Carlos Simpson

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Carlos Tschudi Simpson (born June 30, 1962 ) is an American mathematician who studies algebraic geometry .

Simpson received his PhD in 1987 from Harvard University under Wilfried Schmid ( Systems of Hodge Bundles and Uniformization ). He was a professor at the University of Toulouse Paul Sabatier and then at the University of Nice . He is the research director of the CNRS . He deals with modular spaces of vector bundles, higher non-Abelian De Rham cohomology (Hodge theory), theory of higher categories and verification of proofs with computers (for example he wrote programs for proofs in Zermelo-Fraenkel set theory in the program system Coq). In his dissertation he introduced Higgs bundles at the same time as Nigel Hitchin .

The Deligne-Simpson problem is named after him and Pierre Deligne , an algebraic problem in connection with monodrome matrices. In 1998 he found a counterexample to a work by Wladimir Wojewodski and Michail Kapranow from 1989 on -groupoids and homotopy types.

In 1991 he became a Sloan Research Fellow . He was invited speaker at the 1990 International Congress of Mathematicians in Kyoto ( Nonabelian Hodge Theory ). In 2015 he received the Sophie Germain Prize .

Fonts

  • Constructing variations of Hodge Structure using Yang-Mills-Theory and applications to Uniformization. J. AMS 1, 1988, 867-918.
  • Transcendental Aspects of the Riemann-Hilbert Correspondence. Illinois J. Math., 34, 1990, 368-391.
  • Harmonic bundles on non compact curves. J. AMS 3, 1990, 713-770.
  • Higgs bundles and local systems. Pub. Math. IHES 75, 1992, 5-95, numdam .
  • Modules of representations of the fundamental group of a smooth projective variety. 1,2, pub. Math. IHES, Volume 79, 1994, 47-129, Volume 80, 1994, 5-79.
  • Subspaces of modular spaces of rank one local systems. Annales scientifiques de l'École Normale Supérieure, Sér. 4, Volume 26, 1993, pp. 361-401.
  • Asymptotic behavior of monodromy: singularly perturbed differential equations on a Riemann surface. Lecture Notes in Mathematics, Springer Verlag, 1991.
  • Homotopy Theory of Higher Categories: From Segal Categories to N-Categories. Cambridge University Press, 2012.
  • The Hodge Filtration on nonabelian cohomology. Algebraic geometry, Santa Cruz 1995, Proc. Sympos. Pure Math., 62, Part 2, AMS (1997), 217-281.

Web links

Individual evidence

  1. ↑ Carlos Simpson in the Mathematics Genealogy Project (English)Template: MathGenealogyProject / Maintenance / id used
  2. ↑ Steven Bradlow, Oscar Garcia-Prada, Peter Gothen What is a Higgs bundle? , Notices AMS, 54, 2007, 980, pdf
  3. ↑ Vladimir Kostov The Deligne-Simpson Problem. A survey , 2002
  4. ^ Simpson, Homotopy types of strict 3-groupoids, 1998, Arxiv
  5. ↑ Homotopy hypotheses, Nlab
  6. ↑ Voevodsky, Kapranov, -Groupoids and homotopy types , Cahiers de topologie et géometrie différentielle catégoriques, Volume 32, 1991, pp. 29–46, pdf (Numdam)
personal data
SURNAME Simpson, Carlos
ALTERNATIVE NAMES Simpson, Carlos Tschudi
BRIEF DESCRIPTION American mathematician
DATE OF BIRTH June 30, 1962