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Associate Professor
Research Interests
Representation theory, algebraic combinatoricsTeaching
- MATH5143 Introduction to Lie Algebras
Selected Publications
Article
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Perfect models for finite Coxeter groups
- Author(s): Marberg, Eric Paul; Zhang, Yifeng
- Source: Journal of Pure and Applied Algebra, v. 227, (5), May 2023, article number 107303
- Year: 2023
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Extending a word property for twisted Coxeter systems
- Author(s): Marberg, Eric Paul
- Source: Advances in Applied Mathematics, v. 145, April 2023, article number 102477
- Year: 2023
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Gelfand W-graphs for classical Weyl groups
- Author(s): Marberg, Eric Paul; Zhang, Yifeng
- Source: Journal of Algebra, v. 609, 1 November 2022, p. 292-336
- Year: 2022
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Bumping operators and insertion algorithms for queer supercrystals
- Author(s): Marberg, Eric Paul
- Source: Selecta Mathematica, New Series, v. 28, (2), January 2022, article number 36
- Year: 2022
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Gröbner geometry for skew-symmetric matrix Schubert varieties
- Author(s): Marberg, Eric Paul; Pawlowski, Brendan
- Source: Advances in Mathematics, v. 405, 27 August 2022, article number 108488
- Year: 2022
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Linear compactness and combinatorial bialgebras
- Author(s): Marberg, Eric Paul
- Source: Electronic Journal of Combinatorics, v. 28, (3), July 2021, article number P3.9
- Year: 2021
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Principal specializations of Schubert polynomials in classical types
- Author(s): Marberg, Eric Paul; Pawlowski, Brendan
- Source: Algebraic Combinatorics, v. 4, (2), April 2021, p. 273-287
- Year: 2021
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Enriched set-valued P-partitions and shifted stable Grothendieck polynomials
- Author(s): Lewis, Joel Brewster; Marberg, Eric Paul
- Source: Mathematische Zeitschrift, April 2021
- Year: 2021
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Atoms for signed permutations
- Author(s): Hamaker, Zachary; Marberg, Eric Paul
- Source: European Journal of Combinatorics, v. 94, May 2021, article number 103288
- Year: 2021
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On Some Properties of Symplectic Grothendieck Polynomials
- Author(s): Marberg, Eric Paul ; Pawlowski, Brendan
- Source: Journal of Pure and Applied Algebra, v. 225, (1), January 2021, article number 106463
- Year: 2021
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K-Theory Formulas for Orthogonal and Symplectic Orbit Closures
- Author(s): Marberg, Eric Paul ; Pawlowski, Brendan
- Source: Advances in Mathematics, v. 372, 7 October 2020, article number 107299
- Year: 2020
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Bialgebras for Stanley symmetric functions
- Author(s): Marberg, Eric Paul
- Source: Discrete Mathematics, v.343, (4), April 2020, article number 111778
- Year: 2020
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Fixed-point-free involutions and Schur P-positivity
- Author(s): Hamaker, Zachary; Marberg, Eric Paul; Pawlowski, Brendan
- Source: Journal of Combinatorics, v. 11, (1), 2020, p. 65-110
- Year: 2019
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Stanley Symmetric Functions for Signed Involutions
- Author(s): Marberg, Eric Paul ; Pawlowski, Brendan
- Source: Journal of Combinatorial Theory. Series A, v. 168, November 2019, p. 288-317
- Year: 2019
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On some actions of the 0-Hecke monoids of affine symmetric groups
- Author(s): Marberg, Eric Paul
- Source: JOURNAL OF COMBINATORIAL THEORY SERIES A, v. 161, January 2019, p. 178-219
- Year: 2019
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Transition formulas for involution Schubert polynomials
- Author(s): Hamaker, Zachary; Marberg, Eric Paul ; Pawlowski, Brendan
- Source: Selecta Mathematica, v. 24, (4), September 2018, p. 2991-3025
- Year: 2018
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Involution words: Counting problems and connections to Schubert calculus for symmetric orbit closures
- Author(s): Hamaker, Zachary; Marberg, Eric Paul ; Pawlowski, Brendan
- Source: Journal of Combinatorial Theory. Series A. , v. 160, November 2018, p. 217-260
- Year: 2018
