
SANTU BERA
Welcome to my homepage—a small space for Mathematics, research, and ideas.
I am currently a postdoctoral fellow in the Department of Mathematics at the Indian Institute of Technology Kharagpur, working with Dr. Soumitra Ghara. My work focuses on Operator Theory on Hilbert spaces and related areas of analysis.
You are always welcome to contact me at:
santuddd12[at]gmail.com
santu[at]maths.iitkgp.ac.in
Academics
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FARE Fellow, Indian Institute of Technology, Kanpur, Aug' 2025-April 2026. Mentor: Prof. Sameer Chavan
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Ph.D., Indian Institute of Technology, Kanpur, Sep' 2020-Aug' 2025. Supervisor: Prof. Sameer Chavan. Thesis title: Dirichlet-type spaces of the unit bidisc and toral 2-isometries.
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M. Sc., Indian Institute of Technology, Kanpur, 2018-2020
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B. Sc., Ramakrishna Mission Residential College (Autonomous), 2015-2018
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Higher Secondary, Satmile High School, WBCHSE, 2015
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Secondary, Khagda Pallisree High School, WBBSE, 2013
You can find my CV here (last updated on 01 December 2025).
Publications and preprints
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Subnormality of the quotients of $\mathbb T^d$-invariant Hilbert modules (jointly with Amritha K S, Sameer Chavan, and Shanola S Sequeira).
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Levy measures for completely hyperexpansive operator pairs with zero defect (jointly with Shanola S. Sequeira), submitted to a journal.
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Dirichlet-type spaces of the unit bidisc and toral completely hyperexpansive operators, accepted for publication in the New York Journal of Mathematics, arxiv.org/abs/2506.20143
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A transference principle for involution-invariant functional Hilbert spaces (jointly with Sameer Chavan and Shubham Jain), J. Geom. Anal. 35, (2025), no. 11, Paper No. 354.
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Dirichlet-type Spaces of the bidisc and toral 2-isometry (jointly with Sameer Chavan and Soumitra Ghara), Canad. J. Math. 77 (2025), no. 4, 1271–1293.
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A spectral dichotomy for commuting pairs of m-isometries with negative core operator (jointly with Sameer Chavan and Soumitra Ghara), Linear Algebra Appl. 688 (2024), 244–255.
Awards and Honors
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Fellowship for Academic and Research Excellence (FARE), IIT Kanpur, Aug’ 25-April 26
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Prime Minister’s Research Fellowship, IIT Kanpur, Aug’ 21– Jul’ 25,
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Institute Assistantship, IIT Kanpur, Sep’ 20– Jul’ 21
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NBHM Ph.D. Fellowship (not taken), Oct’ 20
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Prof. R. K. Jain Award, IIT Kanpur, Jul’ 20
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AIR-13 in GATE, Mar’ 20
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AIR-68 (JRF) in CSIR-UGC NET, Jun’ 19
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AIR-77 in IIT-JAM in Mathematics, Mar’ 18
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INSPIRE-SHE Scholarship, RKMRC and IIT Kanpur, Jul’ 15– May 20
Teaching
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Tutor for Real Analysis at the IWM Winter School for Young Women in Mathematics (WSYWM-21) (15th Dec -24th Dec 2021).
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Teaching assistant for the course MTH-101(Calculus) at IIT Kanpur in the semester I (2021-2022).
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Teaching Complex Analysis for Competitive Exams at VSSD College, Kanpur (May 2022- Jan 2023).
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Teaching assistant for the courses MTH-111 and MTH112 (Calculus) at IIT Kanpur in the semester I (2022-2023).
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Teaching assistant for the course MTH 301 (Real Analysis) at IIT Kanpur in semester II (2022-2023).
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Teaching Abstract Algebra for BSc and MSc students at VSSD College, Kanpur (March 2023-April 2024).
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Teaching assistant for the courses MTH-111 and MTH112 (Calculus) at IIT Kanpur in the semester I (2023-2024).
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Teaching assistant for the course MTH 301 (Real Analysis) at IIT Kanpur in semester II (2023-2024).
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Teaching Several Variable Calculus for BSc and MSc students at VSSD College, Kanpur (May 2024-).
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Teaching assistant for the course MTH 301 (Real Analysis) at IIT Kanpur in the semester I (2024-2025).
Workshops and Conferences
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International Workshop on Operator Theory and its Application (IWOTA), Krakow, Poland (September 6-10, 2022)
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Operator Theory and Complex Geometry (OTCG), IISER Kolkata. (November 24 - 26, 2022)
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Operator Theory and Operator Algebra (OTOA), IIT Gandhinagar. (March 06-11, 2023)
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Function Spaces, Operator Theory and Operator Algebras, BITS Goa. (June 12-July 1, 2023)
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International Workshop on Operator Theory and Its Applications (IWOTA), Helsinki, Finland (31st July-4th Sep 2023)
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38th Annual Conference of the Ramanujan Mathematical Society (RMS 2023), IIT Guwahati, India (Dec 22-24, 2023)
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Annual Departmental Open House 2024, IIT Kanpur, (Mar 03, 2024)
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Operator Analysis: A renaissance (2024), Gandhinagar, (Jul 26-27, 2024)
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Noncommutative Mathematics and Applications (NCMA), ISI Bangalore, (Oct 24-26, 2024)
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Annual Departmental Open House 2025, IIT Kanpur, (Feb 09, 2025)
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Hilbert Function Spaces 2025, Frascati, Italy, (Jun 30-Jul 4, 2025)
Collaborators
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Prof. Sameer Chavan, IIT Kanpur
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Prof. Soumitra Ghara, IIT Kharagpur
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Dr. Shubham Jain, ISI Bangalore
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Dr. Shanola S. Sequeira, IIT Kanpur
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Amritha K S, IIT Kanpur



