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AWM–Microsoft Research Prize In Algebra And Number Theory
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 to an outstanding young female researcher in algebra or number theory. The winners have included: * Sophie Morel (2014), for her research in number theory, particularly her contributions to the Langlands program, an application of her results on weighted cohomology, and a new proof of Brenti's combinatorial formula for Kazhdan-Lusztig polynomials. * Lauren Williams (2016), for her research in algebraic combinatorics, particularly her contributions on the totally nonnegative Grassmannian, 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 number theory and algebraic geometry, particularly her contributions in arithmetic statistics and tropical geometry, as well as her work with Ravi Vakil on the limiting b ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 of women and girls in the mathematical sciences. The AWM was founded in 1971 and incorporated in the state of Massachusetts. AWM has approximately 5200 members, including over 250 institutional members, such as colleges, universities, institutes, and mathematical societies. It offers numerous programs and workshops to mentor women and girls in the mathematical sciences. Much of AWM's work is supported through federal grants. History The Association was founded in 1971 as the Association of Women Mathematicians, but the name was changed almost immediately. As reported in "A Brief History of the Association for Women in Mathematics: The Presidents' Perspectives", by Lenore Blum: Mary Gray, an early organizer and first president, place ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 Bhargava) and is currently Professor of Mathematics at Harvard University, after being Chancellor's Professor of Mathematics at UC Berkeley and Vilas Distinguished Achievement Professor of Mathematics at the University of Wisconsin, and spending 2 years as Szegö Assistant Professor at Stanford University. She is a number theorist; more specifically, her research centers on arithmetic statistics, with excursions into related questions in arithmetic geometry and probability theory. Wood was born in Indianapolis, Indiana, to Sherry Eggers and Archie Wood, both middle school teachers. Her father, a mathematics teacher, died of cancer when Wood was six weeks old. While a high school student at Park Tudor School in Indianapolis, Wood (then a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Notices Of The American Mathematical Society
''Notices of the American Mathematical Society'' is the membership journal of the American Mathematical Society (AMS), published monthly except for the combined June/July issue. The first volume appeared in 1953. Each issue of the magazine since January 1995 is available in its entirety on the journal web site. Articles are peer-reviewed by an editorial board of mathematical experts. Since 2019, the editor-in-chief is Erica Flapan. The cover regularly features mathematical visualizations. The ''Notices'' is self-described to be the world's most widely read mathematical journal. As the membership journal of the American Mathematical Society, the ''Notices'' is sent to the approximately 30,000 AMS members worldwide, one-third of whom reside outside the United States. By publishing high-level exposition, the ''Notices'' provides opportunities for mathematicians to find out what is going on in the field. Each issue contains one or two such expository articles that describe current d ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
List Of Mathematics Awards
This list of mathematics awards is an index to articles about notable awards for mathematics. The list is organized by the region and country of the organization that sponsors the award, but awards may be open to mathematicians from around the world. Some of the awards are limited to work in a particular field, such as topology or analysis Analysis ( : analyses) is the process of breaking a complex topic or substance into smaller parts in order to gain a better understanding of it. The technique has been applied in the study of mathematics and logic since before Aristotle (3 ..., while others are given for any type of mathematical contribution. International Americas Asia Europe Oceania See also * Lists of awards * Lists of science and technology awards {{Science and technology awards Mathematics ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
List Of Awards Honoring Women
This list of awards honoring women is an index to articles about notable awards honoring women. It excludes media, science and technology and sports awards, which are covered by separate lists, and it excludes orders of chivalry for women. The list is organized by region and country of the sponsoring organization, but some awards are open to women around the world. International Americas Asia Europe Oceania See also * Lists of awards * List of science and technology awards for women * List of media awards honoring women * List of awards for actresses * List of film awards for lead actress * List of television awards for Best Actress * List of sports awards honoring women * List of female Nobel laureates References {{Phaleristics Women Natalism Awards An award, sometimes called a distinction, is something given to a recipient as a token of recognition of excellence in a certain field. When the token is a medal, ribbon or other item design ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 specializes in algorithmic number theory and arithmetic geometry. She is the Clare Boothe Luce