Ken Ono

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Ken Ono is an American mathematician who specializes in number theory, especially in integer partitions, modular forms, and the fields of interest to Srinivasa Ramanujan. He is currently the Manasse Professor of Letters and Science at the University of Wisconsin. He received his BA from the University of Chicago in 1989, and he received his PhD in 1993 at UCLA where his advisor was Basil Gordon.

Ono's contributions include several monographs and over 100 research and popular articles in number theory, combinatorics, and algebra. He is considered to be one of the world's leading experts in the theory of integer partitions and modular forms. In 2000 he 'greatly' expanded Ramanujan's theory of partition congruences, and in work with Kathrin Bringmann he has made important contributions to the theory of Maass forms, functions which include Ramanujan's mock theta functions as examples.

His father, Takashi Ono, is also a mathematician.

Contents

[edit] Honors and Awards

  • National Security Agency Young Investigator (1997)
  • National Science Foundation CAREER Award (1998)
  • Alfred P. Sloan Foundation Research Fellowship (1999)
  • David and Lucile Packard Research Fellowship (1999)
  • Presidential Early Career Award (awarded by Clinton) (2000)
  • National Science Foundation CBMS Distinguished Lecturer (2003)
  • John S. Guggenheim Fellowship (2003)
  • National Science Foundation Director's Distinguished Teaching Scholar Award (2005)

[edit] Selected Publications

Inventiones Mathematicae, 130 (1997), pages 415-454.

  • K. Ono, C. Skinner, Fourier coefficients of half-integral weight modular forms

modulo l, Annals of Mathematics, 147 (1998), pages 453-470.

  • K. Ono, C. Skinner, Nonvanishing of quadratic twists of modular L-functions,

Inventiones Mathematicae, 134 (1998), pages 651-660.

  • W. Kohnen, K. Ono, Indivisibility of class numbers of imaginary quadratic fields

and Shafarevich-Tate groups of elliptic curves with complex multiplication, Inventiones Mathematicae, 135 (1999), pages 387-398.

  • K. Ono, Distribution of the partition function modulo m,

Annals of Mathematics, 151 (2000), pages 293-307.

  • K. Bringmann, K. Ono, The f(q) mock theta function conjecture and partition ranks,

Inventiones Mathematicae, 165 (2006), pages 243-266.

accepted for publication.

  • K. Bringmann, K. Ono, Lifting elliptic cusp forms to Maass forms with an

application to partitions, Proceedings of the National Academy of Sciences, USA, accepted for publication.

  • K. Ono, The web of modularity: Arithmetic of coefficients of modular forms and

q-series, American Mathematical Society, 2004. [ISBN: 0-8218-3368-5]

Notices of the American Mathematical Society, 53 (2006), pages 640-651.

[edit] Editorial Boards

Ono is on the editorial board of ten journals:

[edit] External links

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