• Weighted and unweighted composition operators close to isometries, Mediterr. J. Math. (2024). (Joint work with Jatin Anand and Sachi Srivastava)

• Multiplicativity of linear functionals on function spaces on an open disc, Archiv der Mathematik 23 (2024), 65-74. (Joint work with Jaikishan and Dinesh Singh)

• Invariant subspaces of powers of some unicellular operators, New York Journal of Mathematics 29 (2023), 231-260. (Joint work with Sushant Pokhriyal and Dinesh Singh)

• Multivariable Sub-Hardy Hilbert Spaces Invariant under the action of n-tuple of Finite Blaschke factors, J. of Math. Anal. and Appl. 512 (2022). (Joint work with Sushant Pokhriyal and Dinesh Singh)

• Bohr's inequality for non-commutative Hardy spaces, Proc. Amer. Math. Soc. 150 (2022), 201-211. (Joint work with Dinesh Singh)

• A Class of Sub-Hardy Hilbert Spaces Associated with Weighted Shifts, Houston Journal of Mathematics. 44 (2018), 301-308. (Joint work with Dinesh Singh)

• Admissible Fundamental Operators, J. of Math. Anal. and Appl. 425 (2015), 983-1003. (Joint work with Tirthankar Bhattacharyya and Haripada Sau)

• The Feichtinger Conjecture and Reproducing Kernel Hilbert Spaces, Indiana Univ. Math. J.  60 (2011), 1303-1318. (Joint work with Vern Paulsen)

• The Feichtinger Conjecture and Reproducing Kernel Hilbert spaces, Ph. D. Thesis, Univ. Of Houston, 2010.

• A Finite Multiplicity Helson-Lowdenslager-De Branges Theorem, Studia Math. 200 (2010), 247-266. (Joint work with Meghna Mittal and Dinesh Singh)

• An Operator Algebraic Proof of Agler's Factorization Theorem, Proc. Amer. Math. Soc. 137 (2009), no. 11, 3741-3748. (Joint work with Meghna Mittal and Vern Paulsen)

• Invariant subspaces of near-isometries, 4th Annual Conference on Algebra, Analysis and Applications, Ambedkar University Delhi, Dec. 2023
• Multivariable Sub-Hardy Hilbert Spaces Invariant under the action of n-tuple of Finite Blaschke factors, 37th Annual Conference of the Ramanujan Mathematical Society, SSN College of Engineering, 2022.
• A class of sub-Hardy Hilbert Spaces Associated with Weighted Shifts, Recent advances in Operator Theory and Operator Algebras, ISI Bangalore, Dec. 2018.
• Admissible Fundamental Operators, Annual Conference of Indian Women and Mathematics (IWM), Uni. of Hyderabad, June 2016.
• An Operator Algebraic Proof of Agler's Factorization Theorem, Concentration Week in Multivariable Operator Theory, TAMU, July 2008.
• An Operator Algebraic Proof of Agler's Factorization Theorem, Great Plains Operator Theory Symposium (GPOTS), University of Cincinnati, June 2008.

• PI: Investigating a class of certain Hilbert spaces and their connection to frame theory, 2018-2021. This project was supported by the grant MATRICS (SERB, DST).

Sushant Pokhriyal (completed) - Thesis title: Invariant subspaces associated with near-isometries and unicellular operators.
Currently, a PDF at the University of South Florida.

• Arshad Khan (ongoing): Research topic: Nearly invariant subspaces.
• Jaikishan (ongoing): Research topic: Linear functionals on function spaces.
• Santosh Singh Negi (ongoing): Research Topic: Functional Analysis.
• Dushyant Kumar Sengar (ongoing): Research Topic: Functional Analysis.

• August 2016 – present: Graduate Advisor & Chair of the Department Graduate Committee.
• Member of the PhD admission committee, department space committee, and department budget committee.