Assistant Professor

Dr Arpita Nayek

Department of Mathematics

Interests

  1. Algebraic Geometry
  2. Representation theory
  3. Lie algebra

Education

2012

Lady Brabourne College
BSc

2014

IIT Madras
MSc

2019

IIT Kanpur
PhD

Experience

  • April, 2022 – June, 2023, Postdoctoral fellow – IIT Bombay
  • January, 2020 – March, 2022, Postdoctoral fellow – Chennai Mathematical Insitute
  • September, 2019 – December, 2019, Visiting fellow – Chennai Mathematical Institute

Research Interest

  • Algebraic Geometry, especially Geometric Invariant Theory
  • Lie Algebra and Representation Theory
  • Algebraic Combinatorics

Awards & Fellowships

  • 2020-2021, Swiss Goverment Excellence Scholarship for Foreign Scholars and Artists (Postdoctoral scholarship) (not availed)
  • 2019, SIAM Student Travel Award to attend the 2019 SIAM Conference on Applied Algebraic Geometry held at the University of Bern in Bern, Switzerland during July 9-13.
  • 2015, CSIR (Council of Scientific and Industrial Research) Research Fellowship.
  • 2014, GATE.
  • 2011-2012, Institute Merit Scholarship, IIT Madras

Publications

  • S. Senthamarai Kannan, Arpita Nayek, and Pinakinath Saha, "Torus quotients of Schubert varieties in the Grassmannian $G_{2,n}$," Indian J. Pure Appl Math 53 (2022), no. 1, 273--293.
  • Arpita Nayek, Pinakinath Saha, "Torus quotient of the Grassmannian $G_{n,2n}$", to appear in C. R. Math. Acad. Sci. Paris, arXiv:2111.00802.
  • Torus Quotient of Richardson Varieties in Orthogonal and Symplectic Grassmannians, Arpita Nayek, Santosha Kumar Pattanayak, Journal of Algebra and Its Applications, Volume 19, No. 10, 2050186, 24 pp. (2020).
  • Projective normality of Torus quotients of Flag varieties, Arpita Nayek, S. K. Pattanayak, Shivang Jindal, Journal of Pure and Applied Algebra, Volume 224, Issue 10, 106389, 25 pp. (2020).

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