James Propp

James Propp, Ph.D., is a Professor in the Department of Mathematics & Statistics at the University of Massachusetts Lowell (Kennedy College of Sciences). He specializes in Combinatorics, Probability, and Dynamical Systems. His work bridges theoretical mathematics with applications in discrete structures and algorithmic processes. Propp has been actively mentoring undergraduates in research since joining UMass Lowell in 2006.

Education:

• Ph.D., University of California at Berkeley

Research Interests: Propp’s research focuses on tilings of geometric structures (e.g., Aztec diamonds, benzels), combinatorial dynamics, and homomesy phenomena. He explores probabilistic models in discrete systems and develops bijections for enumeration problems. His work often combines algebraic, geometric, and computational approaches.

Recent Research Trends: Propp’s recent publications highlight advancements in tiling theory, toggle dynamics, and spectral analysis of combinatorial systems. His work on homomesy elucidates invariant averages under dynamical actions, while his studies on chip-firing games and rotor-routers model probabilistic phenomena deterministically.

Awards: No awards explicitly mentioned in the text.

Advising & Grants: While no specific grants are listed, Propp is noted for encouraging undergraduate research participation in mathematics. His advising contributions are central to his role as a mentor.

Labs/Teams: No specific labs or collaborative teams are detailed in the provided information.