Dirichlet), is the reproducing kernel Hilbert space of holomorphic functions, contained within the Hardy space H^2(\Om ...

s’, 1993-1995, where he introduced geometric concepts for the investigation of stochastic processes and carried over methods from elliptic regularity theory to singular operators on abstract spaces, as well as with his pioneering work on synthetic Ricci bounds for metric measure spaces. The latter was developed in scientific competition with John Lott and

Cédric Villani Cédric Patrice Thierry Villani (; born 5 October 1973) is a French politician and mathematician working primarily on partial differential equations, Riemannian geometry and mathematical physics. He was awarded the Fields Medal in 2010, and he w ...

– which in turn also found recognition in the Laudations for Villani’s

Fields Medal The Fields Medal is a prize awarded to two, three, or four mathematicians under 40 years of age at the International Congress of the International Mathematical Union (IMU), a meeting that takes place every four years. The name of the award ho ...

. In 2016, he was awarded an ERC Advanced Grant for his research project "Metric measure spaces and Ricci curvature – analytic, geometric, and probabilistic challenges". In 2021, he was Plenary Speaker at the 8th

European Congress of Mathematics The European Congress of Mathematics (ECM) is the second largest international conference of the mathematics community, after the International Congresses of Mathematicians (ICM). The ECM are held every four years and are timed precisely betwee ...

in Portoroz ("Metric measure spaces and synthetic Ricci bounds"). In 2022, Sturm was elected a member of the

Academia Europaea The Academia Europaea is a pan-European Academy of Humanities, Letters, Law, and Sciences. The Academia was founded in 1988 as a functioning Europe-wide Academy that encompasses all fields of scholarly inquiry. It acts as co-ordinator of Europea ...

.Member List of the Academia Europeae
retrieved 2022-07-21. Many young researchers received important stimuli for future research during their postdoc with Sturm, among them Shin-ichi Ohta,

Nicola Gigli Nicola may refer to: People * Nicola (name), including a list of people with the given name or, less commonly, the surname **Nicola (artist) or Nicoleta Alexandru, singer who represented Romania at the 2003 Eurovision Song Contest * Nicola people ...

Kazumasa Kuwada Kazumasa (written: 数正, 和正, 和昌, 和政, 一眞, 一正, 一将, 一存, 一政 or 員昌) is a masculine Japanese given name. Notable people with the name include: *, Japanese baseball player *, Japanese musician *, Japanese writer *, J ...

, Jan Maas,

Fabio Cavalletti Fabio is a given name descended from Latin ''Fabius'' and very popular in Italy and Latin America (due to Italian migration). Its English equivalent is Fabian. The name is written without an accent in Italian and Spanish, but is usually accented ...

, and

Sebastian Andres Sebastian may refer to: People * Sebastian (name), including a list of persons with the name Arts, entertainment, and media Films and television * ''Sebastian'' (1968 film), British spy film * ''Sebastian'' (1995 film), Swedish drama film ...

Selected publications

Sturm, K.-T. Super-Ricci flows for metric measure spaces. I, (2016
arXiv:1603.02193
Erbar, M., Kuwada, K., and Sturm, K.-T. On the equivalence of the Entropic curvature-dimension condition and Bochner’s inequality on metric measure spaces, (2013
arXiv:1303.4382
Sturm, K.-T. The space of spaces: curvature bounds and gradient flows on the space of metric measure spaces, (2012
arXiv:1208.0434
Huesmann, M., and Sturm, K.-T
Optimal transport from Lebesgue to Poisson
''The Annals of Probability 41'', 4 (2013), 2426–2478. Ohta, S.-I., and Sturm, K.-T
Non-contraction of heat flow on Minkowski spaces
''Archive for Rational Mechanics and Analysis 204'', 3 (2012), 917-944. Von Renesse, M.-K., and Sturm, K.-T
Entropic measure and Wasserstein diffusion
''The Annals of Probability 37'', 3 (2009), 1114-1191. Sturm, K.-T
On the geometry of metric measure spaces II
''Acta Mathematica 196'', 1 (2006), 133-177. Sturm, K.-T
On the geometry of metric measure spaces
''Acta Mathematica 196'', 1 (2006), 65-131. Von Renesse, M.-K., and Sturm, K.-T
Transport inequalities, gradient estimates, entropy and Ricci curvature
''Communications on Pure and Applied Mathematics 58'', 7 (2005), 923-940. Sturm, K.-T
Analysis on local Dirichlet spaces – III
''Journal de Mathématiques Pures et Appliquées 75'' (1996), 273-297. Sturm, K.-T
Analysis on local Dirichlet spaces – II
''Osaka Journal of Mathematics 32'' (1995), 275-312. Sturm, K.-T
Analysis on local Dirichlet spaces – I
''Journal für die reine und angewandte Mathematik 456'' (1994), 173-196.

References

External links

Karl-Theodor Sturm at the Hausdorff Center for Mathematics

Collaborative Research Center 611 "Singular Phenomena in Mathematical Models"

Collaborative Research Center 1060 "The Mathematics of Emergent Effects"

Hausdorff Center for Mathematics

Press releases of the Hausdorff Center for Mathematics

Fields Medal: Work profile by Julie Rehmeyer and Laudation by Hong-Tzer Yau for Cédric Villani
{{DEFAULTSORT:Sturm, Karl-Theodor Year of birth missing (living people) Living people 20th-century German mathematicians University of Erlangen-Nuremberg alumni Academic staff of the University of Bonn 21st-century German mathematicians