Mark Haiman | Academic Influence

Mark Haiman's AcademicInfluence.com Rankings

Mark Haiman

Mathematics

#1087

World Rank

#1849

Historical Rank

#471

USA Rank

Measure Theory

#3519

World Rank

#4152

Historical Rank

#1018

USA Rank

mathematics Degrees

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Mathematics

Mark Haiman's Degrees

PhD Mathematics University of California, Berkeley
Bachelors Mathematics University of California, Berkeley

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Why Is Mark Haiman Influential?

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According to Wikipedia, Mark David Haiman is a mathematician at the University of California at Berkeley who proved the Macdonald positivity conjecture for Macdonald polynomials. He received his Ph.D in 1984 in the Massachusetts Institute of Technology under the direction of Gian-Carlo Rota. Previous to his appointment at Berkeley, he held positions at the University of California, San Diego and the Massachusetts Institute of Technology.

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Mark Haiman's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Hilbert schemes, polygraphs and the Macdonald positivity conjecture (2000) (481)
Conjectures on the Quotient Ring by Diagonal Invariants (1994) (297)
A combinatorial formula for the character of the diagonal coinvariants (2003) (285)
Vanishing theorems and character formulas for the Hilbert scheme of points in the plane (2001) (276)
A Remarkable q, t-Catalan Sequence and q-Lagrange Inversion (1996) (264)
Dual equivalence with applications, including a conjecture of Proctor (1992) (207)
A graded representation model for Macdonald's polynomials. (1993) (189)
Schubert polynomials for the classical groups (1995) (179)
Multigraded Hilbert schemes (2002) (166)
t, q-Catalan numbers and the Hilbert scheme (1998) (156)
Combinatorics, symmetric functions, and Hilbert schemes (2002) (148)
Identities and Positivity Conjectures for some remarkable Operators in the Theory of Symmetric Functions (1999) (143)
A combinatorial formula for Macdonald polynomials (2005) (126)
On mixed insertion, symmetry, and shifted young tableaux (1989) (93)
Explicit Plethystic Formulas for Macdonald q,t-Kostka Coefficients (2001) (87)
A simple and relatively efficient triangulation of then-cube (1991) (72)
Hecke algebra characters and immanant conjectures (1993) (72)
Macdonald Polynomials and Geometry (1999) (71)
AFFINE HECKE ALGEBRAS AND POSITIVITY OF LLT AND MACDONALD POLYNOMIALS (2007) (59)
LATTICE DIAGRAM POLYNOMIALS AND EXTENDED PIERI RULES (1998) (56)
A combinatorial formula for non-symmetric Macdonald polynomials (2006) (54)
Notes on Macdonald Polynomials and the Geometry of Hilbert Schemes (2002) (51)
SOME NATURAL BIGRADED Sn-MODULES and (1996) (50)
Some Natural Bigraded S_n-Modules and q,t-Kostka Coefficients. (1996) (49)
Arguesian lattices which are not type-1 (1991) (47)
Incidence algebra antipodes and lagrange inversion in one and several variables (1989) (46)
Proof theory for linear lattices (1985) (43)
Cherednik algebras, Macdonald polynomials and combinatorics (2006) (42)
Combinatorial theory of Macdonald polynomials I: proof of Haglund's formula. (2005) (40)
A Randomq, t-Hook Walk and a Sum of Pieri Coefficients (1998) (34)
Factorizations of Pieri rules for Macdonald polynomials (1995) (30)
Arguesian lattices which are not linear (1987) (30)
A remarkable q, t-Catalan sequence and q-Lagrange inversion (1996) (29)
Some natural bigraded S_n-modules (1996) (22)
A Shuffle Theorem for Paths Under Any Line (2021) (16)
Two notes on the Arguesian identity (1985) (13)
Non-commutative Rational Power Series and Algebraic Generating Functions (1993) (13)
A Proof of the Extended Delta Conjecture (2021) (10)
Commutative Algebra of n Points in the Plane (2005) (10)
Tableaux Formulas for MacDonald polynomials (2013) (10)
Nilpotent Orbit Varieties and the Atomic Decomposition of the Q-Kostka Polynomials (1998) (7)
On realization of Björner’s “continuous partition lattice” by measurable partitions (1994) (7)
ON THE QUOTIENT RING BY DIAGONAL INVARIANTS (1994) (6)
A characterization of generalized staircases (1992) (5)
Linear lattice proof theory: An overview (1985) (4)
NOTES ON DERIVED CATEGORIES AND DERIVED FUNCTORS (2014) (4)
GEOMETRY OF q AND q;t-ANALOGS IN COMBINATORIAL ENUMERATION (2006) (3)
Geometry of and ,-analogs in combinatorial enumeration (2007) (1)
MACDONALD POLYNOMIALS AND HILBERT SCHEMES ( PRELIMINARY DRAFT ) 3 Proof (1997) (0)
Macdonald Polynomials and Hilbert Schemes (preliminary Draft) (1997) (0)
Mass Formulas for Z p and F p Algebras (2012) (0)
VARIETIES AS SCHEMES (2019) (0)
SCHUBERT POLYNOMIALS FOR THE CLASSICAL GROUPS 445 Fomin and Kirillov (2009) (0)
SCHUBERT POLYNOMIALS FOR THE CLASSICAL GROUPS 445 (2009) (0)
Introduction In honor of Adriano Garsia (1998) (0)
Macdonald Polynomials and Hilbert Schemes (revised Draft) (2007) (0)
NOTES ON SHEAF COHOMOLOGY FOR SCHEMES (2013) (0)
LLT polynomials in the Schiffmann algebra (2021) (0)
Zvi Rosen Representation Theory Notes (2012) (0)
Title A combinatorial formula for the character of the diagonal convariants Permalink (2004) (0)
N ov 2 00 6 INTERVAL PATTERN AVOIDANCE FOR ARBITRARY ROOT SYSTEMS (2019) (0)
Dens, nests and the Loehr-Warrington conjecture (2021) (0)
Advanced Problems: 6457-6458 (1984) (0)

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