Jay Mardia

About Me:

I am a PhD student in Electrical Engineering at Stanford University [since September 2017] and am grateful to be supported by a Stanford Graduate Fellowship [2017-2020].

I am advised by Tsachy (Itschak) Weissman and Greg Valiant.

I have also had the singular pleasure of working with Mary Wootters.

Before this, I received a B. Tech in EE from IIT-Bombay [also in 2017].

I was extremely lucky to spend summer 2016 at MIT in Anantha Chandrakasan's lab during which I mostly studied the feasibility of designing efficient hardware for bilinear pairings over elliptic curves.

Interests:

I am broadly interested in the fields of high-dimensional statistics and information theory, and mostly just enjoy thinking about applied math-y puzzles in the context of algorithmic and information-theoretic problems.

Here are some other things I like doing in my spare time.

Pre-prints:

  • Concentration Inequalities for the Empirical Distribution - Jay Mardia, Jiantao Jiao, Ervin T√°nczos, Robert D. Nowak, Tsachy Weissman

[arxiv]

Journal Publications:

  • Repairing Multiple Failures for Scalar MDS Codes - Jay Mardia, Burak Bartan, Mary Wootters

[arxiv] [IEEE Transactions on Information Theory (2018)] (This paper is part of a line of work that is excellently presented in this talk by Mary Wootters)

Course Projects:

  • Implementation and analysis of stabilizer codes in pyQuil - Shubham Chandak, Jay Mardia, Meltem Tolunay

[code] (Spring 2019, CS269Q)

Stabilizer codes form a large family of quantum error correcting codes that includes well-known codes such as Shor code, Steane code, CSS codes and toric codes. In this work, we build a framework for encoding and decoding of general stabilizer codes on pyQuil and test specific single qubit codes with standard quantum noise models.

Professional Activities:

Reviewer: IEEE Communications Letters, ISIT 2019, IEEE Transactions on Information Theory, ISIT 2018

Contact: jmardia [at] stanford [dot] edu [?]