I am currently a postdoctoral fellow at the University of Pennsylvania.
I received my PhD. from the University of Pennsylvania in spring 2014, and my BA in mathematics from Harvard in spring 2009.
My mathematical research interests are in representation theory and algebraic Lie theory, currently looking at combinatorial structures related to the representations of simple Lie groups. I am also interested in differential geometry and mathematical physics.
More details are available on my page on research.
Outside of mathematics, I have interests in computer science, cryptography, linguistics, and physics. In my spare time I also enjoy making electronic music and playing with Rubik's Cubes. More details are available on my page on interests.
In the past I have been TA for classes in algebra, topology, and differential geometry at UPenn, and an undergraduate course assistant in calculus, real analysis and dynamical systems at Harvard University.
More details are available on my page on teaching.
Department of Mathematics
University of Pennsylvania
209 South 33rd Street
Philadelphia, PA 19104
mtai(AT)math . upenn.edu