# zbMATH — the first resource for mathematics

## Haiman, Mark D.

Compute Distance To:
 Author ID: haiman.mark-d Published as: Haiman, M.; Haiman, Mark; Haiman, Mark D. Homepage: https://math.berkeley.edu/~mhaiman/ External Links: MGP · Wikidata
 Documents Indexed: 40 Publications since 1985 Biographic References: 1 Publication
all top 5

#### Co-Authors

 21 single-authored 8 Garsia, Adriano M. 4 Haglund, James 4 Loehr, Nicholas A. 3 Bergeron, François 3 Tesler, Glenn 1 Bergeron, Nantel 1 Billey, Sara C. 1 Brockman, William 1 Kim, Dongsu 1 Remmel, Jeffrey B. 1 Schmitt, William R. 1 Sturmfels, Bernd 1 Ulyanov, Alexander P. 1 Woo, Alexander K.
all top 5

#### Serials

 4 Discrete Mathematics 4 Journal of the American Mathematical Society 3 Journal of Combinatorial Theory. Series A 2 Advances in Mathematics 2 Algebra Universalis 2 Proceedings of the National Academy of Sciences of the United States of America 2 Journal of Algebraic Combinatorics 1 American Journal of Mathematics 1 Canadian Journal of Mathematics 1 Duke Mathematical Journal 1 Inventiones Mathematicae 1 Transactions of the American Mathematical Society 1 European Journal of Combinatorics 1 Discrete & Computational Geometry 1 International Journal of Algebra and Computation 1 Bulletin of the American Mathematical Society. New Series 1 Journal of Algebraic Geometry 1 The Electronic Journal of Combinatorics 1 Methods and Applications of Analysis 1 Séminaire Lotharingien de Combinatoire
all top 5

#### Fields

 31 Combinatorics (05-XX) 13 Algebraic geometry (14-XX) 6 Order, lattices, ordered algebraic structures (06-XX) 6 Commutative algebra (13-XX) 6 Group theory and generalizations (20-XX) 5 Special functions (33-XX) 2 Mathematical logic and foundations (03-XX) 2 Convex and discrete geometry (52-XX) 1 General algebraic systems (08-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Geometry (51-XX) 1 Manifolds and cell complexes (57-XX) 1 Computer science (68-XX)

