Anne V. Shepler

Previous Scheduled Teaching

Published Intellectual Contributions

Journal Article

• Hanson, D.J., Shepler, A.V. (2024). Invariant differential derivations for reflection groups in positive characteristic. Advances in Applied Mathematics. 156 43.
• Lawson, C.M., Shepler, A.V. (2024). Deformation cohomology for cyclic groups acting on polynomial rings. Journal of Pure and Applied Algebra. 228 (7) 22.
• Shepler, A.V., Witherspoon, S. (2022). Gerstenhaber brackets for skew group algebras in positive characteristic. Transformation Groups. 27 295–309.
• Krawzik, N., Shepler, A. (2022). Drinfeld Hecke algebras for symmetric groups in positive characteristic. Communications in Algebra. 50 (5) 1925--1941.
• Reiner, V., Shepler, A.V., Sommer, E. (2021). Invariant theory for coincidental complex reflection groups. Mathematische Zeitschrift. 298 (1-2) 787--820.
• Shepler, A.V., Witherspoon, S. (2021). Group-twisted Alexander-Whitney and Eilenberg-Zilber maps. Algebras and Representation Theory. 24 357--366.
• Shepler, A.V., Drescher, C. (2020). Invariants of polynomials mod Frobenius powers. Journal of Algebra. 556 908--935.
• Reiner, V., Shepler, A. (2019). Invariant derivations and differential forms for reflection groups. Proceedings of the London Mathematical Society. 119 (2) 329--357.
• Shepler, A.V., Witherspoon, S. (2019). Resolutions for twisted tensor products. Pacific Journal of Mathematics. 298 (2) 445--469.
• Puente, P., Shepler, A. (2019). Steinberg's theorem for crystallographic complex reflection groups. Journal of Algebra. 522 332--350.
• Fryer, S., Kanstrup, T., Kirkman, E., Shepler, A., Witherspoon, S. (2019). Color Lie rings and PBW deformations of skew group algebras. Journal of Algebra. 518 211--236.
• Shepler, A.V., Witherspoon, S. (2018). Deforming group actions on Koszul algebras. Mathematical Research Letters. 25 (5) 1613-1644.
• joint with Hye Jung Kim and J.B. Nation. (2015). Group coding with complex isometries. IEEE Transactions on Information Theory. 61 (1) 33--50.
• joint with Sarah Witherspoon. (2014). A Poincare-Birkhoff-Witt theorem for quadratic algebras with group actions. Transactions of the American Mathematical Society. 366 (12) 6483--6506.
• joint with Viktor Levandovskyy. (2014). Quantum Drinfeld Hecke algebras. Canadian Journal of Mathematics. 66 874--901.
• joint with Sarah Witherspoon. (2012). Drinfeld orbifold algebras. Pacific Journal of Mathematics. 259 (1) 161--193.
• Shepler, A.V., Witherspoon, S. (2012). Group actions on algebras and the graded Lie structure of Hochschild cohomology. Journal of Algebra. 351 350--381.
• joint with Sarah Witherspoon. (2011). Finite groups acting linearly: Hochschild Cohomology and the Cup Product. Advances in Mathematics. 226 (4) 2884--2910.
• joint with Sarah Witherspoon. (2011). Quantum differentiation and chain maps of bimodule complexes. Algebra & Number Theory. 5 (3) 339--360.
• joint with S. Witherspoon. (2008). Hochschild cohomology and Graded Hecke algebras. Transactions of the American Mathematical Society. 360 (8) 3975--4005.
• joint with J. Hartmann. (2008). Jacobians of reflection groups. Transactions of the American Mathematical Society. 360 (1) 123--133.
• joint with J. Hartmann. (2007). Reflection groups and differential forms. Mathematical Research Letters. 14 (6) 955--971.
• Shepler, A.V. (2005). Generalized exponents and forms. Journal of Algebraic combinatorics. 22 (1) 115--132.
• joint with A. Ram. (2003). Classification of graded Hecke algebras for complex reflection groups. Commentarii Mathematici Helvetici. 78 (2) 308--334.
• joint with P. Orlik and V. Reiner. (2002). The sign representation for Shephard groups. Mathematische Annalen. 322 477--492.
• joint with H. Terao. (2000). Logarithmic forms and anti-invariant forms of reflection groups. Advanced Studies in Pure Mathematics. Arrangements, Tokyo, 2000. 27 Tokyo-Amsterdam, Kinokuniya and North-Holland.
• Shepler, A.V. (1999). Semi-invariants of finite reflection groups. Journal of Algebra. 220 (1) 314--326.

