Ramanujan Santharoubane

Institut Mathématique d'Orsay
Bâtiment 307
Université Paris-Sud
F-91405 Orsay Cedex
Bureau 3O2
Email : ramanujan.santharoubane(at)gmail.com

Je suis maître de conférence à l'université Paris-Sud au laboratoire de mathématiques d'Orsay depuis septembre 2018. Je suis membre de l'équipe Topologie et Dynamique. Ma recherche concerne la topologie de basse dimension, la topologie quantique, les variétés de caractères et les groupes modulaires de surfaces.

Groupe de travail autour des modules d'écheveaux (8-9 octobre 2019)

Recherche

Publications et Pré-publications

1. (with Renaud Detcherry) On the kernel of SO(3)-Witten-Reshetikhin-Turaev quantum representations. A paraître dans Compositio Mathematica. arXiv:2309.11906

2. (with Thomas Le Fils, Renaud Detcherry) Compatible pants decompositions for SL(2,C) representations of surface groups. A paraître dans Groups, Geometry, and Dynamics. arXiv:2210.09854

3. (with Renaud Detcherry) An embedding of skein algebras of surfaces into quantum tori from Dehn-Thurston coordinates. A paraître dans Geometry & Topology. arXiv:2205.03291

4. Algebraic generators of the Skein algebra of a surface. A paraître dans Algebraic & Geometric Topology. arXiv:1803.09804

5. (with Indranil Biswas, Thomas Koberda, Mahan MJ) Representations of surface groups with finite mapping class group orbits. New York Journal of Mathematics 24 (2018), 241-250. arXiv:1702.03622

6. (with Thomas Koberda) Irreducibility of quantum representations of mapping class groups with boundary. Quantum Topology 9(4) 2017. arXiv:1701.08901

7. (with Julien Marché) Asymptotics of quantum representations of surface groups. Annales scientifiques de l'École normale supérieure (4) 54 (2021), no. 5, 1275–1296. arXiv:1607.00664

8. Action of M(0,2n) on some kernel spaces coming from SU(2)-TQFT. Journal of The London Mathematical Society 95(3) 2017. arXiv:1606.02568

9. (with Thomas Koberda) A representation theoretic characterization of simple closed curves on a surface. Mathematical Research Letters 25(5) 2016. arXiv:1603.03456

10. (with Thomas Koberda) Quotient of surface groups and homology of finite covers via quantum representations. Inventiones Mathematicae 206 (2016) 269-292. arXiv:1510.00677

11. Limits of quantum SO(3) representations for the one-holed torus. Journal of Knot Theory and its Ramifications 21 (2012). arXiv:1202.1813