Draft:James Haglund
James Haglund is an American mathematician who specializes in algebraic & enumerative combinatorics,[1] and works as a professor of mathematics at the University of Pennsylvania. [2]
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. [3]
In 2013, Haglund became an inaugural fellow of the American Mathematical Society.[4]
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. [5] By 2022, Haglund has supervised 13 Ph.D. students and has 26 academic descendants. [6]
References
[edit]- ^ James Haglund at Penn Math Dept
- ^ List of Fellows of the American Mathematical Society
- ^ The q,t-Catalan Numbers and the Space of Diagonal Harmonics: With an Appendix on the Combinatorics of Macdonald Polynomials, University Lecture Series, AMS
- ^ James Haglund at the Mathematics Genealogy Project
- ^ James Haglund's Home Page
- ^ Macdonald polynomials Macdonald polynomials