** Research Interests: **
I am interested in geometric structures on manifolds, group actions preserving geometric structures, discrete subgroups of Lie groups and geometric group theory.

I study convex projective structures (or Hilbert geometries). I adapt tools from geometric group theory and analyze negative curvature/ weakly hyperbolic phenomena in such structures. More broadly, this is connected to the study of discrete subgroups of projective linear groups with some hyperbolcity, like Anosov representations.

** Publications/ Preprints: **
Link to my arXiv.

- Convex co-compact groups with one dimensional boundary faces (with A. Zimmer)

Preprint (on arXiv) - Convex co-compact representations of 3-manifold groups (with A. Zimmer)

Submitted - Rank-One Hilbert Geometries

Submitted - Convex co-compact actions of relatively hyperbolic groups (with A. Zimmer)

To appear in Geometry and Topology - A flat torus theorem for convex co-compact actions of projective linear groups (with A. Zimmer)

Journal of the London Mathematical Society, 2021 (journal)

** Thesis: ** Rank One Phenomena in Convex Projective Geometry (link)

**Invited Talks:**

- Convex co-compact groups and relative hyperbolicity

Young researcher's meeting of the GDR Platon, CIRM - Marseille Luminy, November 2021 - Convex co-compact groups and relative hyperbolicity

Topology and Geometric Group Theory Seminar, Ohio State University, November 2021 - Preliminaries on dynamics on geometrically finite hyperbolic manifolds

Arbeitsgemeinschaft: Thin Groups and Super-strong Approximation, Oberwolfach, October 2021 - Convex co-compact representations of 3-manifold groups

Geometry Seminar, University of Virginia, March 2021 - Rank One Phenomena in Hilbert Geometries

Geometry Seminar, Indiana University Bloomington, December 2020 - Convex co-compact representations of 3-manifold groups

McGill Geometric Group Theory Seminar, McGill University, November 2020 - Convex co-compact representations of 3-manifold groups

MSRI, Random and Arithmetic Structures in Topology (virtual semester), November 2020. (Video) - Rank one phenomena in convex projective geometry

Nearly Carbon Neutral Geometric Topology Conference (NCNGT), June 2020 (Video of the talk: Part 1 Part 2) - Convex co-compact actions of non-hyperbolic groups
*(cancelled due to COVID)*

Geometry and Topology Seminar, Louisiana State University, March 2020 - Convex co-compact actions of relatively hyperbolic groups

Topology Seminar, University of Texas, Austin, November 2019 - Hilbert Geometry (notes)

Indian Statistical institute (Kolkata, India), January 2019 - Rigidity Theorems in Geometry (notes)

Indian Statistical Institute (Kolkata, India), July 2017

**Talks at the University of Michigan: **

- Rank rigidity phenomena in geometry, January 2020, Student Dynamics seminar
- Random walks on hyperbolic groups, November 2019, Student Dynamics seminar
- Convex co-compact actions of relatively hyperbolic groups, RTG Seminar in Dynamics, Geometry and Topology
- Cohomological characterization of higher rank symmetric spaces (notes), December 2018, Student Geometry/Topology seminar
- Horocycle flow in hyperbolic surfaces, March 2018, Student Dynamics seminar
- Geodesic flow on hyperbolic surfaces (notes), December 2017
- Volume Entropy (notes), April 2017, Student Geometry/Topology Seminar

** Activities:** I organized a reading group on rigidity properties of higher-rank lattices and their actions at the University of Michigan (February - July 2020)

I co-organized the *Student Dynamics* and the *Student Geometry* seminars at the University of Michigan (January 2019 - April 2020).

I organized a learning seminar on a part of Yves Benoist's work on strictly convex Hilbert geometries (Convex divisible I and Convex divisible 4) within the Student Dynamics seminar at University of Michigan (Feb 11- March 11, 2019).

** Notes: ** These are links to some expository notes that I have written up or notes of my seminar talks. They are not original results, are not intended for publication and have not been carefully proof-read.

- Hilbert geometry
- Cohomological characterization of higher rank symmetric spaces
- Geodesic flow on hyperbolic surfaces
- Rigidity theorems in geometry
- Volume entropy

** Conferences/ Workshops: ** Some conferences/ workshops that I have attended.

- Random and Arithmetic Structures in Topology (Virtual Semester), MSRI, Fall 2020
- Geometric group theory without boundaries (virtual), July 2020
- Nearly Carbon Neutral Geometric Topology Conference (NCNGT), June 2020
- Aspects of Geometric Group Theory, July 2019
- Perspectives on Convex Projective Geometry, June 2019
- 2019 Midwest Dynamical Systems Early Career Conference , May 2019
- Probabilistic Methods in Negative Curvature , March 2019
- Thematic Program on Teichmuller Theory and its Connections to Geometry, Topology and Dynamics, August 2018
- Workshop on Groups, geometry and Dynamics, July 2018
- New Methods for Zimmer's Conjecture, January 2018
- Third GEAR Retreat (Junior Retreat) , Stanford University, July 31-August 4, 2017
- Houston Summer School on Dynamical Systems, University of Houston, May 17-25, 2017