Arnab Mandal

Assistant Professor

B.Sc in Mathematics (Calcutta University, 2008)

M.Sc in Mathematics (Calcutta University, 2010)

Ph.D in Mathematics (Indian Statistical Institute, 2017)

I did B.Sc and M.Sc from Ramakrishna Mission Vidyamandira, Belur. My Ph.D. degree
was awarded from Indian Statistical Institute under supervision of professor Debashish
Goswami. Thereafter, I joined at NISER, Bhuvaneswar as a postdoctoral fellow under
supervision of Dr. Sutanu Roy. I spent one and half years before joining at Presidency
University.

Mainly my research is based on quantum groups in analytic framework. In particular,
quantum symmetry on non-commutative space (C*-algebra) is my interest. Now, I am
trying to explore quantum symmetries of graph C*-algebra and higher rank graphs. Apart from quantum groups, recently I am also interested in finite group theory and graph theory. I would like to mention that  Dr. Angsuman Das mainly guided me to explore this direction.  
 

I was teaching assistant of two courses (Algebra-1 and Real Analysis-1) at NISER dur-
ing 2017-18.  I have taken the courses  Real Analysis, General Topology, Functional Analysis, Linear Algebra, Group Theory and Ring Theory, Metric space, Operator Algebra and Stochastic Process at Presidency University till date.

Phd Students

1. Ujjal Karmakar

2.  Rajibul Haque

3. Labani Sarkar (jointly with Dr. Angsuman Das)

1. Arnab Mandal: Quantum isometry group of dual of finitely generated discrete groups-
II, Annales Mathematiques Blaise Pascal, 23 (2016), no.2, p-219-247.

2. Pavel Etingof, Debashish Goswami, Arnab Mandal, Chelsea Walton: Hopf coac-
tions on commutative algebras generated by a quadratically independent comodule,
Comm.Algebra, 45 (2017), no.8, 3410-3412.

3. Debashish Goswami, Arnab Mandal:  Quantum isometry group of dual of nitely
generated discrete groups and quantum groups, Rev.Math.Phys, 29 (2017), no.3, 1750008,
38pp.

4. Arnab Mandal:  Example of a group whose quantum isometry group does not depend
on the generating set,  Glasgow Mathematical Journal,  61 (2019), no. 1, 1–11.
 

5. Soumalya Joardar, Arnab Mandal: Quantum symmetry of Graph C*- algebras as-
sociated with connected graphs, Infinite Dimensional Analysis,
Quantum Probability and Related Topics, 21 (2018), no.3, 1850019,18pp.

6. Jyotishman Bhowmick, Arnab Mandal, Sutanu Roy, Adam Skalski:   Quantum sym-
metries of the twisted tensor products of C*-algebras, Comm.Math.Phys,  368 (2019), no. 3, 1051–1085. 

7. Debashish Goswami, Arnab Mandal:  Quantum Isometry Group of Deformation: A
counterexample, Annales Mathematiques Blaise pascal,  26 (2019), no. 1, 55–65.

8.    Soumalya Joardar, Arnab Mandal:  An example of explicit dependence of quantum symmetry on KMS states. J. Ramanujan Math. Soc. 35 (2020), no. 4, 299–306.

9. Soumalya Joardar, Arnab Mandal:  Quantum symmetry of graph C*-algebras at critical inverse temperature. Studia Math. 256 (2021), no. 1, 1–20. 

10. Angsuman Das and Arnab Mandal,  Classification of Cayley rose window graphs. Theory Appl. Graphs 8 (2021). 

11.  Soumalya Joardar, Arnab Mandal:  Invariance of KMS states on graph C*-algebras under classical and quantum symmetry. Proc. Edinb. Math. Soc. (2) 64 (2021), no. 4, 762–778.

12.   U Karmakar, A Mandal : Rigidity on quantum symmetry for a certain class of graph C*-algebras. J.Math.Phys 65 (2024), no.8, 17pp.

13. U Karmakar, A Mandal: Quantum symmetries of  graph C*-algebras having maximal permutational symmetry. Internat.J.Math 36(2025), no.10, 23pp.

14.  A.Das, A.Mandal: Solvability of a group based on its number of subgroups. to appear in Comm.Algebra.

15. A.Das, A.Mandal: Groups in which prime order elements commute. to appear in International Journal of Group Theory.

16.  U Karmakar, A Mandal:  Quantum Automorphism Group of Direct Sum of Cuntz Algebras. to appear in Studia Mathematica.