(1) The ring of equivariant vector bundles on finite sets,
*
J. Algebra
* ** 175 ** (1995), 274-286.

(2) The representation ring of the quantum double of a finite group,
*
J. Algebra
* ** 179 ** (1996), 305-329.

Based on my PhD thesis, which includes more details.

(3) The representation ring of the twisted quantum double of a finite group,
*
Canad. J. Math.
* ** 48 ** (1996), 1324-1338.

(4) Irreducible representations of crossed products (with Susan Montgomery),
*
J. Pure Appl. Algebra
*
** 129 ** (1998), 315-326.

(5) The Hochschild cohomology ring of a group algebra (with Stephen F. Siegel),
* Proc. London Math. Soc.
*
** 79 ** (1999), 131-157.

(6) The representation ring and the centre of a Hopf algebra,
* Canad. J. Math.
*
** 51 ** (1999), 881-896.

(7) Clifford correspondence for finite-dimensional Hopf algebras,
* J. Algebra
*
** 218 ** (1999), 608-620.

(8) A module-theoretic approach to Clifford theory for blocks,
* Proc. Amer. Math. Soc. *
** 128 ** (2000), 661-670.

(9) The Hochschild cohomology ring of a cyclic block
(with Stephen F. Siegel),
*
Proc. Amer. Math. Soc. * ** 128 ** (2000), 1263-1268.

(10) A Hopf structure for down-up algebras (with Georgia Benkart),
* Math. Z. * ** 238 ** (2001), 523-553.

(11)
Clifford correspondence for algebras, * J. Algebra * **
256 ** (2002), 518-530.

(12)
Hochschild cohomology and Linckelmann cohomology for blocks
of finite groups (with Jonathan Pakianathan),
* J. Pure Appl. Algebra * ** 178 ** (2003), 87-100.

(13)
Algebraic deformations arising from orbifolds with discrete torsion
(with A. Caldararu and A. Giaquinto),
* J. Pure Appl. Algebra * ** 187 ** (2004), no. 1-3, 51-70.

(14)
Representations of two-parameter quantum groups and Schur-Weyl duality
(with G. Benkart),
* Hopf algebras*, 65-92,
* Lecture Notes in Pure and Appl. Math., *
** 237**, Dekker, New York, 2004.

(15)
Restricted two-parameter quantum groups
(with G. Benkart), * Representations of finite dimensional
algebras and related topics in Lie theory and geometry*, 293-318,
* Fields Inst. Commun.* ** 40 **,
Amer. Math. Soc., Providence, RI, 2004.

(16)
Products in Hochschild cohomology and Grothendieck rings of group
crossed products, * Adv. Math. * ** 185 **
(2004), no. 1, 136-158.

(17)
Two-parameter quantum groups and Drinfel'd doubles
(with G. Benkart), *Algebras and Representation Theory*
** 7 ** (2004), 261-286.

(18)
Quillen stratification for Hochschild cohomology of blocks
(with J. Pakianathan and an appendix by S. F. Siegel),
*Trans. Amer. Math. Soc.*
** 358 ** (2006), no. 7, 2897-2916.

(19)
Skew derivations and deformations of a family of group crossed products,
*Comm. Algebra* ** 34** (2006), no. 11, 4187-4206.

(20)
Quantum group actions, twisting elements, and deformations of algebras
(with G. Benkart), *J. Pure Appl. Algebra* **208**
(2007), 371-389.

(21)
Twisted graded Hecke algebras, *J. Algebra* ** 317**
(2007), 30-42.

(22)
Hochschild cohomology of smash products and rank one Hopf algebras
(with Sebastian Burciu),
*Biblioteca de la Revista Matematica Iberoamericana Actas del
"XVI Coloquio Latinoamericano de Algebra," (Colonia, Uruguay, 2005) *,
2007, 153-170.

(23)
Braid group representations from twisted quantum doubles of finite groups
(with P. Etingof and E. Rowell),
*Pacific J. Math.* ** 234** (2008), no. 1, 33-41.

