# The Serge Lang Undergraduate Lectures

Serge Lang was a frequent visitor to our department. He spent many summers in Berkeley and often gave lectures to the Math Undergraduate Student Association after students returned to campus at the end of August. Each year from 1999 to 2005, Serge gave a MUSA lecture at 4PM on the first day of classes. MUSA and the Department of Mathematics continue the tradition by hosting a Serge Lang Undergraduate Lecture each fall (or occasionally spring).

*The 2023 Serge Lang Undergraduate Lecture will be given on Friday, September 29, 4-5 pm, at Banatao Auditorium - Sutardja Dai Hall by Professor Ken Ono (University of Virginia).*

**Title:** Distributions in Number Theory

**Abstract.** Number theorists like to count. We count stuff like integer partitions, prime numbers, rational points, quadratic forms, to name a few. The practice of collecting and analyzing numerical data of such objects in large quantities, especially for the purpose of inferring proportions, is known as “Arithmetic Statistics”. This field is thriving, with extraordinary recent results on prime numbers and elliptic curves in the works of Fields medalists Bhargava, Maynard, and Tao. Also, celebrated work on number fields and Galois representations by Matchett Wood and Taylor (and their many collaborators) are resolving longstanding conjectures and opening new fields of study. This lecture will offer a sample of surprising down-to-earth distributions on primes, partitions, and rational points.

**Bio:** Ken Ono is the STEM Advisor to the Provost and the Marvin Rosenblum Professor of Mathematics at the University of Virginia. He studies mathematics, specializing in algebra, arithmetic geometry, combinatorics and number theory. He earned his PhD from UCLA in 1993, and he earned his BA from the University of Chicago in 1989. He is a recipient of a Guggenheim Fellowship, David and Lucile Packard Fellowship, Alfred P. Sloan Foundation Fellowship, and an NSF CAREER Award. In 2000 he received a Presidential Early Career Award at a ceremony at the White House. In 2005 he was named the National Science Foundation Director’s Distinguished Teaching Scholar, the highest honor awarded by NSF for excellence in research and teaching. He is a Fellow of the American Mathematical Society, and he is the recipient of the 2023 University of Chicago Alumni Award for Professional Achievement. Outside academia, he has a footprint in film and sports. He was an Associate Producer of the Hollywood film The Man Who Knew Infinity, which starred Dev Patel and Jeremy Irons, and building on his lifelong interest in sports, he is a technical consultant for elite swimmers and triathletes, having advised multiple NCAA national champions and Olympic medalists.

**Past Serge Lang Undergraduate Lecturers**

2023-24 Ken Ono

2022-23 Jeffrey Lagarias

2021-22 Stephon Alexander

2020-21 Steven Strogatz

2019-20 Persi Diaconis

2018-19 Helene Barcelo

2017-18 Keith Devlin

2016-17 Ravi Vakil

2015-16 Brian Conrad

2014-15 Tony DeRose

2013-14 Bjorn Poonen

2012-13 John Baez

2011-12 Jordan Ellenberg

2010-11 Andrew Granville

2009-10 Benedict H. (Dick) Gross

2008-09 Peter W. Jones

2007-08 John H. Conway

2006-07 William Stein