The AWM–Microsoft Research Prize in Algebra and Number Theory and is a prize given every other year by the

Association for Women in Mathematics The Association for Women in Mathematics (AWM) is a professional society whose mission is to encourage women and girls to study and to have active careers in the mathematical sciences, and to promote equal opportunity for and the equal treatment o ...

to an outstanding young female researcher in

algebra Algebra is a branch of mathematics that deals with abstract systems, known as algebraic structures, and the manipulation of expressions within those systems. It is a generalization of arithmetic that introduces variables and algebraic ope ...

number theory Number theory is a branch of pure mathematics devoted primarily to the study of the integers and arithmetic functions. Number theorists study prime numbers as well as the properties of mathematical objects constructed from integers (for example ...

. It was funded in 2012 by

Microsoft Research Microsoft Research (MSR) is the research subsidiary of Microsoft. It was created in 1991 by Richard Rashid, Bill Gates and Nathan Myhrvold with the intent to advance state-of-the-art computing and solve difficult world problems through technologi ...

and first issued in 2014.

Winners

* Sophie Morel (2014), for her research in

, particularly her contributions to the

Langlands program In mathematics, the Langlands program is a set of conjectures about connections between number theory, the theory of automorphic forms, and geometry. It was proposed by . It seeks to relate the structure of Galois groups in algebraic number t ...

, an application of her results on weighted

cohomology In mathematics, specifically in homology theory and algebraic topology, cohomology is a general term for a sequence of abelian groups, usually one associated with a topological space, often defined from a cochain complex. Cohomology can be viewed ...

, and a new proof of Brenti's combinatorial formula for Kazhdan-Lusztig polynomials. * Lauren Williams (2016), for her research in

algebraic combinatorics Algebraic combinatorics is an area of mathematics that employs methods of abstract algebra, notably group theory and representation theory, in various combinatorial contexts and, conversely, applies combinatorial techniques to problems in algeb ...

, particularly her contributions on the totally nonnegative

Grassmannian In mathematics, the Grassmannian \mathbf_k(V) (named in honour of Hermann Grassmann) is a differentiable manifold that parameterizes the set of all k-dimension (vector space), dimensional linear subspaces of an n-dimensional vector space V over a ...

, her work on cluster algebras, and her proof (with Musiker and Schiffler) of the famous Laurent positivity conjecture. * Melanie Wood (2018), for her research in

and

algebraic geometry Algebraic geometry is a branch of mathematics which uses abstract algebraic techniques, mainly from commutative algebra, to solve geometry, geometrical problems. Classically, it studies zero of a function, zeros of multivariate polynomials; th ...

, particularly her contributions in arithmetic statistics and

tropical geometry In mathematics, tropical geometry is the study of polynomials and their geometric properties when addition is replaced with minimization and multiplication is replaced with ordinary addition: : x\oplus y=\min\, : x\otimes y=x+y. So for exampl ...

, as well as her work with

Ravi Vakil Ravi D. Vakil (born February 22, 1970) is a Canadian-American mathematician working in algebraic geometry. He is the current president of the American Mathematical Society. Education and career Vakil attended high school at Martingrove Collegiat ...

on the limiting behavior of natural families of varieties. * Melody Chan (2020), in recognition of her advances at the interface between algebraic geometry and combinatorics. * Jennifer Balakrishnan (2022), in recognition of her advances in computing rational points on algebraic curves over number fields. *

Yunqing Tang 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 co ...

(2024), for "work in

arithmetic geometry In mathematics, arithmetic geometry is roughly the application of techniques from algebraic geometry to problems in number theory. Arithmetic geometry is centered around Diophantine geometry, the study of rational points of algebraic varieties. ...

, including results on the Grothendieck–Katz

p

-curvature conjecture, a conjecture of Ogus on algebraicity of cycles, arithmetic intersection theory, and the unbounded denominators conjecture of Atkin and Swinnerton-Dyer"

References

External links

AWM–Microsoft Research Prize

{{DEFAULTSORT:AWM-Microsoft Research Prize in Algebra and Number Theory Awards and prizes of the Association for Women in Mathematics Algebra Number theory Microsoft Research 2014 establishments in the United States Awards established in 2014 Research awards Biennial events Science awards honoring women

Winners

See also

References

External links