- Cluster algebra structures on Poisson nilpotent algebras (with M.T. Yakimov) arXiv
- Poisson catenarity in Poisson nilpotent algebras (with S. Launois), J. Algebra 611 (2022) 265-284. arXiv
- Integral quantum cluster structures (with M.T. Yakimov), Duke Math. J. 170 (2021) 1137-1200. arXiv
- Catenarity in quantum nilpotent algebras (with S. Launois), Proc. Amer. Math. Soc. Ser. B 7 (2020) 202-214. arXiv
- The Berenstein-Zelevinsky quantum cluster algebra conjecture (with M.T. Yakimov), J. European Math. Soc. 22 (2020) 2453-2509. arXiv
- Tauvel's height formula for quantum nilpotent algebras (with T.H. Lenagan and S. Launois), Communic. in Algebra 47 (2019) 4194-4209. arXiv
- Closures in varieties of representations and irreducible components (with B. Huisgen-Zimmermann), Algebra and Number Theory 12 (2018) 379-410. arXiv
- Understanding finite dimensional representations generically (with B. Huisgen-Zimmermann), in Geometric and Topological Aspects of the Representation Theory of Finite Groups (J.F. Carlson, S. Iyengar, J. Pevtsova, Eds.), Springer Proc. Math. Stat. 242, Springer (2018) Cham, pp. 131-179. arXiv
- Twist invariants of graded algebras (with M.T. Yakimov), Contemp. Math. 715 (2018) 141-170. arXiv
- Non-affine Hopf algebra domains of Gelfand-Kirillov dimension two (with J.J. Zhang), Glasgow Math. J. 59 (2017) 563-593. arXiv
- The realization problem for some wild monoids and the Atiyah problem (with P. Ara), Trans. Amer. Math. Soc. 369 (2017) 5665-5710. arXiv
- Quantum cluster algebra structures on quantum nilpotent algebras (with M.T. Yakimov), Memoirs Amer. Math. Soc. No. 1169 (2017) v+119 pp. arXiv
- From quantum Ore extensions to quantum tori via noncommutative UFDs (with M.T. Yakimov), Advances in Math. 300 (2016) 672-716. arXiv
- Tame and wild refinement monoids (with P. Ara), Semigroup Forum 91 (2015) 1-27. arXiv
- The isomorphism problem for multiparameter quantized Weyl algebras (with J.T. Hartwig), Sao Paolo J. Math. Sci. 9 (2015) 53-61 arXiv
- Unipotent and Nakayama automorphisms of quantum nilpotent algebras (with M.T. Yakimov), in Commutative Algebra and Noncommutative Algebraic Geometry (II) (D. Eisenbud, et al., eds.), MSRI Publ. 68, Cambridge (2015) Cambridge Univ. Press, pp. 181-212. arXiv
- Zariski topologies on stratified spectra of quantum algebras (with K.A. Brown), in Commutative Algebra and Noncommutative Algebraic Geometry (II) (D. Eisenbud, et al., eds.), MSRI Publ. 68, Cambridge (2015) Cambridge Univ. Press, pp. 63-91. arXiv
- Quantum cluster algebras and quantum nilpotent algebras (with M.T. Yakimov), Proc. Nat. Acad. Sci. USA 111 (2014) 9696-9703. arXiv
- Noetherian Hopf algebras, Glasgow Math. J. 55A (2013) 75-87. arXiv
- LU decomposition of totally nonnegative matrices (with T.H. Lenagan), Linear Alg. Applic. 436 (2012) 2554-2566. arXiv
- Irreducible components of module varieties: projective equations and rationality (with B. Huisgen-Zimmermann), Contemp. Math. 562 (2012) 141-167. arXiv
- Primitive ideals in quantum SL
_{3}and GL_{3}(with T.H. Lenagan), Contemp. Math. 562 (2012) 115-140. pdf or arXiv - Leavitt path algebras of separated graphs (with P. Ara), J. reine angew. Math. 669 (2012) 165-224. arXiv
- C*-algebras of separated graphs (with P. Ara), J. Func. Anal. 261 (2011) 2540-2568. arXiv
- Torus-invariant prime ideals in quantum matrices, totally nonnegative cells and symplectic leaves (with S. Launois and T.H. Lenagan), Math. Zeitschrift 269 (2011) 29-45. arXiv
- Totally nonnegative cells and matrix Poisson varieties (with S. Launois and T.H. Lenagan), Advances in Math. 226 (2011) 779-826. arXiv
- The Dixmier-Moeglin equivalence and a Gel'fand-Kirillov problem for Poisson polynomial algebras (with S. Launois), Bull. Soc. Math. France 139 (2011) 1-39. pdf or arXiv
- Noetherian Hopf algebra domains of Gelfand-Kirillov dimension two (with J.J. Zhang), J. Algebra 324 (2010) 3131-3168. arXiv
- Non-simple purely infinite rings (with G. Aranda Pino, F. Perera, and M. Siles Molina), Amer. J. Math. 132 (2010) 563-610. arXiv
- Semiclassical limits of quantized coordinate rings, in Advances in Ring Theory (D.V. Huynh and S. Lopez-Permouth, Eds.), Basel (2010) Birkhäuser, pp. 165-204. arXiv
- Semiclassical limits of quantum affine spaces (with E.S. Letzter), Proc. Edinburgh Math. Soc. 52 (2009) 387-407. pdf or arXiv
- Leavitt path algebras and direct limits, in Rings, Modules and Representations (N.V. Dung, et al., Eds.), Contemp. Math. 480 (2009) 165-187. pdf or arXiv
- Poisson structures on affine spaces and flag varieties. II. (with M. Yakimov), Trans. Amer. Math. Soc. 361 (2009) 5753-5780. pdf or arXiv
