Faculty Profiles - MARBERG Eric Paul | The Hong Kong University of Science and Technology

Eric Paul MARBERG

PhD in Mathematics
Massachusetts Institute of Technology, 2013

Associate Professor
Department of Mathematics

(852) 3469 2245
emarberg@ust.hk
Room 3492
Personal Web

Google Scholar

Z-xfgPwAAAAJ

ORCID

0000-0001-8372-2575

Scopus ID

26428316800

Research Interest Publications Projects Teaching Assignment RPG Supervision Space used

Research Interest

Combinatorics
Representation theory
Hopf algebra
Discrete mathematics and combinatorics
Algebras and quantum groups

Publications

All Years 63 2025 0 2024 6 2023 6 2022 9 2021 5 2020 2 2019 35

2024 6

Combinatorial formulas for shifted dual stable Grothendieck polynomials

Forum of Mathematics, Sigma, v. 12, February 2024, article number e22
Lewis, Joel; Marberg, Eric Paul
Article

Expanding K-theoretic Schur Q-functions

Algebraic Combinatorics, v. 6, (6), January 2024, p. 1419-1445
Yu-Cheng, Chiu; Marberg, Eric Paul
Article

Insertion Algorithms for Gelfand S_n-Graphs

Annals of Combinatorics, June 2024, p. 1-44
Marberg, Eric Paul; Zhang, Yifeng
Article

Shifted combinatorial Hopf algebras from K-theory

Algebraic Combinatorics, v. 7, (4), September 2024, p. 1123-1156
Marberg, Eric Paul
Article

Crystals for variations of decomposition tableaux

Marberg, Eric Paul; Tong, Kam Hung
Conference paper

Kromatic Quasisymmetric Functions

Marberg, Eric Paul
Conference paper

2023 6

Extending a word property for twisted Coxeter systems

Advances in Applied Mathematics, v. 145, April 2023, article number 102477
Marberg, Eric Paul
Article

Highest weight crystals for Schur Q-functions

Combinatorial Theory, v. 3, (2), 2023
Marberg, Eric Paul; Tong, Kam Hung
Article

Perfect models for finite Coxeter groups

Journal of Pure and Applied Algebra, v. 227, (5), May 2023, article number 107303
Marberg, Eric Paul; Zhang, Yifeng
Article

Shifted insertion algorithms for primed words

Combinatorial Theory, v. 3, (3), 2023, article number 14
Marberg, Eric Paul
Article

Combinatorial formulas for shifted dual stable Grothendieck polynomials

Séminaire Lotharingien de Combinatoire, v. 89B, 2023, article number 22
Lewis, Joel Brewster; Marberg, Eric Paul
Conference paper

Shifted key polynomials

Séminaire Lotharingien de Combinatoire, v. 89B, April 2023, article number 66
Marberg, Eric Paul; Scrimshaw, Travis
Conference paper

2022 9

Affine Transitions for Involution Stanley Symmetric Functions

European Journal Of Combinatorics, v. 101, March 2022, article number 103463
Marberg, Eric Paul; Zhang, Yifeng
Article

Bumping operators and insertion algorithms for queer supercrystals

Selecta Mathematica, New Series, v. 28, (2), January 2022, article number 36
Marberg, Eric Paul
Article

Gelfand W-graphs for classical Weyl groups

Journal of Algebra, v. 609, November 2022, p. 292-336
Marberg, Eric Paul; Zhang, Yifeng
Article

Gröbner geometry for skew-symmetric matrix Schubert varieties

Advances in Mathematics, v. 405, 27 August 2022, article number 108488
Marberg, Eric Paul; Pawlowski, Brendan
Article

Involution pipe dreams

Canadian Journal of Mathematics, v. 74, (5), October 2022, p. 1310-1346
Hamaker, Zachary; Marberg, Eric Paul; Pawlowski, Brendan
Article