(24)
Hochschild cohomology and graded Hecke algebras
(with Anne V. Shepler), *Trans. Amer. Math. Soc. *
** 360 ** (2008), no. 8, 3975-4005.

(25)
Bialgebra cohomology, pointed Hopf algebras, and deformations
(with Mitja Mastnak), *J. Pure Appl. Algebra *
** 213 ** (2009), 1399-1417.

(26)
Hopf quivers and Nichols algebras in positive characteristic
(with Claude Cibils and Aaron Lauve), * Proc. Amer. Math. Soc.*
** 137 ** (2009), no. 12, 4029-4041.

(27)
Fusion subcategories of representation categories of twisted
quantum doubles of finite groups (with Deepak Naidu and
Dmitri Nikshych), *Int. Math. Res. Not. * (2009), no. 22, 4183-4219.

(28)
Varieties for modules of quantum elementary abelian groups
(with Julia Pevtsova), * Algebras and Rep. Th. *
** 12 ** (2009), no. 6, 567-595.

(29)
Cohomology of finite dimensional pointed Hopf algebras
(with Mitja Mastnak, Julia Pevtsova, and Peter Schauenburg), * Proc.
Lond. Math. Soc. * (3) ** 100 ** (2010), no. 2, 377-404.

(30)
Support varieties and representation type of small quantum groups
(with Joerg Feldvoss), * Int. Math. Res. Not. * (2010), no. 7, 1346-1362.
Erratum,
*Int. Math. Res. Not.* (2015), no. 1, 288-290.

(31)
Yetter-Drinfeld modules under cocycle twists
(with Georgia Benkart and Mariana Pereira),
* J. Algebra * ** 324 ** (2010), no. 11, 2990-3006.

(32)
Hochschild cohomology of group extensions of quantum symmetric algebras
(with Deepak Naidu and Piyush Shroff),
* Proc. Amer. Math. Soc. * ** 139 ** (2011), 1553-1567.

(33)
Finite groups acting linearly: Hochschild cohomology and the cup product
(with Anne V. Shepler),
*Adv. Math. * ** 226 ** (2011), no. 4, 2884-2910.

(34)
Quantum differentiation and chain maps of bimodule complexes
(with Anne V. Shepler),
*Algebra and Number Theory* **
5-3 ** (2011), 339-360.

(35)
Support varieties and representation type of self-injective algebras
(with Joerg Feldvoss),
*Homology, Homotopy and Applications*
**13** (2011), no. 2, 197-215.

(36)
Group actions on algebras and the graded Lie structure of
Hochschild cohomology
(with Anne V. Shepler),
*J. Algebra*
**351** (2012), 350-381.

(37)
Drinfeld orbifold algebras
(with Anne V. Shepler),
*Pacific J. Math.*
**259-1** (2012), 161-193.

(38)
Examples of support varieties for Hopf algebras with noncommutative tensor products
(with Dave Benson),
*Archiv der Mathematik*
**102** (2014), no. 6, 513-520.

(39)
A Poincare-Birkhoff-Witt Theorem for quadratic algebras with group actions
(with Anne V. Shepler),
*Trans. Amer. Math. Soc.*
**366** (2014), no. 12, 6483-6506.

(40)
Finite generation of the cohomology of some skew group algebras
(with Van C. Nguyen),
*Algebra and Number Theory*
**8** (2014), no. 7, 1647-1657.
(The version here includes some corrections to a proof in Section 5
that are also written up separately in this
erratum.)

(41)
Poincare-Birkhoff-Witt deformations of smash product algebras from
Hopf actions on Koszul algebras
(with Chelsea Walton),
*Algebra and Number Theory* **8** (2014), no. 7, 1701-1731.

(42)
PBW deformations of skew group algebras in positive characteristic
(with Anne V. Shepler), *Algebras and Representation
Theory* **18** (2015), no. 1, 257-280.

(43)
Tensor ideals and varieties for modules of quantum elementary abelian groups
(with Julia Pevtsova), *Proceedings of the American
Mathematical Society* **143** (2015), no. 9, 3727-3741.

