Dr. Niteesh Sahni | Department of Mathematics

Profile

Dr. Niteesh
Sahni
Associate Professor
Department of Mathematics
School of Natural Sciences (SNS)
A111-M
Block-Block A, Shiv Nadar University
Dadri Uttar Pradesh
India
Extn: 
873
Profile Summary 

Dr. Sahni has 15 years of teaching experience in pure and applied mathematics at undergraduate and graduate level. He works in Functional Analysis and Dynamical systems. The highlight of his research has been to settle an open problem in Hardy-Hilbert spaces. Presently, he is involved in solving problems related to invariant subspaces of Bergman spaces, BMOA, and vector valued Hardy spaces.

Educational Qualifications 
2014
Ph.D. (Mathematics)
University of Delhi
2003
M.Phil. (Mathematics)
University pf Delhi
2001
MSc (Mathematics)
University of Delhi
1999
BSc (Honours) Mathematics
Sri Venketeswara College, University of Delhi
Work Experience 
07/21Present
Associate Professor,
Department of Mathematics, School of Natural Sciences, Shiv Nadar University, Delhi-NCR
I currently work here
06/11
06/21
Assistant Professor,
Department of Mathematics, School of Natural Sciences, Shiv Nadar University, Delhi-NCR
10/03
06/11
Senior Lecturer,
Mathematical Sciences Foundation,
New Delhi
Teaching & Research Interests: 

My research interests are: Functional analysis, Operator Theory, Dynamical Systems

Awards(Selected): 
2013

Gave an invited talk on “Invariance in Hardy-Hilbert spaces” at the 100th Indian Science Congress in 2012.

Scholarly Activity

Journal Publications (accepted or published)

Invariance under finite Blaschke factors on BMOA, New York Journal of Math., 23(2017). (with Dinesh Singh and Ajay Kumar)

Invariance under bounded analytic functions: generalizing shifts, New York Journal of Math., 22(2016). (with Dinesh Singh and Ajay Kumar)

Lax-Halmos type theorems in Hp spaces, Houston J. of Math., 41(2)(2015). (with Dinesh Singh)

Multiplication by Monomials on BMOA, Houston Journal of Math., 40(3)(2014). (with Dinesh Singh),

Sub Hilbert Spaces in a Bi-disk, Journal of Pure and Applied Mathematics, 2013.

Invariant Subspaces of Certain Sub-Hilbert Spaces of H2, Proc. Japan Acad., 87, Ser. A (2011). (with Dinesh Singh)

Sub-Hardy Hilbert spaces on the circle and torus, arXiv: 1310.6619 [math.FA]. (with Dinesh Singh and Ajay Kumar)

Chaotic Evolutions in a Modified Coupled Logistic Type Predator-Prey Model, Applied Mathematical Sciences, 2012. (with L.M. Saha)

Measuring Chaos in Some Discrete Nonlinear Systems, IJET, 2012. (with L.M. Saha & T.P. Sharma)