Anil Karn

Anupam Pal Choudhury

Binod Kumar Sahoo

Incidence Geometry

Brundaban Sahu

Supercongruences:  The numbers which occur in Ap\'{e}ry's  proof of the irrationality of  zeta(2) and zeta(3)  have many interesting congruence properties.Work started with F.Beukers and D. Zagier,  then extended by G. Almkvist, W. Zudilin and S. Cooper recently has complemented the Ap\'{e}ry numbers with set of sequences know as Ap\'{e}ry-like numbers which share many of the remarkable properties of the Ap\'{e}ry numbers. We study supercongruences properties  of Ap\'{e}ry-like numbers. 

Differential Operators: There are many interesting connections between differential operates and modular forms. Using Rankin-Cohen type differential operators on Jacobi forms/ Siegel modular forms we study certain arithmetic of Fourier coefficients. 

Convolution sums and applications: We compute convolution sums of divisor function using the theory of modular forms and quasi modular forms and apply those to find number of representations of an integer by certain quadratic forms. 

Representations of numbers by quadartic forms: We find number of representations of an integer by certain quadratic forms by computing modular forms/ theta series.

Chitrabhanu Chaudhuri

Moduli of Curves, Teichmuller Theory

Deepak Kumar Dalai

Symmetric ciphers, Algebraic Attack, Boolean Functions, Combinatorics.

Dinesh Kumar Keshari

Jaban Meher

K Senthil Kumar

Transcendental number theory, Modular forms and Multiple zeta values

Kamal Lochan Patra

Combinatorics
Algebraic Graph Theory
Discrete Mathematics

Kaushik Majumder

Krishanu Dan

Manas Ranjan Sahoo

Nabin Kumar Jana

Disordered systems pops up quite often in physics (spin glass), biology (artificial neural network), social sciences (matching) and many other places. To analyze, usually these systems are identified with the stochastic models. My user research interest is on the application of probabilistic tools to analyze these stochastic models.

Panchugopal Bikram

My Primary research areas are functional analysis and Ergodic Theory. My central research area is operator algebra and it evolves around operator algebra. I study one parameter family of endomorphisms on von Neumann algebras.

I also study structure theory of von Neumann algebras, Connes's classifications theory of type III factors and various others property of type III factors and verious dynamical system on von Neumann algebras.

Ramesh Manna

Harmonic Analysis

Rekha Biswal

Representation Theory

Ritwik Mukherjee

Sanjay Parui

I work on Harmonic Analysis on Euclidean Spaces and Heisenberg Groups.

At present my research interest is Spherical harmonics, Hermite and Laguere expansion and Dunkl Transform.

Sudhir Kumar Pujahari

Sumana Hatui

Sutanu Roy

Ordinary and braided quantum groups in the C*-algebraic setting, ordinary and braided quantum symmetries of (classical and quantum) spaces.

Tushar Kanta Naik

1. Finite group theory: Classification of finite p-groups, Influence of conjugacy class sizes on the structure of finite groups, Automorphisms of finite groups, Word maps defined on groups, Graphs associated with groups.
2. Combinatorial group theory / Low dimensional topology: Coxeter groups and Artin groups, Braid groups, Planar braid groups, their virtual analogous and pure subgroups.
3. (Nilpotent) Lie algebra: Classification of finite dimensional nilpotent Lie algebras, Camina Lie algebras, Breadth of a Lie algebra.