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School of Mathematical Sciences
राष्ट्रीय विज्ञान शिक्षा एवंअनुसंधान संस्थान
National Institute of Science Education and Research

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  2. Research Areas

Research Areas

Anil Karn

Order structure in normed spaces and operator spaces (matricially normed spaces); 
Theory of operator ideals (Geometry of Banach Spaces).

Anupam Pal Choudhury

Partial differential equations of evolution type, Inverse problems

Binod Kumar Sahoo

Incidence Geometry, Groups, Algebraic Combinatorics

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

Specialisation: Theoretical Computer Sciences, Coding Theory, Cryptology, Discrete Mathematics.

Present Research Interests: Symmetric ciphers, Algebraic Attack, Boolean Functions, Combinatorics.

Dinesh Kumar Keshari

Cowen-Douglas Class of operators, Hilbert modules over function algebra and Dilation theory. 

Jaban Meher

Modular forms, L-functions

K. Senthil Kumar

Transcendental number theory, Modular forms and Multiple zeta values

Kamal Lochan Patra

Combinatorics, Algebraic Graph Theory

Kaushik Majumder

Intersecting Families, Hypergraphs, Graph Theory, Applications of Szemer\'{e}di Regularity Lemma, Applications of analysis and probability theory to combinatorics, Probabilistic methods in combinatorics, Random graphs.

Krishanu Dan

Moduli space of bundles over curves and surfaces, Linear Series.

Manas Ranjan Sahoo

Partial Differential Equations

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 main 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

Ritabrata Munshi
Ritwik Mukherjee

Enumerative geometry of singular curves, using methods from Differential Topology.  

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 Pujahari

Probabilistic and Analytic Number Theory.

Sutanu Roy

Topological Quantum Groups, Noncommutative Geometry,  Operator Algebras.

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Recent blog posts

Noncommutative Geometry and its Applications (NCG@NISER2020)
Purna Chandra Das : A Prosaic Ode to his Exceptional Life
Best paper award at SENSORNETS 2017 for Deepak Kumar Dalai

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School of Mathematical Sciences

NISER, PO- Bhimpur-Padanpur, Via- Jatni, District- Khurda, Odisha, India, PIN- 752050

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