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James Haglund

From Wikipedia, the free encyclopedia

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

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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

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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]

Academic talks

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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]

Editorial

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

Students

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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]

Recognition

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In 2013, Haglund became an inaugural Fellow of the American Mathematical Society.[9]

References

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  1. ^ James Haglund's Home Page
  2. ^ James Haglund at Penn Math Dept
  3. ^ James Haglund at the Mathematics Genealogy Project
  4. ^ [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
  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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