About Me

I'm a Ph.D. student at the School of Computing at the University of Utah. I work with Suresh Venkatasubramanian doing research in algorithms and computational geometry (mostly computational geometry).

Research

My current research interests are currently fairly versatile, but include:

  • Non-Euclidean computational geometry: What that means in practice is that I looked into basic computational-geometric notions that we're accustomed to in Euclidean space and attempted to apply them on general Riemannian manifolds. An example of such manifolds is the well-researched class of hyperbolic spaces. Another, and the space that I'd been most concerned with, is the space of positive-definite matrices; at times it seems like a profane chimera of Euclidean and hyperbolic spaces.
  • Bregman Near Neighbors: This is work that I did with my labmate Amirali Abdullah. Amir is the heart of this work, but essentially it comes down to fast querying of near neighbors under Bregman divergences (a kind of distance measure). This falls more under the computational geometry umbrella.
  • Machine Learning: My work with positive definite matrices has added value to my research into multiple kernel learning with my labmates Parasaran Raman and Avishek Saha.

Short Bio

I earned my B.S. in mathematics from the University of Utah in 1999. I then worked for about 10 years in the software and networking industries writing and fixing code, before deciding to take the plunge into research. I've been a PhD student officially since Fall of 2009.

Links

  • In progress