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Academic Experts
Academic Experts
Dr. Arpita Nayek
Assistant Professor (Grade II)
arpita.nayek@jiit.ac.in
Biography

I am currently serving as an Assistant Professor of Mathematics at the Jaypee Institute of Information Technology, Noida, India. I received my Ph.D. in Mathematics from the Indian Institute of Technology Kanpur in 2020. Prior to that, I completed my M.Sc. in Mathematics from the Indian Institute of Technology Madras and my B.Sc. in Mathematics (Honours) from Lady Brabourne College, University of Calcutta.

After completing my doctoral degree, I held postdoctoral positions at the Chennai Mathematical Institute (January 2020–March 2022) and subsequently at the Indian Institute of Technology Bombay (March 2022–June 2023). These experiences provided me the  opportunities for collaboration with experts in my research field.

My research interest lies in Algebraic Geometry. I have published several research papers in internationally recognized journals, and I continue to work on problems involving torus quotients of homogeneous spaces and related geometric structures. Alongside research, I have been actively involved in teaching a broad range of undergraduate and postgraduate courses.

Research Highlights

My research interest involves in algebraic geometry and algebraic combinatorics. More specifically, I am interested in toric varieties and partial flag varieties and certain combinatorics involving Young tableaux, symmetric functions, Schubert polynomials. I am working on the problems related to the Geometric Invariant Theoretic (GIT) quotients of the partial flag varieties for the action of a maximal torus.

Areas Of Interest
  • Algebraic geometry, Lie algebra, Representation theory, Algebraic combinatorics.
Publications

1. Arpita Nayek, S. K. Pattanayak, Shivang Jindal, "Projective normality of Torus quotients of Flag varieties", Journal of Pure and Applied Algebra, Volume 224, 2020. 
https://doi.org/10.1016/j.jpaa.2020.106389

2. Arpita Nayek, Pinakinath Saha, "Torus quotient of the Grassmannian $G_{n,2n}$", C. R. Math. Acad. Sci. Paris, Volume 361, 2023.
https://doi.org/10.5802/crmath.501

3. S. Senthamarai Kannan, Arpita Nayek, "Torus quotients of Richardson varieties in $G_{r,qr+1}$", Proceedings-Mathematical Sciences, Volume 133, 2023.
https://doi.org/10.1007/s12044-023-00766-y

4. Arpita Nayek, Santosha Kumar Pattanayak, "Torus Quotient of Richardson Varieties in Orthogonal and Symplectic Grassmannians", Journal of Algebra and Its Applications, Volume 19, 2020. 
https://doi.org/10.1142/S0219498820501868

5. Somnath Dake, Shripad Garge, and Arpita Nayek, "Torus quotients of Richardson varieties
in minimal dimensional Schubert varieties", Journal of Commutative Algebra, 2024.