HR job title
- Professor
- Contact Info
- 1 000 000 0000
Witherspoon, Sarah Professor
Positions
- Professor, Mathematics, College of Arts and Sciences
- Overview
- Publications
- Research
- Teaching
- Works By Students
- Background
- Contact
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Overview
Publications
selected publications
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academic article
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Fryer, S., Kanstrup, T., Kirkman, E., Shepler, A. V., & Witherspoon, S.
(2019).
Color Lie rings and PBW deformations of skew group algebras. Journal of Algebra.
518, 211-236.
-
Van C. Nguyen, .., Wang, X., & Witherspoon, S.
(2019).
Finite generation of some cohomology rings via twisted tensor product and Anick resolutions. Journal of Pure and Applied Algebra.
223(1), 316-339.
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Shepler, A., & Witherspoon, S.
(2019).
Resolutions for twisted tensor products. PACIFIC JOURNAL OF MATHEMATICS.
298(2), 445-469.
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Plavnik, J. Y., & Witherspoon, S.
(2018).
Tensor Products and Support Varieties for Some Noncocommutative Hopf Algebras. Algebras and Representation Theory.
21(2), 259-276.
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Shepler, A. V., & Witherspoon, S.
(2018).
Deforming group actions on Koszul algebras. Mathematical Research Letters.
25(5), 1613-1644.
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Walton, C., & Witherspoon, S.
(2018).
PBW deformations of braided products. Journal of Algebra.
504, 536-567.
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Yakubu, A.
(2018).
Population cycles in discrete-time infectious disease models. Notices of the American Mathematical Society.
65(09), 1-1.
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Negron, C., & Witherspoon, S.
(2017).
The Gerstenhaber bracket as a Schouten bracket for polynomial rings extended by finite groups. Proceedings of the London Mathematical Society.
115(6), 1149-1169.
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Grimley, L., Nguyen, V., & Witherspoon, S.
(2017).
Gerstenhaber brackets on Hochschild cohomology of twisted tensor products. Journal of Noncommutative Geometry.
11(4), 1351-1379.
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Montgomery, S., Vega, M. D., & Witherspoon, S.
(2016).
Hopf automorphisms and twisted extensions. Journal of Algebra and Its Applications.
15(06), 1650103-1650103.
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Naidu, D., & Witherspoon, S.
(2016).
Hochschild cohomology and quantum Drinfeld Hecke algebras. Selecta Mathematica.
22(3), 1537-1561.
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Shroff, P., & Witherspoon, S.
(2016).
PBW deformations of quantum symmetric algebras and their group extensions. Journal of Algebra and Its Applications.
15(03), 1650049-1650049.
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Negron, C., & Witherspoon, S.
(2016).
An alternate approach to the Lie bracket on Hochschild cohomology. Homology, Homotopy and Applications.
18(1), 265-285.
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Witherspoon, S., & Zhou, G.
(2016).
Gerstenhaber brackets on Hochschild cohomology of quantum symmetric algebras and their group extensions. PACIFIC JOURNAL OF MATHEMATICS.
283(1), 223-255.
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Pevtsova, J., & Witherspoon, S.
(2015).
Tensor ideals and varieties for modules of quantum elementary abelian groups. Proceedings of the American Mathematical Society.
143(9), 3727-3741.
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Shepler, A. V., & Witherspoon, S.
(2015).
PBW Deformations of Skew Group Algebras in Positive Characteristic. Algebras and Representation Theory.
18(1), 257-280.
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Feldvoss, J., & Witherspoon, S.
(2015).
Erratum to Support Varieties and Representation Type of Small Quantum Groups. 2015(1), 288-290.
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Shepler, A. V., & Witherspoon, S.
(2014).
A Poincar-Birkhoff-Witt theorem for quadratic algebras with group actions. Transactions of the American Mathematical Society.
366(12), 6483-6506.
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Benson, D., & Witherspoon, S.
(2014).
Examples of support varieties for Hopf algebras with noncommutative tensor products. Archiv der Mathematik.
102(6), 513-520.
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Nguyen, V., & Witherspoon, S.
(2014).
Finite generation of the cohomology of some skew group algebras. Algebra and Number Theory.
8(7), 1647-1657.
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Walton, C., & Witherspoon, S.
(2014).
PoincarBirkhoffWitt deformations of smash product algebras from Hopf actions on Koszul algebras. Algebra and Number Theory.
