The AWM–Microsoft Research Prize in Algebra and Number Theory was established in 2012 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 one of the broad areas of mathematics. Roughly speaking, algebra is the study of mathematical symbols and the rules for manipulating these symbols in formulas; it is a unifying thread of almost all of mathematics. Elementary a ...

number theory Number theory (or arithmetic or higher arithmetic in older usage) is a branch of pure mathematics devoted primarily to the study of the integers and arithmetic function, integer-valued functions. German mathematician Carl Friedrich Gauss (1777� ...

. The winners have included: * Sophie Morel (2014), for her research in

, particularly her contributions to the

Langlands program In representation theory and algebraic number theory, the Langlands program is a web of far-reaching and influential conjectures about connections between number theory and geometry. Proposed by , it seeks to relate Galois groups in algebraic num ...

, 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 viewe ...

, 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 is a space that parameterizes all -Dimension, dimensional linear subspaces of the -dimensional vector space . For example, the Grassmannian is the space of lines through the origin in , so it is the same as the ...

, her work on

cluster algebra Cluster algebras are a class of commutative rings introduced by . A cluster algebra of rank ''n'' is an integral domain ''A'', together with some subsets of size ''n'' called clusters whose union generates the algebra ''A'' and which satisfy variou ...

s, and her proof (with Musiker and Schiffler) of the famous Laurent positivity conjecture. *

Melanie Wood Melanie Matchett Wood (born 1981) is an American mathematician at Harvard University who was the first woman to qualify for the U.S. International Mathematical Olympiad Team. She completed her PhD in 2009 at Princeton University (under Manjul Bha ...

(2018), for her research in

and

algebraic geometry Algebraic geometry is a branch of mathematics, classically studying zeros of multivariate polynomials. Modern algebraic geometry is based on the use of abstract algebraic techniques, mainly from commutative algebra, for solving geometrical ...

, 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 f ...

, as well as her work with

Ravi Vakil Ravi D. Vakil (born February 22, 1970) is a Canadian-American mathematician working in algebraic geometry. Education and career Vakil attended high school at Martingrove Collegiate Institute in Etobicoke, Ontario, where he won several mathematic ...

on the limiting behavior of natural families of varieties. *

Melody Chan Melody Tung Chan is an American mathematician and violinist who works as Associate Professor of Mathematics at Brown University. She is a winner of the Alice T. Schafer Prize and of the AWM–Microsoft Research Prize in Algebra and Number Theory ...

(2020), in recognition of her advances at the interface between algebraic geometry and combinatorics. *

Jennifer Balakrishnan Jennifer Shyamala Sayaka Balakrishnan is an American mathematician known for leading a team that solved the problem of the "cursed curve", a Diophantine equation that was known for being "famously difficult". More generally, Balakrishnan speciali ...

(2022), in recognition of her advances in computing rational points on algebraic curves over number fields.

References

External links

AWM–Microsoft Research Prize

{{DEFAULTSORT:AWM-Microsoft Research Prize in Algebra and Number Theory Awards honoring women Awards and prizes of the Association for Women in Mathematics

See also

References

External links