Satyajit Guin

Welcome to my homepage! I am an Assistant 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.

Research interest:  Operator Algebras

Links:  Mathscinet    Google Scholar    Orcid

Contact:

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)

Publications/Preprints:

19. Von Neumann entropy of the angle operator between a pair of intermediate subalgebras (with Keshab

       Chandra Bakshi, Biplab Pal). arXiv:2401.01696, communicated.

18. Inner conjugate pair of Hadamard subfactors and vertex model (with Keshab Chandra Bakshi, Guruprasad).

       arXiv:2401.01664, communicated.

17. On Pimsner-Popa orthonormal basis and Popa’s relative dimension of projections (with Keshab Chandra            

       Bakshi). arXiv:2311.13820, communicated.

16. A few remarks on intermediate subalgebras of an inclusion of C*-algebras (with Keshab Chandra Bakshi, 

       Debabrata Jana). arXiv:2311.07244, communicated.

15. Relative position between a pair of spin model subfactors (with Keshab Chandra Bakshi). arXiv:2212.07197,

      communicated.

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.

1. Equivalence of two approaches to Yang-Mills on noncommutative torus (with P.S. Chakraborty).

J. Noncommut. Geom. 9 (2015), no. 2, 447--471.