kousik.mat | Indian Institute of Technology (BHU)

Dr. Kousik Dhara

Assistant Professor

Department of Mathematical Sciences, IIT BHU

Phone No(s): .

Email: kousik.mat@iitbhu.ac.in

Area of Interest: Functional Analysis, Operator Theory, Complex Analysis

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Present Position: Assistant Professor, Department of Mathematical Sciences, Indian Institute of Technology (BHU) Varanasi, 23 July 2025 - Present.

Past Positions:

Assitant Professor (Jan 5, 2024 to July 22, 2025): Indian Institute of Technology Jammu
Inspire Faculty Fellow (Sept 1, 2023 to Jan 4, 2024): Indian Institute of Science (IISc), Bangalore (Mentor: Prof Tirthankar Bhattacharyya)
Postdoctoral Fellow (Dec 18, 2021 to Aug 31, 2023): Weizmann Institute of Science, Israel (Mentor: Prof. Harry Dym)
Postdoctoral Fellow (Oct 8, 2021 to Dec 17, 2021): Indian Institute of Science and Education Research (IISER) Pune (Mentor: Dr. Haripada Sau)
Visiting Researcher (July 1, 2021 to Sept 30, 2021): Indian Institute of Science, Bangalore (Host: Dr. Srijan Sarkar)
Visiting Scientist (October 1, 2019 to June 30, 2021): Indian Statistical Institute, Bangalore Centre (Mentor: Prof. Jaydeb Sarkar)

Education:

• Indian Institute of Technology Madras, Chennai (2014-2019), Ph.D. in Mathematics

Thesis Title: A systematic study of the (n, ε)-pseudospectrum of an element of a Banach algebra

Advisor: Prof. S. H. Kulkarni

• Indian Institute of Technology Madras, Chennai (2012-2014), M. Sc. in Mathematics

• St. Xavier’s College (Autonomous), Kolkata (2009-2012), B. Sc. with Mathematics (Honours)

Toeplitz, Hankel, de Branges and two truncated matrix moment problems (with Harry Dym), Integral Equations Operator Theory 97 (2025), no. 3, Paper No. 24.
A Bishop-Phelps-Bollobás theorem for bounded analytic functions (with Neeru Bala, Jaydeb Sarkar and Aryaman Sensarma), Journal of Functional Analysis, 284(2023), No. 6, Paper No. 109834 (20 pages).
Norms of basic operators in vector valued model spaces and de Branges spaces (with Harry Dym), Integral Equations and Operator Theory, 94 (2022), No. 4, Paper No. 41.
Pseudo S-spectra of special operators in quaternionic Hilbert spaces (with Santhosh Kumar Pamula), Linear Algebra and its Applications, 656(2023), pp. 345-367.
Idempotent, model, and Toeplitz operators attaining their norms (with Neeru Bala, Jaydeb Sarkar, and Aryaman Sensarma), Linear Algebra and Its Applications, 622 (2021), pp. 150-165.
Decomposition of the (n,ε)-pseudospectrum of an element of a Banach algebra (with S. H. Kulkarni), Advances in Operator Theory, 5(2020), No. 1, pp. 248-260.
Continuity of the (n, ε)-pseudospectrum in Banach algebras (with S. H. Kulkarni and Markus Seidel), Integral Equations and Operator Theory, 91(2019), No. 4, Art. 32, 17 pp.
The (n, ε)-pseudospectrum of an element of a Banach algebra (with S. H. Kulkarni), Journal of Mathematical Analysis and Applications, 464 (2018), No. 1, pp. 939-954.

Teaching at IIT (BHU) Varanasi:

MA-101 : Engineering Mathematics-I (Instructor, Autumn 2025)

Teaching at IIT Jammu:

MA-210-(TO): Probability and Stochastic Process (with Nitin Kumar) (Course-Coordinator, Spring 2025)
MA-101-TO: Calculus (Instructor, Autumn 2024)
MAD040P6E: Functional Analysis for Ph.D. (Course-Coordinator, Autumn 2024)
MAD001P6E: Advanced Linear Algebra for Ph.D. (Course-Coordinator, Spring 2024)

Teaching Assistant :

Weizmann Institute of Science: Basic Courses 2 (2022)

IIT Madras:

• MA1101: Functions of Several Variables (July- Nov 2015, July-Nov 2016, July-Nov 2017)

• MA2040: Probability, Statistics and Stochastic Processes (Jan-May 2016)

• MA2031: Linear Algebra for Engineers (Jan-May 2017)

Other Activities:

TA for NPTEL Course ``Measure Theory'', July- Oct 2021.
TA for AFS-I (online mode), Nov 2021- Jan 2022.
TA for TEW (online mode), Jan 17, 2022 to Feb 5, 2022