Overview
TRIM focuses on both fundamental and applicable aspects of mathematics. One of our major goals is to explore the connections between theoretical results and its applications to real-world problems arising out of industrial and social needs. We also aim to foster excellence in higher mathematical education that is suitable for both academia and industry.
Head
Goutam Mukherjee, Professor
Email: goutam.mukherjee[at]tcgcrest.org
Research Areas: Algebraic topology, transformation groups, algebraic deformation theory, Lie groupoid and Lie algebroid.
[ Google Scholar link ]
Faculty
Suratno Basu, Assistant Professor
Education: PhD (Chennai Mathematical Institute, India), 2016
Email: suratno.basu[at]tcgcrest.org
Research Areas: Moduli spaces of algebraic geometric objects (e.g., vector bundles, principle bundles, etc.), stability questions, birational geometry, rational curves on varieties.
[ Google Scholar link ]
Apratim Chakraborty, Assistant Professor
Education: PhD (Stony Brook University, USA), 2019
Email: apratim.chakraborty[at]tcgcrest.org
Research Areas: Low dimensional topology, Heegaard Floer homology, contact topology and quantum link invariants, applied topology and topological combinatorics.
[ Google Scholar link ]
Sayan Chakraborty, Assistant Professor
Education: PhD (University of Muenster, Germany), 2018
Email: sayan.chakraborty[at]tcgcrest.org
Research Areas: Functional analysis, operator algebra, noncommutative geometry, K-theory, quantum information.
Webpage: www.sayanc.in
[ Google Scholar link ]
Somnath Hazra, Assistant Professor
Education: PhD (Indian Institute of Science, India), 2018
Email: somnath.hazra[at]tcgcrest.org
Research Areas: Homogeneous operators, Cowen-Douglas class of operators, study of reproducing kernel Hilbert modules using tools of complex geometry, dilation theory.
Webpage: sites.google.com/view/somnathhazra
[ Google Scholar link ]
Anupam Mondal, Assistant Professor
Education: PhD (Tata Institute of Fundamental Research, India), 2019
Email: anupam.mondal[at]tcgcrest.org
Research Areas: Graph theory, combinatorics.
Webpage: anupam-m-discmath.github.io
[ Google Scholar link ]
Sajal Mukherjee, Assistant Professor
Education: PhD (Visva-Bharati, India), 2019
Email: sajal.mukherjee[at]tcgcrest.org
Research Areas: Combinatorics (algebraic and enumerative), combinatorial topology.
[ Google Scholar link ]
Kuldeep Saha, Assistant Professor
Education: PhD (Chennai Mathematical institute, India), 2020
Email: kuldeep.saha[at]tcgcrest.org
Research Areas: Geometric topology, combinatorial and applied topology.
[ Google Scholar link ]
PhD Students
2021
Saikat Goswami (Supervisor: Goutam Mukherjee)
Degree Granting Institute: Ramakrishna Mission Vivekananda Education and Research Institute, Belur Math, Howrah.
Field of Research: Algebra, geometry.
Shital Lawande (Supervisors: S.D. Adhikari, Kuldeep Saha)
Degree Granting Institute: Ramakrishna Mission Vivekananda Education and Research Institute, Belur Math, Howrah.
Field of Research: Geometric topology.
Tamojit Saha (Supervisors: Joydeep Mukherjee, Anupam Mondal)
Degree Granting Institute: Ramakrishna Mission Vivekananda Education and Research Institute, Belur Math, Howrah.
Field of Research: Graph theory, algorithm.
2022
Aninda Banerjee (Supervisor: Apratim Chakraborty)
Degree Granting Institute: National Institute of Technology, Durgapur.
Field of Research: Low dimensional topology, knot theory.
Jotirmoy Das (Supervisor: Somnath Hazra)
Degree Granting Institute: National Institute of Technology, Durgapur.
Field of Research: Functional analysis, operator theory.
Swarup Das (Supervisor: Apratim Chakraborty)
Degree Granting Institute: National Institute of Technology, Durgapur.
Field of Research: Low-dimensional topology, knot theory.
Pratik Kumar Kundu (Supervisor: Sayan Chakraborty)
Degree Granting Institute: National Institute of Technology, Durgapur.
Field of Research: Functional analysis, operator theory.
Pritam Chandra Pramanik (Supervisor: Sajal Mukherjee)
Degree Granting Institute: National Institute of Technology, Durgapur.
Field of Research: Algebraic combinatorics, topological combinatorics.
2023
Sneha Banerjee (Supervisor: Kuldeep Saha)
Degree Granting Institute: Academy of Scientific and Innovative Research (AcSIR)
Field of Research: Contact and symplectic topology.
Sucharita Barik (Supervisor: Anupam Mondal)
Degree Granting Institute: Academy of Scientific and Innovative Research (AcSIR)
Field of Research: Graph theory, combinatorics.
Abhirup Das (Supervisor: Suratno Basu)
Degree Granting Institute: Academy of Scientific and Innovative Research (AcSIR)
Field of Research: Algebraic Geometry
Madhura Dutta (Supervisor: Anupam Mondal)
Degree Granting Institute: Academy of Scientific and Innovative Research (AcSIR)
Field of Research: Graph theory, algorithm.
