Mitul Islam

Home Research Teaching

Research Interests

I am broadly interested in:

Publications and Preprints

Link to my arXiv.

  1. Boundary actions of lattices and C0 local semi-rigidity (with C. Connell, T. Nguyen, and R. Spatzier)
    Submitted (61 pages).
  2. The structure of relatively hyperbolic groups in convex real projective geometry (with A. Zimmer)
    Submitted (31 pages).
  3. Convex co-compact groups with one dimensional boundary faces (with A. Zimmer)
    Submitted (24 pages).
  4. Convex co-compact representations of 3-manifold groups (with A. Zimmer)
    To appear in Journal of Topology (48 pages).
  5. Rank-One Hilbert Geometries
    To appear in Geometry and Topology.
  6. Convex co-compact actions of relatively hyperbolic groups (with A. Zimmer) Journal
    Geometry and Topology 27 (2023) 417-511 (95 pages).
  7. A flat torus theorem for convex co-compact actions of projective linear groups (with A. Zimmer) Journal
    Journal of the London Mathematical Society (2021) Volume 3 Issue 2 470-489 (19 pages).

Other writings

Mini-courses

Mini-course (3-part, titled "Actions of lattices on boundaries")
Conference: Groups and Rigidity Around Zimmer Program (GRAZP), Ventotene
September 2023
Mini-course (3-part, title "Convex Projective Geometric Structures"), ISI Kolkata December 2022

Conference Talks

Arbeitsgemeinschaft: Thin Groups and Super-strong Approximation, Oberwolfach October 2021
Nearly Carbon Neutral Geometric Topology Conference ( NCNGT ) | (Video: Part 1   Part 2) June 2020

Invited Talks

Groups and Dynamics seminar, University of Texas-Austin February 2024
Geometry seminar, University of Wisconsin-Madison January 2024
Geometric Group Theory seminar, Ohio State University January 2024
Geometry seminar, University of Michigan January 2024
Geometry seminar, IISc Bangalore March 2023
Seminar, TIFR-CAM Bangalore March 2023
Colloquium, TIFR Mumbai March 2023
Geometric Analysis Seminar, IIT Mumbai March 2023
Geometry seminar, Florida State University November 2022
Geometric Analysis Seminar, IIT Bombay November 2022
Colloquium, Indian Statistical Institute, Kolkata, India December 2021
Young researcher's meeting of the GDR Platon, CIRM - Marseille Luminy November 2021
Topology and Geometric Group Theory Seminar, Ohio State University November 2021
Geometry Seminar, University of Virginia March 2021
Geometry Seminar, Indiana University Bloomington December 2020
McGill Geometric Group Theory Seminar, McGill University November 2020
MSRI, Random and Arithmetic Structures in Topology (virtual semester) | (Video) November 2020
Topology Seminar, University of Texas, Austin November 2019
Indian Statistical institute, Kolkata, India | (notes) January 2019
Indian Statistical Institute, Kolkata, India | (notes) July 2017

Organizational Activities

Co-organizer, Differential Geometry Seminar (Heidelberg University) October 2021 - July 2023
Co-organizer, Graduate Student Geometry Seminar (University of Michigan) January 2019 - April 2020
Co-organizer, Graduate Student Dynamics Seminar (University of Michigan) January 2019 - April 2020

Notes

These are a collection of expository notes that I have written up at various points. They are not original results, are not intended for publication, and have not been carefully proof-read.