Gröbner Geometry for Skew-Symmetric Matrix Schubert Varieties

Séminaire Lotharingien de Combinatoire, v. 85B, January 2022, article number 90
Marberg, Eric Paul; Pawlowski, Brendan
Conference paper

Highest Weight Crystals for Schur Q-Functions

Proceedings of the 34th Conference on Formal Power Series and Algebraic Combinatorics (Bangalore), (86B), April 2022, article number 69
Marberg, Eric Paul; Tong, Kam Hung
Conference paper

Perfect Models and Gelfand W-Graphs

Séminaire Lotharingien de Combinatoire, v. 85B, January 2022, article number 50
Marberg, Eric Paul; Zhang, Yifeng
Conference paper

Principal Specializations of Schubert Polynomials in Classical Types

Séminaire Lotharingien de Combinatoire, v. 85B, January 2022, article number 67
Marberg, Eric Paul; Pawlowski, Brendan
Conference paper

2021 5

Atoms for signed permutations

European Journal of Combinatorics, v. 94, May 2021, article number 103288
Hamaker, Zachary; Marberg, Eric Paul
Article

Enriched set-valued P-partitions and shifted stable Grothendieck polynomials

Mathematische Zeitschrift, 26 April 2021
Lewis, Joel Brewster; Marberg, Eric Paul
Article

Linear compactness and combinatorial bialgebras

Electronic Journal of Combinatorics, v. 28, (3), July 2021, article number P3.9
Marberg, Eric Paul
Article

On Some Properties of Symplectic Grothendieck Polynomials

Journal of Pure and Applied Algebra, v. 225, (1), January 2021, article number 106463
Marberg, Eric Paul; Pawlowski, Brendan
Article

Principal specializations of Schubert polynomials in classical types

Algebraic Combinatorics, v. 4, (2), April 2021, p. 273-287
Marberg, Eric Paul; Pawlowski, Brendan
Article

2020 2

Bialgebras for Stanley symmetric functions

Discrete Mathematics, v.343, (4), April 2020, article number 111778
Marberg, Eric Paul
Article

K-Theory Formulas for Orthogonal and Symplectic Orbit Closures

Advances in Mathematics, v. 372, 7 October 2020, article number 107299
Marberg, Eric Paul; Pawlowski, Brendan
Article

2019 8

Fixed-point-free involutions and Schur P-positivity

Journal of Combinatorics, v. 11, (1), September 2019, p. 65-110
Hamaker, Zachary; Marberg, Eric Paul; Pawlowski, Brendan
Article

On some actions of the 0-Hecke monoids of affine symmetric groups

JOURNAL OF COMBINATORIAL THEORY SERIES A, v. 161, January 2019, p. 178-219
Marberg, Eric Paul
Article

Schur P-positivity and Involution Stanley Symmetric Functions

International Mathematics Research Notices, v. 2019, (17), September 2019, p. 5389-5440
Hamaker, Zachary; Marberg, Eric Paul; Pawlowski, Brendan
Article

Stanley Symmetric Functions for Signed Involutions

Journal of Combinatorial Theory. Series A, v. 168, November 2019, p. 288-317
Marberg, Eric Paul; Pawlowski, Brendan
Article

Actions of the 0-Hecke monoids of affine symmetric groups

FPSAC 2018 - 30th international conference on Formal Power Series and Algebraic Combinatorics, July 2018, article number 65
Marberg, Eric Paul
Conference paper

Affine transitions for involution Stanley symmetric functions

Séminaire Lotharingien de Combinatoire=Proceedings of the 31st Conference on Formal Power Series and Algebraic Combinatorics (Ljubljana), v. 82B, 2019, article number 66
Marberg, Eric Paul; Zhang, Yifeng
Conference paper

Involution pipe dreams

Séminaire Lotharingien de Combinatoire=Proceedings of the 31st Conference on Formal Power Series and Algebraic Combinatorics (Ljubljana), v. 82B, 2019, article number 63
Hamaker, Zachary; Marberg, Eric Paul; Pawlowski, Brendan
Conference paper

