James Haglund

Geometry and Topology · 2003–2016

A researcher in the Science corpus: 10 papers; trusts 21 researchers and is trusted by 31 researchers here, as inferred from the citation graph.

Subfields

• Geometry and Topology — 34 citations into it; #2,607 of 7,422 by trust here, #968 by citations
• Discrete Mathematics and Combinatorics — 25 citations into it; #94 of 2,017 by trust here, #55 by citations
• Algebra and Number Theory — 22 citations into it; #199 of 2,864 by trust here, #201 by citations
• Mathematical Physics — 20 citations into it; #1,966 of 8,562 by trust here, #1,355 by citations
• Statistical and Nonlinear Physics — 7 citations into it

Whom James Haglund trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Mark D. Haiman
2. Sarah K. Mason
3. Thomas Lam
4. Luc Lapointe
5. Arun Ram
6. Drew Armstrong
7. Erik Carlsson
8. Jennifer Morse
9. Ian G. MacDonald
10. Martha Yip

Who trusts James Haglund overall

1. E. Gorsky
2. Sarah K. Mason
3. Arun Ram
4. Alexei Oblomkov
5. Jenny Wilson
6. Mike Zabrocki
7. Anton Mellit
8. Andrei Neguct
9. Martha Yip
10. Jacob Rasmussen

Papers from James Haglund's perspective

Ordered by how strongly the researchers James Haglund trusts endorse each paper. Same corpus, a different order for every researcher.

1. Conjectured statistics for the q,t-Catalan numbers
2. Vanishing theorems and character formulas for the Hilbert scheme of points in the plane
3. An explicit construction of type A Demazure atoms
4. On the Connection Between Macdonald Polynomials and Demazure Characters
5. Enumerative Combinatorics: Volume 1
6. A DECOMPOSITION OF SCHUR FUNCTIONS AND AN ANALOGUE OF THE ROBINSON-SCHENSTED-KNUTH ALGORITHM
7. Affine Insertion and Pieri Rules for the Affine Grassmannian
8. Rational Parking Functions and Catalan Numbers
9. Parking Spaces
10. Descent representations and multivariate statistics

Their papers

• Ordered set partitions, generalized coinvariant algebras, and the Delta Conjecture (2016) — 115 citations
• The Delta Conjecture (2015) — 121 citations
• A Compositional Shuffle Conjecture Specifying Touch Points of the Dyck Path (2010) — 82 citations
• Refinements of the Littlewood-Richardson rule (2009) — 65 citations
• A Combinatorial Formula for Nonsymmetric Macdonald Polynomials (2008) — 129 citations
• The q, t-Catalan numbers and the space of diagonal harmonics : with an appendix on the combinatorics of Macdonald polynomials (2007) — 345 citations
• A combinatorial formula for non-symmetric Macdonald polynomials (2006) — 58 citations
• A proof of the q,t-Schröder conjecture (2004) — 77 citations
• A combinatorial formula for the character of the diagonal coinvariants (2003) — 326 citations
• Conjectured statistics for the q,t-Catalan numbers (2003) — 120 citations