Vu The Khoi

Associate Professor, Doctor Department of Geometry and Topology Research interests: Chern-Simons invariants, Character varieties of fundamental groups

Address
Office: Building A5, Room 103
Tel: +84 (0)4 37563474/103
Email: vtkhoi AT math.ac.vn
Personal homepage: https://vie.math.ac.vn/~vtkhoi/

Education and academic degrees

• 1994: Hanoi University
• 2002: Brandeis University, US
• 2012: Associate Professor

Positions

• Head of Geometry and Topology Department

Research areas: Geometric Topology 

 

PUBLICATIONS

List of publications in MathSciNet

 

List of recent publications

1	Lê Công Trình, Vu The Khoi, Ho Minh Toan, Đinh Trung Hòa, Optimization of some types of R´enyi divergences between unitary orbits, Linear and Multilinear Algebra Volume 73, 2025 - Issue 3, Pages 536-546, (SCI-E, Scopus).
2	Ha Thanh Huong, Vu The Khoi, Separability probability of two-qubit states, Journal of Physics A: Mathematical and Theoretical, Volume 57, Number 2024, 445304, (SCI-E, Scopus).
3	Ho Minh Toan, Vu The Khoi, Metrics induced by certain Hilbert-Schmidt fidelities on positive semi-definite matrices, Infinite Dimensional Analysis, Quantum Probability and Related Topics, 22 (2023) 790-799, (SCI-E, Scopus).
4	Vu The Khoi, Ho Minh Toan, Le Cong Trinh, Dinh Trung Hoa, Optimization of quantum divergences between unitary orbits, Quantum Information Processing, 22 (2023), 18 pages, (SCI-E, Scopus).
5	Vu The Khoi, Ho Minh Toan, Metric properties of alternative fidelities, Quantum Information and Computation 22, No. 9&10 (2022) 790 - 799, (SCI-E, Scopus).
6	Vu The Khoi, Ho Minh Toan, On the surjectivity of certain word maps on SU(2), Journal of Algebra and Its Applications 21 (2022), 2250037, (SCI-E, Scopus).
7	Vu The Khoi, Masakazu Teragaito, Anh T. Tran, Left orderable surgeries of double twist knots II, Canadian Mathematical Bulletin, 64 (2021), 624–637, SCI-E, Scopus.
8	Vu The Khoi, The Isomorphism Problem for a Family of One-Relator Groups, Acta Mathematica Vietnamica 45 (2020), 879-902, Scopus.
9	Do Viet Hung, Vu The Khoi, Twisted Alexander ideals and the isomorphism problem for a family of parafree groups, Proceedings of the Edinburgh Mathematical Society 63 (2020), 780-806. (SCI-E).
10	Vu The Khoi, On the probability distribution of the product Of powers of elements in compact lie groups, Bulletin of the Australian Mathematical Society, 100 (2019), 440–445, SCI(-E), Scopus.
11	Do Viet Hung, Vu The Khoi, Applications of the Alexander ideals to the isomorphism problem for families of groups. Proceedings of the Edinburgh Mathematical Society, 60(2017), 177-185,SCI(-E); Scopus.
12	Vu The Khoi, The Dijkgraaf–Witten invariants of circle bundles, Vietnam Journal of Mathematics, 42 (2014), 393-399, Scopus.
13	Vu The Khoi, Seifert volumes and dilogarithm identities, Journal of Knot Theory and Its Ramifications Vol. 23, (2014) 1450025 (11 pages), SCI(-E), Scopus.
14	Vu The Khoi, On the Burns-Epstein invariants of spherical CR 3-manifolds, Annales de l'Institut Fourier 61 (2011), 775 - 797, preprint arXiv:0812.0045, SCI(-E); Scopus.
15	Vu The Khoi, On Turaev’s theorem about Dijkgraaf–Witten invariants of surfaces, Journal of Knot Theory and Its Ramifications 20 (2011), 837 - 846, SCI(-E); Scopus.
16	Vu The Khoi, On the integral of $\log x\frac{{dy}}{y}\, - \,\log y\frac{{dx}}{x}$ $A$ over the $A$- polynomial curves, Acta Math. Vietnamica, 33 (2008), 519-528.
17	Vu The Khoi, On the $\rm SU(2,1)$ representation space of the Brieskorn homology spheres, J. Math. Sci. Univ. Tokyo 14 (2007),  499 - 510.
18	Vu The Khoi, On the symplectic volume of the moduli space of spherical and Euclidean polygons, Kodai Math. J. 28 (2005), 199 - 208, preprint arXiv:math/0507281.
19	Vu The Khoi, On the symplectic volume of the moduli space of polygons, Vietnam J. Math. 33 (2005), Special Issue, 109 - 111.
20	Vu The Khoi, A cut-and-paste method for computing the Seifert volumes, Math. Ann. 326 (2003), 759 - 801.
21	Nguyen Tu Cuong, Vu The Khoi, Modules whose local cohomology modules have Cohen-Macaulay Matlis duals. In: Proceedings of Hanoi Conf. on Commutative Algebra Algebra Geometry and Computational Methods, Editor by D. Eisenbud, Springer Verlag, 1999, 223 - 232.
22	Nguyen Tu Cuong, Vu The Khoi, A lower bound for index of reducibility of parameter ideals in local rings. Vietnam J. Math. 25 (1997), 341 - 347.
23	Nguyen Tu Cuong, Vu The Khoi, On the partial Euler-Poincare characteristic of certain systems of parameters in local rings. Math. Z. 222 (1996), 383 - 390.

Preprints

1	IMH20250503, Ho Minh Toan, Tran Manh Cuong, Vu The Khoi, Some remarks on quantum speed limit for n - dimensional systems.
2	IMH20181103, Do Viet Hung, Vu The Khoi, Twisted Alexander Ideals and the Isomorphism Problem for a Family of Parafree Groups
3	IMH20181102, Vu The Khoi, On the Probability Distribution of the Product of Powers of Elements in Compact Lie Groups
4	IMH20160301, Do Viet Hung, Vu The Khoi, Applications of the Alexander ideals to the isomorphism problem for families of groups