Stanley Symmetric Functions for Signed Involutions

Séminaire Lotharingien de Combinatoire=Proceedings of the 31st Conference on Formal Power Series and Algebraic Combinatorics (Ljubljana), v. 82B, 2019, article number 29
Marberg, Eric Paul; Zhang, Yifeng
Conference paper

2018 2

Involution words: counting problems and connections to schubert calculus for symmetric orbit closures

Journal of Combinatorial Theory. Series A, v. 160, November 2018, p. 217-260
Hamaker, Zachary; Marberg, Eric Paul; Pawlowski, Brendan
Article

Transition formulas for involution Schubert polynomials

Selecta Mathematica, v. 24, (4), September 2018, p. 2991-3025
Hamaker, Zachary; Marberg, Eric Paul; Pawlowski, Brendan
Article

2017 3

Involution Words II: Braid Relations and Atomic Structures

Journal of Algebraic Combinatorics, v. 45, (3), May 2017, p. 701-743
Hamaker, Zachary; Marberg, Eric Paul; Pawlowski, Brendan
Article

Variations of the Poincare Series for Affine Weyl Groups and q-Analogues of Chebyshev Polynomials

Advances in Applied Mathematics, v. 82, January 2017, p. 129-154
Marberg, Eric Paul; White, Graham
Article

Involution Schubert-Coxeter Combinatorics

Proceedings of the 29th International Conference on Formal Power Series and Algebraic Combinatorics, (78B), article number 51
Hamaker, zachary; Marberg, Eric Paul; Pawlowski, brendan
Conference paper

2016 2

Bar Operators for Quasiparabolic Conjugacy Classes in a Coxeter Group

Journal of Algebra, v. 453, May 2016, p. 325-363
Marberg, Eric Paul
Article

Strong Forms of Self-Duality for Hopf Monoids in Species

Transactions of the American Mathematical Society, v. 368, (8), August 2016, p. 5433-5473
Marberg, Eric Paul
Article

2015 3

Strong Forms of Linearization for Hopf Monoids in Species

Journal of Algebraic Combinatorics, v. 42, (2), September 2015, p. 391-428
Marberg, Eric Paul
Article

Comparing and Characterizing some Constructions of Canonical Bases from Coxeter Systems

Representations of Reductive Groups / edited by Monica Nevins, Peter E. Trapa. Switzerland : Birkhäuser, Cham, 2015, p. 399-436, Book series: Progress in Mathematics, v. 312
Marberg, Eric Paul
Book chapter

Generalized involution models of projective reflection groups

Combinatorial Methods in Topology and Algebra /Edited by Bruno Benedetti, Emanuele Delucchi, Luca Moci. Switzerland : Springer International Publishing, 2015, p. 19-23
Caselli, fabrizio; Marberg, eric paul
Book chapter

2014 3

Isomorphisms, Automorphisms, and Generalized Involution Models of Projective Reflection Groups

Israel Journal of Mathematics, v. 199, (1), January 2014, p. 433-483
Caselli, Fabrizio; Marberg, Eric Paul
Article

Positivity Conjectures for Kazhdan-Lusztig Theory on Twisted Involutions: The Finite Case

Journal of Algebra, v. 413, September 2014, p. 198-225
Marberg, Eric Paul
Article

Positivity Conjectures for Kazhdan-Lusztig Theory on Twisted Involutions: The Universal Case

Representation Theory, v. 18, (1), 2014, p. 88-116
Marberg, Eric Paul
Article

2013 2

Crossings and nestings in colored set partitions

Electronic Journal of Combinatorics, v. 20, (4), October 2013
Marberg, Eric
Article

How to Compute the Frobenius-Schur Indicator of a Unipotent Character of a Finite Coxeter System

Advances in Mathematics, v. 240, June 2013, p. 484-519
Marberg, Eric Paul
Article

