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'''James Haglund''' is an American mathematician who specializes in [[Algebraic combinatorics|algebraic]] & [[Enumerative combinatorics|enumerative combinatorics]],<ref>[5]</ref> and works as a professor of mathematics at the [[University of Pennsylvania]]. <ref>[1]</ref>
'''James Haglund''' is an American mathematician who specializes in [[Algebraic combinatorics|algebraic]] & [[Enumerative combinatorics|enumerative combinatorics]],<ref>[https://www2.math.upenn.edu/~jhaglund James Haglund's Home Page]</ref> and works as a professor of mathematics at the [[University of Pennsylvania]]. <ref>[https://www.math.upenn.edu/people/james-haglund James Haglund] at [https://www.math.upenn.edu Penn Math Dept]</ref>


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. <ref>[6]</ref>
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]].


In 2013, Haglund became an inaugural [https://www.ams.org/cgi-bin/fellows/fellows.cgi#h fellow] of the [[American Mathematical Society]].<ref>[2]</ref>
In 2013, Haglund became an inaugural [https://www.ams.org/cgi-bin/fellows/fellows.cgi#h fellow] of the [[American Mathematical Society]].<ref>[https://www.ams.org/cgi-bin/fellows/fellows.cgi List of Fellows of the American Mathematical Society]</ref>


Haglund is the author of [https://bookstore.ams.org/view?ProductCode=ULECT/41 The ''q'',''t''-Catalan Numbers and the Space of Diagonal Harmonics: With an Appendix on the Combinatorics of Macdonald Polynomials]. <ref>[3]</ref> By 2022, Haglund has supervised 13 Ph.D. students and has 26 academic descendants. <ref>[4]</ref>
Haglund is the author of [https://bookstore.ams.org/view?ProductCode=ULECT/41 The ''q'',''t''-Catalan Numbers and the Space of Diagonal Harmonics: With an Appendix on the Combinatorics of Macdonald Polynomials]. <ref>[https://bookstore.ams.org/view?ProductCode=ULECT/41 The ''q'',''t''-Catalan Numbers and the Space of Diagonal Harmonics: With an Appendix on the Combinatorics of Macdonald Polynomials], [https://bookstore.ams.org/ULECT University Lecture Series], [https://www.ams.org AMS]</ref> By 2022, Haglund has supervised 13 Ph.D. students and has 26 academic descendants. <ref>[https://www.mathgenealogy.org/id.php?id=5627 James Haglund] at the [[Mathematics Genealogy Project]]</ref>


==References==
==References==
{{reflist}}
{{reflist}}
<ref>[https://www.math.upenn.edu/people/james-haglund James Haglund] at [https://www.math.upenn.edu Penn Math Dept]</ref>
<ref>[https://www.ams.org/cgi-bin/fellows/fellows.cgi List of Fellows of the American Mathematical Society]</ref>
<ref>[https://bookstore.ams.org/view?ProductCode=ULECT/41 The ''q'',''t''-Catalan Numbers and the Space of Diagonal Harmonics: With an Appendix on the Combinatorics of Macdonald Polynomials], [https://bookstore.ams.org/ULECT University Lecture Series], [https://www.ams.org AMS]</ref>
<ref>[https://www.mathgenealogy.org/id.php?id=5627 James Haglund] at the [[Mathematics Genealogy Project]]</ref>
<ref>[https://www2.math.upenn.edu/~jhaglund James Haglund's Home Page]</ref>
<ref> Macdonald polynomials [[Macdonald polynomials]]</ref>

Revision as of 15:53, 28 September 2024

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.

In 2013, Haglund became an inaugural fellow of the American Mathematical Society.[3]

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. [4] By 2022, Haglund has supervised 13 Ph.D. students and has 26 academic descendants. [5]

References

  1. ^ James Haglund's Home Page
  2. ^ James Haglund at Penn Math Dept
  3. ^ List of Fellows of the American Mathematical Society
  4. ^ The q,t-Catalan Numbers and the Space of Diagonal Harmonics: With an Appendix on the Combinatorics of Macdonald Polynomials, University Lecture Series, AMS
  5. ^ James Haglund at the Mathematics Genealogy Project
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