# Anne Schilling

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 with Cristian Lenart at the MFO, 2011

## Education

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]

## Books

With Thomas Lam, Luc Lapointe, Jennifer Morse, Mark Shimozono, and Mike Zabrocki, Schilling is the author of the research monograph ${\displaystyle k}$ -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]

## Recognition

Schilling 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]

## References

1. ^
2. ^ Reviews of ${\displaystyle k}$ -Schur Functions and Affine Schubert Calculus: Arthur L. B. Yang, MR3379711; Nikita Kalinin, Zbl 1360.14004
3. ^ Hunacek, Mark (September 2016), "Review of Linear Algebra as an Introduction to Abstract Mathematics", MAA Reviews
4. ^ Zaldivar, Felipe (November 2017), "Review of Crystal Bases", MAA Reviews
5. ^ 2019 Class of the Fellows of the AMS, American Mathematical Society, retrieved 2018-11-07