Ken Ono

Ken Ono (2009)

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

life and work

Ono is the son of the mathematician Takashi Ono (professor at Johns Hopkins University ) and studied at the University of Chicago (Bachelor's degree in 1989) and the University of California, Los Angeles (UCLA), where he received his master's degree in 1992 and PhD with Basil Gordon in 1993 ( Congruences on the Fourier Coefficients of Modular Forms on with Number-Theoretic Applications ${\ displaystyle \ Gamma _ {0} (N)}$ ). From 1994 to 1995 he was an Assistant Professor at the University of Illinois at Urbana-Champaign . From 1995 to 1997 he was at the Institute for Advanced Study and then Assistant Professor at Penn State University . From 1999 he was Associate Professor and from 2001 Professor at the University of Wisconsin (Madison), from 2008 as Hilldale Professor of Mathematics . Since 2010 he has been the Asa Griggs Candler Professor at Emory University .

Together with Kathrin Bringmann , he developed a theory of the mock theta functions by S. Ramanujan , which embedded them in the theory of Maaß waveforms and thus solved some long-standing problems in number theory.

With Amanda Folsom and Zachary Kent, he expanded Ramanujan’s observations on congruences (mod 5,7,11) of the partition function to a theory of multiplicative partition congruences which, according to the authors, show “ fractal ” behavior. With Jan Hendrik Bruinier he then gave a finite algebraic formula for the partition function.

In 2014, together with Michael J. Griffin and S. Ole Warnaar, he developed a theory for a better understanding of the Rogers-Ramanujan identities.

In 1999 he was Sloan Research and Packard Fellow and in 2003 Guggenheim Fellow. In 2000 he received a Presidential's Career Award from the US President. He is a fellow of the American Mathematical Society .

He was involved in the documentary about Ramanujan The genius of Srinivasa Ramanujan (2013) and was an advisor on the film about Ramanujan The Poetry of Infinity ( The Man Who Knew Infinity , based on the biography of Robert Kanigel about Ramanujan).

He is active in triathlon. His brother Momoro is a music professor at Creighton University and his brother Santa is a biomedical scientist, president of the University of British Columbia and the University of Cincinnati.

Fonts

The web of modularity: arithmetic of the coefficients of modular forms and q-series , American Mathematical Society, 2004
with Bruce Berndt (editor): Number theory and modular forms - paper in memory of Robert Rankin , Kluwer, 2003
with Amir Aczel: My Search for Ramanujan: How I Learned to Count , Springer 2016

literature

Interview in Der Spiegel, No. 28, 2016

Web links

Individual evidence

^ Folsom, Kent, Ono: l-adic properties of the partition function
^ Bruinier, Ono: Algebraic formulas for the coefficients of half-integral weight harmonic weak Maass forms , Arxiv Preprint 2011
^ Adriana Salerno: Road to Partition: Unveiling the Fractal Structure of Partition Numbers, MAA, April, May 2011
↑ Griffin, Ono, Warnaar, A framework of Rogers-Ramanujan identities and their arithmetic properties, Duke Math. J., Volume 165, 2016, pp. 1475–1527, Arxiv Preprint 2014 .
↑ Getting to know Ono, UC Magazine, April 2013

personal data
SURNAME	Ono, Ken
BRIEF DESCRIPTION	American mathematician
DATE OF BIRTH	March 20, 1968
PLACE OF BIRTH	Philadelphia

[1] Folsom, Kent, Ono: l-adic properties of the partition function

[2] Bruinier, Ono: Algebraic formulas for the coefficients of half-integral weight harmonic weak Maass forms , Arxiv Preprint 2011

[3] Adriana Salerno: Road to Partition: Unveiling the Fractal Structure of Partition Numbers, MAA, April, May 2011

[4] Griffin, Ono, Warnaar, A framework of Rogers-Ramanujan identities and their arithmetic properties, Duke Math. J., Volume 165, 2016, pp. 1475–1527, Arxiv Preprint 2014 .

[5] Getting to know Ono, UC Magazine, April 2013