Title

Professor

Department

Mathematics

College

College of Science

MATH 6950.732, Doctoral Dissertation, Spring 2024

MATH 5900.728, Special Problems, Spring 2024

MATH 5910.002, Special Problems, Spring 2024

MATH 6510.001, Topics in Algebra, Spring 2024

^{*}
Texas Education Code 51.974 (HB 2504) requires each institution of
higher education to make available to the public, a syllabus for
undergraduate lecture courses offered for credit by the institution.

MATH 6950.708, Doctoral Dissertation, Fall 2023

MATH 5900.703, Special Problems, Fall 2023

MATH 6950.703, Doctoral Dissertation, Spring 2023

MATH 6900.707, Special Problems, Spring 2023

MATH 6610.001, Topics in Topology and Geometry, Spring 2023 SPOT

MATH 6950.704, Doctoral Dissertation, Fall 2022

MATH 6900.002, Special Problems, Fall 2022

MATH 6950.703, Doctoral Dissertation, Spring 2022

MATH 5900.721, Special Problems, Spring 2022

MATH 6950.704, Doctoral Dissertation, Fall 2021

MATH 6950.708, Doctoral Dissertation, Fall 2021

MATH 5900.721, Special Problems, Fall 2021

MATH 6510.001, Topics in Algebra, Fall 2021 SPOT

MATH 6950.720, Doctoral Dissertation, Spring 2021

MATH 5900.708, Special Problems, Spring 2021

MATH 5900.710, Special Problems, Spring 2021

MATH 6900.703, Special Problems, Spring 2021

MATH 6620.001, Algebraic Topology, Fall 2020 SPOT

MATH 6950.721, Doctoral Dissertation, Fall 2020

MATH 5000.001, Instructional Issues for the Professional Mathematician, Fall 2020 SPOT

MATH 5000.002, Instructional Issues for the Professional Mathematician, Fall 2020 SPOT

MATH 5900.721, Special Problems, Fall 2020

MATH 6900.702, Special Problems, Fall 2020

MATH 6950.702, Doctoral Dissertation, Summer 5W1 2020

MATH 4510.001, Abstract Algebra II, Spring 2020 Syllabus

MATH 6950.720, Doctoral Dissertation, Spring 2020

MATH 5700.002, Selected Topics in Contemporary Mathematics, Spring 2020

MATH 5530.001, Selected Topics in Modern Algebra, Spring 2020

MATH 5900.704, Special Problems, Spring 2020

MATH 5900.708, Special Problems, Spring 2020

MATH 6910.702, Special Problems, Spring 2020

MATH 6950.721, Doctoral Dissertation, Fall 2019

MATH 5900.725, Special Problems, Fall 2019

MATH 6900.702, Special Problems, Fall 2019

MATH 6900.721, Special Problems, Fall 2019

MATH 6510.001, Topics in Algebra, Fall 2019 SPOT

MATH 6950.723, Doctoral Dissertation, Spring 2019

MATH 5910.702, Special Problems, Spring 2019

MATH 6900.708, Special Problems, Spring 2019

MATH 6900.709, Special Problems, Spring 2019

MATH 6950.721, Doctoral Dissertation, Fall 2018

MATH 5000.002, Instructional Issues for the Professional Mathematician, Fall 2018 SPOT

