The Joan & Joseph Birman Research Prize in Topology and Geometry was established in 2013 and is a prize given every other year by the Association for Women in Mathematics to an outstanding young female researcher in topology or geometry. The prize fund for the award was established by a donation from Joan Birman and her husband, Joseph Birman.
The winners have included:
Sir Simon Kirwan Donaldson is an English mathematician known for his work on the topology of smooth (differentiable) four-dimensional manifolds, Donaldson–Thomas theory, and his contributions to Kähler geometry. He is currently a permanent member of the Simons Center for Geometry and Physics at Stony Brook University in New York, and a Professor in Pure Mathematics at Imperial College London.
Dusa McDuff FRS CorrFRSE is an English mathematician who works on symplectic geometry. She was the first recipient of the Ruth Lyttle Satter Prize in Mathematics, was a Noether Lecturer, and is a Fellow of the Royal Society. She is currently the Helen Lyttle Kimmel '42 Professor of Mathematics at Barnard College.
Karen Keskulla Uhlenbeck ForMemRS is an American mathematician and one of the founders of modern geometric analysis. She is a professor emeritus of mathematics at the University of Texas at Austin, where she held the Sid W. Richardson Foundation Regents Chair. She is currently a distinguished visiting professor at the Institute for Advanced Study and a visiting senior research scholar at Princeton University.
Clifford Henry Taubes is the William Petschek Professor of Mathematics at Harvard University and works in gauge field theory, differential geometry, and low-dimensional topology. His brother is the journalist Gary Taubes.
The Oswald Veblen Prize in Geometry is an award granted by the American Mathematical Society for notable research in geometry or topology. It was founded in 1961 in memory of Oswald Veblen. The Veblen Prize is now worth US$5000, and is awarded every three years.
Joan Sylvia Lyttle Birman is an American mathematician, specializing in low-dimensional topology. She has made contributions to the study of knots, 3-manifolds, mapping class groups of surfaces, geometric group theory, contact structures and dynamical systems. Birman is research professor emerita at Barnard College, Columbia University, where she has been since 1973.
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.
Yakov Matveevich Eliashberg is an American mathematician who was born in Leningrad, USSR.
Carolyn S. Gordon is a mathematician and Benjamin Cheney Professor of Mathematics at Dartmouth College. She is most well known for giving a negative answer to the question "Can you hear the shape of a drum?" in her work with David Webb and Scott A. Wolpert. She is a Chauvenet Prize winner and a 2010 Noether Lecturer.
The Maryam Mirzakhani Prize in Mathematics is awarded by the U.S. National Academy of Sciences "for excellence of research in the mathematical sciences published within the past ten years." Named after the Iranian mathematician Maryam Mirzakhani, the prize has been awarded every four years since 1988.
The Ruth Lyttle Satter Prize in Mathematics, also called the Satter Prize, is one of twenty-one prizes given out by the American Mathematical Society (AMS). It is presented biennially in recognition of an outstanding contribution to mathematics research by a woman in the previous six years. The award was established in 1990 using a donation from Joan Birman, in memory of her sister, Ruth Lyttle Satter, who worked primarily in biological sciences, and was a proponent for equal opportunities for women in science. First awarded in 1991, the award is intended to "honor [Satter's] commitment to research and to encourage women in science". The winner is selected by the council of the AMS, based on the recommendation of a selection committee. The prize is awarded at the Joint Mathematics Meetings during odd numbered years, and has always carried a modest cash reward. Since 2003, the prize has been $5,000, while from 1997 to 2001, the prize came with $1,200, and prior to that it was $4,000. If a joint award is made, the prize money is split between the recipients.
Julia Elisenda (Eli) Grigsby is an American mathematician who works as a professor at Boston College. Her research began with the study of low-dimensional topology, including knot theory and category-theoretic knot invariants. She is currently working in the field of machine learning.
Emmy Murphy is an American mathematician and a professor at Princeton University who works in the area of symplectic topology, contact geometry and geometric topology.
Emily Riehl is an American mathematician who has contributed to higher category theory and homotopy theory. Much of her work, including her PhD thesis, concerns model structures and more recently the foundations of infinity-categories. She is the author of two textbooks and serves on the editorial boards of three journals.
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.
Kathryn Mann is a mathematician who has won the Rudin Award, Birman Prize, Duszenko Award, and Sloan Fellowship for her research in geometric topology and geometric group theory. She is an assistant professor of mathematics at Cornell University.
Lisa Marie Piccirillo is an American mathematician who works on geometry and low-dimensional topology. In 2020, Piccirillo published a mathematical proof in the journal Annals of Mathematics determining that the Conway knot is not a slice knot, answering an unsolved problem in knot theory first proposed over fifty years prior by English mathematician John Horton Conway. In July 2020, she became an assistant professor of mathematics at Massachusetts Institute of Technology.
Karen Melnick is a mathematician and associate professor at University of Maryland, College Park. She specializes in differential geometry and was most recently awarded the 2020-2021 Joan and Joseph Birman Fellowship for Women Scholars by the American Mathematical Society.
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.
Kristen Hendricks is an American mathematician specializing in low-dimensional topology, including work on involutive Heegaard Floer homology and equivariant Floer homology. She is an associate professor of mathematics at Rutgers University.
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