#### Citations contained in zbMATH

39 Publications have been cited 1,270 times in 765 Documents Cited by Year
Hilbert schemes, polygraphs and the Macdonald positivity conjecture. Zbl 1009.14001
Haiman, Mark
2001
A remarkable $$q,t$$-Catalan sequence and $$q$$-Lagrange inversion. Zbl 0853.05008
Garsia, A. M.; Haiman, M.
1996
A combinatorial formula for the character of the diagonal coinvariants. Zbl 1069.05077
Haglund, J.; Haiman, M.; Loehr, N.; Remmel, J. B.; Ulyanov, A.
2005
Conjectures on the quotient ring by diagonal invariants. Zbl 0803.13010
Haiman, Mark D.
1994
A combinatorial formula for Macdonald polynomials. Zbl 1061.05101
Haglund, J.; Haiman, M.; Loehr, N.
2005
Vanishing theorems and character formulas for the Hilbert scheme of points in the plane. Zbl 1053.14005
Haiman, Mark
2002
Dual equivalence with applications, including a conjecture of Proctor. Zbl 0760.05093
Haiman, Mark D.
1992
A graded representation model for Macdonald’s polynomials. Zbl 0831.05062
1993
Schubert polynomials for the classical groups. Zbl 0832.05098
Billey, Sara; Haiman, Mark
1995
$$t,q$$-Catalan numbers and the Hilbert scheme. Zbl 1061.05509
Haiman, Mark
1998
Combinatorics, symmetric functions, and Hilbert schemes. Zbl 1053.05118
Haiman, Mark
2003
Haiman, Mark; Sturmfels, Bernd
2004
A combinatorial formula for nonsymmetric Macdonald polynomials. Zbl 1246.05162
Haglund, J.; Haiman, M.; Loehr, N.
2008
Identities and positivity conjectures for some remarkable operators in the theory of symmetric functions. Zbl 0956.33011
Bergeron, F.; Garsia, A. M.; Haiman, M.; Tesler, G.
1999
On mixed insertion, symmetry, and shifted Young tableaux. Zbl 0697.05005
Haiman, Mark D.
1989
Incidence algebra antipodes and Lagrange inversion in one and several variables. Zbl 0747.05007
Haiman, Mark; Schmitt, William
1989
A simple and relatively efficient triangulation of the n-cube. Zbl 0727.68044
Haiman, Mark
1991
Macdonald polynomials and geometry. Zbl 0952.05074
Haiman, Mark
1999
Proof theory for linear lattices. Zbl 0584.06003
Haiman, Mark
1985
Hecke algebra characters and immanant conjectures. Zbl 0817.20048
Haiman, Mark
1993
Arguesian lattices which are not type-1. Zbl 0724.06004
Haiman, Mark
1991
Arguesian lattices which are not linear. Zbl 0616.06006
Haiman, Mark D.
1987
Some natural bigraded $$S_ n$$-modules and $$q,t$$-Kostka coefficients. Zbl 0851.05099
Garsia, A. M.; Haiman, M.
1996
Explicit plethystic formulas for Macdonald $$(q,t)$$-Kostka coefficients. Zbl 0920.05071
Garsia, Adriano; Haiman, Mark; Tesler, Glenn
1999
Lattice diagram polynomials and extended Pieri rules. Zbl 0934.05122
Bergeron, François; Bergeron, Nantel; Garsia, Adriano M.; Haiman, Mark; Tesler, Glenn
1999
Cherednik algebras, Macdonald polynomials and combinatorics. Zbl 1099.33014
Haiman, Mark
2006
A random $$q,t$$-hook walk and a sum of Pieri coefficients. Zbl 0908.05082
Garsia, A. M.; Haiman, M.
1998
Notes on MacDonald polynomials and the geometry of Hilbert schemes. Zbl 1057.14011
Haiman, Mark
2002
Combinatorial theory of Macdonald polynomials. I: Proof of Haglund’s formula. Zbl 1208.05149
Haglund, J.; Haiman, M.; Loehr, N.
2005
Factorizations of Pieri rules for Macdonald polynomials. Zbl 0826.05056
Garsia, A. M.; Haiman, M.
1995
Two notes on the Arguesian identity. Zbl 0595.06012
Haiman, Mark
1985
Commutative algebra of $$n$$ points in the plane. Appendix by Ezra Miller: Hilbert schemes of points in the plane. Zbl 1078.14069
Haiman, Mark
2004
Tableaux formulas for Macdonald polynomials. Zbl 1268.05226
Bergeron, François; Haiman, Mark
2013
Nilpotent orbit varieties and the atomic decomposition of the $$q$$-Kostka polynomials. Zbl 0912.05060
Brockman, William; Haiman, Mark
1998
Non-commutative rational power series and algebraic generating functions. Zbl 0783.05003
Haiman, Mark
1993
A characterization of generalized staircases. Zbl 0760.05092
Haiman, Mark D.; Kim, Dongsu
1992
Geometry of $$q$$ and $$q,t$$-analogs in combinatorial enumeration. Zbl 1176.05010
Haiman, Mark; Woo, Alexander
2007
Vanishing theorems and character formulas for the Hilbert scheme of points in the plane. (Abreviated version). Zbl 1073.14502
Haiman, Mark
2001
On realization of Björner’s ‘continuous partition lattice’ by measurable partitions. Zbl 0811.06009