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Schur P-positivity and involution Stanley symmetric functions
- Author(s): Hamaker, zachary; Marberg, Eric Paul ; Pawlowski, brendan
- Source: International Mathematics Research Notices. , 8 November 2017, article number rnx274
- Year: 2017
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Variations of the Poincare Series for Affine Weyl Groups and q-Analogues of Chebyshev Polynomials
- Author(s): Marberg, Eric Paul; White, Graham
- Source: Advances in Applied Mathematics. , v. 82, January 2017, p. 129-154
- Year: 2017
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Involution Words II: Braid Relations and Atomic Structures
- Author(s): Hamaker, Zachary; Marberg, Eric Paul; Pawlowski, Brendan
- Source: Journal of Algebraic Combinatorics. , v. 45, (3), May 2017, p. 701-743
- Year: 2017
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Bar Operators for Quasiparabolic Conjugacy Classes in a Coxeter Group
- Author(s): Marberg, Eric Paul
- Source: Journal of Algebra. , v. 453, May 2016, p. 325-363
- Year: 2016
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Strong Forms of Self-Duality for Hopf Monoids in Species
- Author(s): Marberg, Eric Paul
- Source: Transactions of the American Mathematical Society. , v. 368, (8), 2016, p. 5433-5473
- Year: 2016
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Strong Forms of Linearization for Hopf Monoids in Species
- Author(s): Marberg, Eric Paul
- Source: Journal of Algebraic Combinatorics. , v. 42, (2), September 2015, p. 391-428
- Year: 2015
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Positivity Conjectures for Kazhdan-Lusztig Theory on Twisted Involutions: The Universal Case
- Author(s): Marberg, Eric Paul
- Source: Representation Theory. , v. 18, (1), 2014, p. 88-116
- Year: 2014
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Positivity Conjectures for Kazhdan-Lusztig Theory on Twisted Involutions: The Finite Case
- Author(s): Marberg, Eric Paul
- Source: Journal of Algebra. , v. 413, September 2014, p. 198-225
- Year: 2014
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Isomorphisms, Automorphisms, and Generalized Involution Models of Projective Reflection Groups
- Author(s): Caselli, Fabrizio; Marberg, Eric Paul
- Source: Israel Journal of Mathematics. , v. 199, (1), January 2014, p. 433-483
- Year: 2014
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Crossings and nestings in colored set partitions
- Author(s): Marberg, Eric
- Source: Electronic Journal of Combinatorics, v. 20, (4), October 2013
- Year: 2013
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How to Compute the Frobenius-Schur Indicator of a Unipotent Character of a Finite Coxeter System
- Author(s): Marberg, Eric Paul
- Source: Advances in Mathematics. , v. 240, June 2013, p. 484-519
- Year: 2013
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Superclasses and supercharacters of normal pattern subgroups of the unipotent upper triangular matrix group
- Author(s): Marberg, Eric Paul
- Source: Journal of Algebraic Combinatorics. , v. 35, (1), February 2012, p. 61-92
- Year: 2012
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Exotic Characters of Unitriangular Matrix Groups
- Author(s): Marberg, Eric Paul
- Source: Journal of Pure and Applied Algebra. , v. 216, (2), February 2012, p. 239-254
- Year: 2012
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Actions and identities on set partitions
- Author(s): Marberg, Eric Paul
- Source: The Electronic Journal of Combinatorics. , v. 19, (1), January 2012, article number 28
- Year: 2012
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Supercharacters, symmetric functions in noncommuting variables, and related Hopf algebras
- Author(s): Aguiar, Marcelo; Andre, Carlos A.M.; Benedetti, Carolina; Bergeron, Nantel; Chen, Zhi; Diaconis, Persi; Hendrickson, Anders; Hsiao, Samuel; Isaacs, I. Martin; Jedwab, Andrea; Johnson, Kenneth; Karaali, Gizem; Lauve, Aaron; Le, Tung; Lewis, Stephen; Li, Hu
- Source: Advances in Mathematics. , v. 229, (4), March 2012, p. 2310-2337
- Year: 2012
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Heisenberg Characters, Unitriangular Groups, and Fibonacci Numbers
- Author(s): Marberg, Eric Paul
- Source: Journal of Combinatorial Theory, Series A. , v. 119, (4), May 2012, p. 882-903
- Year: 2012
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Generalized Involution Models for Wreath Products
- Author(s): Marberg, Eric Paul
