Sumanta Das
Academic Position
Institute Postdoctoral Fellow
Department of Mathematics, IIT Bombay
Mentor: Prof. Rekha Santhanam
October 28, 2024 - Present
Education
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.
Research Interests
Low-dimensional topology:
- Maps of non-zero degree.
- Mapping class groups of surfaces.
- The Goldman Lie algebra.
Papers
Accepted:
Pre-print:
- Classification of $\pi_1$-injective proper maps between non-compact surfaces. arXiv:2405.09824v1.
Presentations
Invited Talks:
- 30th Jan 2025. The Goldman bracket characterizes homeomorphisms between non-compact surfaces. DMS Topology & Geometry seminar, IISER Kolkata.
- 29th Jan 2025. Topological Rigidity of Two- and Three-Dimensional Manifolds. DMS Colloquium, IISER Kolkata.
- 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.
Teaching Assistance
- Spring 2025: General Topology (MA 406), IIT Bombay, Instructor: Prof. Chandan Biswas.
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.
Awards & Fellowships
- National Board of Higher Mathematics M.A./M.Sc. Scholarship, 2018.
- National Board of Higher Mathematics Ph.D. Scholarship, 2019.
- CSIR National Eligibility Test, 2019, Junior Research Fellowship, Rank 23.
- National Board of Higher Mathematics Post-Doctoral Fellowship, 2024.
Service
I was a co-organizer of Students' Topology & Geometry Seminars. Also, I developed and currently maintain its website: stgsiisc.github.io.
Participation in Workshops and Conferences
- Feb-Mar 2025, New trends in Teichmüller theory, ICTS, Bangalore.
- Nov-Dec 2024, NCMW - Operads in Topology, IIT Bombay.
- July-Aug 2024, Geometry in Groups, ICTS, Bangalore.
- June 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.
- July 2021, Tech Topology Summer school at Georgia Institute of Technology (virtual).
Relevant Skills
Design, Drawings & Programming Languages:
- Vector graphics, Web design (basic), LaTeX, C, Python (basic).
References
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