Daniel Kane (mathematician)
|Alma mater||Harvard University|
|Awards||Sloan Research Fellowship (2017)|
Morgan Prize (2007)
Putnam Fellow (2003–06)
|Institutions||University of California, San Diego|
|Doctoral advisor||Barry Mazur|
|Other academic advisors||Ken Ono|
Daniel Mertz Kane (born 1986) is an American mathematician. He is currently an assistant professor with a joint position in the Mathematics Department and the Computer Science and Engineering Department at the University of California, San Diego.
Early life and education
He is a mathematical prodigy. By 3rd grade, he had mastered K through 9th-grade mathematics. Starting at age 13, he took honors math courses at the University of Wisconsin–Madison and did research under the mentorship of Ken Ono while dual enrolled at Madison West High School. He earned gold medals in the 2002 and 2003 International Mathematical Olympiads. Prior to his 17th birthday, he resolved an open conjecture proposed years earlier by Andrews and Lewis; for this research, he was named Fellow Laureate of the Davidson Institute for Talent Development.
He graduated Phi Beta Kappa from the Massachusetts Institute of Technology in 2007 with two bachelor's degrees, one in mathematics with computer science and the other in physics. While at MIT, Kane was one of four people since 2003 (and one of eight in the history of the competition) to be named a four-time Putnam Fellow in the William Lowell Putnam Mathematical Competition. He also won the 2007 Morgan Prize and competed as part of the MIT team in the Mathematical Contest in Modeling four times, earning the highest score three times and winning the Ben Fusaro Award in 2004, INFORMS Award in 2006, and SIAM Award in 2007. He also won the Machtey Award as an undergraduate in 2005, with Tim Abbott and Paul Valiant, for the best student-authored paper at the Symposium on Foundations of Computer Science that year, on the complexity of two-player win-loss games.
Kane received his doctorate in mathematics from Harvard University in 2011; his dissertation, on number theory, was supervised by Barry Mazur. In his curriculum vitae, Kane lists as mentors Ken Ono while in high school; Erik Demaine, Joseph Gallian, and Cesar Silva while an undergraduate student at MIT; and Barry Mazur, Benedict Gross, and Henry Cohn while a graduate student at Harvard.
Kane has written over 90 research papers in number theory, combinatorics, game theory, theoretical computer science, and related fields. In 2010, joint work with Jelani Nelson and David Woodruff won both the IBM Pat Goldberg Memorial  and Symposium on Principles of Database Systems (PODS) best paper awards for work on an optimal algorithm for the count-distinct problem. In collaboration with Diakonikolas et al., Kane showed that high-dimensional, computationally efficient, robust estimation is possible.
- New Faculty Watch: George Porter, Daniel M. Kane, UC San Diego Computer Science and Engineering, archived from the original on 2015-01-15, retrieved 2015-01-14.
- "2007 Morgan Prize" (PDF), Notices of the American Mathematical Society, 54 (4): 521–522, April 2007.
- Rimer, Sara (October 10, 2008), "Math Skills Suffer in U.S., Study Finds", The New York Times. The article is primarily about a study jointly authored by Kane's parents, but also mentions Kane's IMO results.
- Madison grad described as genius mathematician, Associated Press, August 6, 2003, archived from the original on 2006-08-29.
- Daniel Kane's results at International Mathematical Olympiad
- 2003 Davidson Fellow Laureates, Davidson Institute, accessed 2015-01-14.
- Joseph A. Gallian, The Putnam Competition from 1938-2012.
- Sipics, Michelle (June 12, 2007), "MIT's "Dream Team" Wins SIAM Award for MCM 07", SIAM News, Society for Industrial and Applied Mathematics.
- FOCS 2005 program, retrieved 2015-01-15.
- Daniel Kane at the Mathematics Genealogy Project
- Curriculum vitae, retrieved 2015-01-15.
- Google scholar profile, retrieved 2015-02-03.
- IBM Pat Goldberg Memorial Best Paper Award
- PODS 2010 program, accessed 2015-01-14;
- FOCS 2016 program