statistics

Hello, UC Davis Math Department! I spent four years at UC Davis and completed my Ph.D. with Thomas Strohmer on applications of Compressive Sensing (CS) in 2009. Due to my previous time spent in industry, I was a non-traditional student. This gave me more focus because I basically knew what I was interested in.  I had experience in electrical engineering and physics, so CS was a good fit for me. (Fun fact: the Math Dept used to be in Kerr Hall. In my second semester we all moved to the newly constructed MSB!)

The last time UC Davis saw me was when graduated in the summer of 2018 with a Ph.D. in Mathematics. My dissertation was in low-dimensional topology under Abby Thompson, focusing on Heegaard splittings of knot complements in the 3-sphere (with additional mentorship of Javier Arsuaga in the application of knot theory to molecular biology, particularly the folding of chromosomes in yeast). Only a few months prior to that, I had accepted an offer to join the faculty at University of the Pacific (UOP) in Stockton, CA, as a tenure-track assistant professor of applied mathematics.

A tensor is a multi-way array of numbers. An order-1 tensor is just a vector $u \in \mathbb{R}^n$. An order-2 tensor is a matrix $M \in \mathbb{R}^{n_1 \times n_2}$. An order-3 tensor is a 3-way array $T \in \mathbb{R}^{n_1 \times n_2 \times n_3}$, and so on.

With the anticipation of Data Science activities in full swing at UC Davis, in Fall 2020, our campus decided to renovate the first floor and basement of the former Physical Sciences and Engineering Library (PSEL) for the use of campus-wide Data Science and Artificial Intelligence (AI) related activities. The renovation was finally completed in December 2023.