Ken Ono (born March 20, 1968) is an American mathematician with fields of study in number theory. He is the STEM Advisor to the Provost and the Marvin Rosenblum Professor of Mathematics at the University of Virginia.
In the 1980s, Ono attended Towson High School, but he dropped out. He later enrolled at the University of Chicago without a high school diploma. There he raced bicycles, and he was a member of the Pepsi–Miyata Cycling Team.[4]
Ono worked at Pennsylvania State University from 1997 to 2000 as an assistant professor and then as the Louis A. Martarano Professor of Mathematics.[2] He moved to the University of Wisconsin-Madison as an associate professor in 1999, and later became the Solle P. and Margaret Manasse Professor of Letters and Science from 2004 to 2011 and as the Hilldale Professor of Mathematics from 2008 to 2011.[2] He was the Candler Professor of Mathematics at Emory University from 2010 to 2019.[2] In 2019, Ono became the Thomas Jefferson Professor of Mathematics at the University of Virginia, and in Fall 2021 he was named the Marvin Rosenblum Professor of Mathematics and the chairman of the Department of Mathematics.[7][2] He ended his term as chairman in Fall 2022 to become the STEM Advisor to the Provost at the University of Virginia.[2]
In 2000, Ono derived a theory of Ramanujan congruences for the partition function with all prime moduli greater than 3. His paper was published in the Annals of Mathematics.[8] In a joint work with Jan Bruinier, Ono discovered a finite algebraic formula for computing partition numbers.[9]
In 2014, a joint paper by Michael J. Griffin, Ono, and S. Ole Warnaar provided a framework for the Rogers–Ramanujan identities and their arithmetic properties, solving a long-standing mystery stemming from the work of Ramanujan.[10] The findings yield new formulas for algebraic numbers. Their work was ranked 15th among the top 100 stories of 2014 in science by Discover magazine.[11]
In a 2015 joint paper co-authored with John Duncan and Michael Griffin, Ono helped prove the umbral moonshine conjecture.[12] This conjecture was formulated by Miranda Cheng, John Duncan, and Jeff Harvey, and is a generalization of the monstrous moonshine conjecture proved by Richard Borcherds.[12]
In May 2019, Ono published a joint paper (co-authored with Don Zagier and two former students) in the Proceedings of the National Academy of Sciences on the Riemann Hypothesis. Their work proves a large portion of the Jensen-Polya criterion for the Riemann Hypothesis.[13] However, the Riemann Hypothesis remains unsolved. Their work also establishes the Gaussian Unitary Ensemble random matrix condition in derivative aspect for the derivatives of the Riemann Xi function.[14]
Since 2016, Ono used mathematical analysis and modeling to advise elite competitive swimmers including some of the 2020 and 2024 Olympians.[15][16][17][18][19][20][21]
Media
Ono wrote, with Amir Aczel as coauthor, an autobiography, emphasizing the inspiration he gained from Ramanujan's mathematical research.[22][23]
^Griffin, Michael J.; Ono, Ken; Warnaar, S. Ole (2014). "A framework of Rogers–Ramanujan identities and their arithmetic properties". Duke Mathematical Journal. 165 (8). arXiv:1401.7718. doi:10.1215/00127094-3449994. S2CID119616304.