Welcome to the web home of Papri Dey

About me

I completed my PhD in June 2017 under the supervision of Prof. Harish K. Pillai in the Department of Electrical Engineering, Indian Institute of Technology (IIT) Bombay. In my PhD thesis, I worked on Determinantal Representations of Multivariate Polynomials that is considered as one of the fundamental problems in Convex Algebraic Geometry. I worked as a guest scientist in Max Planck Institute for Mathematics in the Sciences, Leipzig under the supervision of Prof. Bernd Sturmfels from October 2017 to January 2018, and as a visiting scientist in the R. C. Bose centre for Cryptology and Security, Indian Statistical Institute (ISI), Kolkata under the supervision of the Padma Shri Prof. Bimal K. Roy during March - August, 2018.

At present, I am a Semester Postdoc Fellow at ICERM, Brown University, USA.

Research Interests

  • Convex Algebraic Geometry : Monic Symmetric /Hermitian Determinantal Representations of Polynomials, Characterization of Spectrahedra, feasible sets of Semidefinite Programming, Semidefinite Representation of Convex Sets
  • Optimization over Polynomials and its applications in Control Theory
  • Positive Polynomials, Sum Of Squares Polynomials, Moment Matrices
  • Geometry of Numbers

Publications and Preprints


1022 ICERM, Brown University

121 S Main St, Providence, RI 02903, USA

Email: yedirpap@gmail.com or papri_dey@brown.edu