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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 ${\displaystyle q,t}$-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 Penn Wharton China Center 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 (FPSAC '06), San Diego (USA).

Editorial

Haglund was on the editorial boards of Transactions of the AMS, Journal of Combinatorics, and a few other academic journals.

Students

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.

Recognition

In 2013, Haglund became an inaugural Fellow of the American Mathematical Society.

References

1. James Haglund's Home Page
2. James Haglund at Penn Math Dept
3. James Haglund at the Mathematics Genealogy Project
4. [The ${\displaystyle q,t}$-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
5. KAIST Combinatorics Lab
6. Penn Math Day
7. FPSAC'06: San Diego
8. James Haglund at the Mathematics Genealogy Project
9. List of Fellows of the American Mathematical Society

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