Haiman, Mark
1994
Tableaux formulas for Macdonald polynomials. Zbl 1268.05226
Bergeron, François; Haiman, Mark
2013
A combinatorial formula for nonsymmetric Macdonald polynomials. Zbl 1246.05162
Haglund, J.; Haiman, M.; Loehr, N.
2008
Geometry of $$q$$ and $$q,t$$-analogs in combinatorial enumeration. Zbl 1176.05010
Haiman, Mark; Woo, Alexander
2007
Cherednik algebras, Macdonald polynomials and combinatorics. Zbl 1099.33014
Haiman, Mark
2006
A combinatorial formula for the character of the diagonal coinvariants. Zbl 1069.05077
Haglund, J.; Haiman, M.; Loehr, N.; Remmel, J. B.; Ulyanov, A.
2005
A combinatorial formula for Macdonald polynomials. Zbl 1061.05101
Haglund, J.; Haiman, M.; Loehr, N.
2005
Combinatorial theory of Macdonald polynomials. I: Proof of Haglund’s formula. Zbl 1208.05149
Haglund, J.; Haiman, M.; Loehr, N.
2005
Haiman, Mark; Sturmfels, Bernd
2004
Commutative algebra of $$n$$ points in the plane. Appendix by Ezra Miller: Hilbert schemes of points in the plane. Zbl 1078.14069
Haiman, Mark
2004
Combinatorics, symmetric functions, and Hilbert schemes. Zbl 1053.05118
Haiman, Mark
2003
Vanishing theorems and character formulas for the Hilbert scheme of points in the plane. Zbl 1053.14005
Haiman, Mark
2002
Notes on MacDonald polynomials and the geometry of Hilbert schemes. Zbl 1057.14011
Haiman, Mark
2002
Hilbert schemes, polygraphs and the Macdonald positivity conjecture. Zbl 1009.14001
Haiman, Mark
2001
Vanishing theorems and character formulas for the Hilbert scheme of points in the plane. (Abreviated version). Zbl 1073.14502
Haiman, Mark
2001
Identities and positivity conjectures for some remarkable operators in the theory of symmetric functions. Zbl 0956.33011
Bergeron, F.; Garsia, A. M.; Haiman, M.; Tesler, G.
1999
Macdonald polynomials and geometry. Zbl 0952.05074
Haiman, Mark
1999
Explicit plethystic formulas for Macdonald $$(q,t)$$-Kostka coefficients. Zbl 0920.05071
Garsia, Adriano; Haiman, Mark; Tesler, Glenn
1999
Lattice diagram polynomials and extended Pieri rules. Zbl 0934.05122
Bergeron, François; Bergeron, Nantel; Garsia, Adriano M.; Haiman, Mark; Tesler, Glenn
1999
$$t,q$$-Catalan numbers and the Hilbert scheme. Zbl 1061.05509
Haiman, Mark
1998
A random $$q,t$$-hook walk and a sum of Pieri coefficients. Zbl 0908.05082
Garsia, A. M.; Haiman, M.
1998
Nilpotent orbit varieties and the atomic decomposition of the $$q$$-Kostka polynomials. Zbl 0912.05060
Brockman, William; Haiman, Mark
1998
A remarkable $$q,t$$-Catalan sequence and $$q$$-Lagrange inversion. Zbl 0853.05008
Garsia, A. M.; Haiman, M.
1996
Some natural bigraded $$S_ n$$-modules and $$q,t$$-Kostka coefficients. Zbl 0851.05099
Garsia, A. M.; Haiman, M.
1996
Schubert polynomials for the classical groups. Zbl 0832.05098
Billey, Sara; Haiman, Mark
1995
Factorizations of Pieri rules for Macdonald polynomials. Zbl 0826.05056
Garsia, A. M.; Haiman, M.
1995
Conjectures on the quotient ring by diagonal invariants. Zbl 0803.13010
Haiman, Mark D.
1994
On realization of Björner’s ‘continuous partition lattice’ by measurable partitions. Zbl 0811.06009
Haiman, Mark
1994
A graded representation model for Macdonald’s polynomials. Zbl 0831.05062
1993
Hecke algebra characters and immanant conjectures. Zbl 0817.20048
Haiman, Mark
1993
Non-commutative rational power series and algebraic generating functions. Zbl 0783.05003
Haiman, Mark
1993
Dual equivalence with applications, including a conjecture of Proctor. Zbl 0760.05093
Haiman, Mark D.
1992
A characterization of generalized staircases. Zbl 0760.05092
Haiman, Mark D.; Kim, Dongsu
1992
A simple and relatively efficient triangulation of the n-cube. Zbl 0727.68044
Haiman, Mark
1991
Arguesian lattices which are not type-1. Zbl 0724.06004
Haiman, Mark
1991
On mixed insertion, symmetry, and shifted Young tableaux. Zbl 0697.05005
Haiman, Mark D.
1989
Incidence algebra antipodes and Lagrange inversion in one and several variables. Zbl 0747.05007
Haiman, Mark; Schmitt, William
1989
Arguesian lattices which are not linear. Zbl 0616.06006
Haiman, Mark D.
1987
Proof theory for linear lattices. Zbl 0584.06003
Haiman, Mark
1985
Two notes on the Arguesian identity. Zbl 0595.06012
Haiman, Mark
1985
all top 5