2012 6

Actions and identities on set partitions

The Electronic Journal of Combinatorics, v. 19, (1), January 2012, article number 28
Marberg, Eric Paul
Article

Exotic Characters of Unitriangular Matrix Groups

Journal of Pure and Applied Algebra, v. 216, (2), February 2012, p. 239-254
Marberg, Eric Paul
Article

Generalized Involution Models for Wreath Products

Israel Journal of Mathematics, v. 192, (1), November 2012, p. 157-195
Marberg, Eric Paul
Article

Heisenberg Characters, Unitriangular Groups, and Fibonacci Numbers

Journal of Combinatorial Theory, Series A, v. 119, (4), May 2012, p. 882-903
Marberg, Eric Paul
Article

Supercharacters, symmetric functions in noncommuting variables, and related Hopf algebras

Advances in Mathematics, v. 229, (4), March 2012, p. 2310-2337
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, Huilan; Magaard, Kay; Marberg, Eric; Novelli, Jean Christophe; Pang, Amy; Saliola, Franco; Tevlin, Lenny; Thibon, Jean Yves; Thiem, Nathaniel; Venkateswaran, Vidya; Vinroot, C. Ryan; Yan, Ning; Zabrocki, Mike
Article

Superclasses and supercharacters of normal pattern subgroups of the unipotent upper triangular matrix group

Journal of Algebraic Combinatorics, v. 35, (1), February 2012, p. 61-92
Marberg, Eric Paul
Article

2011 5

A Supercharacter Analogue for Normality

Journal of Algebra, v. 332, (1), April 2011, p. 334-365
Marberg, Eric Paul
Article

Automorphisms and generalized involution models of finite complex reflection groups

Journal of Algebra, v. 334, (1), May 2011, p. 295-320
Marberg, Eric Paul
Article

Combinatorial Methods of Character Enumeration for the Unitriangular Group

Journal of Algebra, v. 345, (1), November 2011, p. 295-323
Marberg, Eric Paul
Article

Iterative Character Constructions for Algebra Groups

Advances in Mathematics, v. 228, (5), December 2011, p. 2743-2765
Marberg, Eric Paul
Article

Supercharacters, symmetric functions in noncommuting variables (extended abstract)

DMTCS Proceedings, 23rd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2011), 2011, p. 3-14
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 A.; Li, Huilan; Magaard, Kay; Marberg, Eric Paul; Novelli, Jean Christophe; Pang, Amy; Saliola, Franco V.; Tevlin, Lenny S.; Thibon, Jean Yves; Thiem, Nathaniel; Venkateswaran, Vidya; Vinroot, C. Ryan; Yan, Ning; Zabrocki, Mike
Conference paper

2009 1

Superinduction for Pattern Groups

Journal of Algebra, v. 321, (12), June 2009, p. 3681-3703
Marberg, Eric Paul; Thiem, Nathaniel
Article

Article 4

Combinatorial formulas for shifted dual stable Grothendieck polynomials

Forum of Mathematics, Sigma, v. 12, February 2024, article number e22
Lewis, Joel; Marberg, Eric Paul

Expanding K-theoretic Schur Q-functions

Algebraic Combinatorics, v. 6, (6), January 2024, p. 1419-1445
Yu-Cheng, Chiu; Marberg, Eric Paul

Insertion Algorithms for Gelfand S_n-Graphs

Annals of Combinatorics, June 2024, p. 1-44
Marberg, Eric Paul; Zhang, Yifeng

Shifted combinatorial Hopf algebras from K-theory

Algebraic Combinatorics, v. 7, (4), September 2024, p. 1123-1156
Marberg, Eric Paul

Conference paper 2

Crystals for variations of decomposition tableaux

Marberg, Eric Paul; Tong, Kam Hung

Kromatic Quasisymmetric Functions

Marberg, Eric Paul

Article 4

Extending a word property for twisted Coxeter systems

Advances in Applied Mathematics, v. 145, April 2023, article number 102477
Marberg, Eric Paul

