CV

Academic Position

Institute Postdoctoral Fellow
Department of Mathematics, IIT Bombay
Mentor: Prof. Rekha Santhanam
October 28, 2024 - Present

Indian Institute of Science
Ph.D. in Mathematics, August 2019 - September 2024.
Thesis title: Maps between Non-Compact Surfaces.
Thesis Advisor: Prof. Siddhartha Gadgil.
Date of Thesis Defence: September 19, 2024.

Indian Statistical Institute
M. Math, July 2017 - May 2019.

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

Low-dimensional topology:

Accepted:

Strong topological rigidity of non-compact orientable surfaces. To appear in Algebraic & Geometric Topology. arXiv: 2111.11194v3.
Surfaces of infinite-type are non-Hopfian, with Siddhartha Gadgil. Comptes Rendus Mathématique, Volume 361 (2023), p. 1349-1356. arXiv:2210.03395v2.
The Goldman bracket characterizes homeomorphisms between non-compact surfaces, with Siddhartha Gadgil and Ajay Kumar Nair. To appear in Algebraic & Geometric Topology. arXiv:2307.02769v2.

Pre-print:

Classification of $\pi_1$-injective proper maps between non-compact surfaces. arXiv:2405.09824v1.

Invited Talks:

26th July 2024. Strong topological rigidity of non-compact orientable surfaces. Topology Seminar, IIT Bombay.
11th Sep 2023. Strong topological rigidity of non-compact orientable surfaces. Prospectos en Topología, CCM UNAM, México.
10th Feb 2023. Surfaces of infinite type are non-Hopfian. Geometry & Topology Seminars (GaTs), IISER Bhopal.

Contributed Talks:

31st Jan 2023. The Lusternik-Schnirelmann category. Prime Time Seminars, Department of Mathematics, IISc.
24th Nov 2022. Strong topological rigidity of non-compact orientable surfaces. Postdoc-Student Symposium, Department of Mathematics, IISc.

Introduction to Algebraic Topology (MA232), 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. HA Gururaja.

I was a co-organizer of Students' Topology & Geometry Seminars. Also, I developed and currently maintain its website: stgsiisc.github.io.

July-Aug 2024, Geometry in Groups at ICTS.
June 2024, NCMW-Holomorphic and Topological Methods in Symplectic Geometry at 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.
July 2021, Tech Topology Summer school at Georgia Institute of Technology (virtual).

Design, Drawings & Programming Languages:

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