My research interest is in Algebraic deformation theory, Homological algebra, Category theory, Operad theory, Commutative rings.
Talks:
Operadic structure on Genstenhaber-Schack complex, The 12th HCMC University of Science Congress of Mathematics, 18-19 December 2020, Ho Chi Minh, Vietnam.
On deformation complex of presheaves and prestacks, The 11th HCMC University of Science Congress of
Mathematics, 21-22 December 2018, Ho Chi Minh, Vietnam.
Deformations of prestacks and the Gerstenhaber-Schack complex, Seminar Lille, April 2016.
Gerstenhaber-Schack complex for prestacks, Seminar Antwerp, November 2015.
On Exceptional Vertex Operator (Super) Algebras, Seminar NUI Galway, April 2012.
Dixmier’s conjecture on the Weyl algebra A_1(C) in some special cases, Math. Dept. Science University, HoChiMinh city, May 2009.
Depth and dimension of Regular commutative Rings, Math. Dept. Science University, HoChiMinh city, April 2008.
Conferences(attended):
Non-commutative, derived and homotopical methods in geometry, University of Antwerp, September 2016
Noncommutative Geometry and Higher structures, 31th August- 4th September 2015, University of Rome, Italy.
Deformation theory, Homological Mirror symmetry and Noncommutative Geometry, 18th-22th May, 2015, University of Copehagen, Denmark.
DG-enhancements and higher category methods, 8-12 Dec 2014, Warwick University, UK.
Summer School on Derived Category, 23th-27th June 2014, University of Nantes, France.
Conformal Field Theory, Automorphic Forms and Related Topics, Heidelberg University, Germany, Sept 19-23, 2011.
The 4th De Brun Workshop: Group Actions, National University of Ireland, Galway, Ireland, 6-12 December 2010.
Publications and preprints:
The operad Quilt in higher dimensions. (in preparation)
On deformations of diagrams over bipartite graphs. (in preparation)
On first order deformation of monoidal categories. (preprint)
(with Thieu Vo N. and P.T. Toan) Noether's normalization for a noncommutative case, (2025) (to be submitted)
(with N.V.M. Man and N.H. Anh) A note of testing conjectures on Weyl algebra. (2024) (submitted)
(with P.T. Toan and P.M. Tri) Integral dependence on rings of power series over infinite sets of indeterminates. (2024) (submitted)
(with L. Hermans and W. Lowen) FcOperad and Higher Gerstenhaber braces. (2023) (submitted))
(with L. Hermans and W. Lowen) Operadic structure on the Gerstenhaber-Schack complex for prestacks. Selecta Mathematica- new series 28 vol 3(2022).
(with W. Lowen) The Gerstenhaber-Schack complex for prestacks. Advances in Mathematics 330 (2018) (arxiv.org/abs/1508.03792 )
(with L. Liu and W. Lowen) Non-commutative deformations and quasi-coherent modules. Selecta Mathematica (2016) pp1-59.(https://arxiv.org/abs/1411.0331)
(with M. Tuite) On Exceptional Vertex Operator (Super) Algebras. Developments and Retrospectives in Lie Theory Volume 38 of the series Developments in Mathematics pp 351-384.