Mark D. Haiman

Geometry and Topology · 2000–2008

A researcher in the Science corpus: 9 papers; trusts 12 researchers and is trusted by 77 researchers here, as inferred from the citation graph.

Subfields

• Geometry and Topology — 16 citations into it; #100 of 7,422 by trust here, #233 by citations
• Algebra and Number Theory — 14 citations into it; #443 of 2,864 by trust here, #457 by citations
• Mathematical Physics — 11 citations into it; #169 of 8,562 by trust here, #421 by citations
• Discrete Mathematics and Combinatorics — 10 citations into it; #228 of 2,017 by trust here, #146 by citations

Whom Mark D. Haiman trusts overall

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

1. Y. Berest
2. W. Crawley‐Boevey
3. I. Gordon
4. Pavel Etingof
5. James Haglund
6. Arun Ram
7. V. Ginzburg
8. Jean-Paul Brasselet
9. Peter E. Newstead
10. Alexander Schrijver

Who trusts Mark D. Haiman overall

1. I. Gordon
2. James Haglund
3. Thomas Lam
4. Tatsuyuki Hikita
5. E. Gorsky
6. François Bergeron
7. Sami H. Assaf
8. D. Arinkin
9. J. T. Stafford
10. Alexei Oblomkov

Papers from Mark D. Haiman's perspective

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

1. On the quotient ring by diagonal invariants
2. Cherednik algebras and differential operators on quasi-invariants
3. Decomposition of Marsden–Weinstein Reductions for Representations of Quivers (Compositio Mathematica)
4. Conjectured statistics for the q,t-Catalan numbers
5. Abstract Hilbert Schemes
6. Theory of linear and integer programming
7. Introduction to toric varieties
8. THE GEOMETRY OF SCHEMES (Graduate Texts in Mathematics 197) By DAVID EISENBUD and JOE HARRIS: 294 pp., £18.00, ISBN 0-387-98637-5 (Springer, New York, 2000).
9. The homogeneous coordinate ring of a toric variety
10. Explicit Plethystic Formulas for Macdonald q,t-Kostka Coefficients

Their papers

• Multigraded Hilbert schemes (2002) — 193 citations
• A Combinatorial Formula for Nonsymmetric Macdonald Polynomials (2008) — 129 citations
• A combinatorial formula for non-symmetric Macdonald polynomials (2006) — 58 citations
• A combinatorial formula for the character of the diagonal coinvariants (2003) — 326 citations
• Notes on Macdonald Polynomials and the Geometry of Hilbert Schemes (2002) — 53 citations
• Combinatorics, symmetric functions, and Hilbert schemes (2002) — 179 citations
• Vanishing theorems and character formulas for the Hilbert scheme of points in the plane (2001) — 327 citations
• Explicit Plethystic Formulas for Macdonald q,t-Kostka Coefficients (2001) — 92 citations
• Hilbert schemes, polygraphs and the Macdonald positivity conjecture (2000) — 559 citations