- Homological properties of quantized coordinate rings of semisimple groups (with J. J. Zhang), Proc. London Math. Soc. (3) 94 (2007) 647-671. pdf or arXiv
- A Dixmier-Moeglin equivalence for Poisson algebras with torus actions, in Algebra and Its Applications (D. V. Huynh, S. K. Jain, and S. R. Lopez-Permouth, Eds.), Contemp. Math. 419 (2006) 131-154. pdf or arXiv
- The closed-point Zariski topology for irreducible representations (with E. S. Letzter), J. Algebra and Applics. 5 (2006) 1-12. pdf or arXiv
- Commutation relations for arbitrary quantum minors, Pacific J. Math. 228 (2006) 63-102. pdf or arXiv
- Poisson structures on affine spaces and flag varieties. I. Matrix affine Poisson space (with K. A. Brown and M. Yakimov), Advances in Math. 206 (2006) 567-629. pdf or arXiv
- Semilattices of groups and inductive limits of Cuntz algebras (with E. Pardo and F. Wehrung), J. reine angew. Math. 588 (2005) 1-25. dvi or xxx archive
- The complete dimension theory of partially ordered systems with equivalence and orthogonality (with F. Wehrung), Memoirs Amer. Math. Soc. No. 831 (2005) viii+1-117. dvi or ps or xxx archive
- Simplicity of noncommutative Dedekind domains (with J.T. Stafford), Proc. Amer. Math. Soc. 133 (2005) 681-686. dvi or ps or xxx archive
- Stable rank of corner rings (with P. Ara), Proc. Amer. Math. Soc. 133 (2005) 379-386. dvi or ps or xxx archive
- Fractional skew monoid rings (with P. Ara, M.A. Gonzalez-Barroso, and E. Pardo), J. Algebra 278 (2004) 104-126. dvi or ps or xxx archive
- Quantized coinvariants at transcendental q (with T.H. Lenagan), in Hopf Algebras in Noncommutative Geometry and Physics (Brussels, 2002) (S. Caenepeel and F. Van Oystaeyen, Eds.), New York (2005) Dekker, pp. 155-165. dvi or ps or xxx archive
- Quantized coordinate rings and related noetherian algebras, in Proc. 35th. Symposium on Ring Theory and Representation Theory (Okayama, 2002) (Y. Hirano, Ed.), Okayama (2003) Univ. of Okayama, pp. 19-45. ps or xxx archive
- Winding-invariant prime ideals in quantum 3x3 matrices (with T.H. Lenagan), J. Algebra 260 (2003) 657-687. dvi or ps or xxx archive
- K
_{0}of purely infinite simple rings (with P. Ara and E. Pardo), K-Theory 26 (2002) 69-100. dvi or ps or xxx archive - Prime ideals invariant under winding automorphisms in quantum matrices (with T.H. Lenagan), Internat. J. Math. 13 (2002) 497-532. dvi or ps or xxx archive
- Quantized primitive ideal spaces as quotients of affine algebraic varieties, in Quantum Groups and Lie Theory (Durham, 1999) (A. Pressley, Ed.), London Math. Soc. Lecture Notes 290, Cambridge (2001) Cambridge Univ. Press, pp. 130-148. dvi or ps or xxx archive
- The graded version of Goldie's theorem (with J. T. Stafford), in Algebra and its Applications (Athens, OH 1999) (D.V. Huynh, S.K. Jain, and S.T. Lopez-Permouth, Eds.), Contemp. Math. 259 (2000) 237-240. dvi or ps or xxx archive
- Periodic flat modules, and flat modules for finite groups (with D.J. Benson), Pacific J. Math. 196 (2000) 45-67. dvi or ps or PJM archive
- K
_{1}of separative exchange rings and C*-algebras with real rank zero (with P. Ara, K.C. O'Meara, and R. Raphael), Pacific J. Math. 195 (2000) 261-275. dvi or ps or xxx archive or PJM archive - Quantum n-space as a quotient of classical n-space (with E.S. Letzter), Trans. Amer. Math. Soc. 352 (2000) 5855-5876. dvi or ps or xxx archive
- The first fundamental theorem of coinvariant theory for the quantum general linear group (with T. H. Lenagan and L. Rigal), Publ. Research Inst. Math. Sci. Kyoto 36 (2000) 269-296. dvi or ps or xxx archive
- Quantum determinantal ideals (with T.H. Lenagan), Duke Math. J. 103 (2000) 165-190. dvi or ps
- Prime ideals in certain quantum determinantal rings (with T.H. Lenagan), in Interactions between Ring Theory and Representations of Algebras (Murcia, 1998) (F. Van Oystaeyen and M. Saorin, Eds.), New York (2000) Dekker, pp. 239-251. dvi or ps or xxx archive
- Prime spectra of quantized coordinate rings, in Interactions between Ring Theory and Representations of Algebras (Murcia, 1998) (F. Van Oystaeyen and M. Saorin, Eds.), New York (2000) Dekker, pp. 205-237. dvi or ps or xxx archive
- The Dixmier-Moeglin equivalence in quantum coordinate rings and quantized Weyl algebras (with E.S. Letzter), Trans. Amer. Math. Soc. 352 (2000) 1381-1403. dvi or ps
- Representations of distributive semilattices in ideal lattices of various algebraic structures (with F. Wehrung) (original title: Representations of distributive semilattices by dimension groups, regular rings, C*-algebras, and complemented modular lattices), Algebra Universalis 45 (2001) 71-102. dvi or ps or xxx archive

Last Modified: September 2022