Highest weight crystals for Schur Q-functions

Combinatorial Theory, v. 3, (2), 2023
Marberg, Eric Paul; Tong, Kam Hung

Perfect models for finite Coxeter groups

Journal of Pure and Applied Algebra, v. 227, (5), May 2023, article number 107303
Marberg, Eric Paul; Zhang, Yifeng

Shifted insertion algorithms for primed words

Combinatorial Theory, v. 3, (3), 2023, article number 14
Marberg, Eric Paul

Conference paper 2

Combinatorial formulas for shifted dual stable Grothendieck polynomials

Séminaire Lotharingien de Combinatoire, v. 89B, 2023, article number 22
Lewis, Joel Brewster; Marberg, Eric Paul

Shifted key polynomials

Séminaire Lotharingien de Combinatoire, v. 89B, April 2023, article number 66
Marberg, Eric Paul; Scrimshaw, Travis

Article 5

Affine Transitions for Involution Stanley Symmetric Functions

European Journal Of Combinatorics, v. 101, March 2022, article number 103463
Marberg, Eric Paul; Zhang, Yifeng

Bumping operators and insertion algorithms for queer supercrystals

Selecta Mathematica, New Series, v. 28, (2), January 2022, article number 36
Marberg, Eric Paul

Gelfand W-graphs for classical Weyl groups

Journal of Algebra, v. 609, November 2022, p. 292-336
Marberg, Eric Paul; Zhang, Yifeng

Gröbner geometry for skew-symmetric matrix Schubert varieties

Advances in Mathematics, v. 405, 27 August 2022, article number 108488
Marberg, Eric Paul; Pawlowski, Brendan

Involution pipe dreams

Canadian Journal of Mathematics, v. 74, (5), October 2022, p. 1310-1346
Hamaker, Zachary; Marberg, Eric Paul; Pawlowski, Brendan

Conference paper 4

Gröbner Geometry for Skew-Symmetric Matrix Schubert Varieties

Séminaire Lotharingien de Combinatoire, v. 85B, January 2022, article number 90
Marberg, Eric Paul; Pawlowski, Brendan

Highest Weight Crystals for Schur Q-Functions

Proceedings of the 34th Conference on Formal Power Series and Algebraic Combinatorics (Bangalore), (86B), April 2022, article number 69
Marberg, Eric Paul; Tong, Kam Hung

Perfect Models and Gelfand W-Graphs

Séminaire Lotharingien de Combinatoire, v. 85B, January 2022, article number 50
Marberg, Eric Paul; Zhang, Yifeng

Principal Specializations of Schubert Polynomials in Classical Types

Séminaire Lotharingien de Combinatoire, v. 85B, January 2022, article number 67
Marberg, Eric Paul; Pawlowski, Brendan

Article 5

Atoms for signed permutations

European Journal of Combinatorics, v. 94, May 2021, article number 103288
Hamaker, Zachary; Marberg, Eric Paul

Enriched set-valued P-partitions and shifted stable Grothendieck polynomials

Mathematische Zeitschrift, 26 April 2021
Lewis, Joel Brewster; Marberg, Eric Paul

Linear compactness and combinatorial bialgebras

Electronic Journal of Combinatorics, v. 28, (3), July 2021, article number P3.9
Marberg, Eric Paul

On Some Properties of Symplectic Grothendieck Polynomials

Journal of Pure and Applied Algebra, v. 225, (1), January 2021, article number 106463
Marberg, Eric Paul; Pawlowski, Brendan

Principal specializations of Schubert polynomials in classical types

Algebraic Combinatorics, v. 4, (2), April 2021, p. 273-287
Marberg, Eric Paul; Pawlowski, Brendan

Article 2

Bialgebras for Stanley symmetric functions

Discrete Mathematics, v.343, (4), April 2020, article number 111778
Marberg, Eric Paul

