Stephen S. Kudla FRSC (born 1950 Caracas, Venezuela[1]) is an American mathematician working in arithmetic geometry and automorphic forms. He is a professor in the Department of Mathematics at the University of Toronto.[2][3]

Stephen S. Kudla
Oberwolfach, 2008
Born1950
Caracas, Venezuela
NationalityAmerican
Alma materStony Brook University
Known forKudla Program
AwardsSloan Fellow
Max-Planck Research Award
Jeffery–Williams Prize
Scientific career
FieldsMathematics
InstitutionsUniversity of Maryland, College Park
University of Toronto
Doctoral advisorMichio Kuga

Life edit

After receiving his doctorate, Kudla spent a year at the Institute for Advanced Study in Princeton, following which he joined the faculty at the University of Maryland, College Park.[4] Since 2006, he has been a Canada Research Chair Professor at the University of Toronto.

In 1997, he discovered relationships between the Fourier coefficients of derivatives of Siegel Eisenstein series and arithmetic invariants of Shimura varieties (heights pairings of arithmetic cycles).[5]

He was a Sloan Fellow in 1981, received the Max-Planck Research Award in 2000, and the Jeffery–Williams Prize of the Canadian Mathematical Society in 2009. He was an Invited Speaker at the 2002 International Congress of Mathematicians in Beijing, where he gave a lecture on "Derivatives of Eisenstein series and arithmetic geometry". He is on the Scientific Review Panel of the Pacific Institute for the Mathematical Sciences (PIMS). Since 2004, he has been the co-editor of the Canadian Journal of Mathematics, and the co-organizer of several conferences at the Mathematical Research Institute of Oberwolfach.

Education edit

Selected publications edit

  • with Michael Rapoport, T. Yang: Modular forms and special cycles on Shimura curves. In: Annals of Mathematics Studies. 161. Princeton University Press, Princeton, NJ, 2006. x+373 pages ISBN 0-691-12551-1 MR2220359

References edit

  1. ^ A Community of Scholars, The Institute for Advanced Study, Faculty and Members 1930–1980 [1]
  2. ^ Kudla, Stephen » Department of Mathematics
  3. ^ Canada Research Chair – Stephen Kudla
  4. ^ Pacific Institute for the Mathematical Sciences, Past Members
  5. ^ Kudla, Stephen S. (1997). "Central Derivatives of Eisenstein Series and Height Pairings". Annals of Mathematics. 146 (3): 545–646. doi:10.2307/2952456. JSTOR 2952456.
  6. ^ The Mathematics Genealogy Project – Stephen Kudla