Research

I study surfaces with negative curvature. I am particularly interested in the space of geodesic currents. The space of geodesic currents on a surface S is an umbrella term that contains various interesting objects associated with a surface such as the Teichmüller space and homotopy classes of closed curves on S. Here is my research statement.

Publications and preprints:

1) Jyothis, M. (2023) Towards Ivanov's meta-conjecture for geodesic currents arXiv: 2309.14532. 2) Joint work with Didac Martinez-Granado (in preparation) Isometric rigidity of projective filling currents.3) Joint work with Didac Martinez-Granado (in preparation) Strongly hyperbolic currents are dense.

Page updated

Google Sites

Report abuse