E-mail address: (my first name) dot math at gmail
Currently I am a postdoctoral research fellow at KIAS.
I obtained my Ph.D. degree from Stanford in 2015. My adviser was Akshay Venkatesh.
I will be moving to University of Cincinnati in August 2018.
Learning seminar on Vatsal click here
I study lattice problems — e.g. sphere packing, lattice reduction — using tools from number theory.
I am trying to work on analogous problems from homogeneous dynamics as well.
On the other hand, my first thesis problem was on harmonic weak Maass forms and the Borcherds lift; I hope to come back to these at some point.
A stochastic sandpile model that "recognizes" boundaries, in preparation.
The RHF of LLL and stochastic sandpile models (with Jintai Ding, Yuntao Wang, and Tsuyoshi Takagi), preprint.
LLL via the Lenstra graph (with Miran Kim and Jinsu Kim), preprint.
Random lattice vectors in a set of size O(n), IMRN, rny060.
The behavior of random reduced bases (with Akshay Venkatesh), IMRN, rnx074.
On the distribution of lengths of short vectors in a random lattice, Math. Z. 282(3), 1117-1126
A sketch of the construction of the Borcherds lift
Bachelor thesis (I give an "easy" proof of Roth's theorem here)