Kannan Soundararajan

K. Soundararajan ( Kannan Soundararajan; * December 27, 1973 in Chennai, Tamil Nadu ) is an Indian- American mathematician who deals with analytic number theory.

Soundararajan grew up in Chennai (Madras ) and won as part of the Indian team in 1991, the silver medal at the International Mathematical Olympiad. From 1991, he studied mathematics at the University of Michigan, with the conclusion of 1995. As a student he won the first Morgan Prize by the American Mathematical Society for work in analytic number theory. Among other things, he proved with Ramachandran Balasubramanian a conjecture in combinatorial number theory by Ronald Graham. In 1995 he went on a scholarship as a Sloan Fellow at Princeton University, where he received his doctorate in 1998 with Peter Sarnak with the dissertation " Quadratic twists of Dirichlet L- Functions". He demonstrated that more than 7/8 of the quadratic L-functions have zeros at the critical point s = 1/2. As a post - graduate student, he was a Fellow of the American Institute of Mathematics, among others, the Institute for Advanced Study. He was a professor at the University of Michigan and since 2006 has been professor at Stanford University and Director of the Mathematics Research Center (MRC ) at Stanford.

His first publication was in 1992 in the Journal of Number Theory and had its roots in work which he had made ​​at the Padma Seshadri High School in Chennai as a student. It deals with multiplicative number theory, such as the distribution of the zeros of the Riemann zeta function, so coherently with the theory of random matrices, and with Dirichlet L- functions and the analytic theory of automorphic forms (Katz - Sarnak theory associated with automorphic forms symmetry groups). He formulated with Jeffrey Lagarias analogous to the abc conjecture an xyz - conjecture for smooth solutions (without large prime factors in a, b, c ) of abc- equations. With Persi Diaconis, he examined different cards mixture problems ( the riffle shuffle ).

With novel Holowinsky from the Ohio State University, he broke in 2008 an important special case of quantum uniqueness Ergodizitäts conjecture ( QUE, quantum unique ergodicity ) of Sarnak and Zeev Rudnick for module surfaces.

In 2003 he was awarded for work on Dirichlet L-functions and related character sums with the Salem Prize. In 2005 he received with Manjul Bhargava SASTRA Ramanujan Prize the first. In 2011 he was awarded the Infosys prize in 2012 and the Ostrowski Prize. In 2010 he was invited speaker at the International Congress of Mathematicians in Hyderabad (Quantum Unique Ergodicity and Number Theory).

Writings

  • Mathematicae with Ken Ono, Ramanujan 's ternary quadratic form, Inventiones, Volume 130, 1997, pp. 415-454
  • With Andrew Granville The spectrum of multiplicative functions, Annals of Mathematics, Volume 153, 2001, pp. 407-470
  • Quantum unique ergodicity of, Annals of Mathematics, Volume 172, 2010, pp. 1529, Preprint Arxiv (equal distribution of zeros of the Maas waveform for high eigenvalues ​​in the module area )
  • With Balasubramanian On a conjecture of RL Graham, Acta Arithmetica, Vol 75, 1996, p 1
  • Mathematicae with Brian Conrey Real zeroes for quadratic Dirichlet L functions, Inventiones, Volume 150, 2002, pp. 1-44, preprint, Arxiv
Sloan Fellows Random matrix Shuffling Mathematics Genealogy Project
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