- Spectra of quantum algebras, in Proceedings of conference Recent Advances and New Directions in the Interplay of Noncommutative Algebra and Geometry arXiv
- 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
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- 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
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- 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
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- Poisson structures on affine spaces and flag varieties. II. (with M. Yakimov), Trans. Amer. Math. Soc. 361 (2009) 5753-5780. pdf or arXiv
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- 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
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- 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
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- 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
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