Associate Professor at Boston University. Education and career Balakrishnan was born in Mangilao, Guam to Narayana and Shizuko Balakrishnan; her father is a professor of chemistry at the University of Guam. As a junior at Harvest Christian Academy, Balakrishnan won an honorable mention in the 2001 Karl Menger Memorial Award competition, for the best mathematical project in the Intel International Science and Engineering Fair. Her project concerned elliptic coordinate systems. In the following year, she won the National High School Student Calculus Competition, given as part of the United States of America Mathematical Olympiad. Balakrishnan graduated fr ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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. Her research involves combinatorial commutative algebra, graph theory, and tropical geometry. Education and career Chan was inspired to become a violinist as a pre-schooler, seeing Yo-Yo Ma on Sesame Street. As a freshman at Scarsdale High School in Scarsdale, New York, she became the youngest first place winner of the 1997 Young Artists Competition of the Sarah Lawrence College chamber orchestra. She studied violin at Juilliard School with Itzhak Perlman and Dorothy DeLay from 2000 to 2001. In 2002, she played a Vivaldi concerto for four violins alongside Perlman in a performance at the Lincoln Center for the Performing Arts that was broadcast on PBS. She then majored in computer science and mathematics at Yale University. At Yale she ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 mathematical contests and olympiads. After earning a BSc and MSc from the University of Toronto in 1992, he completed a PhD in mathematics at Harvard University in 1997 under Joe Harris. He has since been an instructor at both Princeton University and MIT. Since the fall of 2001, he has taught at Stanford University, becoming a full professor in 2007. Contributions Vakil is an algebraic geometer and his research work spans over enumerative geometry, topology, Gromov–Witten theory, and classical algebraic geometry. He has solved several old problems in Schubert calculus. Among other results, he proved that all Schubert problems are enumerative over the real numbers, a result that resolves an issue mathematicians have worked on for at le ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 example, the classical polynomial x^3 + 2xy + y^4 would become \min\. Such polynomials and their solutions have important applications in optimization problems, for example the problem of optimizing departure times for a network of trains. Tropical geometry is a variant of algebraic geometry in which polynomial graphs resemble piecewise linear meshes, and in which numbers belong to the tropical semiring instead of a field. Because classical and tropical geometry are closely related, results and methods can be converted between them. Algebraic varieties can be mapped to a tropical counterpart and, since this process still retains some geometric information about the original variety, it can be used to help prove and generalize classical ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 problems about these sets of zeros. The fundamental objects of study in algebraic geometry are algebraic varieties, which are geometric manifestations of solutions of systems of polynomial equations. Examples of the most studied classes of algebraic varieties are: plane algebraic curves, which include lines, circles, parabolas, ellipses, hyperbolas, cubic curves like elliptic curves, and quartic curves like lemniscates and Cassini ovals. A point of the plane belongs to an algebraic curve if its coordinates satisfy a given polynomial equation. Basic questions involve the study of the points of special interest like the singular points, the inflection points and the points at infinity. More advanced questions involve the topo ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 various conditions. Definitions Suppose that ''F'' is an integral domain, such as the field Q(''x''1,...,''x''''n'') of rational functions in ''n'' variables over the rational numbers Q. A cluster of rank ''n'' consists of a set of ''n'' elements of ''F'', usually assumed to be an algebraically independent set of generators of a field extension ''F''. A seed consists of a cluster of ''F'', together with an exchange matrix ''B'' with integer entries ''b''''x'',''y'' indexed by pairs of elements ''x'', ''y'' of the cluster. The matrix is sometimes assumed to be skew-symmetric, so that ''b''''x'',''y'' = –''b''''y'',''x'' for all ''x'' and ''y''. More generally the matrix might be skew-symmetrizable, meaning there are positive integers ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Algebra
Algebra () is one of the areas of mathematics, 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 algebra deals with the manipulation of variable (mathematics), variables (commonly represented by Roman letters) as if they were numbers and is therefore essential in all applications of mathematics. Abstract algebra is the name given, mostly in mathematical education, education, to the study of algebraic structures such as group (mathematics), groups, ring (mathematics), rings, and field (mathematics), fields (the term is no more in common use outside educational context). Linear algebra, which deals with linear equations and linear mappings, is used for modern presentations of geometry, and has many practical applications (in weather forecasting, for example). There are many areas of mathematics that belong to algebra, ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
