Mathematical Biology, Systems Biology, Discrete Mathematics, Dynamical Systems Theory, Boolean Networks, REUs.

I am interested in using and developing algebraic tools (algebraic geometry, Boolean algebra, combinatorics, graph theory, symbolic computation) to study problems arising in systems biology; I am also interested in the relationship between discrete and continuous dynamical systems. In particular, I am interested in modeling biological systems such as gene regulatory networks and study how the network topology constrains the dynamics. This is a key factor in understanding systems biology, because such systems are robust to changes in the parameters and it has been hypothesized that the cause of this robustness is that the topology of the network determines the qualitative features of the dynamics. I am also interested in how biology can contribute to mathematics, by generating new kind of problems, providing a unique perspective to study them and guiding the direction of research in pure and applied mathematics.