My research interests are in equilibrium statistical mechanics in general, and more particularly in discrete models of phase transitions. As these are often equivalent to a combinatorial problem, I am equally interested in the relevant combinatorics, and the connection between the two. Additionally, I am regularly looking for new ways to count the underlying graphs efficiently. This leads me into a study of algorithmic complexity.
Guttmann, A., Jensen I., Maillard J. M., & Pantone J.
(2016). Is the full susceptibility of the square-lattice Ising model a differentially algebraic function?. Journal of Physics A: Mathematical and Theoretical. 49(50), doi: 10.1088/1751-8113/49/50/504002
Guttmann, A., & Maillard J-M.
(2015). Automata and the susceptibility of the square lattice Ising model modulo powers of primes. Journal of Physics A: Mathematical and Theoretical. 48(47), 474001. doi: 10.1088/1751-8113/48/47/474001