Contact information :

Department of Mathematics, University of Virginia
141 Cabell Drive, Kerchof Hall
PO Box 400137 Charlottesville, VA 22904-4137
Office: 229 Kerchof Hall
email : ramanujan.santharoubane(at)gmail.com


I am a postdoc at the University of Virginia in low dimensional topology and geometry. I finished my thesis under the supervision of Gregor Masbaum in September 2015 at the University Paris VII.
My research concerns quantum topology and geometric group theory. More precisely I work in :
-Representations of mapping class groups arising from TQFT's. 
-Problems related to surface groups or Homolgy of finte covers.

Publications and pre-publications :

1. (with Indranil Biswas, Thomas Koberda, Mahan MJ) Representations of surface groups with finite mapping class group orbits. submitted. arXiv:1702.03622

2. (with Thomas Koberda) Irreducibility of quantum representations of mapping class groups with boundary. submitted. arXiv:1701.08901

3. (with Julien Marché) Asymptotics of quantum representations of surface groups. submitted. arXiv:1607.00664

4. Action of M(0,2n) on some kernel spaces coming from SU(2)-TQFT. To appear in Journal of The London Mathematical Society. arXiv:1606.02568

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

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

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

Thesis :
Limites homologiques de représentations quantiques et applications à la conjecture AMU. pdf