K-Theory Formulas for Orthogonal and Symplectic Orbit Closures

Advances in Mathematics, v. 372, 7 October 2020, article number 107299
Marberg, Eric Paul; Pawlowski, Brendan

Article 4

Fixed-point-free involutions and Schur P-positivity

Journal of Combinatorics, v. 11, (1), September 2019, p. 65-110
Hamaker, Zachary; Marberg, Eric Paul; Pawlowski, Brendan

On some actions of the 0-Hecke monoids of affine symmetric groups

JOURNAL OF COMBINATORIAL THEORY SERIES A, v. 161, January 2019, p. 178-219
Marberg, Eric Paul

Schur P-positivity and Involution Stanley Symmetric Functions

International Mathematics Research Notices, v. 2019, (17), September 2019, p. 5389-5440
Hamaker, Zachary; Marberg, Eric Paul; Pawlowski, Brendan

Stanley Symmetric Functions for Signed Involutions

Journal of Combinatorial Theory. Series A, v. 168, November 2019, p. 288-317
Marberg, Eric Paul; Pawlowski, Brendan

Conference paper 4

Actions of the 0-Hecke monoids of affine symmetric groups

FPSAC 2018 - 30th international conference on Formal Power Series and Algebraic Combinatorics, July 2018, article number 65
Marberg, Eric Paul

Affine transitions for involution Stanley symmetric functions

Séminaire Lotharingien de Combinatoire=Proceedings of the 31st Conference on Formal Power Series and Algebraic Combinatorics (Ljubljana), v. 82B, 2019, article number 66
Marberg, Eric Paul; Zhang, Yifeng

Involution pipe dreams

Séminaire Lotharingien de Combinatoire=Proceedings of the 31st Conference on Formal Power Series and Algebraic Combinatorics (Ljubljana), v. 82B, 2019, article number 63
Hamaker, Zachary; Marberg, Eric Paul; Pawlowski, Brendan

Stanley Symmetric Functions for Signed Involutions

Séminaire Lotharingien de Combinatoire=Proceedings of the 31st Conference on Formal Power Series and Algebraic Combinatorics (Ljubljana), v. 82B, 2019, article number 29
Marberg, Eric Paul; Zhang, Yifeng

Article 2

Involution words: counting problems and connections to schubert calculus for symmetric orbit closures

Journal of Combinatorial Theory. Series A, v. 160, November 2018, p. 217-260
Hamaker, Zachary; Marberg, Eric Paul; Pawlowski, Brendan

Transition formulas for involution Schubert polynomials

Selecta Mathematica, v. 24, (4), September 2018, p. 2991-3025
Hamaker, Zachary; Marberg, Eric Paul; Pawlowski, Brendan

Article 2

Involution Words II: Braid Relations and Atomic Structures

Journal of Algebraic Combinatorics, v. 45, (3), May 2017, p. 701-743
Hamaker, Zachary; Marberg, Eric Paul; Pawlowski, Brendan

Variations of the Poincare Series for Affine Weyl Groups and q-Analogues of Chebyshev Polynomials

Advances in Applied Mathematics, v. 82, January 2017, p. 129-154
Marberg, Eric Paul; White, Graham

Conference paper 1

Involution Schubert-Coxeter Combinatorics

Proceedings of the 29th International Conference on Formal Power Series and Algebraic Combinatorics, (78B), article number 51
Hamaker, zachary; Marberg, Eric Paul; Pawlowski, brendan

Article 2

Bar Operators for Quasiparabolic Conjugacy Classes in a Coxeter Group

Journal of Algebra, v. 453, May 2016, p. 325-363
Marberg, Eric Paul

Strong Forms of Self-Duality for Hopf Monoids in Species

Transactions of the American Mathematical Society, v. 368, (8), August 2016, p. 5433-5473
Marberg, Eric Paul

Article 1

Strong Forms of Linearization for Hopf Monoids in Species

Journal of Algebraic Combinatorics, v. 42, (2), September 2015, p. 391-428
Marberg, Eric Paul

