Stephen S. Kudla (born 1950 Caracas, Venezuela) is an American mathematician working in arithmetic geometry and

automorphic form In harmonic analysis and number theory, an automorphic form is a well-behaved function from a topological group ''G'' to the complex numbers (or complex vector space) which is invariant under the action of a discrete subgroup \Gamma \subset G of ...

s. He is a professor in the Department of Mathematics at the

University of Toronto The University of Toronto (UToronto or U of T) is a public research university in Toronto, Ontario, Canada, located on the grounds that surround Queen's Park. It was founded by royal charter in 1827 as King's College, the first institution ...

Life

After receiving his doctorate, Kudla spent a year at the

Institute for Advanced Study The Institute for Advanced Study (IAS), located in Princeton, New Jersey, in the United States, is an independent center for theoretical research and intellectual inquiry. It has served as the academic home of internationally preeminent scholar ...

in Princeton, following which he joined the faculty at the

University of Maryland, College Park The University of Maryland, College Park (University of Maryland, UMD, or simply Maryland) is a public land-grant research university in College Park, Maryland. Founded in 1856, UMD is the flagship institution of the University System of Mary ...

. Since 2006, he has been a

Canada Research Chair Canada Research Chair (CRC) is a title given to certain Canadian university research professors by the Canada Research Chairs Program. Program goals The Canada Research Chair program was established in 2000 as a part of the Government of Canada ...

Professor at the

. In 1997, he discovered relationships between the Fourier coefficients of derivatives of

Siegel Eisenstein series In mathematics, a Siegel Eisenstein series (sometimes just called an Eisenstein series or a Siegel series) is a generalization of Eisenstein series to Siegel modular forms. gave an explicit formula for their coefficients. Definition The Siegel E ...

and arithmetic invariants of

Shimura varieties In number theory, a Shimura variety is a higher-dimensional analogue of a modular curve that arises as a quotient variety of a Hermitian symmetric space by a congruence subgroup of a reductive algebraic group defined over Q. Shimura varieties are no ...

(heights pairings of arithmetic cycles). 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 The Canadian Mathematical Society (CMS) (french: Société mathématique du Canada) is an association of professional mathematicians dedicated to the interests of mathematical research, outreach, scholarship and education in Canada. It serves the ...

in 2009. He was an Invited Speaker at the 2002

International Congress of Mathematicians The International Congress of Mathematicians (ICM) is the largest conference for the topic of mathematics. It meets once every four years, hosted by the International Mathematical Union (IMU). The Fields Medals, the Nevanlinna Prize (to be rename ...

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 The Pacific Institute for the Mathematical Sciences (PIMS) is a mathematical institute created in 1996 by universities in Western Canada and the Northwestern United States to promote research and excellence in all areas of the mathematical science ...

(PIMS). Since 2004, he has been the co-editor of the

Canadian Journal of Mathematics The ''Canadian Journal of Mathematics'' (french: Journal canadien de mathématiques) is a bimonthly mathematics journal published by the Canadian Mathematical Society. It was established in 1949 by H. S. M. Coxeter and G. de B. Robinson. The cur ...

, and the co-organizer of several conferences at the

Mathematical Research Institute of Oberwolfach The Oberwolfach Research Institute for Mathematics (german: Mathematisches Forschungsinstitut Oberwolfach) is a center for mathematical research in Oberwolfach, Germany. It was founded by mathematician Wilhelm Süss in 1944. It organizes weekl ...

Education

*Ph.D.

State University of New York at Stony Brook Stony Brook University (SBU), officially the State University of New York at Stony Brook, is a public research university in Stony Brook, New York. Along with the University at Buffalo, it is one of the State University of New York system's ...

1975; Dissertation: Real Points on Algebraic Varieties Defined by Quaternion Algebras. Advisor:

Michio Kuga was a mathematician who received his Ph.D. from University of Tokyo in 1960. His work helped lead to a proof of the Ramanujan conjecture which partly follows from the proof of the Weil conjectures by . In 1963–1964, he introduced Kuga fib ...

.The Mathematics Genealogy Project – Stephen Kudla
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Selected publications

* with

Michael Rapoport Michael Rapoport (born 2 October 1948) is an Austrian mathematician. Career Rapoport received his PhD from Paris-Sud 11 University in 1976, under the supervision of Pierre Deligne. He held a chair for arithmetic algebraic geometry at the Univ ...

, 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

References

Living people 20th-century American mathematicians 21st-century American mathematicians Stony Brook University alumni 1950 births {{academic-stub