• Sparse bounds for various spherical maximal functions 

      Hait, Sourav
      Harmonic analysis mainly deals with the qualitative and quantitative properties of functions and transforms of those functions. It has applications in various areas of Mathematics like PDE, Differential geometry, Ergodic ...
    • Total variation cutoff for random walks on some finite groups 

      Ghosh, Subhajit
      This thesis studies mixing times for three random walk models. Specifically, these are random walks on the alternating group, the group of signed permutations and the complete monomial group. The details for the models are ...
    • Trace Estimate For The Determinant Operator And K- Homogeneous Operators 

      Pramanick, Paramita
      Let $\boldsymbol T=(T_1, \ldots , T_d)$ be a $d$- tuple of commuting operators on a Hilbert space $\mathcal H$. Assume that $\boldsymbol T$ is hyponormal, that is, $\big [\!\!\big [ \boldsymbol T^*, \boldsymbol T \big ]\!\! ...