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
1Ho 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).
2Vu 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).
3Vu The Khoi, Ho Minh Toan, Metric properties of alternative fidelities, Quantum Information and Computation 22, No. 9&10 (2022) 790 - 799, (SCI-E, Scopus).
4Vu 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).
5Vu 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.
6Vu The Khoi, The Isomorphism Problem for a Family of One-Relator Groups, Acta Mathematica Vietnamica 45 (2020), 879-902, Scopus.
7Do 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).
8Vu 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.
9Do 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.
10Vu The Khoi, The Dijkgraaf–Witten invariants of circle bundles, Vietnam Journal of Mathematics, 42 (2014), 393-399, Scopus.
11Vu The Khoi, Seifert volumes and dilogarithm identities, Journal of Knot Theory and Its Ramifications Vol. 23, (2014) 1450025 (11 pages), SCI(-E), Scopus.
12Vu 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.
13Vu 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.
14Vu 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.
15Vu The Khoi, On the $\rm SU(2,1)$ representation space of the Brieskorn homology spheres, J. Math. Sci. Univ. Tokyo 14 (2007),  499 - 510.
16Vu 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.
17Vu The Khoi, On the symplectic volume of the moduli space of polygons, Vietnam J. Math. 33 (2005), Special Issue, 109 - 111.
18Vu The Khoi, A cut-and-paste method for computing the Seifert volumes, Math. Ann. 326 (2003), 759 - 801.
19Nguyen 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.
20Nguyen 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.
21Nguyen 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
1IMH20181103, Do Viet Hung, Vu The Khoi, Twisted Alexander Ideals and the Isomorphism Problem for a Family of Parafree Groups
2IMH20181102, Vu The Khoi, On the Probability Distribution of the Product of Powers of Elements in Compact Lie Groups
3IMH20160301, Do Viet Hung, Vu The Khoi, Applications of the Alexander ideals to the isomorphism problem for families of groups