8(7), 1701-1731.
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Shepler, A. V., & Witherspoon, S.
(2012).
Group actions on algebras and the graded Lie structure of Hochschild cohomology. Journal of Algebra.
351(1), 350-381.
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Shepler, A., & Witherspoon, S.
(2012).
Drinfeld orbifold algebras. PACIFIC JOURNAL OF MATHEMATICS.
259(1), 161-193.
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Feldvoss, J., & Witherspoon, S.
(2011).
Support varieties and representation type of self-injective algebras. Homology, Homotopy and Applications.
13(2), 197-215.
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Naidu, D., Shroff, P., & Witherspoon, S.
(2011).
Hochschild cohomology of group extensions of quantum symmetric algebras. Proceedings of the American Mathematical Society.
139(5), 1553-1567.
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Shepler, A. V., & Witherspoon, S.
(2011).
Finite groups acting linearly: Hochschild cohomology and the cup product. Advances in Mathematics.
226(4), 2884-2910.
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Shepler, A., & Witherspoon, S.
(2011).
Quantum differentiation and chain maps of bimodule complexes. Algebra and Number Theory.
5(3), 339-360.
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Mastnak, M., Pevtsova, J., Schauenburg, P., & Witherspoon, S.
(2010).
Cohomology of finitedimensional pointed Hopf algebras. Proceedings of the London Mathematical Society.
100(2), 377-404.
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Benkart, G., Pereira, M., & Witherspoon, S.
(2010).
YetterDrinfeld modules under cocycle twists. Journal of Algebra.
324(11), 2990-3006.
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Feldvoss, J., & Witherspoon, S.
(2010).
Support Varieties and Representation Type of Small Quantum Groups. 2010(7), 1346-1362.
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Pevtsova, J., & Witherspoon, S.
(2009).
Varieties for Modules of Quantum Elementary Abelian Groups. Algebras and Representation Theory.
12(6), 567-595.
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Cibils, C., Lauve, A., & Witherspoon, S.
(2009).
Hopf quivers and Nichols algebras in positive characteristic. Proceedings of the American Mathematical Society.
137(12), 4029-4041.
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Mastnak, M., & Witherspoon, S.
(2009).
Bialgebra cohomology, pointed Hopf algebras, and deformations. Journal of Pure and Applied Algebra.
213(7), 1399-1417.
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Etingof, P., Rowell, E., & Witherspoon, S.
(2008).
Braid group representations from twisted quantum doubles of finite groups. PACIFIC JOURNAL OF MATHEMATICS.
234(1), 33-41.
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Shepler, A. V., & Witherspoon, S.
(2008).
Hochschild cohomology and graded Hecke algebras. Transactions of the American Mathematical Society.
360(8), 3975-4005.
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Benkart, G., & Witherspoon, S.
(2007).
Quantum group actions, twisting elements, and deformations of algebras. Journal of Pure and Applied Algebra.
208(1), 371-389.
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Witherspoon, S.
(2007).
Twisted graded Hecke algebras. Journal of Algebra.
317(1), 30-42.
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Pakianathan, J., Witherspoon, S., & Siegel, S. F.
(2006).
Quillen stratification for hochschild cohomology of blocks. Transactions of the American Mathematical Society.
358(7), 2897-2916.
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Witherspoon, S.
(2006).
Skew Derivations and Deformations of a Family of Group Crossed Products. Communications in Algebra.
34(11), 4187-4206.
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Cldraru, A., Giaquinto, A., & Witherspoon, S.
(2004).
Algebraic deformations arising from orbifolds with discrete torsion. Journal of Pure and Applied Algebra.
187(1-3), 51-70.
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Witherspoon, S. J.
(2004).
Products in Hochschild cohomology and Grothendieck rings of group crossed products. Advances in Mathematics.
185(1), 136-158.
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Benkart, G., & Witherspoon, S.
(2004).
Two-Parameter Quantum Groups and Drinfel'd Doubles. Algebras and Representation Theory.
7(3), 261-286.
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Pakianathan, J., & Witherspoon, S.
(2003).
Hochschild cohomology and Linckelmann cohomology for blocks of finite groups. Journal of Pure and Applied Algebra.
178(1), 87-100.
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Witherspoon, S. J.
(2002).
Clifford correspondence for algebras. Journal of Algebra.
256(2), 518-530.
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Benkart, G., & Witherspoon, S.