#### Cited by 739 Authors

 23 Loehr, Nicholas A. 22 Haglund, James 19 Garsia, Adriano M. 18 Bergeron, Nantel 17 Haiman, Mark D. 16 Rhoades, Brendon 14 Shimozono, Mark 13 Gorsky, Eugene 13 Lapointe, Luc 12 Konvalinka, Matjaž 11 Morse, Jennifer 10 Blasiak, Jonah 10 Brenti, Francesco 10 Van Willigenburg, Stephanie J. 9 Aval, Jean-Christophe 9 Bergeron, François 9 D’Adderio, Michele 9 Remmel, Jeffrey B. 9 Schilling, Anne 9 Warrington, Gregory S. 8 Billey, Sara C. 8 Lam, Thomas F. 8 Mason, Sarah K. 8 Yan, Catherine Huafei 7 Krug, Andreas 7 Mellit, Anton S. 7 Pawlowski, Brendan Alexander 7 Skandera, Mark 7 Sottile, Frank 7 Wilson, Andrew Timothy 6 Allen, Edward E. 6 Assaf, Sami H. 6 Carlsson, Erik 6 Fomin, Sergey Vladimirovich 6 Jing, Naihuan 6 Lenart, Cristian 6 Marberg, Eric 6 Mazin, Mikhail 6 Tamvakis, Harry 6 Tewari, Vasu V. 6 Xin, Guoce 5 Alexandersson, Per 5 Armstrong, Drew 5 Bredikhin, Dmitry Aleksandrovich 5 Descouens, Francois 5 Hausel, Tamás 5 Iraci, Alessandro 5 Letellier, Emmanuel 5 Maclagan, Diane 5 Novelli, Jean-Christophe 5 Purbhoo, Kevin 5 Reiner, Victor 5 Rodriguez-Villegas, Fernando 5 Stanley, Richard Peter 5 Thibon, Jean-Yves 5 Vanden Wyngaerd, Anna 5 Williams, Nathan F. 4 Anderson, Dave Edward 4 Ardila Mantilla, Federico 4 Athanasiadis, Christos A. 4 Boissière, Samuel 4 Ceballos, Cesar 4 Dołȩga, Maciej 4 Feigin, Evgeny 4 Fishel, Susanna 4 Gillespie, Maria Monks 4 Hicks, Angela Sue 4 Kleppe, Jan Oddvar 4 Kreuzer, Martin 4 Lascoux, Alain 4 Lee, Kyungyong 4 Liu, Ricky Ini 4 Mészáros, Karola 4 Niese, Elizabeth M. 4 Pylyavskyy, Pavlo 4 Robbiano, Lorenzo 4 Santos, Francisco 4 Scala, Luca 4 Sergel, Emily 4 Stembridge, John R. 4 Thiel, Marko 4 Thomas, Hugh Ross 4 Vazirani, Monica J. 4 Wheeler, Michael 4 Yip, Martha 4 Zabrocki, Mike 3 Alexeev, Valery A. 3 Andréka, Hajnal 3 Ayyer, Arvind 3 Berenstein, Arkady 3 Cai, Tommy Wuxing 3 Can, Mahir Bilen 3 Chen, William Yong-Chuan 3 Cherednik, Ivan V. 3 Corteel, Sylvie 3 Duan, Haibao 3 Ebrahimi-Fard, Kurusch 3 Ginzburg, Victor 3 Gordon, Iain Grant 3 Griffin, Sean T. ...and 639 more Authors
all top 5

