James Haglund is an American mathematician who specializes in algebraic combinatorics and enumerative combinatorics, [1] and works as a professor of mathematics at the University of Pennsylvania. [2]
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. [3]
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. [4]
In 2024, Haglund gave a talk at KAIST on Superization of Symmetric Functions. [5]
In 2015, together with Alexandre Kirillov and Ching-Li Chai, Haglund gave a talk at Penn Wharton China Center on Penn Math Day, sponsored by the University of Pennsylvania and Peking University. [6]
In 2006, he gave a Plenary Address at the 18th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC '06), San Diego (USA). [7]
Haglund was on the editorial boards of Transactions of the AMS, Journal of Combinatorics, and a few other academic journals.
Among the Ph.D. students supervised by Haglund are Frederick M. Butler, Mahir Bilen Can, Logan Crew, Sarah Katherine Mason, Anna Pun, Chunwei Song, and Meesue Yoo. [8]
In 2013, Haglund became an inaugural Fellow of the American Mathematical Society. [9]
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