Matthew Emerton

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Matthew James Emerton (born November 9, 1971 in Canberra ) is an Australian mathematician and professor at the University of Chicago . He deals with algebraic geometry , number theory and representation theory .

Emerton studied mathematics at the University of Melbourne with a bachelor's degree in 1993 and received his PhD with Barry Mazur at Harvard University in 1998 ( 2-adic modular forms of minimal slope ). In 1998 he became an Assistant Professor at the University of Michigan , in 2000 at the University of Chicago and in 2001 at Northwestern University , where he became Professor in 2008. In 2011 he became a professor at the University of Chicago.

He deals with the p-adic Langlands program . With Toby Gee he introduced a new geometric method (Emerton-Gee-Stack).

In 2014 he was invited speaker at the International Congress of Mathematicians in Seoul ( Completed cohomology and the p-adic Langlands Program ).

Fonts

  • with Frank Calegari: Completed cohomology - a survey, in: John Coates u. a., Nonabelian Fundamental Groups and Iwasawa Theory, London Math. Soc. Lecture Notes 393, 2011, pp. 239-257
  • with Frank Calegari: Bounds for multiplicities of unitary representations of cohomological type in spaces of cusp forms, Annals of Mathematics, Volume 170, 2009, pp. 1437-1446.
  • with Mark Kisin: An introduction to the Riemann-Hilbert correspondence for unit F-crystals, in A. Adolphson, Geometric aspects of Dwork theory, Volume 2, De Gruyter 2004, pp. 677-700
  • with Mark Kisin: The Riemann-Hilbert correspondence for unit F-crystals, Asterisque, Volume 293, 2004
  • An introduction to the p-adic geometry of modular curves, Appendix in Gouvea, Deformations of Galois representations, in: B. Conrad, K. Rubin, Arithmetic Algebraic Geometry, IAS / Park City Mathematical Series 9, 2001, pp. 377-398
  • with Mark Kisin : Unit L-functions and a conjecture of Katz, Annals of Mathematics, Volume 153, 2001, pp. 329-354

Web links

Individual evidence

  1. ^ Matthew Emerton in the Mathematics Genealogy Project (English)Template: MathGenealogyProject / Maintenance / id used
personal data
SURNAME Emerton, Matthew
ALTERNATIVE NAMES Emerton, Matthew James (full name)
BRIEF DESCRIPTION Australian mathematician
DATE OF BIRTH November 9, 1971
PLACE OF BIRTH Canberra