#### Cited in 107 Serials

 85 Journal of Combinatorial Theory. Series A 68 Advances in Mathematics 53 Journal of Algebraic Combinatorics 43 Discrete Mathematics 41 Séminaire Lotharingien de Combinatoire 39 Journal of Algebra 38 European Journal of Combinatorics 28 Transactions of the American Mathematical Society 23 Annals of Combinatorics 22 Advances in Applied Mathematics 20 Duke Mathematical Journal 17 Algebra Universalis 16 The Electronic Journal of Combinatorics 15 Selecta Mathematica. New Series 14 Mathematische Zeitschrift 13 Mathematische Annalen 11 Journal of Pure and Applied Algebra 10 Inventiones Mathematicae 10 Journal of Algebraic Geometry 9 Communications in Mathematical Physics 8 Proceedings of the American Mathematical Society 7 Letters in Mathematical Physics 7 Journal of the American Mathematical Society 7 Bulletin of the American Mathematical Society. New Series 6 Communications in Algebra 6 Discrete & Computational Geometry 6 International Journal of Algebra and Computation 5 Transformation Groups 5 Geometry & Topology 5 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 5 Algebraic Combinatorics 4 Collectanea Mathematica 4 Memoirs of the American Mathematical Society 4 Theoretical Computer Science 4 Proceedings of the National Academy of Sciences of the United States of America 4 Journal of High Energy Physics 3 Journal of Symbolic Computation 3 Journal of Knot Theory and its Ramifications 3 Annals of Mathematics. Second Series 2 Nuclear Physics. B 2 Compositio Mathematica 2 Geometriae Dedicata 2 The Journal of Symbolic Logic 2 Tohoku Mathematical Journal. Second Series 2 SIAM Journal on Discrete Mathematics 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Mathematical Programming. Series A. Series B 2 The Ramanujan Journal 2 Algebras and Representation Theory 2 Journal of the European Mathematical Society (JEMS) 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Journal of Commutative Algebra 2 Science China. Mathematics 2 Forum of Mathematics, Sigma 1 Bulletin of the Australian Mathematical Society 1 International Journal of Control 1 International Journal of Theoretical Physics 1 Journal of Computational Physics 1 Journal of Mathematical Analysis and Applications 1 Mathematical Notes 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Periodica Mathematica Hungarica 1 Rocky Mountain Journal of Mathematics 1 Mathematics of Computation 1 Reviews in Mathematical Physics 1 Beiträge zur Algebra und Geometrie 1 Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 1 Annales de l’Institut Fourier 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 The Annals of Probability 1 Canadian Journal of Mathematics 1 Functional Analysis and its Applications 1 Information Sciences 1 Journal of Functional Analysis 1 Journal of the Korean Mathematical Society 1 Journal of the London Mathematical Society. Second Series 1 Journal of Number Theory 1 Manuscripta Mathematica 1 Michigan Mathematical Journal 1 Osaka Journal of Mathematics 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Rendiconti del Seminario Matematico della Università di Padova 1 Siberian Mathematical Journal 1 Studia Logica 1 Systems & Control Letters 1 Combinatorica 1 Annals of Pure and Applied Logic 1 Science in China. Series A 1 International Journal of Mathematics 1 Random Structures & Algorithms 1 Computational Geometry 1 Differential Geometry and its Applications 1 IMRN. International Mathematics Research Notices 1 Journal of Global Optimization 1 Archive for Mathematical Logic 1 Experimental Mathematics 1 Journal of Mathematical Sciences (New York) 1 The Journal of Artificial Intelligence Research (JAIR) 1 Representation Theory ...and 7 more Serials
all top 5

#### Cited in 48 Fields

 499 Combinatorics (05-XX) 241 Algebraic geometry (14-XX) 155 Group theory and generalizations (20-XX) 78 Order, lattices, ordered algebraic structures (06-XX) 59 Associative rings and algebras (16-XX) 57 Nonassociative rings and algebras (17-XX) 54 Commutative algebra (13-XX) 50 Special functions (33-XX) 35 Convex and discrete geometry (52-XX) 28 Quantum theory (81-XX) 26 Manifolds and cell complexes (57-XX) 17 Number theory (11-XX) 16 General algebraic systems (08-XX) 15 Probability theory and stochastic processes (60-XX) 15 Computer science (68-XX) 14 Linear and multilinear algebra; matrix theory (15-XX) 14 Category theory; homological algebra (18-XX) 12 Mathematical logic and foundations (03-XX) 10 Geometry (51-XX) 9 $$K$$-theory (19-XX) 9 Algebraic topology (55-XX) 7 Several complex variables and analytic spaces (32-XX) 6 Differential geometry (53-XX) 5 Numerical analysis (65-XX) 4 Topological groups, Lie groups (22-XX) 4 Operations research, mathematical programming (90-XX) 3 History and biography (01-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Operator theory (47-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Statistical mechanics, structure of matter (82-XX) 3 Systems theory; control (93-XX) 2 General and overarching topics; collections (00-XX) 2 Functions of a complex variable (30-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Functional analysis (46-XX) 2 Mechanics of particles and systems (70-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Partial differential equations (35-XX) 1 Difference and functional equations (39-XX) 1 Abstract harmonic analysis (43-XX) 1 Statistics (62-XX) 1 Fluid mechanics (76-XX) 1 Relativity and gravitational theory (83-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX) 1 Information and communication theory, circuits (94-XX)

#### Wikidata Timeline

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.