Anne Schilling is an American mathematician specializing in algebraic combinatorics, representation theory, and mathematical physics. She is a professor of mathematics at the University of California, Davis.
Anne Schilling is an American mathematician specializing in algebraic combinatorics, representation theory, and mathematical physics. She is a professor of mathematics at the University of California, Davis.
Schilling completed her Ph.D. in 1997 at Stony Brook University. Her dissertation, Bose-Fermi Identities and Bailey Flows in Statistical Mechanics and Conformal Field Theory, was supervised by Barry M. McCoy. [1] From 1997 until 1999, she was a postdoctoral fellow at the Institute for Theoretical Physics at Amsterdam University and from 1999 until 2001, she was a C.L.E. Moore Instructor at the Mathematics Department at M.I.T.. After that she joined the faculty at the Department of Mathematics at UC Davis.
With Thomas Lam, Luc Lapointe, Jennifer Morse, Mark Shimozono, and Mike Zabrocki, Schilling is the author of the research monograph -Schur Functions and Affine Schubert Calculus (Fields Institute Monographs 33, Springer, 2014). [2]
With Isaiah Lankham and Bruno Nachtergaele, Schilling is the author of the textbook on linear algebra, Linear Algebra as an Introduction to Abstract Mathematics (World Scientific, 2016). [3]
With Daniel Bump, she is the author of a more advanced book on crystal bases in representation theory, Crystal Bases: Representations and Combinatorics (World Scientific, 2017). [4]
Schilling was a Fulbright Scholar from 1992-1993 as a doctoral student. In 2002 she received a Humboldt Research Fellowship. She was awarded a Simons Fellowship for the academic year 2012–2013. She was included in the 2019 class of fellows of the American Mathematical Society "for contributions to algebraic combinatorics, combinatorial representation theory, and mathematical physics and for service to the profession". [5] Schilling was selected as the 43rd Emmy Noether Lecturer at the Joint Mathematics Meetings in San Francisco on January 3–6, 2024. [6]
Amalie Emmy Noether was a German mathematician who made many important contributions to abstract algebra. She proved Noether's first and second theorems, which are fundamental in mathematical physics. She was described by Pavel Alexandrov, Albert Einstein, Jean Dieudonné, Hermann Weyl and Norbert Wiener as the most important woman in the history of mathematics. As one of the leading mathematicians of her time, she developed theories of rings, fields, and algebras. In physics, Noether's theorem explains the connection between symmetry and conservation laws.
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Georgia McClure Benkart was an American mathematician who was known for her work in the structure and representation theory of Lie algebras and related algebraic structures. She published over 130 journal articles and co-authored three American Mathematical Society memoirs in four broad categories: modular Lie algebras; combinatorics of Lie algebra representations; graded algebras and superalgebras; and quantum groups and related structures.
Alexander Nikolaevich Varchenko is a Soviet and Russian mathematician working in geometry, topology, combinatorics and mathematical physics.
Mara Dicle Neusel was a mathematician, author, teacher and an advocate for women in mathematics. The focus of her mathematical work was on invariant theory, which can be briefly described as the study of group actions and their fixed points.
Ellen Elizabeth Kirkman is professor of mathematics at Wake Forest University. Her research interests include noncommutative algebra, representation theory, and homological algebra.
Daniel Willis Bump is a mathematician who is a professor at Stanford University. He is a fellow of the American Mathematical Society since 2015, for "contributions to number theory, representation theory, combinatorics, and random matrix theory, as well as mathematical exposition".
Venkatramani Lakshmibai was an Indian mathematician who was a professor emerita of mathematics at Northeastern University in Boston. Her research concerned algebraic geometry, the theory of algebraic groups, and representation theory, including in particular the theory of flag varieties and Schubert varieties.
Jennifer Leigh Morse is a mathematician specializing in algebraic combinatorics. She is a professor of mathematics at the University of Virginia.
Martha K. Smith is an American mathematician, mathematics educator, professor emerita in the department of mathematics, and associated professor emerita in the department of statistics and data science at the University of Texas at Austin. She made contributions to non-commutative algebra and as well as to mathematics education.
