My research interests are quantum groups/algebras and their representations.
Papers on Hopf algebras:
New approaches to finite generation of cohomology rings, (with V. Nguyen and S. Witherspoon), J. Algebra 587 (2021), 390--428.
Gelfand-Kirillov dimension of cosemisimple Hopf algebras, (with A. Chirvasitu and C. Walton), Proc. Amer. Math. Soc., 147 (2019), 4665--4672.
Primitive deformations of quantum $p$-groups, (with V. Nguyen and L. Wang), Algebr. Represent. Theory 22 (2019), no.4, 837--865.
Hopf algebras of prime dimension in positive characteristic, (with S.-H. Ng), Bull. Lond. Math. Soc. 51 (2019), no. 3, 459--465.
A note on Masuoka's theorem for semisimple irreducible Hopf algebras, Arch. Math. (Basel) 113 (2019), no. 1, 11--20.
On quantum groups associated to a pair of preregular forms, (with A. Chirvasitu and C. Walton), J. Noncommut. Geom. 13 (2019), no. 1, 115--159.
On the structure and cohomology ring of connected Hopf algebras, (with K. Erdmann and O. Solberg), J. Algebra 527 (2019), 366--398.
Finite generation of some cohomology rings via twisted tensor product and Anick resolutions, (with V. Nguyen and S. Witherspoon), J. Pure Appl. Algebra 223 (2019), 316--339.
Indicators of pointed Hopf algebras of dimension $pq$ over characteristic $p$, (with S.~Chen, T.~Liu, and L.~Wang), Missouri J. Math. Sci. 30 (2018), no. 2, 176--184.
Indicators of Hopf algebras in positive characteristic, (with L. Wang), Arch. Math. (Basel) 111 (2018), no. 5, 485--491.
A note on the bijectivity of antipode of a Hopf algebra and its applications, (with J.-F. Lu, S.-Q. Oh, and X.-L. Yu), Proc. Amer. Math. Soc. 146 (2018), no. 11, 4619--4631.
Pointed $p^3$-dimensional Hopf algebras in positive characteristic, (with V. Nguyen), Algebra Colloq. 25, no. 3 (2018), pp. 399--436.
Computing indicators of Radford algebras, (with H. Hu, X. Hu, and L. Wang), Involve, a journal of mathematics 11 (2018), no. 2, 325--334.
Calabi-Yau property under monoidal Morita-Takeuchi equivalence, (with X.-L. Yu and Y. Zhang), Pacific J. Math. 290 (2017), no. 2, 481--510.
On quantum groups associated to non-noetherian regular algebras of dimension 2, (with C. Walton), Math. Z. 284 (2016), no. 1, 543--574.
Isomorphism classes of finite-dimensional connected Hopf algebras in positive characteristic, Adv. Math. 281 (2015), 594--623.
Universal enveloping algebras of Poisson Hopf algebras, (with J.-F. Lu and G. Zhuang), J. Algebra 426 (2015), 92--136.
Classification of connected Hopf algebras of dimension $p^3$ I, (with V. Nguyen and L. Wang), J. Algebra 424 (2015), 473--505.
Classification of pointed Hopf algebras of dimension $p^2$ over any algebraically closed field, (with L. Wang), Algebr. Represent. Theory 17 (2014), no. 4, 1267--1276.
Local criteria for cocommutative Hopf algebras, Comm. Algebra 42 (2014), no. 12, 5180--5191.
Connected Hopf algebras of dimension $p^2$, J. Algebra 391 (2013), 93--113.
Papers on quantum algebras/Poisson algebras:
Reflection groups and rigidity of quadratic Poisson algebras, (with J. Gaddis and P. Veerapen), Algebr. Represent. Theory 26 (2023), 329--358.
Cancellation and skew cancellation for Poisson algebras, (with J. Gaddis and D. Yee), Math. Z. 301 (2022), 3503--3523.
DG algebra structures on the quantum affine $n$-space $\mathcal O_{-1}(k^n)$, (with X.-F. Mao and M.-Y. Zhang), J. Algebra 594 (2022), 389--482.
Poisson geometry and representations of PI 4-dimensional Sklyanin algebras, (with C. Walton and M. Yakimov), Selecta Math. 27, (2021), 1--60.
Poisson Dixmier-Moeglin equivalence from a topological point of view, (with J. Luo and Q.-S. Wu), Israel J. Math., (2020), 1--37.
A note on the duality between Poisson homology and cohomology, (with J.-F. Lu and G. Zhuang), Comm. Algebra 48 (10) (2020), 4170-4175.
A note on generic Clifford algebras of binary cubic forms, (with L. Wang), Algebr. Represent. Theory 23 (4) (2020), 1797--1806.
The Zariski cancellation problem for Poisson algebras, (with J. Gaddis), J. Lond. Math. Soc. 101 (2020) no. 3, 1250--1279.
Nonsplit module extensions over the one-sided inverse of $k[x]$, (with Z.-P. Lu and L.~Wang), Involve, a journal of mathematics 12 (2019), no. 8, 1369--1377.
PBW-basis for universal enveloping algebras of differential graded Poisson algebras, (with X.-G. Hu and J.-F. Lu), Bull. Malays. Math. Sci. Soc. 42 (2019), no. 6, 3343--3377.
The Dixmier-Moeglin equivalence, Morita equivalence, and homeomorphism of spectra, (with J. Bell and D. Yee), J. Algebra 534 (2019), 228--244.
On $q$-commutative power and Laurent series rings at roots of unity, (with E. S. Letzter and L. Wang), Comm. Algebra 47 (2019), no. 5, 2149--2156.
Poisson geometry of PI three-dimensional Sklyanin algebras, (with C. Walton and M. Yakimov), Proc. Lond. Math. Soc. (3) 118 (2019), no. 6, 1471--1500.
DG Poisson adjoint action and its application, (with X.-J. Li, X.-G. Hu, J.-F. Lu), Eur. J. Pure Appl. Math. 12 (2019), no.1, 14--24.
Enveloping algebras of double Poison-Ore extensions, (with J.-F. Lu, S.-Q. Oh, and X.-L. Yu), Comm. Algebra 46 (2018), no. 11, 4891--4904.
The structures on the universal enveloping algebras of differential graded Poisson Hopf algebras, (with M. Guo, X. Hu, and J.-F. Lu), Comm. Algebra 46, no. 6 (2018), pp. 2714--2729.
Homological unimodularity and Calabi-Yau condition for Poisson algebras, (with J.-F. Lu and G. Zhuang), Lett. Math. Phys. 107 (2017), no. 9, 1715--1740.
DG Poisson algebra and its universal enveloping algebra, (with J.-F. Lu and G. Zhuang), Sci. China Math. 59 (2016), no. 5, 849--860.
Universal enveloping algebras of Poisson-Ore extensions, (with J.-F. Lu and G. Zhuang), Proc. Amer. Math. Soc. 143 (2015), no. 11, 4633--4645.
