Research
Research Interests
My main research interests are in mathematical programming and continuous optimization. In my thesis research, I study the convergence properties of a new interior-point algorithm for linear and semidefinite programming.
More broadly, I am interested in applying optimization and computational methods to problems that arise from real applications and from other disciplines.
Technical Reports
- A quadratic cone relaxation-based algorithm for linear programming, Dissertation, Cornell University, August 2014. Advised by James Renegar
- Towards a proof of Mansour's conjecture on the Fourier analysis of boolean functions, Technical Report, Microsoft Research, Bangalore, India, August 2008. Advised by Satya Lokam.
- Sperner's Lemma implies Kakutani's Fixed Point Theorem, Senior Thesis, Harvey Mudd College, May 2008. Advised by Francis Su.
- A cubical antipodal theorem, Claremont REU, August 2007. With Kyle Kinneberg, Aaron Mazel-Gee, and Francis Su.