
SANTU BERA
Welcome to my homepage :)
Currently, I am a FARE Fellow (Research Associate) in the Department of Mathematics and Statistics at IIT Kanpur. I completed my PhD in August 2025 under the supervision of Prof. Sameer Chavan.
You are always welcome to contact me at:
santuddd12[at][gmail][dot][com]
santu20[at][iitk][dot][ac][in]
Research Interests
Functional Analysis and Operator Theory.
More precisely, I work on reproducing kernel Hilbert spaces, Dirichlet-type spaces, m-isometric operators, completely hyperexpansive operators, Gleason problem, and proper holomorphic maps.
Publication and preprints
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Dirichlet-type spaces of the unit bidisc and toral completely hyperexpansive operators, submitted to a journal, 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.
Academic background
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Ph.D., Indian Institute of Technology, Kanpur, 2020-2025
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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
Awards and Honors
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Fellowship for Academic and Research Excellence (FARE), IIT Kanpur, Aug’ 25-
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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



