Atle Selberg was a Norwegian mathematician known for his work in analytic number theory and the theory of automorphic forms, and in particular for bringing them into relation with spectral theory. He was awarded the Fields Medal in 1950 and an honorary Abel Prize in 2002.
John Torrence Tate Jr. was an American mathematician distinguished for many fundamental contributions in algebraic number theory, arithmetic geometry, and related areas in algebraic geometry. He was awarded the Abel Prize in 2010.
In mathematics, analytic number theory is a branch of number theory that uses methods from mathematical analysis to solve problems about the integers. It is often said to have begun with Peter Gustav Lejeune Dirichlet's 1837 introduction of Dirichlet L-functions to give the first proof of Dirichlet's theorem on arithmetic progressions. It is well known for its results on prime numbers and additive number theory.
Peter Clive Sarnak is a South African-born mathematician with dual South-African and American nationalities. Sarnak has been a member of the permanent faculty of the School of Mathematics at the Institute for Advanced Study since 2007. He is also Eugene Higgins Professor of Mathematics at Princeton University since 2002, succeeding Sir Andrew Wiles, and is an editor of the Annals of Mathematics. He is known for his work in analytic number theory. He also sits on the Board of Adjudicators and the selection committee for the Mathematics award, given under the auspices of the Shaw Prize.
Akshay Venkatesh is an Australian mathematician and a professor at the School of Mathematics at the Institute for Advanced Study. His research interests are in the fields of counting, equidistribution problems in automorphic forms and number theory, in particular representation theory, locally symmetric spaces, ergodic theory, and algebraic topology.
Kannan Soundararajan is an Indian-born American mathematician and a professor of mathematics at Stanford University. Before moving to Stanford in 2006, he was a faculty member at University of Michigan, where he had also pursued his undergraduate studies. His main research interest is in analytic number theory, particularly in the subfields of automorphic L-functions, and multiplicative number theory.
Henryk Iwaniec is a Polish-American mathematician, and since 1987 a professor at Rutgers University. He is a member of the American Academy of Arts and Sciences and Polish Academy of Sciences. He has made important contributions to analytic and algebraic number theory as well as harmonic analysis. He is the recipient of Cole Prize (2002), Steele Prize (2011), and Shaw Prize (2015).
The infinite series whose terms are the natural numbers 1 + 2 + 3 + 4 + ⋯ is a divergent series. The nth partial sum of the series is the triangular number
Ken Ono is an American mathematician who specializes in number theory, especially in integer partitions, modular forms, umbral moonshine, the Riemann Hypothesis and the fields of interest to Srinivasa Ramanujan. He is the STEM Advisor to the Provost and the Marvin Rosenblum Professor of Mathematics at the University of Virginia.
Toshikazu Sunada is a Japanese mathematician and author of many books and essays on mathematics and mathematical sciences. He is professor emeritus of both Meiji University and Tohoku University. He is also distinguished professor of emeritus at Meiji in recognition of achievement over the course of an academic career. Before he joined Meiji University in 2003, he was professor of mathematics at Nagoya University (1988–1991), at the University of Tokyo (1991–1993), and at Tohoku University (1993–2003). Sunada was involved in the creation of the School of Interdisciplinary Mathematical Sciences at Meiji University and is its first dean (2013–2017). Since 2019, he is President of Mathematics Education Society of Japan.
Kathrin Bringmann is a German number theorist in the University of Cologne, Germany, who has made fundamental contributions to the theory of mock theta functions.
Kanakanahalli Ramachandra was an Indian mathematician working in both analytic number theory and algebraic number theory.
James Alexander Maynard is an English mathematician working in analytic number theory and in particular the theory of prime numbers. In 2017, he was appointed Research Professor at Oxford. Maynard is a fellow of St John's College, Oxford. He was awarded the Fields Medal in 2022 and the New Horizons in Mathematics Prize in 2023.
Jonathan Peter Keating is a British mathematician. As of September 2019, he is the Sedleian Professor of Natural Philosophy at the University of Oxford, and from 2012 to 2019 was the Henry Overton Wills Professor of Mathematics at the University of Bristol, where he served as Dean of the Faculty of Science (2009–2013). He has made contributions to applied mathematics and mathematical physics, in particular to quantum chaos, random matrix theory and number theory.
Kaisa Sofia Matomäki is a Finnish mathematician specializing in number theory. Since September 2015, she has been working as an Academic Research Fellow in the Department of Mathematics and Statistics, University of Turku, Turku, Finland. Her research includes results on the distribution of multiplicative functions over short intervals of numbers; for instance, she showed that the values of the Möbius function are evenly divided between +1 and −1 over short intervals. These results, in turn, were among the tools used by Terence Tao to prove the Erdős discrepancy problem.
Maksym Radziwill is a Polish-Canadian mathematician specializing in number theory. He is currently a professor of mathematics at the California Institute of Technology.
Jack A. Thorne is a British mathematician working in number theory and arithmetic aspects of the Langlands Program. He specialises in algebraic number theory.
Yifeng Liu is a Chinese professor of mathematics at Zhejiang University specializing in number theory, automorphic forms and arithmetic geometry.
Will Sawin is an associate professor of mathematics at Columbia University specialising in number theory and algebraic geometry and other areas. He was also a Clay Research Fellow in Clay Mathematical Institute. He earned his PhD degree from Princeton University in 2016 on "A Tannakian Category and a Horizontal Equidistribution Conjecture for Exponential Sums" under the supervision of Nick Katz. Will Sawin has found important applications of etale cohomology to theory of exponential sums over finite fields and also of classical counting techniques in analytic number theory in the study of cohomology in spaces which are of interest in algebraic geometry. He also contributes to the mathematical community in several ways including his regular posts in the MathOverflow website. Will Sawin was awarded the SASTRA Ramanujan Prize in 2021 for his contributions to the area of mathematics influenced by Srinivasa Ramanujan. In 2023, Sawin received the Sloan Fellowship.
Yunqing Tang is a mathematician specialising in number theory and arithmetic geometry and an Assistant Professor at University of California, Berkeley. She was awarded the SASTRA Ramanujan Prize in 2022 for "having established, by herself and in collaboration, a number of striking results on some central problems in arithmetic geometry and number theory".
