Dr. Apratim Chakraborty
Assistant Professor, IAI TCG CREST
Research Interest
- Low dimensional topology: Heegaard Floer homology, contact topology and quantum link invariants
- Applied topology and topological combinatorics
Academic Qualification
- Ph.D. in Mathematics from Stony Brook University (2013-2019)
- B.Math from Indian Statistical Institute (2010 – 2013)
Teaching Experience
- Spring 2023, TCG CREST, IAI Ph.D, course – Introduction to knot theory and low dimensional topology
- Spring 2022, TCG CREST, IAI Ph.D. course – Trends in combinatorics and topology
- Fall 2021, TCG CREST, IAI Ph.D. course – Algebra and its applications
- MAT 303, Summer 2019, Stony Brook University – Calculus IV with Applications(Ordinary differential equations)
- MAT 342, Summer 2018, Stony Brook University – Applied Complex Analysis
- AMS 351/MAT 312, Summer 2017, Stony Brook University – Applied Algebra
- AMS 351/MAT 312, Summer 2016, Stony Brook University – Applied Algebra (Elementary number theory, group theory and applications)
- MAT 126, Summer 2015, Stony Brook University – Calculus B (Integral calculus)
Publications and Pre-prints
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Cabling Legendrian and transverse knots (with John B. Etnyre and Hyunki Min) (to appear in Journal of Differential Geometry)
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Invariants of annular links, cobordisms and transverse links from combinatorial link Floer complex (Journal of Knot Theory and Its Ramifications Vol. 31, No. 12 , 2250079 (2022))
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On Elser’s conjecture and the topology of U-nucleus complex (with A. Mondal, S. Mukherjee and K. Saha) (Journal of Combinatorial Theory, Series A, 197:105748 (2023)).
- Transverse and Legendrian invariants of cables in combinatorial link Floer homology (Preprint: arXiv:1903.12256)
Contact
- E-Mail: apratimn@gmail.com
- Mobile: +91-8584880643