Welcome to my homepage! I am an Associate Professor in the Department of Mathematics and Statistics at IIT Kanpur. Prior to this, I was a DST INSPIRE Faculty in the mathematics department at IISER Mohali.
I received my PhD. from The Institute of Mathematical Sciences (IMSc.), Chennai.
Links: Mathscinet Google Scholar Orcid
Satyajit Guin
Department of Mathematics and Statistics,
Indian Institute of Technology Kanpur,
Kanpur - 208016, India.
E-mail: sguin@iitk.ac.in
Phone (office): 0512-679-2053
Office address: FB-573 (Faculty Building)
23. On two notions of torsion and metric compatibility of connections in noncommutative geometry (with Jyotishman Bhowmick, Bappa Ghosh). arXiv:2509.11888
22. Higher reflections and entropy of canonical shifts for inclusions of C*-algebras with finite Watatani index (with Keshab Chandra Bakshi, Biplab Pal, Sruthymurali). arXiv:2506.16130, To appear in Internat. J. Math.
21. A noncommutative construction of families of biunitary matrices and application to subfactors (with Keshab Chandra Bakshi, Guruprasad). arXiv:2506.14351
20. Von Neumann entropy of the angle operator between a pair of intermediate subalgebras (with Keshab Chandra Bakshi, Biplab Pal). To appear in J. Noncommut. Geom. (doi:10.4171/JNCG/606).
19. Conjugate pairs of Hadamard subfactors and vertex models (with Keshab Chandra Bakshi, Guruprasad). Proc. Indian Acad. Sci. Math. Sci. 135 (2025), no. 2, Paper No. 23.
18. On Pimsner-Popa orthonormal basis and Popa’s relative dimension of projections (with Keshab Chandra Bakshi). New York J. Math. 31 (2025), 857--886.
17. A few remarks on intermediate subalgebras of an inclusion of C*-algebras (with Keshab Chandra Bakshi, Debabrata Jana). To appear in Infin. Dimens. Anal. Quantum Probab. Relat. Top. (doi:10.1142/S0219025725500067)
16. A family of subfactors arising from a pair of complex Hadamard matrices (with Keshab Chandra Bakshi, second part of arXiv:2212.07197). Internat. J. Math. 36 (2025), no. 2, Paper No. 2450071.
15. Relative position between a pair of spin model subfactors (with Keshab Chandra Bakshi, first part of arXiv:2212.07197). J. Aust. Math. Soc. 119 (2025), no. 1, 1--38.
14. On the Clebsch-Gordan coefficients for the quantum group Uq(2) (with Bipul Saurabh). Proc. Indian Acad. Sci. Math. Sci. 133 (2023), no. 2, Paper No. 44 (available at https://rdcu.be/ds9bV).
13. Fourier theoretic inequalities for inclusion of simple C*-algebras (with Keshab Chandra Bakshi, Sruthymurali). New York J. Math. 29 (2023), 335--362.
12. Equivariant spectral triples for homogeneous spaces of the compact quantum group Uq(2) (with Bipul Saurabh). Math. Phys. Anal. Geom. 25 (2022), no. 3, Paper No. 21.
11. Equivariant spectral triple for the quantum group Uq(2) for complex deformation parameters (with Bipul Saurabh). J. Geom. Phys. 185 (2023), Paper No. 104748.
10. Representations and classification of the compact quantum groups Uq(2) for complex deformation parameters (with Bipul Saurabh). Internat. J. Math. 32 (2021), no. 4, 2150020.
9. Multiplicativity of Connes' calculus (with P.S. Chakraborty). Rev. Math. Phys. 31 (2019), no. 9, 1950033.
8. Noncommutative Kähler structure on C*-dynamical systems. J. Geom. Phys. 146 (2019), 103492.
7. Comparison between two differential graded algebras in Noncommutative Geometry (with P.S. Chakraborty). Proc. Indian Acad. Sci. Math. Sci. 129 (2019), no. 2, Art. 29.
6. The tensor product of supersymmetric N=(1;1) spectral data. Int. J. Geom. Methods Mod. Phys. 15 (2018), no. 12, 1850207.
5. Subadditivity and additivity of the noncommutative Yang-Mills action functional. J. Math. Phys. 59 (2018), no. 10, 103510.
4. Noncommutative differential calculus on a quadratic algebra (with P.S. Chakraborty). Indian J. Pure Appl. Math. 46 (2015), no. 4, 495--515. (Article invited by the journal)
3. Connes' calculus for the quantum double suspension (with P.S. Chakraborty). J. Geom. Phys. 88 (2015), 16--29.
2. Yang-Mills on quantum Heisenberg manifolds (with P.S. Chakraborty). Comm. Math. Phys. 330 (2014), no. 3, 1327--1337.
Equivalence of two approaches to Yang-Mills on noncommutative torus (with P.S. Chakraborty). J. Noncommut. Geom. 9 (2015), no. 2, 447--471.