Below are my completed projects with arxiv links. Also consider checking out the following pages:
- Reflection groups and rigidity of quadratic Poisson algebras. Joint with Padmini Veerapen and Xingting Wang.
- Simple ℤ-graded domains of Gelfand-Kirillov dimension two. Joint with Luigi Ferraro and Robert Won.
- Quivers supporting twisted Calabi-Yau algebras. Joint with Dan Rogalski. (Code)
- Isomorphisms of graded path algebras.
- Prime and semiprime quantum linear space smash products.
To appear in the Glasgow Mathematical Journal.
- Fixed rings of quantum generalized Weyl algebras.
Joint with Phuong Ho.
To appear in Communications in Algebra.
- The Zariski cancellation problem for Poisson algebras. Joint with Xingting Wang.
Journal of the London Mathematical Society, 2020, 101 (3), 1250-1279.
- Actions of quantum linear spaces on quantum algebras.
Joint with Zachary Cline.
Journal of Algebra, 2020, 556, 246-286.
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Fixed rings of generalized Weyl algebras.
Joint with Robert Won.
Journal of Algebra, 2019, 536, 149-169.
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Discriminants of Taft algebra smash products and applications.
Joint with Robert Won and
Daniel Yee.
Algebras and Representation Theory, 2019, 22 (4), 785-799.
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Congenial algebras: Extensions and examples.
Joint with Daniel Yee.
Communications in Algebra, 2019, 47 (10), 4347-4357.
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Auslander's Theorem for permutation actions on noncommutative algebras.
Joint with
Ellen Kirkman,
Frank Moore, and
Robert Won.
Proceedings of the American Mathematical Society, 2019, 147 (5), 1881-1896.
- The isomorphism problem for quantum affine spaces,
homogenized quantized Weyl algebras, and quantum matrix algebras.
Journal of Pure and Applied Algebra, 2017, 221 (10), 2511-2524.
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On the discriminant of twisted tensor products.
Joint with
Ellen Kirkman and
Frank Moore.
Journal of Algebra, 2017, 477, 29-55.
- Some algebras similar to
the 2x2 Jordanian matrix algebra.
Joint with Ken Price.
Communications in Algebra, 2017, 45 (5), 2091-2104.
- Two-parameter analogs of the Heisenberg enveloping algebra.
Communications in Algebra, 2016, 44 (11), 4637-4653.
- PBW deformations of Artin-Schelter regular algebras.
Journal of Algebra and Its Applications, 2016, 15 (4).
- Two-generated algebras and standard-form congruence.
Communications in Algebra, 2015, 43 (4), 1668-1686.
- Isomorphisms of some quantum spaces.
Ring Theory and Its Applications, Contemp. Math., 2014, 609, 107-116.
- Dissertation: PBW deformations of Artin-Schelter regular algebras and their homogenizations