Stephen S. Kudla

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Stephen S. Kudla (* 1950 in Caracas ) is an American mathematician who studies automorphic forms and arithmetic geometry .

Stephen Kudla, Oberwolfach 2008

Life

Kudla received her PhD in 1975 from Michio Kuga at the State University of New York at Stony Brook (SUNY) ( Real Points on Algebraic Varieties Defined by Quaternion Algebras ). As a post-doctoral student , he was at the Institute for Advanced Study in 1975/76 . From 1975 he was at the University of Maryland in College Park , where he became a professor, and has been a professor at the University of Toronto (Canadian Research Chair) since 2006 .

In 1997 he found connections between the Fourier coefficients of the derivation of Siegel-Eisenstein series and arithmetic invariants of Shimura varieties (heights of arithmetic degrees of cycles on these varieties).

In 1981 he was a Sloan Research Fellow . In 2000 he received the Max Planck Research Prize and in 2009 the Jeffery Williams Prize of the Canadian Mathematical Society . In 2002 he was invited speaker at the International Congress of Mathematicians in Beijing (Derivatives of Eisenstein Series and arithmetic Geometry). In 2011 he was elected a member of the Royal Society of Canada . He is on the Scientific Review Panel of the Pacific Institute of Mathematical Sciences (PIMS). Since 2004 he has been co-editor of the Canadian Journal of Mathematics and is co-organizer of several conferences at the Mathematisches Forschungsinstitut Oberwolfach . He is on the Scientific Advisory Board of the Fields Institute .

Fonts

  • Editor with Yuri Tschinkel , Wee Teck Gan: Eisenstein series and applications . Birkhäuser, 2008
  • with Michael Rapoport , Tonghai Yang: Modular forms and special cycles on Shimura curves . In: Annals of Mathematical Studies , Volume 161, Princeton University Press, 2006
  • Central derivatives of Eisenstein series and height pairings . In: Annals of Mathematical Studies , Volume 146, 1997, pp. 545-646
  • Derivatives of Eisenstein series and generating functions for arithmetic cycles . In: Asterisque , No. 876, Volume 276, Seminaire Bourbaki, 2002
  • Modular forms and arithmetic geometry . In: Current Developments in Mathematics . International Press, Boston 2003, pp. 135-180
  • with Michael Rapoport: Arithmetic Hirzebruch Zagier cycles . In: J. Reine Angewandte Mathematik , Volume 515, 1999, pp. 155-244
  • with Michael Rapoport: Height pairing on Shimura curves and p-adic uniformization . In: Inv. Math. , Vol. 142, 2000, pp. 153-223
  • Central derivatives of Eisenstein series and height pairings . In: Annals of Mathematics , Volume 146, 1997, pp. 545-646
  • Special cycles and derivatives of the Eisenstein series . In: Heegner points and Rankin L-functions , MSRI Publ. , 49, Cambridge University Press, 2004, pp. 243-270
  • with Michael Harris : On a conjecture of Jacquet . In: H. Hida et al. a. (Ed.) Contributions to automorphic forms, geometry and arithmetic . Johns Hopkins University Press, 2004, pp. 355-371
  • with Michael Harris: The central critical value of a triple product L-function . In: Annals of Mathematics , Volume 133, 1991, pp. 605-672

Web links

  • Homepage in Toronto
  • Biography as a member of the Scientific Review Panel of the PIMS

Individual evidence

  1. ↑ Date and place of birth according to A community of scholars. The Institute of Advanced Study. Faculty Members 1930-1980 , IAS 1980
  2. ↑ Stephen S. Kudla in the Mathematics Genealogy Project (English)Template: MathGenealogyProject / Maintenance / id used
  3. ↑ Proc. ICM 2002, Volume 2, p. 1 73
  4. ^ Royal Society of Canada honors 19 U of T faculty members. Retrieved September 20, 2016 .
  5. ^ Scientific Advisory Panel, Fields Institute
personal data
SURNAME Kudla, Stephen S.
BRIEF DESCRIPTION American mathematician
DATE OF BIRTH 1950
PLACE OF BIRTH Caracas