- Source: Israel Journal of Mathematics. , v. 192, (1), November 2012, p. 157-195
- Year: 2012
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Combinatorial Methods of Character Enumeration for the Unitriangular Group
- Author(s): Marberg, Eric Paul
- Source: Journal of Algebra. , v. 345, (1), November 2011, p. 295-323
- Year: 2011
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A Supercharacter Analogue for Normality
- Author(s): Marberg, Eric Paul
- Source: Journal of Algebra. , v. 332, (1), April 2011, p. 334-365
- Year: 2011
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Iterative Character Constructions for Algebra Groups
- Author(s): Marberg, Eric Paul
- Source: Advances in Mathematics. , v. 228, (5), December 2011, p. 2743-2765
- Year: 2011
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Automorphisms and generalized involution models of finite complex reflection groups
- Author(s): Marberg, Eric Paul
- Source: Journal of Algebra. , v. 334, (1), May 2011, p. 295-320
- Year: 2011
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Superinduction for Pattern Groups
- Author(s): Marberg, Eric Paul; Thiem, Nathaniel
- Source: Journal of Algebra. , v. 321, (12), 2009, p. 3681-3703
- Year: 2009
Book chapter
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Comparing and Characterizing some Constructions of Canonical Bases from Coxeter Systems
- Author(s): Marberg, Eric Paul
- Source: Representations of Reductive Groups. , Editors: Monica Nevins, Peter E. Trapa. Switzerland : Birkhäuser, Cham, 2015, p. 399-436, Series: Progress in Mathematics
- Year: 2015
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Generalized involution models of projective reflection groups
- Author(s): Caselli, fabrizio; Marberg, eric paul
- Source: Combinatorial Methods in Topology and Algebra. , Bruno Benedetti, Emanuele Delucchi, Luca Moci(Eds.). Springer International Publishing, 2015, p. 19-23
- Year: 2015
Conference paper
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Highest Weight Crystals for Schur Q-Functions
- Author(s): Marberg, Eric Paul; Tong, Kam Hung
- Source: Séminaire Lotharingien de Combinatoire - FPSAC 2022, (86B), April 2022, article number 69
- Year: 2022
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Gröbner Geometry for Skew-Symmetric Matrix Schubert Varieties
- Author(s): Marberg, Eric Paul; Pawlowski, Brendan
- Source: Séminaire Lotharingien de Combinatoire, (85B), January 2022, article number 90
- Year: 2022
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Perfect Models and Gelfand W-Graphs
- Author(s): Marberg, Eric Paul; Zhang, Yifeng
- Source: Séminaire Lotharingien de Combinatoire, (85B), January 2022, article number 50
- Year: 2022
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Involution pipe dreams
- Author(s): Hamaker, Zachary; Marberg, Eric Paul; Pawlowski, Brendan
- Source: Séminaire Lotharingien de Combinatoire=Proceedings of the 31st Conference on Formal Power Series and Algebraic Combinatorics (Ljubljana), v. 82B, 2019, article number 63
- Year: 2019
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Affine transitions for involution Stanley symmetric functions
- Author(s): Marberg, Eric Paul ; Zhang, Yifeng
- Source: Séminaire Lotharingien de Combinatoire=Proceedings of the 31st Conference on Formal Power Series and Algebraic Combinatorics (Ljubljana), v. 82B, 2019, article number 66
- Year: 2019
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Actions of the 0-Hecke monoids of affine symmetric groups
- Author(s): Marberg, Eric Paul
- Source: Séminaire Lotharingien de Combinatoire - FPSAC 2018, (80B), July 2018, article number 65
- Year: 2019
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Involution Schubert-Coxeter Combinatorics
- Author(s): Hamaker, zachary; Marberg, Eric Paul; Pawlowski, brendan
- Source: Proceedings of the 29th International Conference on Formal Power Series and Algebraic Combinatorics. , (78B), article number 51
- Year: 2017
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Supercharacters, symmetric functions in noncommuting variables (extended abstract)
- Author(s): Aguiar, Marcelo; Andre, Carlos A.M.; Benedetti, Carolina; Bergeron, Nantel; Chen, Zhi; Diaconis, Persi W.; Hendrickson, Anders O.F.; Hsiao, Samuel; Isaacs, I. Martin; Jedwab, Andrea; Johnson, Kenneth; Karaali, Gizem; Lauve, Aaron; Le, Tung; Lewis, Stephen
- Source: DMTCS Proceedings, 23rd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2011). , 2011, p. 3-14
- Year: 2011