James Haglund
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]
Education
[edit]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]
Research contributions
[edit]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]
Recognition
[edit]In 2013, Haglund became an inaugural Fellow of the American Mathematical Society.[5]
References
[edit]- ^ James Haglund's Home Page
- ^ James Haglund at Penn Math Dept
- ^ James Haglund at the Mathematics Genealogy Project
- ^ The -Catalan Numbers and the Space of Diagonal Harmonics: With an Appendix on the Combinatorics of Macdonald Polynomials, University Lecture Series, vol. 41, American Mathematical Society, 2008. Reviews: Michael A. Zabrocki (2009), MR2371044; Pavlo Pylyavskyy, Zbl 1142.05074
- ^ List of Fellows of the American Mathematical Society
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