Umme Joinab (Supervisor: Suratno Basu)
Degree Granting Institute: Academy of Scientific and Innovative Research (AcSIR)
Field of Research: Algebraic Geometry.
Suman Pattanayak (Supervisor: Goutam Mukherjee)
Degree Granting Institute: Academy of Scientific and Innovative Research (AcSIR)
Field of Research: Algebra.
Arundhati Rakshit (Supervisor: Sajal Mukherjee)
Degree Granting Institute: Academy of Scientific and Innovative Research (AcSIR)
Field of Research: Topological combinatorics.
Subhadeep Rana (Supervisor: Kuldeep Saha)
Degree Granting Institute: Academy of Scientific and Innovative Research (AcSIR)
Field of Research: Geometric topology.
2024
Atanu Chakrabartty (Supervisor: Goutam Mukherjee)
Degree Granting Institute: Academy of Scientific and Innovative Research (AcSIR)
Field of Research: Algebra.
Subhendu Chakraborty (Supervisor: Anupam Mondal)
Degree Granting Institute: Academy of Scientific and Innovative Research (AcSIR)
Field of Research: Graph theory, combinatorics.
Aranya Das (Supervisor: Suratno Basu)
Degree Granting Institute: Academy of Scientific and Innovative Research (AcSIR)
Field of Research: Commutative algebra.
Recent Publications
- Saikat Goswami, Deformation Cohomology of Lie-Yamaguti Algebras and Free Lie-Yamaguti Algebras, Communications in Algebra. DOI: https://doi.org/10.1080/00927872.2025.2499701
- Sayan Chakraborty, Symmetrized non-commutative tori revisited. J. Noncommut. Geom. 19 (2025), no. 1, pp. 29–72.
- J. Mukherjee, Tamojit Saha, Connected feedback vertex set on AT-free graphs. Acta Informatica 62, 2 (2025). https://doi.org/10.1007/s00236-024-00469-5
- Anupam Mondal, Pritam Chandra Pramanik, A note on an application of discrete Morse theoretic techniques on the complex of disconnected graphs. Examples and Counterexamples, 7:100174 (2025).
DOI:10.1016/j.exco.2025.100174(eprint:arXiv:2305.08086) - Anupam Mondal, Sajal Mukherjee, Kuldeep Saha, Topology of matching complexes of complete graphs via discrete Morse theory. Discrete Mathematics & Theoretical Computer Science, 26:3 #13 (2024).
DOI:10.46298/dmtcs.12887, eprint:(arXiv:2305.02973) - Saikat Goswami, Satyendra Kumar Mishra, Goutam Mukherjee, Universal coacting Hopf algebra of a finite dimensional Lie-Yamaguti algebra, Linear Algebra and its Applications Volume 703, Pages 556-583, 2024.
- Sayan Chakraborty, Xiang Tang, Yi-Jun Yao, Smooth Connes-Thom Isomorphism, Cyclic Homology, and Equivariant Quantisation, Communications in Mathematical Physics (2024).
- B. Banerjee and Goutam Mukherjee, A Note on Cohomology of Clifford Algebras. Advances in Applied Clifford Algebras, Vol. 34 (16), 2024. Springer Nature Switzerland AG 2024. (doi: https://doi.org/10.1007/s00006-024-01324-z)
- Saikat Goswami, Satyendra Kumar Mishra, Goutam Mukherjee, Automorphisms of Extensions of Lie-Yamaguti Algebras and Inducibility Problem. Journal of Algebra 641 (2024) 268–306.
- Suratno Basu, S. Pal, Existence of Ulrich bundles on some surfaces of general type. Journal of Algebra, 640, 2024.
- D. Kulkarni, K. Rajeevsarathy, Kuldeep Saha, Periodic surface homeomorphisms and contact structures. J. Korean Math. Soc. 2024;61:1-28. https://doi.org/10.4134/JKMS.j220244
- Apratim Chakraborty, John B. Etnyre, Hyunki Min,CablingLegendrian and transverse knots, J. Differential Geom. 126(1): 1-48 (1 January 2024). DOI: 10.4310/jdg/1707767333
- Suratno Basu, S. Pal: Stability of Sysyzy bundles corresponding to stable vector bundles on algebraic surfaces. Bulletin Des Sciences Mathematique, 189 (2023).
- Sayan Chakraborty: Symmetrized non-commutative tori revisited. Journal of Noncommutative Geometry 2023. [arXiv]
- B. Bagchi, Somnath Hazra and G. Misra, A product formula for homogeneous characteristic functions, Integral Equations and Operator Theory, 2023, vol: 95, no. 2, 41 pp.
- Apratim Chakraborty, Anupam Mondal, Sajal Kr. Mukherjee, and Kuldeep Saha: On Elser’s conjecture and the topology of U-nucleus complex. Journal of Combinatorial Theory, Series A, 2023. Doi: https://doi.org/10.1016/j.jcta.2023.105748
- A. Nath, Kuldeep Saha, Open books and embeddings of smooth and contact manifolds. Advances in Geometry, vol. 23, no. 2, 2023, pp. 247-266. https://doi.org/10.1515/advgeom-2023-0008