PhD Doctor of Philosophy candidate
Cellular automata rulesets towards complexity
Cellular automata have been used to model a number of processes in biology, but have not been thoroughly explored for their use in understanding robustness and regeneration, an important set of biological problems. We will use an existing neural net setup that "learns" cellular automata rules for recreating images, as a way of understanding the rules that give rise to robust and reproducible structures in fractal space.
Gene regulatory networks, adaptation, and dynamics
A number of gene regulatory networks, or GRNs, have been found in biology that are capable of exhibiting complex signal processing properties. We will investigate the ability of different GRNs to process complex signaling behaviors, and assess their ability to optimize their accuracy and energy usage.
ND Tic-tac-toe: questions in positional game theory
Positional game theory deals with games such as tic-tac-toe and connect four where the goal is to connect points in space, taking turns with your opponent. While our standard 2D tic-tac-toe has been 'solved', a lot of questions remain about the solvability and statistics of tic-tac-toe in higher dimensions, and with the variants on the game that come with these dimensions. We will explore some of these questions together, and try to figure out winning strategies for weird and wacky multidimensional games!