In algebraic geometry, a hyperelliptic curve is an algebraic curve of genus g > 1, given by an equation of the form where f(x) is a polynomial of degree n = 2g + 1 > 4 or n = 2g + 2 > 4 with n distinct roots, and h(x) is a polynomial of degree < g + 2 (if the characteristic of the ground field is not 2, one can take h(x) = 0).
Judith A. "Judy" Roitman is a mathematician, a retired professor at the University of Kansas. She specializes in set theory, topology, Boolean algebras, and mathematics education.
Audrey Anne Terras is an American mathematician who works primarily in number theory. Her research has focused on quantum chaos and on various types of zeta functions.
Kristin Estella Lauter is an American mathematician and cryptographer whose research interest is broadly in application of number theory and algebraic geometry in cryptography. She is particularly known for her work in the area of elliptic curve cryptography. She was a researcher at Microsoft Research in Redmond, Washington, from 1999–2021 and the head of the Cryptography Group from 2008–2021; her group developed Microsoft SEAL. In April 2021, Lauter joined Facebook AI Research (FAIR) as the West Coast Head of Research Science. She became the President-Elect of the Association for Women in Mathematics in February 2014 and served as President February 1, 2015 - January 31, 2017.
Bryna Rebekah Kra is an American mathematician and Sarah Rebecca Roland Professor at Northwestern University who is on the board of trustees of the American Mathematical Society and was elected the president of the American Mathematical Society in 2021. As a member of the American Academy of Arts and Sciences and the National Academy of Sciences, Kra has made significant contributions to the structure theory of characteristic factors for multiple ergodic averages. Her academic work centered on dynamical systems and ergodic theory, and uses dynamical methods to address problems in number theory and combinatorics.
Ruth Michele Charney is an American mathematician known for her work in geometric group theory and Artin groups. Other areas of research include K-theory and algebraic topology. She holds the Theodore and Evelyn G. Berenson Chair in Mathematics at Brandeis University. She was in the first group of mathematicians named Fellows of the American Mathematical Society. She was in the first group of mathematicians named Fellows of the Association for Women in Mathematics. She served as president of the Association for Women in Mathematics during 2013–2015, and served as president of the American Mathematical Society for the 2021–2023 term.
Alice Silverberg is professor of Mathematics and Computer Science at the University of California, Irvine. She was faculty at the Ohio State University from 1984 through 2004. She has given over 300 lectures at universities around the world, and she has brought attention to issues of sexism and discrimination through her blog Alice's Adventures in Numberland.
Ling Long is a Chinese mathematician whose research concerns modular forms, elliptic surfaces, and dessins d'enfants, as well as number theory in general. She is a professor of mathematics at Louisiana State University.
Marie A. Vitulli is an American mathematician and professor emerita at the University of Oregon.
Alina Carmen Cojocaru is a Romanian mathematician who works in number theory and is known for her research on elliptic curves, arithmetic geometry, and sieve theory. She is a professor of mathematics at the University of Illinois at Chicago and a researcher in the Institute of Mathematics of the Romanian Academy.
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 a Clare Boothe Luce Professor at Boston University.
Michelle Ann Manes is an American mathematician whose research interests span the fields of number theory, algebraic geometry, and dynamical systems. She is a professor of mathematics at the University of Hawaii at Manoa, and has been a program director for algebra and number theory at the National Science Foundation.
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 to an outstanding young female researcher in algebra or number theory. It was funded in 2012 by Microsoft Research and first issued in 2014.
Andrew Victor Sutherland is an American mathematician and Principal Research Scientist at the Massachusetts Institute of Technology. His research focuses on computational aspects of number theory and arithmetic geometry. He is known for his contributions to several projects involving large scale computations, including the Polymath project on bounded gaps between primes, the L-functions and Modular Forms Database, the sums of three cubes project, and the computation and classification of Sato-Tate distributions.
Bianca L. Viray is an American mathematician and professor at the University of Washington in Seattle. She works in arithmetic geometry, which is a blend of algebraic geometry and algebraic number theory.
Alina Ioana Bucur is a Romanian-born mathematician and an associate professor of mathematics at the University of California, San Diego. Bucur's research is in analytic number theory with an emphasis on arithmetic statistics.
Katherine E. Stange is a Canadian-American mathematician and an associate professor of mathematics at the University of Colorado Boulder. She is a number theorist specializing in topics in arithmetic geometry.
Emille Davie Lawrence is a mathematician specializing in topological graph theory. She is Term Associate Professor and Chair of Mathematics and Statistics at the University of San Francisco.
Renate Scheidler is a German and Canadian mathematician and computer scientist specializing in computational number theory and its applications in cryptography. She is a professor at the University of Calgary, in the Department of Mathematics & Statistics and the Department of Computer Science. She is the co-editor-in-chief of Contributions to Discrete Mathematics and one of the founders of the Women in Number Theory research community and the Women in Numbers conference series.
Ellen Elizabeth Eischen is an American mathematician specializing in number theory, and especially in the analytic, geometric, and algebraic properties of automorphic forms and L-functions. She is a professor of mathematics at the University of Oregon and a von Neumann Fellow at the Institute for Advanced Study.