Contracts, Grants and Sponsored Research

Fellowship

• Shepler, A.V. (Principal), "Humbolt Research Fellowship," sponsored by Alexander von Humboldt Foundation, Germany, Private, Funded. (2009 - 2010).
• Shepler, A.V. (Principal), "Mathematical Sciences Postdoctoral Research Fellowship," sponsored by National Science Foundation, Federal, $90000 Funded. (1999 - 2002).

Grant - Research

• Shepler, A.V. (Principal), "Simons Research Grant Award 949953," sponsored by Simons Foundation, National, $42000 Funded. (2022 - 2027).
• Beneish, L. (Principal), Richter, O.K. (Co-Principal), Shepler, A.V. (Co-Principal), "TORA Conference Grant NSF (DMS-2347096)," sponsored by National Science Foundation, Federal, $20000 Funded. (2024 - 2026).
• Conley, C.H. (Principal), Shepler, A.V. (Co-Principal), "Southwest Local Algebra Meeting 2023, DMS 2302498," sponsored by National Science Foundation, Federal, $16000 Funded. (2023 - 2023).
• Richter, O.K. (Principal), Drescher, C.C. (Co-Principal), Shepler, A.V. (Co-Principal), "NSF grant DMS 1855261," sponsored by National Science Foundation, Federal, $16000 Funded. (2019 - 2022).
• Shepler, A.V. (Principal), "Simons Research Grant Award 429539," sponsored by Simons Foundation, Federal, $35000 Funded. (2016 - 2022).
• Richter, O.K. (Principal), Drellich, E. (Co-Principal), Shepler, A.V. (Co-Principal), "NSF grant DMS 1600642," sponsored by National Science Foundation, Federal, $13000 Funded. (2016 - 2019).
• Shepler, A.V. (Principal), "NSF research grant DMS-1101177," sponsored by National Sciece Foundation, Federal, $132187 Funded. (2011 - 2015).
• Richter, O.K. (Principal), Conley, C.H. (Co-Principal), Shepler, A.V. (Co-Principal), "NSF grant DMS 1302770," sponsored by National Science Foundation, Federal, $12000 Funded. (2013 - 2014).
• Richter, O.K. (Principal), Conley, C.H. (Co-Principal), Shepler, A.V. (Co-Principal), "NSF grant DMS 1132586," sponsored by National Science Foundation, Federal, $8000 Funded. (2011 - 2012).
• Shepler, A.V. (Principal), "NSF Research Grant DMS-0800951," sponsored by National Science Foundation, Federal, $153000 Funded. (2008 - 2012).
• Shepler, A.V. (Principal), "Advanced Research Program Grant," sponsored by Texas Higher Education Coordinating Board, State, $43469 Funded. (2008 - 2010).
• Shepler, A.V. (Principal), "NSF Research Grant DMS-0402819," sponsored by National Science Foundation, Federal, $105000 Funded. (2004 - 2008).
• Shepler, A.V. (Principal), "NSA Research Grant: Young Investigators," sponsored by National Security Agency, Federal, $26000 Funded. (2002 - 2004).
• Richter, O. (Principal), Drescher, C.C. (Co-Principal), Shepler, A. (Co-Principal), "NSF grant DMS 1855261," sponsored by National Science Foundation, Federal, Funded. (2019 - 2022).
• Shepler, A.V. (Principal), Schmidt, R. (Principal), "Deformations," sponsored by Simons Foundation, FOND, Funded. (2016 - 2022).
• Shepler, A.V. (Co-Principal), Richter, O.K. (Principal), "Collaborative Research: Texas-Oklahoma Representations and Automorphic Forms Conference Series," sponsored by National Science Foundation, FED, Funded. (2019 - 2022).
• Richter, O. (Principal), Drellich, E. (Co-Principal), Shepler, A. (Co-Principal), "NSF grant DMS 1600642," sponsored by National Science Foundation, Federal, Funded. (2016 - 2019).
• Shepler, A. (Principal), "Research Grant (Cohomology and Deformations of Algebras)," sponsored by National Sciece Foundation, Federal, Funded. (2011 - 2015).
• Shepler, A. (Principal), "Research Grant (Cohomology, Deformations, and Invariants)," sponsored by National Science Foundation, Federal, Funded. (2008 - 2012).
• Shepler, A. (Principal), "Research Grant (Combinatorics and Geometry in Representation Theory)," sponsored by National Science Foundation, Federal, Funded. (2004 - 2008).

Grant - Service

• Shepler, A.V. (Co-Principal), Richter, O.K. (Principal), ""Texas-Oklahoma Representations and Automorphic Forms Conference Series"," sponsored by National Science Foundation, FED, Funded. (2016 - 2019).