Ken Ono

Ken Ono ( born March 20, 1968) is an American mathematician who deals with combinatorics, modular forms and number theory.

Ono attended the University of Chicago ( Bachelor 1989) and the University of California, Los Angeles (UCLA ), where he in 1992 for his Masters degree made ​​and received his doctorate at Basil Gordon 1993 ( Congruences on the Fourier Coefficients of Modular Forms on with Number - Theoretic Applications). 1994 to 1995 he was Assistant Professor at the University of Illinois at Urbana- Champaign. 1995 to 1997 he was at the Institute for Advanced Study, and then an assistant professor at Penn State University. From 1999 he was an associate professor and from 2001 professor at the University of Wisconsin (Madison ), from 2008 Hilldale Professor of Mathematics. Since 2010 he is Asa Griggs Candler Professor at Emory University.

With Kathrin Bringmann, he developed a theory of mock theta functions of Ramanujan, the embedding them in the real analytic theory ( Maass ) modular forms and so solved some long open problems in number theory.

With Amanda Folsom and Zachary Kent, he expanded observations of S. Ramanujan congruences over (mod 5,7,11 ) of the partition function for a theory of multiplicative partition congruences, show according to the authors " fractal " behavior. With Jan Hendrik Bruinier he subsequently gave a finite algebraic formula for the partition function.

In 1999 he was Sloan Fellow and Guggenheim Fellow in 2003 and was Packard Fellow. In 2000 he received a Presidential 's Career Award of the U.S. president. He is a Fellow of the American Mathematical Society.

Writings

• The web of modularity: arithmetic of the coefficients of modular forms and q -series, American Mathematical Society, 2004
• Bruce Berndt (Editor ): Number theory and modular forms - paper in memory of Robert Rankin, Kluwer, 2003