(2001).
A Hopf structure for down-up algebras. Mathematische Zeitschrift.
238(3), 523-553.
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Witherspoon, S. J.
(2000).
A module-theoretic approach to clifford theory for blocks. Proceedings of the American Mathematical Society.
128(3), 661-670.
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Siegel, S. F., & Witherspoon, S. J.
(2000).
The hochschild cohomology ring of a cyclic block. Proceedings of the American Mathematical Society.
128(5), 1263-1268.
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Witherspoon, S. J.
(1999).
The Representation Ring and the Centre of a Hopf Algebra. Canadian Journal of Mathematics.
51(4), 881-896.
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Siegel, S. F., & Witherspoon, S. J.
(1999).
The Hochschild Cohomology Ring of a Group Algebra. Proceedings of the London Mathematical Society.
79(1), 131-157.
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Witherspoon, S. J.
(1999).
Clifford Correspondence for Finite Dimensional Hopf Algebras. Journal of Algebra.
218(2), 608-620.
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Montgomery, S., & Witherspoon, S. J.
(1998).
Irreducible representations of crossed products. Journal of Pure and Applied Algebra.
129(3), 315-326.
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Witherspoon, S. J.
(1996).
The Representation Ring of the Twisted Quantum Double of a Finite Group. Canadian Journal of Mathematics.
48(6), 1324-1338.
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Witherspoon, S. J.
(1996).
The Representation Ring of the Quantum Double of a Finite Group. Journal of Algebra.
179(1), 305-329.
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Witherspoon, S. J.
(1995).
The Ring of Equivariant Vector Bundles on Finite Sets. Journal of Algebra.
175(1), 274-286.
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Fryer, S., Kanstrup, T., Kirkman, E., Shepler, A. V., & Witherspoon, S.
(2019).
Color Lie rings and PBW deformations of skew group algebras. Journal of Algebra.
518, 211-236.
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conference paper
-
Witherspoon, S.
(2018).
Varieties for Modules of Finite Dimensional Hopf Algebras. Springer Proceedings in Mathematics and Statistics.
481-495.
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Witherspoon, S.
(2018).
Varieties for Modules of Finite Dimensional Hopf Algebras. Springer Proceedings in Mathematics and Statistics.
481-495.
Research
principal investigator on
- Homological Techniques for Noncommutative Algebras and Tensor Categories awarded by Directorate for Mathematical & Physical Sciences - (Arlington, Virginia, United States) 2020 - 2023
- Cohomology of Noncommutative Rings: Structure and Applications awarded by National Science Foundation - (Arlington, Virginia, United States) 2017 - 2020
- Noncommutative Representation Theory awarded by National Science Foundation - (Arlington, Virginia, United States) 2014 - 2018
Teaching
teaching activities
- MATH172 Hnr-calculus Instructor
- MATH220 Foundations Of Math Instructor
- MATH300 Foundations Of Math Instructor
- MATH367 Basic Concepts Of Geom Instructor
- MATH415 Modern Algebra I Instructor
- MATH491 Hnr-research Instructor
- MATH653 Algebra I Instructor
- MATH654 Algebra Ii Instructor
- MATH662 Seminar In Algebra Instructor
- MATH685 Directed Studies Instructor
- MATH691 Research Instructor
Works By Students
chaired theses and dissertations
-
Grimley, Lauren Elizabeth (2016-04). Brackets on Hochschild cohomology of Noncommutative Algebras.
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Nguyen, Van Cat (2014-06). Tate Cohomology of Finite Dimensional Hopf Algebras.
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Pereira Lopez, Mariana (2007-04). On simple modules for certain pointed Hopf algebras.
-
Shakalli Tang, Jeanette (2012-07). Deformations of Quantum Symmetric Algebras Extended by Groups.
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Shroff, Piyush (2012-10). Finite Generation of Cohomology of Quotients of PBW Algebras.
Background
education and training
- Ph.D. in Mathematics, University of Chicago - (Chicago, Illinois, United States) 1994
- S.M. in Mathematics, University of Chicago - (Chicago, Illinois, United States) 1991
- B.S. in Mathematics, Arizona State University - (Tempe, Arizona, United States) 1988
Contact
first name
- Sarah
has last name
- Witherspoon
mailing address
-
Texas A&M University
Mathematics
3368 TAMU
College Station, TX 77843-3368
USA
Other
- sjw@tamu.edu