BIMSA > Guillaume Tahar
Assistant Professor Guillaume Tahar

Group: Algebraic Geometry

Office: A3-2-205

Email: guillaume.tahar@bimsa.cn

Research Field: Differential geometry, Moduli Spaces, Dynamical Systems

CV

Biography

Guillaume Tahar obtained his Ph.D from Université Paris Diderot, under the supervision of Anton Zorich. He was a senior postdoctoral fellow at the Weizmann Institute of Science and joined BIMSA as an Assistant Professor in 2022. His research focuses on geometric structures on surfaces, with applications to moduli spaces and dynamical systems. He contributed to the study of various flavours of geometric structures, including translation surfaces, polyhedral metrics, cone spherical metrics and complex affine structures. His approach typically involves a mix of complex analysis, geometric constructions, and combinatorial reasoning.
His key results include the proof of the existence of closed geodesics in dilation surfaces, the complete characterization of configurations of local invariants realized by a differential on a Riemann surface and the establishment of Grünbaum's asymptotic classification for simplicial line arrangements with few double points.
His recent research interests include the topological interpretation of quantum invariants of knots, the counting of BPS states in quantum field theory and holomorphic dynamics in higher dimensions.

Research Interest

  • Geometry and dynamics on surfaces
  • Moduli spaces of differential forms on Riemann surfaces

Education Experience

  • 2013 - 2017      Universite Paris Diderot      Mathematics      Ph.D      (Supervisor: Professor Anton Zorich)

Honors and Awards

  • 2021      Senior Fellowship      Weizmann Institute of Science (Feinberg Graduate School)

Publication

  • [1] Myongjae Lee, Guillaume Tahar, One-dimensional strata of residueless meromorphic differentials, International Mathematical Research Notices, 2025(12) (2025)
  • [2] Stavros Garoufalidis, Matthew Harper, Ben-Michael Kohli, Jiebo Song, Guillaume Tahar, Extending knot polynomials of braided Hopf algebras to links (2025)
  • [3] Rikard Bøgvad, Boris Shapiro, Guillaume Tahar, Sangsan Warrakkagun, The translation geometry of Polya's shires (2025)
  • [4] Omar Kidwai, Guillaume Tahar, Spectral networks for polynomial cubic differentials (2025)
  • [5] Stavros Garoufalidis, Matthew Harper, Rinat Kashaev, Ben-Michael Kohli, Jiebo Song, Guillaume Tahar, Skein theory for the Links-Gould polynomial (2025)
  • [6] Dawei Chen, Quentin Gendron, Miguel Prado, Guillaume Tahar, Isoresidual curves (2024)
  • [7] Quentin Gendron, Guillaume Tahar, k-differentials with prescribed singularities, accepted by Annales de la faculté des sciences de Toulouse (2024)
  • [8] Dmitri Panov, Guillaume Tahar, Simplicial arrangements with few double points (2024)
  • [9] Adrien Boulanger, Selim Ghazouani, Guillaume Tahar, Closed geodesics in dilation surfaces, accepted by Geometry & Topology(2024)
  • [10] Per Alexandersson, Nils Hemmingsson, Dmitry Novikov, Boris Shapiro, Guillaume Tahar, On boundary points of minimal continuously Hutchinson invariant sets (2024)
  • [11] Quentin Gendron, Guillaume Tahar, Quadratic differentials with prescribed singularities, accepted by Canadian Journal of Mathematics(2024)
  • [12] Per Alexandersson, Nils Hemmingsson, Dmitry Novikov, Boris Shapiro, Guillaume Tahar, Linear first order differential operators and their Hutchinson invariant sets, Journal of Differential Equations, 391(2024), 265-320
  • [13] Gianluca Faraco, Guillaume Tahar, Yongquan Zhang, Isoperiodic foliation of the stratum H(1,1,−2)(2024)
  • [14] Ben-Michael Kohli, Guillaume Tahar, A lower bound for the genus of a knot using the Links- Gould invariant(2023)
  • [15] Quentin Gendron, Guillaume Tahar, Dihedral monodromy of cone spherical metrics, Illinois Journal of Mathematics, 67(2023), 3, 457-483
  • [16] Arnaud Cheritat, Guillaume Tahar, Similarity Surfaces, connections and the measurable Riemann mapping theorem, accepted by Bulletin de la Société Mathématique de France (2023)
  • [17] Dmitry Novikov, Boris Shapiro, Guillaume Tahar, On limit sets for geodesics of meromorphic connections, Journal of Dynamical and Control Systems, 29(2023), 55-70
  • [18] Arnaud Cheritat, Guillaume Tahar, Stiff connections in pseudo-Euclidean manifolds(2023)
  • [19] Kai Fu, Guillaume Tahar, Bounds on saddle connections for flat spheres(2023)
  • [20] Guillaume Tahar, Horizon saddle connections and Morse-Smale dynamics of dilation surfaces, Journal of Modern Dynamics, 19(2023), 417-431
  • [21] Guillaume Tahar, Geometric decompositions of surfaces with spherical metric and conical singularities, Quarterly Journal of Mathematics, 73(2022), 2, 657-678
  • [22] Quentin Gendron, Isoresidual fibration and resonance arrangements, Letters in Mathematical Physics, 112(2022), 33, 1-36
  • [23] Boris Shapiro, Guillaume Tahar, On Existence of quasi-Strebel structures for meromorphic k-differentials, L'Enseignement Mathematique, 67(2021), 2, 187-207
  • [24] Guillaume Tahar, Horizon saddle connections, quasi-Hopf surfaces and Veech groups of dilation surfaces, Geometriae Dedicata, 212(2021), 1, 1-16
  • [25] Guillaume Tahar, A Topological Bound on the Cantor– Bendixson Rank of Meromorphic Differentials, Arnold Mathematical Journal, 7(2021), 2, 213-223
  • [26] France-Ainel Lerner, Guillaume Tahar, Alon Bar, Ori Koren, Tamar Flash., VR Setup to Assess Peripersonal Space Audio-Tactile 3D Boundaries, Frontiers in Virtual Reality (2021)
  • [27] Quentin Gendron, Guillaume Tahar, Abelian differentials with prescribed singularities, Journal de l'Ecole Polytechnique, 8(2021), 1397-1428
  • [28] Guillaume Tahar, Veech groups of flat surfaces with poles, Annales de la faculté des sciences de Toulouse, 29(2020), 1, 57-78
  • [29] Guillaume Tahar, Chamber structure of modular curves X1(N), Arnold Mathematical Journal, 4(2019), 459-481
  • [30] Guillaume Tahar, Geometric triangulations and flips, Comptes rendus de l'Académie des sciences, 357(2019), 620-623
  • [31] Guillaume Tahar, Counting saddle connections in flat surfaces with poles of higher order, Geometriae Dedicata, 196(2018), 145-186

 

Update Time: 2025-07-19 19:19:29