Английская Википедия:Andrew Sutherland (mathematician)

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Шаблон:Infobox scientist Andrew Victor Sutherland is an American mathematician and Principal Research Scientist at the Massachusetts Institute of Technology.Шаблон:R His research focuses on computational aspects of number theory and arithmetic geometry.Шаблон:R He is known for his contributions to several projects involving large scale computations, including the Polymath project on bounded gaps between primes,Шаблон:RШаблон:RШаблон:RШаблон:RШаблон:R the L-functions and Modular Forms Database,Шаблон:RШаблон:R the sums of three cubes project,Шаблон:RШаблон:RШаблон:R and the computation and classification of Sato-Tate distributions.Шаблон:RШаблон:RШаблон:RШаблон:R

Education and career

Sutherland earned a bachelor's degree in mathematics from MIT in 1990.Шаблон:R Following an entrepreneurial career in the software industry he returned to MIT and completed his doctoral degree in mathematics in 2007 under the supervision of Michael Sipser and Ronald Rivest, winning the George M. Sprowls prize for his thesis.Шаблон:RШаблон:R He joined the MIT mathematics department as a Research Scientist in 2009, and was promoted to Principal Research Scientist in 2011.Шаблон:R

He is one of the principal investigators in the Simons Collaboration on Arithmetic Geometry, Number Theory, and Computation, a large multi-university collaboration involving Boston University, Brown, Harvard, MIT, and Dartmouth College,Шаблон:R and he currently serves as an Associate Editor of Mathematics of Computation, Editor in Chief of Research in Number Theory,Шаблон:R Managing Editor of the L-functions and Modular Forms Database,Шаблон:R and President of the Number Theory Foundation.Шаблон:R

Contributions

Sutherland has developed or improved several methods for counting points on elliptic curves and hyperelliptic curves, that have applications to elliptic curve cryptography, hyperelliptic curve cryptography, elliptic curve primality proving, and the computation of L-functions.Шаблон:RШаблон:RШаблон:RШаблон:R These include improvements to the Schoof–Elkies–Atkin algorithmШаблон:RШаблон:R that led to new point-counting recordsШаблон:R, and average polynomial-time algorithms for computing zeta functions of hyperelliptic curves over finite fields, developed jointly with David Harvey.Шаблон:RШаблон:RШаблон:R

Much of Sutherland's research involves the application of fast point-counting algorithms to numerically investigate generalizations of the Sato-Tate conjecture regarding the distribution of point counts for a curve (or abelian variety) defined over the rational numbers (or a number field) when reduced modulo prime numbers of increasing size.Шаблон:RШаблон:RШаблон:RШаблон:R. It is conjectured that these distributions can be described by random matrix models using a "Sato-Tate group" associated to the curve by a construction of Serre.Шаблон:RШаблон:R In 2012 Francesc Fite, Kiran Kedlaya, Victor Rotger and Sutherland classified the Sato-Tate groups that arise for genus 2 curves and abelian varieties of dimension 2,Шаблон:R and in 2019 Fite, Kedlaya, and Sutherland announced a similar classification to abelian varieties of dimension 3.Шаблон:R

In the process of studying these classifications, Sutherland compiled several large data sets of curves and then worked with Andrew Booker and others to compute their L-functions and incorporate them into the L-functions and Modular Forms Database.Шаблон:RШаблон:RШаблон:R More recently, Booker and Sutherland resolved Mordell's question regarding the representation of 3 as a sum of three cubes.Шаблон:RШаблон:RШаблон:R

Recognition

Sutherland was named to the 2021 class of fellows of the American Mathematical Society "for contributions to number theory, both on the theoretical and computational aspects of the subject". He was selected to deliver the Arf Lecture in 2022.

Selected publications

• Шаблон:Cite journal
• Шаблон:Cite journal
• Шаблон:Cite conference
• Шаблон:Cite journal
• Шаблон:Cite conference

External links

• Andrew Sutherland's profile at MIT
• Andrew Sutherland's profile on MathSciNet
• Andrew Sutherland's profile on zbMath
• Andrew Sutherland's profile on Google Scholar
• Andrew Sutherland's preprints on arXiv