MATH 5900.721, Special Problems, Fall 2018

MATH 6900.721, Special Problems, Fall 2018

MATH 6950.723, Doctoral Dissertation, Spring 2018

MATH 5700.002, Selected Topics in Contemporary Mathematics, Spring 2018 SPOT

MATH 5900.707, Special Problems, Spring 2018

MATH 6510.001, Topics in Algebra, Spring 2018 SPOT

MATH 6950.721, Doctoral Dissertation, Fall 2017

MATH 5900.721, Special Problems, Fall 2017

MATH 5900.725, Special Problems, Fall 2017

MATH 6900.721, Special Problems, Fall 2017

MATH 6950.703, Doctoral Dissertation, Summer 5W1 2017

MATH 6520.001, Algebra Seminar, Spring 2017

MATH 6950.723, Doctoral Dissertation, Spring 2017

MATH 5530.001, Selected Topics in Modern Algebra, Spring 2017 SPOT

MATH 5900.723, Special Problems, Spring 2017

MATH 6900.723, Special Problems, Spring 2017

MATH 6510.001, Topics in Algebra, Spring 2017 SPOT

MATH 6520.001, Algebra Seminar, Fall 2016

MATH 6950.721, Doctoral Dissertation, Fall 2016

MATH 5900.721, Special Problems, Fall 2016

MATH 6950.723, Doctoral Dissertation, Spring 2016

MATH 6950.704, Doctoral Dissertation, Fall 2015

MATH 6510.001, Topics in Algebra, Fall 2015 SPOT

MATH 6520.001, Algebra Seminar, Spring 2015

MATH 2000.001, Discrete Mathematics, Spring 2015 Syllabus

MATH 6950.723, Doctoral Dissertation, Spring 2015

MATH 5910.723, Special Problems, Spring 2015

MATH 6900.723, Special Problems, Spring 2015

MATH 6520.001, Algebra Seminar, Fall 2014

MATH 2000.001, Discrete Mathematics, Fall 2014 Syllabus

MATH 6950.704, Doctoral Dissertation, Fall 2014

MATH 5000.002, Instructional Issues for the Professional Mathematician, Fall 2014

MATH 5900.721, Special Problems, Fall 2014

MATH 6900.716, Special Problems, Fall 2014

MATH 6950.701, Doctoral Dissertation, Summer 3W1 2014

MATH 2000.001, Discrete Mathematics, Spring 2014 Syllabus

MATH 6950.723, Doctoral Dissertation, Spring 2014

MATH 6900.723, Special Problems, Spring 2014

MATH 6910.723, Special Problems, Spring 2014

MATH 6520.001, Algebra Seminar, Fall 2013

MATH 2000.001, Discrete Mathematics, Fall 2013 Syllabus

MATH 2700.001, Linear Algebra and Vector Geometry, Fall 2013 Syllabus

MATH 5900.721, Special Problems, Fall 2013

MATH 6900.716, Special Problems, Fall 2013

MATH 6910.703, Special Problems, Fall 2013

MATH 6520.001, Algebra Seminar, Spring 2013

MATH 4910.702, Special Problems, Spring 2013

MATH 5900.704, Special Problems, Spring 2013

MATH 6900.713, Special Problems, Spring 2013

MATH 6510.001, Topics in Algebra, Spring 2013

MATH 6520.001, Algebra Seminar, Fall 2012

MATH 4900.704, Special Problems, Fall 2012

MATH 5900.721, Special Problems, Fall 2012

MATH 6510.001, Topics in Algebra, Fall 2012

MATH 6950.715, Doctoral Dissertation, Summer 5W1 2012

MATH 6950.710, Doctoral Dissertation, Spring 2012

MATH 4450.001, Introduction to the Theory of Matrices, Spring 2012 Syllabus

MATH 5500.001, Introduction to the Theory of Matrices, Spring 2012

MATH 5900.704, Special Problems, Spring 2012

MATH 6950.704, Doctoral Dissertation, Fall 2011

MATH 3510.002, Introduction to Abstract Algebra, Fall 2011 Syllabus

MATH 6950.710, Doctoral Dissertation, Spring 2011

MATH 3510.001, Introduction to Abstract Algebra, Spring 2011 Syllabus

MATH 5900.704, Special Problems, Spring 2011

MATH 6950.704, Doctoral Dissertation, Fall 2010

MATH 2730.002, Multivariable Calculus, Fall 2010

MATH 2730.004, Multivariable Calculus, Fall 2010

MATH 2730.500, Multivariable Calculus, Fall 2010

MATH 4450.001, Introduction to the Theory of Matrices, Spring 2010

MATH 5500.001, Introduction to the Theory of Matrices, Spring 2010

MATH 6910.769, Special Problems, Spring 2010

MATH 6900.701, Special Problems, Fall 2009

MATH 6900.773, Special Problems, Summer 5W1 2008

MATH 6900.773, Special Problems, Summer 5W2 2008

MATH 6900.769, Special Problems, Spring 2008

MATH 5000.002, Instructional Issues for the Professional Mathematician, Fall 2007

MATH 5900.710, Special Problems, Fall 2007

MATH 4450.001, Introduction to the Theory of Matrices, Spring 2007

MATH 5500.001, Introduction to the Theory of Matrices, Spring 2007

MATH 2730.004, Multivariable Calculus, Spring 2007

MATH 5900.751, Special Problems, Spring 2007

MATH 2770.001, Discrete Mathematical Structures, Fall 2006

MATH 5000.002, Instructional Issues for the Professional Mathematician, Fall 2006

MATH 1190.007, Business Calculus, Spring 2006

MATH 5950.725, Master's Thesis, Spring 2006

MATH 2770.001, Discrete Mathematical Structures, Fall 2005

MATH 2770.003, Discrete Mathematical Structures, Fall 2005

MATH 2730.002, Multivariable Calculus, Spring 2005

MATH 6510.001, Topics in Algebra, Spring 2005

MATH 1720.004, Calculus II, Fall 2004

^{*}
Texas Education Code 51.974 (HB 2504) requires each institution of
higher education to make available to the public, a syllabus for
undergraduate lecture courses offered for credit by the institution.

