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Purnata Ghosal

I am currently a sixth year PhD Scholar at IIT Madras. My advisor is B. V. Raghavendra Rao. I am a part of the Algorithms and Complexity Theory group. My research interests include studying classical and parameterized complexity of arithmetic circuits and small classes of boolean functions.
Please find my detailed resume here.

Contact Me

  • e-mail : purnata [at] cse.iitm.ac.in
  • Address: BSB 335, Algorithms and Complexity Theory Lab,
    Department of Computer Science and Engineering,
    IIT Madras, Chennai-600036, India.

Publications

  1. "A note on parameterized polynomial identity testing using hitting set generators", Purnata Ghosal, B. V. Raghavendra Rao, Inf. Process. Lett. vol. 151 (2019). View here.

  2. "On Proving Parameterized Size Lower Bounds for Multilinear Algebraic Models", Purnata Ghosal, B. V. Raghavendra Rao, COCOON 2019. View here.

  3. "On Constant Depth Circuits Parameterized by Degree: Identity Testing and Depth Reduction", Purnata Ghosal, Om Prakash, B. V. Raghavendra Rao, COCOON 2017. View full version here.

Talks

Aug 2019 : Lower Bounds for sums of powers of low degree univariates
Authors: Neeraj Kayal, Pascal Koiran, Timothée Pecatte, Chandan Saha. Presented the paper as a Complexity Theory Meet (Cotmeet) seminar at IIT Madras.

Mar 2019 : Parameterized Lower Bounds on Multilinear Algebraic Models
Authors: Purnata Ghosal, B. V. Raghavendra Rao. Presented at the Workshop on Algebraic Complexity Theory (WACT) 2019.

Jan 2019 : Parameterized Lower Bounds on Multilinear Algebraic Models
Authors: Purnata Ghosal, B. V. Raghavendra Rao. Presented as a Complexity Seminar at University of Saarland.

Aug 2018 : Separating Monotone VP and VNP
Author: Amir Yehudayoff. Presented the paper as a Complexity Theory Meet (Cotmeet) seminar at IIT Madras.

Jul 2017 : Constant Depth Circuits Parameterized by Degree: Identity Testing and Depth Reduction
Authors: Purnata Ghosal, Om Prakash, B.V Raghavendra Rao. Presented at a Theory Meet (tmeet) Seminar.

Mar 2016 : On Derandomizing Algorithms that Err Extremely Rarely
Authors: Oded Goldreich, Avi Wigderson. Presented at a Complexity Theory Meet (Cotmeet) seminar, organised by the Complexity Theory group at IIT Madras.

Oct 2015 : Inherent Logic and Complexity
Author: Stanislav Zak. Presented at a Complexity Theory Meet (Cotmeet) seminar, organised by the Complexity Theory group at IIT Madras.

May 2015 : Infeasibility of Instance Compression and Succinct PCPs for NP
Authors: Lance Fortnow, Rahul Santhanam. Presented the paper as a part of the Course Project for Advanced Complexity Theory.

May 2015 : Complexity of Computational Problems in Coding Theory
Authors: Downey, Fellows, Vardi. Presented the paper The Parameterized Complexity of some fundamental problems in Coding Theory by Downey, Fellows, and Vardi along with the classical complexity of some of the problems in the aforementioned paper, as a part of the Course Project for Modern Techniques in Theory of Computation.

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