James Haglund

James Haglund is a Professor of Mathematics at the University of Pennsylvania's School of Arts and Sciences, within the Department of Mathematics. He specializes in algebraic combinatorics, with a focus on symmetric functions, Macdonald polynomials, and experimental mathematics. His research integrates computational tools like Maple to explore conjectures in enumerative and algebraic combinatorics.

He teaches advanced courses such as Math 4100 (Complex Analysis) and has advised numerous PhD and Master’s students, including Marino Romero, Per Alexandersson, and Andy Wilson. As a Fellow of the American Mathematical Society (AMS), his contributions to combinatorics have been recognized through prestigious awards and fellowships.

Haglund co-organizes the IPAC seminar, focusing on cutting-edge papers in algebraic combinatorics. His work spans international collaborations, with presentations at conferences like FPSAC and workshops at institutions such as the Erwin Schrödinger Institute and the Institute for Advanced Study (IAS). Key contributions include books like The q,t-Catalan Numbers and the Space of Diagonal Harmonics and foundational papers on the Delta Conjecture, geometric interpretations of symmetric functions, and Jack polynomials.

His advising and mentorship span postdoctoral researchers and students, with notable alumni holding academic and industry positions worldwide. Haglund’s research also intersects with algebraic geometry and number theory, reflecting his broad impact in mathematical sciences.