I am a Van Loo Independent Postdoctoral Fellow at the University of Michigan, affiliated with the Department of Mathematics and the Center for the Study of Complex Systems. My research lies at the intersection of algebraic graph theory, dynamical systems, and applied algebraic geometry with applications to biochemical reaction networks. I develop new mathematics to address a core question: how does the combinatorial and algebraic structure of a biochemical network govern its continuous dynamics?
I have long been captivated by the potential for biological systems to drive the innovation of new mathematics. My training in both mathematics and biochemistry has shaped this program using biochemical reaction networks. I completed my PhD at Harvard University under Jeremy Gunawardena. My doctoral research focused on using graph-theoretic approaches, namely the linear framework, to characterize the interplay between network topology and system dynamics in biochemical reaction networks. One example of this focus is collaborative work with Polly Yu, Matthew Satriano, and Miruna-Stefana Sorea on disguised toric systems published in SIAM Journal of Applied Dynamical Systems. My postdoctoral work has expanded this program toward structural identifiability in collaboration with Marisa Eisenberg, extending my program toward algebraic-geometric questions surrounding model reduction of parameter space in reaction networks and dynamical systems. Across these projects, I treat biologically inspired networks as mathematical objects in their own right, using their structure to reveal connections among graph theory, geometry, and dynamics.
This theme was adapted from Anastasia Lyulina.