Irwin Kra

Irwin Kra


Distinguished Service Professor Emeritus
Department of Mathematics
Office: Math 4-110A (631) 632-8272; Fax 632-7631
Email: irwin@math.sunysb.edu

Research interests: Complex analysis, especially Riemann surfaces, Kleinian groups and deformations of complex structures. Recent work (mostly joint with H.M. Farkas of the Hebrew University of Jerusalem) involves applications of one variable theta functions to problems in analysis (uniformizations of surfaces), combinatorics (Ramanujan and related partitions) and number theory (coefficients of Fourier series of automorphic forms).
Professor Kra has retired from Stony Brook in 2004. He served as Founding Executive Director of Math for America during 2004 -- 2008.
During the fall of 2008 Professor Kra was a Visiting Scholar at the Mathematical Sciences Research Institute and a Visiting Professor at the Mathematics Department of the University of California at Berkeley.
During the spring of 2010 Professor Kra was a Visiting Professor at the Mathematics Department of Northwestern University.
AMS GRADUATE STUDIES IN MATHEMATICS, VOLUME 37.
  Theta Constants, Riemann Surfaces and the Modular Group:
An Introduction with Applications to Uniformization Theorems,
Partition Identities and Combinatorial Number Theory
(coauthor: Hershel M. Farkas).
SPRINGER GRADUATE TEXTS IN MATHEMATICS, VOLUME 245.
  Complex Analysis, In the Spirit of Lipman Bers, Second Edition (coauthors: Rubi E. Rodriguez and Jane P. Gilman). With a historical appendix by Ranjan Roy.
PUBLICATION LIST: From MathSciNet.
You must have permission for access to MathSciNet. Click here (1) and also here (2).
RECENT REPRINTS AND PREPRINTS:
(with S. Simanca) Circulant Mattrices, Not. Amer. Math. Soc., 59, 2012, pp. 368-377.
(with H.M. Farkas) Automorphic forms for subgroups of the modular group. II: Groups containing congruence subgroups, J. d'Analyse Math., 70, 1996, pp. 91-156.
(with H.M. Farkas) Ramanujan partition identities, Contemporary Math., 240, 1999, pp. 111-130.
(with H.M. Farkas) A function theoretic approach to the Ramanujan partition identities with applications to combinatorial number theory, Contemporary Math., 240, 1999, pp. 131-157.
(with H.M. Farkas) On the quintuple product identity, Proc. Amer. Math. Soc., 127, 1999, pp. 771-778.
Addendum to On the quintuple product identity.
(with H.M. Farkas) Special sets of points on compact Riemann surfaces, Contemporary Math., 256, 2000, 75-94.
(with H.M. Farkas) Three term theta identities, Contemporary Math., 256, 2000, pp. 95-101.
(with H.M. Farkas) Cosines and triangular numbers, Rev. Roumaine Math. Pures Appl., 46, 2001, pp. 37-43.
(with H.M. Farkas) On theta constant identities and the evaluation of trigonometric sum, Contemporary Math., 311, 2002, pp.115--131.
(with H.M. Farkas) Identities in the theory of theta constants, to appear in Contemporary Math.
ARCHIVAL COURSE INFORMATION.
MAT 319, S03
MAT 312/AMS 351 F02

Mat 542 S02 syllabus.
Problem set 1.
Problem set 2.
Problem set 3.
Problem set 4.
Problem set 5.
Problem set 6.
Problem set 7.
Problem set 8.
Problem set 9.
Midterm examination with solutions.
Problem set 10.

MAT 320 F01.

MAT 311 S01.

Mat 542 S99 syllabus.

Mat 543 F99 syllabus.
Complex Analysis Problem Set.
LINKS OF INTEREST.
CENTER FOR ADVANCED STUDIES IN MATHEMATICS, BEN GURION UNIVERSITY, BER-SHEVA, ISRAEL.
Math for America.