I am currently a postdoc in the theory group at EPFL. I recently completed my Ph.D. at the Department of
Computer Science, Princeton
University, advised by
Moses Charikar.
Before Princeton, I spent four wonderful years as an undergraduate at the
Indian Institute of Technology, Bombay,
where I received my B.Tech. degree in Computer Science.
Research
I am broadly interested in theoretical computer science. More specifically, I am interested in approximation algorithms, spectral methods, and applications of probability and convex geometry to computational problems.
Here is a copy of my dissertation, titled "Finding Dense Structures in Graphs and Matrices".
Approximation Algorithms
Detecting High Log-densities -- An O(n^{1/4}) Approximation for Densest k-Subgraph
[pdf][arXiv]
(STOC 2010) (with Moses Charikar, Eden Chlamtac, Uriel Feige and Aravindan Vijayaraghavan)
Polynomial Integrality gaps for Strong relaxations of Densest k-subgraph
[pdf][arXiv]
(SODA 2012) (with Moses Charikar, Venkatesan Guruswami, Aravindan Vijayaraghavan, and Yuan Zhou)
Approximating Matrix p-norms
[pdf][arXiv]
(SODA 2011) (with Aravindan Vijayaraghavan)
On Quadratic Programming with a Ratio Objective
[pdf][arXiv]
(ICALP 2012) (with Moses Charikar, Rajsekar Manokaran and Aravindan Vijayaraghavan)
Minimum Makespan Scheduling with Low Rank Processing Times
[pdf]
(SODA 2013) (with Ravishankar Krishnaswamy, Kunal Talwar and Udi Wieder)
Others
Unconditional Differentially Private Mechanisms for Linear Queries
[pdf]
(STOC 2012) (with Daniel Dadush, Ravishankar Krishnaswamy and Kunal Talwar)
Optimal Hitting Sets for Combinatorial Shapes
[pdf] [arXiv]
(RANDOM 2012) (with Devendra Desai and Srikanth Srinivasan)
Eigenvectors of Random Graphs: Delocalization and Nodal Domains
[draft]
(In submission) (with Sanjeev Arora)
Moment-based Concentration Bounds for Euclidean Optimization Problems
(Manuscript, 2011) (with Ravi Kannan)
A note on the Lovasz theta number of random graphs
[pdf]
(Informal note, 2011) (with Sanjeev Arora)
Packing triangles into a Unit strip
(Undergraduate thesis, 2007) (with Abhiram Ranade)
Links
Intractability
Theory Calendar
Course links
Boaz's Course (Spring 08)
Thinking like a Theorist (Fall 07)
Theorist's Toolkit (long ago)
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