(44)
Poincare-Birkhoff-Witt Theorems
(with Anne Shepler), in Mathematical Sciences Research Institute
Proceedings
*Commutative Algebra and Noncommutative
Algebraic Geometry*, Vol. 1, ed. D. Eisenbud, S.B. Iyengar,
A.K. Singh, J.T. Stafford, and M. Van den Bergh, Cambridge Univ. Press, 2015.

(45)
An alternate approach to the Lie bracket on Hochschild cohomology
(with Cris Negron), *Homology, Homotopy and Applications* 18 (1) (2016),
265-285.

(46)
PBW deformations of quantum symmetric algebras and their group extensions
(with Piyush Shroff), *J. Algebra and Its Applications*
15 (2016), no. 3, 15 pp.

(47)
Hopf automorphisms and twisted extensions
(with Susan Montgomery and Maria D. Vega),
*J. Algebra and Its Applications* 15 (2016), no. 6, 14 pp.

(48)
Gerstenhaber brackets on Hochschild cohomology of quantum symmetric algebras
and their group extensions
(with Guodong Zhou), *Pacific J. Math* 283 (2016), no. 1, 223-255.

(49)
Hochschild cohomology and quantum Drinfeld Hecke algebras
(with Deepak Naidu),
*Selecta Mathematica* 22 (2016), no. 3, 1537-1561.

(50)
Gerstenhaber brackets on Hochschild cohomology of twisted tensor products
(with Lauren Grimley and Van C. Nguyen),
*J. Noncommutative Geometry* 11 (2017), no. 4, 1351-1379.

(51)
The Gerstenhaber bracket as a Schouten bracket for polynomial rings extended by finite groups
(with Cris Negron), *Proc. London Math. Soc.* (3) 115 (2017), no. 6,
1149-1169.

A longer version with an appendix containing some computational details is
here.

(52)
Tensor products and support varieties for some noncocommutative Hopf algebras
(with Julia Plavnik),
*Algebras and Representation Theory* 21 (2018), no. 2, 259-276.

(53)
PBW deformations of braided products
(with Chelsea Walton), *J. Algebra* 504 (2018), 536-567.

(54)
Deforming group actions on Koszul algebras
(with Anne Shepler), *Mathematical Research Letters*
25 (2018), no. 5, 1613-1644.

(55)
Varieties for modules of finite dimensional Hopf algebras,
* Geometric and Topological Aspects of the Representation
Theory of Finite Groups*,
Proceedings of the Pacific Institute for the Mathematics Sciences
Summer School and Workshop, July 27-August 5, 2016,
Springer 2018, 481-495.

(56)
Finite generation of some cohomology rings via twisted tensor product
and Anick resolutions (with Van C. Nguyen and Xingting Wang),
*J. Pure Appl Algebra* 223 (2019), no. 1, 316-339.

A longer version with details of calculations is
here.

(57)
Color Lie rings and PBW deformations of skew group algebras
(with S. Fryer, T. Kanstrup, E. Kirkman, and A.V. Shepler),
*Journal of Algebra* 518 (2019), 211-236.

(58)
Resolutions for twisted tensor products
(with Anne Shepler), *Pacific J. Math* 298 (2019), no. 2, 445-469.

A_{∞}-coderivations and the Gerstenhaber bracket on Hochschild cohomology
(with C. Negron and Y. Volkov), to appear in *J. Noncommutative Geometry*.

Group-twisted Alexander-Whitney and Eilenberg-Zilber maps
(A.V. Shepler), to appear in *Algebras and Representation Theory*.

Gerstenhaber brackets for skew group algebras in positive characteristic (A.V. Shepler), submitted.

Support varieties for finite tensor categories: Complexity, realization, and connectedness (with P. A. Bergh and J. Y. Plavnik), submitted.

Gerstenhaber brackets on Hochschild cohomology of general twisted tensor products (with T. Karadag, D. McPhate, P. Ocal, and T. Oke), submitted.

New approaches to finite generation of cohomology rings (with V. C. Nguyen and X. Wang), submitted.