I am interested in mathematics that has applications in computer science.
In 2009, I worked with Kang Zhang at UT-Dallas to explore how modern computing technology could be used to generate aesthetic forms of abstract art. Paintings in the style of Kandinsky were generated in a randomized autonomous manner by extracting certain general rules from his works.
In 2010, I worked with Rudiger Dieckmann at Cornell in studying the solubility and diffusivity of water in different formulations of iron-free and iron-containing aluminosilicate family glasses.
In 2011, I worked with Jorge Balbas and Thaddeus Ladd through the RIPS program in developing an algorithm to create holograms to sort incident Gaussian light waves into arbitrary scattering patterns. I also worked with Murat Kantarcioglu at UT-Dallas to investigate the feasibility of a relaxed version of Gentry's fully homomorphic encryption and showed how to perform an efficient search over encrypted data using this relaxed scheme.
Most recently, in 2012, I was an intern at Microsoft and worked with the OData team to develop the URI parser for WCF Data Services, the .NET implementation of the OData protocol.
