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
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Cabling Legendrian and transverse knots A Chakraborty, JB Etnyre, H Min Journal of Differential Geometry 126 (1), 1-486 2024
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Cabling legendrian and transverse knots, A Chakraborty, JB Etnyre, H Min arXiv preprint arXiv:2012.121486 2020
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Transverse and Legendrian invariants of cables in combinatorial link Floer homology, A Chakraborty arXiv preprint arXiv:1903.122563 2019
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A spanning tree model for Khovanov homology, Rasmussen’s s-invariant and exotic discs in the -ball A Banerjee, A Chakraborty, SK Das arXiv preprint arXiv:2504.026252 2025
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On Elser’s conjecture and the topology of U-nucleus complex, A Chakraborty, A Mondal, S Mukherjee, K Saha
Journal of Combinatorial Theory, Series A 197, 1057481 2023 -
Analyzing Time-Varying Scalar Fields using Piecewise Linear Morse-Cerf Theory, A Dhar, A Chakraborty, V Natarajan, 2025 IEEE Visualization and Visual Analytics (VIS), 91-95 2025
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A spanning tree model for chromatic homology
A Banerjee, A Chakraborty, SK Das, P Paul arXiv preprint arXiv:2504.00834 2025 -
Cabling Legendrian and transverse knots
JB Etnyre, A Chakraborty, H Min 2021 Spring Central Virtual Sectional Meeting 2024 -
Invariants of annular links, cobordisms and transverse links from combinatorial link Floer complex, A Chakraborty
Journal of Knot Theory and Its Ramifications 31 (12) 2022 -
Invariants of annular links, cobordisms and transverse links from combinatorial link Floer complex, A Chakraborty arXiv preprint arXiv:1910.07886 2019
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Invariants of transverse and annular links in combinatorial link Floer homology, A Chakraborty, Stony Brook University 2019
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Supplementary Material for “Analyzing Time-Varying Scalar Fields using Piecewise-Linear Morse-Cerf Theory”
A Dhar, A Chakraborty, V Natarajan
Contact
- E-Mail: apratimn@gmail.com