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Anne Schilling is an American mathematician specializing in
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* {{DEFAULTSORT:Schilling, Anne Year of birth missing (living people) Living people 20th-century American mathematicians 21st-century American mathematicians American women mathematicians Combinatorialists Mathematical physicists Stony Brook University alumni University of California, Davis faculty Fellows of the American Mathematical Society 20th-century women mathematicians 21st-century women mathematicians 20th-century American women 21st-century American women
Anne Schilling is an American mathematician specializing 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 alge ...
, representation theory
Representation theory is a branch of mathematics that studies abstract algebraic structures by ''representing'' their elements as linear transformations of vector spaces, and studies modules over these abstract algebraic structures. In essen ...
, and mathematical physics
Mathematical physics refers to the development of mathematical methods for application to problems in physics. The ''Journal of Mathematical Physics'' defines the field as "the application of mathematics to problems in physics and the developmen ...
. She is a professor of mathematics at the University of California, Davis
The University of California, Davis (UC Davis, UCD, or Davis) is a public land-grant research university near Davis, California. Named a Public Ivy, it is the northernmost of the ten campuses of the University of California system. The institu ...
.
Education
Schilling completed her Ph.D. in 1997 atStony Brook University
Stony Brook University (SBU), officially the State University of New York at Stony Brook, is a public research university in Stony Brook, New York. Along with the University at Buffalo, it is one of the State University of New York system' ...
. Her dissertation, ''Bose-Fermi Identities and Bailey Flows in Statistical Mechanics and Conformal Field Theory'', was supervised by Barry M. McCoy
Barry Malcolm McCoy (born 14 December 1940 in Trenton, New Jersey) is an American physicist, known for his contributions to classical statistical mechanics, integrable models and conformal field theories.
He earned a B.Sc. from California Instit ...
. 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.
Books
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). With Isaiah Lankham andBruno Nachtergaele
Bruno Leo Zulma Nachtergaele (24 June 1962 in Oudenaarde) is a Belgian mathematical physicist.
Nachtergaele studied physics with a licentiate degree in 1984 from the Katholieke Universiteit Leuven. There he was awarded in 1987 a doctorate in theo ...
, Schilling is the author of the textbook on linear algebra
Linear algebra is the branch of mathematics concerning linear equations such as:
:a_1x_1+\cdots +a_nx_n=b,
linear maps such as:
:(x_1, \ldots, x_n) \mapsto a_1x_1+\cdots +a_nx_n,
and their representations in vector spaces and through matrices.
...
, ''Linear Algebra as an Introduction to Abstract Mathematics'' (World Scientific, 2016).
With Daniel Bump
Daniel Willis Bump (born 13 May 1952) 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 rand ...
, she is the author of a more advanced book on crystal bases in representation theory
Representation theory is a branch of mathematics that studies abstract algebraic structures by ''representing'' their elements as linear transformations of vector spaces, and studies modules over these abstract algebraic structures. In essen ...
, ''Crystal Bases: Representations and Combinatorics'' (World Scientific, 2017).
Recognition
Schilling was included in the 2019 class of fellows of theAmerican Mathematical Society
The American Mathematical Society (AMS) is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, and serves the national and international community through its publications, meetings, ...
"for contributions to algebraic combinatorics, combinatorial representation theory, and mathematical physics and for service to the profession". For the academic year 2012–2013 she was awarded a Simons Fellowship. In 2002 she received a Humboldt Research Fellowship and was a Fulbright Scholar from 1992-1993 as a doctoral student.
References
External links
Home page
* {{DEFAULTSORT:Schilling, Anne Year of birth missing (living people) Living people 20th-century American mathematicians 21st-century American mathematicians American women mathematicians Combinatorialists Mathematical physicists Stony Brook University alumni University of California, Davis faculty Fellows of the American Mathematical Society 20th-century women mathematicians 21st-century women mathematicians 20th-century American women 21st-century American women