Publications

Accepted Manuscripts:

• Multiplicity theorem of singular Spectrum for general Anderson-type Hamiltonian, in collaboration with Dhriti Ranjan Dolai (accepted in Journal of Spectal Theory)

• Regularity of the density of states of Random Schrodinger Operators, in collaboration with Krishna Maddaly and Dhriti Ranjan Dolai (accepted in Comm. Mat. Phy.).

• Global multiplicity bounds and Spectral Statistics Random Operators, in collaboration with Krishna Maddaly (accepted in Rev. Mat. Phy.).

• Spectral statistics of random Schrödinger operator with growing potential,in collaboration with Dhriti Ranjan Dolai (accepted in Math. Nachr.)

• On multiplicity of spectrum for Anderson type operators with higher rank perturbations, in collaboration with P. A. Narayanan (accepted in Op. & Mat.)

• Spectral Statistics for one dimensional Anderson model with unbounded but decaying potential, in collaboration with Dhriti Ranjan Dolai (accepted in IDA-QP)

• Multiplicity bound of singular spectrum for higher rank Anderson model, (Jou. of Func. Ana., ISSN 0022-1236, doi:10.1016/j.jfa.2017.02.018) (arXiv:1607.05989)

• Jaksic-Last Theorem for Higher rank Perturbations, (Math. Nachr., 289: 1548–1559. doi:10.1002/mana.201400423)(arXiv:1411.1527)

• Eigenfunction Statistics for Anderson Model with Holder Continuous single site Potential, collaboration with Dhriti Ranjan Dolai (DOLAI, D.R. & MALLICK, A. Proc Math Sci (2016). doi:10.1007/s12044-016-0301-8) (arXiv:1409.7424).

Submitted Manuscripts:

• • Spectral Statistics for one dimensional Anderson Model with unbounded but decaying potential, in collaboration with Dhriti Ranjan Dolai (submitted).

  • Extending Prolog for Quantified Boolean Horn Formulas, in collaboration with Anil Shukla (submitted)