James Haglund
James Haglund is an American mathematician who specializes in algebraic combinatorics and enumerative combinatorics, and works as a professor of mathematics at the University of Pennsylvania.
Education
Haglund received his Ph.D. in 1993 from the University of Georgia, with the dissertation Compositions, Rook Placements, and Permutations of Vectors supervised by Earl Rodney Canfield.Research contributions
In 2005, together with M. Haiman and N. Loehr gave the first proof of a combinatorial interpretation of the Macdonald polynomials. In 2007, Haglund, Haiman and Loehr gave a combinatorial formula for the non-symmetric Macdonald polynomials.Haglund is the author of The -Catalan Numbers and the Space of Diagonal Harmonics: With an Appendix on the Combinatorics of Macdonald Polynomials.
Academic talks
In 2024, Haglund gave a talk at KAIST on Superization of Symmetric Functions.In 2015, together with Alexandre Kirillov and Ching-Li Chai, Haglund gave a talk at on Penn Math Day, sponsored by the University of Pennsylvania and Peking University.
In 2006, he gave a Plenary Address at the 18th International Conference on Formal Power Series and Algebraic Combinatorics, San Diego.