Assistant Professor

Academic Positions & Education:

• Assistant Professor, Indian Institute of Science Education & Research Bhopal, India, 12/2017-

• Postdoctoral Teaching & Research Associate, University of Georgia, United States, 08/2014-05/2017

• Visiting Scientist, Indian Statistical Institute Kolkata, India, 05/2014-06/2014

• Postdoctoral Research Associate, University of Regina, Canada, 01/2014-04/2014

• PhD Candidate, University of Regina, Canada, 09/2010-12/2013

• Integrated PhD Candidate, Indian Institute of Science, India, 08/2006-08/2010

• B.Sc (Hons) Candidate, Jadavpur University, India, 08/2003-05/2006 

Research Interests:

• Operator Theory: multivariable dilation theory and functional models

• Operator Algebras: compact and discrete quantum groups

Publications:

• Liftable functionals and finite-dimensional factorization: non-tracial examples (/w S. N. Shinde), J. Ramanujan Math. Soc. 40 (2025), no. 3, 215-227.

• Ergodic decomposition in the space of unital completely positive maps (/w C. J. Kulkarni), Infin. Dimens. Anal. Quantum Probab. Relat. Top. (2024), appeared online.

• Generalized orthogonal measures on the space of unital completely positive maps (/w C. J. Kulkarni), Forum Math. 36 (2024), no. 6, 1483–1497.

• Barycentric decompositions in the space of weak expectations (/w C. J. Kulkarni), Adv. Oper. Theory 8 (2023) , no. 4, paper 59.

• Decomposable weak expectations (/w C. J. Kulkarni), submitted.

• Weak expectations of discrete quantum group algebras and crossed products (/w A. Bhattacharjee), Oper. Matrices 17 (2023), no. 1, 69-77.

• Property (T), property (F) and residual finiteness for discrete quantum groups (/w M. Brannan, A. Chirvasitu and S. Wang), J. Noncommut. Geom. 14 (2020), no. 2, 567-589.

• Kirchberg's factorisation property for discrete quantum groups (/w S. Wang), Bull. London Math. Soc. 48 (2016), no. 5, 866-876.

• Relative weak injectivity of operator system pairs, J. Math. Anal. Appl. 420 (2014), no. 1, 257-267.

• Crossed products of C*-algebras with the weak expectation property (/w D. Farenick), New York J. Math. 19 (2013), 423-429.

• Coincidence of Schur multipliers of the Drury-Arveson space (/w T. Bhattacharyya), Acta Sci. Math (Szeged) 78 (2012), 265-277.

• Complete Pick positivity and unitary invariance (/w T. Bhattacharyya), Studia Math. 200 (2010), no. 2, 149-162.

Group Members:

Postdoctoral Fellow: 

• Dr. Sk. Asfaq Hossain (Feb 2025 - ongoing). PhD: ISI Kolkata. Specialization: Quantum Groups.

PhD Students: 

• Saurabh D. Dwivedi (May 2025 - ongoing). Thesis title: TBA. 

• Divya Pandey (Jan 2025 - ongoing). Thesis title: TBA. 

• Sagar N. Shinde (May 2019 - Dec 2023). Thesis title: Non-tracial liftable functionals on von-Neumann algebras. Defended: April 10, 2024.

• Chaitanya J. Kulkarni (May 2019 - Dec 2023). Thesis title: Decomposing completely positive maps. Defended: February 7, 2024.

MS Thesis Students:

• Shivam Tiwari (Aug 2023 - Apr 2024). Thesis title: von Neumann algebra and its application in quantum theory (co-supervised /w Dr. Dheeraj Kulkarni & Dr. Arnab Rudra). 

• Tanvi Telang (May 2021 - Apr 2022). Thesis title: Group C*-algebras: reduced, universal and exotic.

Project Student:

• Arnab Bhattacharjee (SERB JRF, Oct 2019 - Jul 2021). Research topic: Quantum groups and weak expectations.

Summer Project Students:

• Click HERE for the list.

Teaching@IISERB:

• 600 Level: Operator Algebras, Functional Analysis, PhD Analysis

• 400 Level: Measure & Integration, Complex Analysis I

• 300 Level: Advanced Linear Algebra, Real Analysis, Rings & Modules, Group Theory

• 200 Level: Probability & Statistics, Complex Variables

• 100 Level: Linear Algebra 

Grants & Awards:

• Early Career Research Award (Mar 2019 - Mar 2022) Science and Engineering Board, Govt. of India

• Institute Start-Up Grant (Jun 2018 - May 2020) Office of Faculty Affairs, IISER Bhopal

• Saskatchewan Innovation and Opportunity Scholarship (Nov 2012) Govt. of Saskatchewan & FGSR (UofR), Govt. of Sask. (Canada)

• CMS President's Award for Student's Poster Session (Jun 03, 2012) Canadian Mathematical Society

• Dean's Scholarship (Jan 2012 - Dec 2013) Faculty of Graduate Studies & Research (FGSR), University of Regina

• University Teaching Fellowship (Jan 2011 - Apr 2011) Faculty of Graduate Studies & Research (FGSR), University of Regina 

• Volkswagen Travel Support (Jul 2010) Volkswagen Germany, TU Berlin

• International Travel Support (Jul 2010) Department of Science & Technology, Govt. of India

• IISc Travel Grant (Jul 2010) Indian Institute of Science

• Integrated Ph.D. Scholarship (Aug 2006 - Aug 2010) Indian Institute of Science

Mentors:

• MS Thesis: Dr. Tirthankar Bhattacharyya

• PhD Thesis: Dr. Douglas R. Farenick

• Postdoctoral: Dr. Shuzhou Wang

• Postnupital: Dr. Choiti Bandyopadhyay