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.

Nation, J., Kim, H., Shepler, A. (2015). Group coding with complex isometries. IEEE Transactions on Information Theory. 61(1), 33--50.

Shepler, A. V., Witherspoon, S. (2014). A Poincare-Birkhoff-Witt theorem for quadratic algebras with group actions. Transactions of the American Mathematical Society. 366(12), 6483--6506.

Levandovskyy, V., Shepler, A. V. (2014). Quantum Drinfeld Hecke algebras. Canadian Journal of Mathematics. 66, 874--901.

Shepler, A. V., Witherspoon, S. (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.

Shepler, A. V., Witherspoon, S. (2011). Finite groups acting linearly: Hochschild Cohomology and the Cup Product. Advances in Mathematics. 226(4), 2884--2910.

Shepler, A. V., Witherspoon, S. (2011). Quantum differentiation and chain maps of bimodule complexes. Algebra & Number Theory. 5(3), 339--360.

Shepler, A. V., Witherspoon, S. (2008). Hochschild cohomology and Graded Hecke algebras. Transactions of the American Mathematical Society. 360(8), 3975--4005.

Hartmann, J., Shepler, A. V. (2008). Jacobians of reﬂection groups. Transactions of the American Mathematical Society. 360(1), 123--133.

Hartmann, J., Shepler, A. V. (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.

Ram, A., Shepler, A. V. (2003). Classiﬁcation of graded Hecke algebras for complex reﬂection groups. Commentarii Mathematici Helvetici. 78(2), 308--334.

Orlik, P., Reiner, V., Shepler, A. V. (2002). The sign representation for Shephard groups. Mathematische Annalen. 322, 477--492.

Shepler, A. V., Terao, H. (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.

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).

Beneish, L. (Principal), Richter, O. K. (Co-Principal), Shepler, A. V. (Co-Principal), "Texas-Oklahoma Representations and Automorphic Forms, Award #2347096," Sponsored by National Science Foundation, Federal, $20000 Funded. (2023 – Present).

Shepler, A. V. (Principal), "Twisted tensor products," Sponsored by Simons Foundation, National, $42000 Funded. (September 1, 2022 – August 31, 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. (January 1, 2024 – December 31, 2026).

Conley, C. H. (Principal), Shepler, A. V. (Co-Principal), "Southwest Local Algebra Meeting 2023, DMS 1855261," Sponsored by National Science Foundation, Federal, $16000 Funded. (January 2022 – December 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), "Deformations," Sponsored by Simons Foundation, Federal, Funded. (2016 – 2021).

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), "Research Grant (Cohomology and Deformations of Algebras)," 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), "Research Grant (Cohomology, Deformations, and Invariants)," 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), "Research Grant (Combinatorics and Geometry in Representation Theory)," Sponsored by National Science Foundation, Federal, $105000 Funded. (2004 – 2008).

Shepler, A. V. (Principal), "Research Grant: Young Investigators Grant," Sponsored by National Security Agency, Federal, $26000 Funded. (2002 – 2004).

Overall Summative Rating |
Challenge and Engagement Index |
Response Rate |
---|---|---|

out of 5 |
out of 7 |
% of students responded |

**Overall Summative Rating (median):**

This rating represents the combined responses of students to the four global summative items and is presented to provide an overall index of the class’s quality. Overall summative statements include the following (response options include a Likert scale ranging from 5 = Excellent, 3 = Good, and 1= Very poor):- The course as a whole was
- The course content was
- The instructor’s contribution to the course was
- The instructor’s effectiveness in teaching the subject matter was

**Challenge and Engagement Index:**

This rating combines student responses to several SPOT items relating to how academically challenging students found the course to be and how engaged they were. Challenge and Engagement Index items include the following (response options include a Likert scale ranging from 7 = Much higher, 4 = Average, and 1 = Much lower):- Do you expect your grade in this course to be
- The intellectual challenge presented was
- The amount of effort you put into this course was
- The amount of effort to succeed in this course was
- Your involvement in course (doing assignments, attending classes, etc.) was