## Faculty at School of Natural Sciences

### Sneh Lata

Associate Professor

##### Contact Information

- Email: sneh.lata@snu.edu.in
- Number: 91-120-7170100
- Number: Ext 256

Operator Theory, Function Theory, and Frame Theory

**PhD,**University of Houston, 2010**MS,**University of Houston, 2006**MSc,**University of Delhi, 2004**BSc,**University of Delhi, 2002

Analysis

- I
*nvariant subspaces of powers of some unicellular operators*, accepted in NYJM, 2023. (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)

*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 (2017- 2022). Thesis title: Invariant subspaces associated with near-isometries and unicellular operators.
- Arshad Khan (ongoing).
- Jaikishan (ongoing).

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