Guillaume Tahar
Associate Professor, Mathematics with Computer Science Program
Office: L304, South Campus
Dr. Guillaume Tahar received his Ph.D. in Mathematics in 2017 from Université Paris Diderot under the supervision of Prof. Anton Zorich. From 2019 to 2022, he worked at the Weizmann Institute of Science, Israel, first as a postdoctoral researcher. From 2022 to 2026, he was an Assistant Professor at the Beijing Institute of Mathematical Sciences and Applications. His research mainly focuses on geometry and dynamics on surfaces, with particular emphasis on moduli spaces of differential forms and geometric structures. His recent interests also include quantum topology, holomorphic dynamics, and combinatorial geometry.
- Geometry and Dynamics on surfaces
- Moduli spaces of differential forms on Riemann surfaces
- Quantum Topology
- Combinatorial Geometry
2018
1. Guillaume Tahar. “Counting saddle connections in flat surfaces with poles of higher order.” Geometriae Dedicata, 196(1), 145–186.
2019
2. Guillaume Tahar. “Chamber structure of modular curves X₁(N).” Arnold Mathematical Journal, 4(3–4), 459–481.
3. Guillaume Tahar. “Geometric triangulations and flips.” Comptes Rendus. Mathématique, 357(7), 620–623.
2020
4. Guillaume Tahar. “Veech groups of flat surfaces with poles.” Annales de la Faculté des Sciences de Toulouse : Mathématiques, 29(1), 57–78.
2021
5. Guillaume Tahar. “Horizon saddle connections, quasi-Hopf surfaces and Veech groups of dilation surfaces.” Geometriae Dedicata, 212(1), 1–16.
6. Guillaume Tahar. “A topological bound on the Cantor–Bendixson rank of meromorphic differentials.” Arnold Mathematical Journal, 7(2), 213–223.
7. Quentin Gendron, Guillaume Tahar. “Abelian differentials with prescribed singularities.” Journal de l’École Polytechnique — Mathématiques, 8, 1397–1428.
8. Boris Shapiro, Guillaume Tahar. “On existence of quasi-Strebel structures for meromorphic k-differentials.” L’Enseignement Mathématique, 67(1–2), 187–207.
2022
9. Guillaume Tahar. “Geometric decompositions of surfaces with spherical metric and conical singularities.” The Quarterly Journal of Mathematics, 73(2), 657–678.
10. Quentin Gendron, Guillaume Tahar. “Isoresidual fibration and resonance arrangements.” Letters in Mathematical Physics, 112(2), 33.
2023
11. Dmitry Novikov, Boris Shapiro, Guillaume Tahar. “On limit sets for geodesics of meromorphic connections.” Journal of Dynamical and Control Systems, 29(1), 55–70.
12. Guillaume Tahar. “Horizon saddle connections and Morse–Smale dynamics of dilation surfaces.” Journal of Modern Dynamics, 19, 417–431.
13. Quentin Gendron, Guillaume Tahar. “Dihedral monodromy of cone spherical metrics.” Illinois Journal of Mathematics, 67(3), 457–483.
2024
14. 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, 265–320.
2025
15. Myeongjae Lee, Guillaume Tahar. “One-dimensional strata of residueless meromorphic differentials.” International Mathematics Research Notices, 2025(12), rnaf165.
16. Adrien Boulanger, Selim Ghazouani, Guillaume Tahar. “Closed geodesics in dilation surfaces.” Geometry & Topology, 29(4), 2217–2250.
17. Quentin Gendron, Guillaume Tahar. “Quadratic differentials with prescribed singularities.” Canadian Journal of Mathematics, 77(5), 1762–1826.
18. Quentin Gendron, Guillaume Tahar. “k-differentials with prescribed singularities.” Annales de la Faculté des Sciences de Toulouse : Mathématiques, 34(4), 901–1006.
2026
19. Stavros Garoufalidis, Matthew Harper, Rinat Kashaev, Ben-Michael Kohli, Jiebo Song, Guillaume Tahar. “Skein theory for the Links–Gould polynomial.” Journal of the London Mathematical Society, 113(4), e70522.
20. Stavros Garoufalidis, Matthew Harper, Ben-Michael Kohli, Jiebo Song, Guillaume Tahar. “Extending Knot Polynomials of Braided Hopf Algebras to Links.” SIGMA, 22, 050.
21. Dawei Chen, Quentin Gendron, Miguel Prado, Guillaume Tahar. “Isoresidual curves.” Journal de l’École Polytechnique — Mathématiques, 13, 891–963.
22. Per Alexandersson, Nils Hemmingsson, Dmitry Novikov, Boris Shapiro, Guillaume Tahar. “On boundary points of minimal continuously Hutchinson invariant sets.” Arnold Mathematical Journal, 12(2).
23. Kai Fu, Guillaume Tahar. “Bounds on saddle connections for flat spheres.” Journal of Topology, 19(2), e70076.
24. Arnaud Chéritat, Guillaume Tahar. “Similarity surfaces, connections and the measurable Riemann mapping theorem.” Bulletin de la Société Mathématique de France, 154(2), 421–546.
25. Dmitri Panov, Guillaume Tahar. “Simplicial arrangements with few double points.” Discrete & Computational Geometry, 76, 958–977.
Forthcoming / To Appear
26. R. Bøgvad, Boris Shapiro, Guillaume Tahar, Sangsan Warakkagun. “The translation geometry of Pólya’s shires.” Duke Mathematical Journal, to appear.
27. Ben-Michael Kohli, Guillaume Tahar. “A lower bound for the genus of a knot using the Links–Gould invariant.” Quantum Topology, published online first.
28. Dawei Chen, Guillaume Tahar. “Complete subvarieties in the projectivized strata of meromorphic differentials.” Illinois Journal of Mathematics, to appear.
29. Dawei Chen, Quentin Gendron, Miguel Prado, Guillaume Tahar. “Finite isoresidual covers in strata of k-differentials.” The Quarterly Journal of Mathematics, to appear.
30. Arnaud Chéritat, Guillaume Tahar. “Hybrid connections on Hessian manifolds.” Geometriae Dedicata, to appear.