My research interest is random Schrödinger operators.
Publication
(with Naveen Kumar) CLT for the trace functional of the IDS of magnetic random Schrödinger operator
arXiv:2511.14448 (2025).
Central limit theorem for the random variables associated with the IDS of the Anderson model on lattice
Reviews in Mathematical Physics, Accepted, 2026.
(with Naveen Kumar) Continuity of higher-order derivatives for integrated density of states of the discrete Anderson model with respect to the disorder parameter
Proceedings of the American Mathematical Society, Accepted, 2026.
(with M. Krishna) Smoothness of integrated density of states of the Anderson model on Bethe lattice in high disorder
Journal of Statistical Physics, 190(5), article 103 (2023).
(with Anish Mallick) A theorem on the multiplicity of the singular spectrum of a general Anderson-type Hamiltonian
Journal of Spectral Theory, 11(4), 1953–1985 (2021).
The IDS and asymptotic of the largest eigenvalue of random Schrödinger operators with decaying random potential
Reviews in Mathematical Physics, 33(8), 2150026 (2021).
(with M. Krishna and Anish Mallick) Regularity of the density of states of random Schrödinger operators
Communications in Mathematical Physics, 378(1), 299–328 (2020).
(with Anish Mallick) Spectral statistics of random Schrödinger operators with growing potentials
Mathematische Nachrichten, 292(9), 2048–2071 (2019).
(with Anish Mallick) Spectral statistics for one dimensional Anderson model with unbounded but decaying potential
Infinite Dimensional Analysis, Quantum Probability and Related Topics, 22(2), 1950012 (2019).
(with Anish Mallick) Eigenfunction statistics for Anderson model with Hölder continuous single site potential
Proceedings of the Indian Academy of Sciences — Mathematical Sciences, 126(4), 577–589 (2016).
Some estimates regarding integrated density of states for random Schrödinger operator with decaying random potentials
Operator Theory: Advances and Applications, 254, 119–132 (2016).
(with M. Krishna) Poisson statistics for Anderson model with singular randomness
Journal of the Ramanujan Mathematical Society, 30(3), 251–266 (2015).
(with M. Krishna) Level repulsion for a class of decaying random potentials
Markov Processes and Related Fields, 21(3), 449–462 (2015).