Shayan Oveis GharanAssociate Professor
Computer Science and Engineering
University of Washington
A short bio and my CV
I am mainly interested in the design and analysis of algorithms using algebraic techniques.
In Spring 2019 I co-organized a semester long program on Geometry of Polynomials. Here is a research vignette about my works on Log-concave polynomials with connections to the Geometry of Polynomials program.
A. Karlin, N. Klein, S. Oveis Gharan, A (Slightly) Improved Approximation Algorithm for Metric TSP, 2020.
N. Anari, K. Liu, S. Oveis Gharan, Spectral Independence in High-Dimensional Expanders and Applications to the Hardcore Model, FOCS 2020, invited to special issue.
A. Karlin, N. Klein, S. Oveis Gharan, An Improved Approximation Algorithm for TSP in the Half Integral Case, STOC 2020.
N. Anari, K. Liu, S. Oveis Gharan, C. Vinzant, Log-Concave Polynomials III: Mason's Ultra-Log-Concavity Conjecture for Independent Sets of Matroids, submitted, 2018.
N. Anari, K. Liu, S. Oveis Gharan, C. Vinzant, Log-Concave Polynomials II: High-Dimensional Walks and an FPRAS for Counting Bases of a Matroid, STOC 2019.
N. Anari, S. Oveis Gharan, C. Vinzant, Log-Concave Polynomials I: Entropy and a Deterministic Approximation Algorithm for Counting Bases of Matroids, FOCS 2018.
A. Karlin, S. Oveis Gharan, R. Weber, A Simply Exponential Upper Bound on the Maximum Number of Stable Matchings, STOC 2017.
N. Anari, S. Oveis Gharan, Effective-Resistance-Reducing Flows, Spectrally Thin Trees, and Asymmetric TSP. See also our recent extension of the proof of Kadison-Singer conjecture by Marcus, Spielman, and Srivastava. See this note for a somewhat short exposition of the ideas. Also, here are short and long presentations of the ideas of the paper. See here for a nice article by Dana Mackenzie about this article.
S. Oveis Gharan, New Rounding Techniques for the Design and Analysis of Approximation Algorithms , PhD thesis, Stanford 2013, ACM Doctoral Dissertation Award Honorable Mention.
S. Oveis Gharan, A. Saberi, M. Singh, A Randomized Rounding Approach to the Traveling Salesman Problem. , FOCS 2011, best paper award.
J. R. Lee, S. Oveis Gharan, L. Trevisan, Multi-way spectral partitioning and higher-order Cheeger inequalities , STOC 2012, JACM 2014.
A. Asadpour, A. Madry, M. Goemans, S. Oveis Gharan, A. Saberi, An O(log n/ log log n)-approximation Algorithm for the Asymmetric Traveling Salesman Problem , SODA 2010, best paper award.See here for a full list of my publications.
Students / Mentee: