BIMSA > Bart Vlaar
Associate Professor Bart Vlaar

Group: Number Theory and Representation Theory

Office: A3-2-305

Email: b.vlaar@bimsa.cn

Research Field: Algebra, representation theory, integrable systems

CV

Biography

Dr. Bart Vlaar has joined BIMSA in September 2022 as an Associate Professor. His research interests are in algebra and representation theory and applications in mathematical physics. He obtained a PhD in Mathematics from the University of Glasgow. Previously, he has held positions in Amsterdam, Nottingham, York and Heriot-Watt University. Before coming to BIMSA he visited the Max Planck Institute of Mathematics in Bonn.

Research Interest

Education Experience

  • 2007 - 2011      University of Glasgow, School of Mathematics and Statistics      Mathematics      Doctor
  • 1997 - 2003      Utrecht University, Department of Physics and Astronomy      Theoretical Physics      Master
  • 1997 - 2002      Utrecht University, Department of Mathematics      Pure Mathematics      Master

Work Experience

  • 2022 -      BIMSA      Associate Professor
  • 2021 - 2022      Max Planck Institute for Mathematics      Visiting Postdoctoral Researcher
  • 2018 - 2021      Heriot-Watt University, School of Mathematical and Computer Sciences      Research Associate
  • 2016 - 2018      University of York, Department of Mathematics      Research Associate
  • 2015 - 2016      University of Nottingham, School of Mathematical Sciences      Research Fellow
  • 2012 - 2014      University of Amsterdam, Korteweg-de Vries Institute for Mathematics      Postdoctoral Researcher

Publication

  • [1] E Koelink, S Kolb, N Reshetikhin, B Vlaar, Hypergeometry, Integrability and Lie Theory, American Mathematical Society (2022)
  • [2] V Regelskis, B Vlaar, Solutions of the$U_q(\widehat{sl}_N)$reflection equations, Journal of Physics A: Mathematical and Theoretical, 51(34), 345204 (2018)
  • [3] N Reshetikhin, J Stokman, B Vlaar, Integral solutions to boundary quantum Knizhnik–Zamolodchikov equations, Advances in Mathematics, 323, 486-528 (2018)
  • [4] V Regelskis, B Vlaar, Reflection matrices, coideal subalgebras and generalized Satake diagrams of affine type, arXiv preprint https://arxiv.org/pdf/1602.08471.pdf (2016)
  • [5] J Stokman, B Vlaar, Koornwinder polynomials and the XXZ spin chain, Journal of Approximation Theory, 197, 69-100 (2015)
  • [6] Nicolai, Reshetikhin, Jasper, Stokman, Bart, Vlaar, Boundary quantum Knizhnik-Zamolodchikov equations and Bethe vectors, Communications in Mathematical Physics, 336, 953-986 (2015)
  • [7] B Vlaar, A non-symmetric Yang-Baxter algebra for the quantum nonlinear Schrödinger model (PhD Thesis), arXiv preprint arXiv:1303.6450 (2013)
  • [8] Andrea Appel and Bart Vlaar, Boundary transfer matrices arising from quantum symmetric pairs, arXiv preprint arXiv:2410.21654 (2024)
  • [9] Andrea Appel and Bart Vlaar, Tensor K-matrices for quantum symmetric pairs, Communications in Mathematical Physics, 406(100) (2025)
  • [10] Andrea Appel and Bart Vlaar, Trigonometric K-matrices for finite-dimensional representations of quantum affine algebras, accepted by Journal of the European Mathematical Society, arXiv: 2203.16503 (2022)
  • [11] Alexander Cooper, Bart Vlaar and Robert Weston, A Q-operator for open spin chains II: boundary factorization, Communications in Mathematical Physics, 405, 110 (2024)
  • [12] Bart Vlaar, A companion to quantum groups, Modern Trends in Algebra and Representation Theory, Part of London Mathematical Society Lecture Note Series (2023)
  • [13] Vidas Regelskis and Bart Vlaar, Pseudo-symmetric pairs for Kac-Moody algebras, arXiv preprint arXiv:2108.00260, 780 (2021)
  • [14] Anastasia Doikou, Alexandros Ghionis and Bart Vlaar, Quasi-bialgebras from set-theoretic type solutions of the Yang-Baxter equation, Lett. Math. Phys., 112(2022)
  • [15] Andrea Appel and Bart Vlaar, Universal K-matrices for quantum Kac-Moody algebras, Representation Theory of the American Mathematical Society, 26, 764-824 (2022)
  • [16] Bart Vlaar and Robert Weston, A Q-operator for open spin chains I: Baxter's TQ relation, J. Phys. A: Math. Theor., 53(2020)
  • [17] Vidas Regelskis and Bart Vlaar, Quasitriangular coideal subalgebras of U_q(g) in terms of generalized Satake diagrams, Bulletin of the London Mathematical Society, 52(2020)
  • [18] Vidas Regelskis and Bart Vlaar, Solutions of the $ U_q (\widehat {\mathfrak {sl}} _N) $ reflection equations, J. Phys. A: Math. Theor., 51 (2018)
  • [19] Nicolai Reshetikhin, Jasper Stokman and Bart Vlaar, Integral solutions to boundary quantum Knizhnik-Zamolodchikov equations, Advances in Mathematics, 323(2018)
  • [20] Bart Vlaar, Boundary transfer matrices and boundary quantum KZ equations, Journal of Mathematical Physics, 56(7) (2015)
  • [21] Nicolai Reshetikhin, Jasper Stokman and Bart Vlaar, Boundary quantum Knizhnik–Zamolodchikov equations and fusion, Annales Henri Poincaré, 17(1), 137-177 (2016)
  • [22] Jasper Stokman and Bart Vlaar, Koornwinder polynomials and the XXZ spin chain, J. Appr. Theory, 197(2015), 69-100
  • [23] Nicolai Reshetikhin, Jasper Stokman and Bart Vlaar, Boundary Quantum Knizhnik–Zamolodchikov Equations and Bethe Vectors, Commun. Math. Phys., 336, 953-986 (2015)
  • [24] Bart Vlaar, A non-symmetric Yang–Baxter algebra for the quantum nonlinear Schrödinger model, Journal of Physics A: Mathematical and Theoretical, 46(23), 235206 (2013)

 

Update Time: 2025-08-13 09:00:08