Biography

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] Andrea Appel and Bart Vlaar, Boundary transfer matrices arising from quantum symmetric pairs, Indagationes Mathematicae, 2025 (2025)
• [2] Andrea Appel and Bart Vlaar, Tensor K-matrices for quantum symmetric pairs, Communications in Mathematical Physics, 406(100) (2025)
• [3] Andrea Appel and Bart Vlaar, Trigonometric K-matrices for finite-dimensional representations of quantum affine algebras, Journal of the European Mathematical Society, arXiv: 2203.16503 (2025)
• [4] Alexander Cooper, Bart Vlaar and Robert Weston, A Q-operator for open spin chains II: boundary factorization, Communications in Mathematical Physics, 405, 110 (2024)
• [5] Bart Vlaar, A companion to quantum groups, Modern Trends in Algebra and Representation Theory, Part of London Mathematical Society Lecture Note Series (2023)
• [6] Vidas Regelskis and Bart Vlaar, Pseudo-symmetric pairs for Kac-Moody algebras, Contemporary Mathematics. Virtual Conference Hypergeometry, Integrability and Lie Theory, 2020., 780 (2022)
• [7] Andrea Appel and Bart Vlaar, Universal K-matrices for quantum Kac-Moody algebras, Representation Theory of the American Mathematical Society, 26, 764-824 (2022)
• [8] Anastasia Doikou, Alexandros Ghionis and Bart Vlaar, Quasi-bialgebras from set-theoretic type solutions of the Yang–Baxter equation, Letters in Mathematical Physics, 112(4), 78 (2022)
• [9] Vidas Regelskis and Bart Vlaar, Quasitriangular coideal subalgebras of$Uq(g)$in terms of generalized Satake diagrams, Bulletin of the London Mathematical Society, 52(4), 693-715 (2020)
• [10] Bart Vlaar and Robert Weston, A Q-operator for open spin chains I. Baxter’s TQ relation, Journal of Physics A: Mathematical and Theoretical, 53(24), 245205 (2020)
• [11] Vidas Regelskis and Bart Vlaar, Solutions of the$U_q(\widehat{sl}_N)$reflection equations, Journal of Physics A: Mathematical and Theoretical, 51(34), 345204 (2018)
• [12] Nicolai Reshetikhin, Jasper Stokman and Bart Vlaar, Integral solutions to boundary quantum Knizhnik–Zamolodchikov equations, Advances in Mathematics, 323, 486-528 (2018)
• [13] Vidas Regelskis and Bart Vlaar, Reflection matrices, coideal subalgebras and generalized Satake diagrams of affine type, arXiv preprint https://arxiv.org/pdf/1602.08471.pdf (2016)
• [14] Nicolai Reshetikhin, Jasper Stokman and Bart Vlaar, Boundary quantum Knizhnik–Zamolodchikov equations and fusion, Annales Henri Poincaré, 17(1), 137-177 (2016)
• [15] Bart Vlaar, Boundary transfer matrices and boundary quantum KZ equations, Journal of Mathematical Physics, 56(7) (2015)
• [16] Jasper Stokman and Bart Vlaar, Koornwinder polynomials and the XXZ spin chain, Journal of Approximation Theory, 197, 69-100 (2015)
• [17] Nicolai Reshetikhin, Jasper Stokman, and Bart Vlaar, Boundary quantum Knizhnik-Zamolodchikov equations and Bethe vectors, Communications in Mathematical Physics, 336, 953-986 (2015)
• [18] 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)
• [19] Bart Vlaar, A non-symmetric Yang-Baxter algebra for the quantum nonlinear Schrödinger model (PhD Thesis), arXiv preprint arXiv:1303.6450 (2013)