Faculty at School of Natural Sciences

Sneh Lata

Sneh Lata

Associate Professor

School of Natural Sciences


Contact Information

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

06/11 ? Present Assistant Professor, Department of Mathematics, School of Natural Sciences, Shiv Nadar University, Delhi-NCR

Analysis

2018 ? 2020 SERB Grant (DST) under MATRICS scheme Adjunct Department:?Institute for Innovations & Inventions with Mathematics and IT (IIIMIT)

  • Invariant 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.