James Haglund

{{Short description|American mathematician}}

James Haglund is an American mathematician who specializes in algebraic combinatorics and enumerative combinatorics,[https://www2.math.upenn.edu/~jhaglund James Haglund's Home Page] and works as a professor of mathematics at the University of Pennsylvania.[https://www.math.upenn.edu/people/james-haglund James Haglund] at [https://www.math.upenn.edu Penn Math Dept]

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.{{mathgenealogy|5627}}

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 q,t-Catalan Numbers and the Space of Diagonal Harmonics: With an Appendix on the Combinatorics of Macdonald Polynomials.[The 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), {{MR|2371044}}; Pavlo Pylyavskyy, {{zbl|1142.05074}}

Academic talks

In 2024, Haglund gave a talk at KAIST on Superization of Symmetric Functions.[https://kaist.combinatorics.kr/2024-05 KAIST Combinatorics Lab]

In 2015, together with Alexandre Kirillov and Ching-Li Chai, Haglund gave a talk at [https://pwcc.upenn.edu/ Penn Wharton China Center] on Penn Math Day, sponsored by the University of Pennsylvania and Peking University.[https://www2.math.upenn.edu/~jhaglund/talks/PWCCposter.pdf Penn Math Day]

In 2006, he gave a Plenary Address at the 18th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC '06), San Diego (USA).[https://fpsac.org/confs/fpsac-2006/ FPSAC'06: San Diego]

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 [https://www.ycp.edu/faculty-staff-directory/frederick-butler Frederick M. Butler], Mahir Bilen Can, [https://sites.google.com/site/ltcrewmath/ Logan Crew], [https://sites.google.com/wfu.edu/sarahmason/ Sarah Katherine Mason], [https://baruch.cuny.edu/profiles/faculty/Anna-Pun Anna Pun], Chunwei Song, and [https://meesue.github.io Meesue Yoo].{{mathgenealogy|5627}}

Recognition

In 2013, Haglund became an inaugural Fellow of the American Mathematical Society.[https://www.ams.org/cgi-bin/fellows/fellows.cgi List of Fellows of the American Mathematical Society]

References