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. I was a Semester Postdoc Fellow at ICERM, Brown University, USA during September - December 2018 worked under the supervision of Prof. Jonathan Hauenstein. I worked as a Microsoft Research Fellow (Simons-Berkeley Fellowship) in Simons Institute for the Theory of Computing, University of California Berkeley under the mentorship of Prof. Alistair Sinclair.

At present I am a postdoc fellow in the Department of Mathematics, University of Missouri, working under the supervision of Prof. Dan Edidin.

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

Software package:

Justin Chen and Papri Dey. DeterminantalRepresentations: A Macaulay2 package

219 Math Sciences Building

810 East Rollins Street

Columbia, MO 65211 , USA

Email: yedirpap@gmail.com or pdbdn@missouri.edu