CV

Academic Position

Institute Postdoctoral Fellow
Department of Mathematics, IIT Bombay
Mentor: Prof. Rekha Santhanam
Oct 2024 – Present

Indian Institute of Science
Ph.D. in Mathematics, Aug 2019 – Sep 2024
Thesis title: Maps between non-compact surfaces
Thesis advisor: Prof. Siddhartha Gadgil
Date of thesis defence: 19 Sep 2024

Indian Statistical Institute
M. Math, Jul 2017 – May 2019

Ramakrishna Mission Vidyamandira
B.Sc Mathematics, Aug 2014 – May 2017
Minors in Statistics and Computer Science

Low-dimensional topology:

Accepted:

Strong topological rigidity of non-compact orientable surfaces. Algebraic & Geometric Topology, Volume 24-8 (2024), pp. 4423–4469. arXiv: 2111.11194v3.
Surfaces of infinite-type are non-Hopfian, with Siddhartha Gadgil. Comptes Rendus Mathématique, Volume 361 (2023), pp. 1349–1356. arXiv:2210.03395v2.
The Goldman bracket characterizes homeomorphisms between non-compact surfaces, with Siddhartha Gadgil and Ajay Kumar Nair. Algebraic & Geometric Topology, Volume 25-6 (2025), pp. 3585–3601. arXiv:2307.02769v2.
$\pi_1$-injective proper maps between non-compact surfaces. To appear in Proceedings of the American Mathematical Society, Volume 153-12 (2025), pp. 5437–5452. arXiv:2405.09824v2.

Pre-print:

Geometric kernels of proper maps between non-compact surfaces. arXiv:2508.21057v1.

Invited Talks:

30 Jan 2025. The Goldman bracket characterizes homeomorphisms between non-compact surfaces. DMS Topology & Geometry seminar, IISER Kolkata.
29 Jan 2025. Topological rigidity of two- and three-dimensional manifolds. DMS Colloquium, IISER Kolkata.
26 July 2024. Strong topological rigidity of non-compact orientable surfaces. Topology Seminar, IIT Bombay.
11 Sep 2023. Strong topological rigidity of non-compact orientable surfaces. Prospectos en Topología, CCM UNAM, México.
10 Feb 2023. Surfaces of infinite type are non-Hopfian. Geometry & Topology Seminars (GaTs), IISER Bhopal.

Contributed Talks:

6 Oct 2025. Proper homology in the spirit of Brown's proper homotopy theory. Topology Seminar, IIT Bombay.
12 Sep 2025. Geometric kernels of proper maps between non-compact surfaces. Geometry and Topology Seminar, IIT Bombay.
6 Mar 2025. Strong topological rigidity of orientable infinite-type surfaces. New Trends in Teichmüller Theory, ICTS, Bangalore.
31 Jan 2023. The Lusternik-Schnirelmann category. Prime Time Seminars, Department of Mathematics, IISc.
24 Nov 2022. Strong topological rigidity of non-compact orientable surfaces. Postdoc-Student Symposium, Department of Mathematics, IISc.

Autumn 2025: Real Analysis (MA 403), IIT Bombay (Instructor: Prof. Anusha Mangala Krishnan)
Spring 2025: General Topology (MA 406), IIT Bombay (Instructor: Prof. Chandan Biswas)
Introduction to Algebraic Topology (MA 232), IISc, Bangalore:
- Oct 2020 – Jan 2021 (Instructor - Prof. Siddhartha Gadgil)
- Aug 2021 – Dec 2021 (Instructor - Prof. Basudeb Datta)
- Aug 2022 – Dec 2022 (Instructor - Prof. Harish Seshadri)
Dec 2022: Annual Foundation School – I, Mepco Schlenk Engineering College, Sivakasi (Instructor - Prof. H.A. Gururaja)

Co-organizer of Students' Topology & Geometry Seminars. Developed and maintained the seminar's website: stgsiisc.github.io.

Feb 2025 – Mar 2025, New trends in Teichmüller theory, ICTS, Bangalore.
Nov 2024 – Dec 2024, NCMW - Operads in Topology, IIT Bombay.
Jul 2024 – Aug 2024, Geometry in Groups, ICTS, Bangalore.
Jun 2024, NCMW - Holomorphic and Topological Methods in Symplectic Geometry, ISI Kolkata.
Sep 2023, Low-Dimensional Topology at IISER Pune.
May 2023, 1, 2, 3: Curves, Surfaces, and 3-Manifolds at Technion - Israel Institute of Technology, Haifa.
Jul 2021, Tech Topology Summer school at Georgia Institute of Technology (virtual).

Prof. Siddhartha Gadgil
Department of Mathematics
Indian Institute of Science
Bangalore 560012, India

Prof. Subhojoy Gupta
Department of Mathematics
Indian Institute of Science
Bangalore 560012, India

Prof. Harish Seshadri
Department of Mathematics
Indian Institute of Science
Bangalore 560012, India