My current research interest span the borders of Mathematics (combinatorics, asymptotic analysis of series, ODEs), Statistical Physics (critical phenomena, complex systems), and Computer Science (design of algorithms and parallel computing).
I am interested in how to count things efficiently by computer and how to obtain exact solutions and exact asymptotic information. I have worked on a number of classic problems from statistical physics and combinatorics, such as the Ising and Potts models, percolation, self-avoiding walks and polygons, lattice animals etc.
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