Book chapter 2

Comparing and Characterizing some Constructions of Canonical Bases from Coxeter Systems

Representations of Reductive Groups / edited by Monica Nevins, Peter E. Trapa. Switzerland : Birkhäuser, Cham, 2015, p. 399-436, Book series: Progress in Mathematics, v. 312
Marberg, Eric Paul

Generalized involution models of projective reflection groups

Combinatorial Methods in Topology and Algebra /Edited by Bruno Benedetti, Emanuele Delucchi, Luca Moci. Switzerland : Springer International Publishing, 2015, p. 19-23
Caselli, fabrizio; Marberg, eric paul

Article 3

Isomorphisms, Automorphisms, and Generalized Involution Models of Projective Reflection Groups

Israel Journal of Mathematics, v. 199, (1), January 2014, p. 433-483
Caselli, Fabrizio; Marberg, Eric Paul

Positivity Conjectures for Kazhdan-Lusztig Theory on Twisted Involutions: The Finite Case

Journal of Algebra, v. 413, September 2014, p. 198-225
Marberg, Eric Paul

Positivity Conjectures for Kazhdan-Lusztig Theory on Twisted Involutions: The Universal Case

Representation Theory, v. 18, (1), 2014, p. 88-116
Marberg, Eric Paul

Article 2

Crossings and nestings in colored set partitions

Electronic Journal of Combinatorics, v. 20, (4), October 2013
Marberg, Eric

How to Compute the Frobenius-Schur Indicator of a Unipotent Character of a Finite Coxeter System

Advances in Mathematics, v. 240, June 2013, p. 484-519
Marberg, Eric Paul

Article 6

Actions and identities on set partitions

The Electronic Journal of Combinatorics, v. 19, (1), January 2012, article number 28
Marberg, Eric Paul

Exotic Characters of Unitriangular Matrix Groups

Journal of Pure and Applied Algebra, v. 216, (2), February 2012, p. 239-254
Marberg, Eric Paul

Generalized Involution Models for Wreath Products

Israel Journal of Mathematics, v. 192, (1), November 2012, p. 157-195
Marberg, Eric Paul

Heisenberg Characters, Unitriangular Groups, and Fibonacci Numbers

Journal of Combinatorial Theory, Series A, v. 119, (4), May 2012, p. 882-903
Marberg, Eric Paul

Supercharacters, symmetric functions in noncommuting variables, and related Hopf algebras

Advances in Mathematics, v. 229, (4), March 2012, p. 2310-2337
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, Huilan; Magaard, Kay; Marberg, Eric; Novelli, Jean Christophe; Pang, Amy; Saliola, Franco; Tevlin, Lenny; Thibon, Jean Yves; Thiem, Nathaniel; Venkateswaran, Vidya; Vinroot, C. Ryan; Yan, Ning; Zabrocki, Mike

Superclasses and supercharacters of normal pattern subgroups of the unipotent upper triangular matrix group

Journal of Algebraic Combinatorics, v. 35, (1), February 2012, p. 61-92
Marberg, Eric Paul

Article 4

A Supercharacter Analogue for Normality

Journal of Algebra, v. 332, (1), April 2011, p. 334-365
Marberg, Eric Paul

Automorphisms and generalized involution models of finite complex reflection groups

Journal of Algebra, v. 334, (1), May 2011, p. 295-320
Marberg, Eric Paul

Combinatorial Methods of Character Enumeration for the Unitriangular Group

Journal of Algebra, v. 345, (1), November 2011, p. 295-323
Marberg, Eric Paul

Iterative Character Constructions for Algebra Groups

Advances in Mathematics, v. 228, (5), December 2011, p. 2743-2765
Marberg, Eric Paul

Conference paper 1

Supercharacters, symmetric functions in noncommuting variables (extended abstract)

DMTCS Proceedings, 23rd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2011), 2011, p. 3-14
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 A.; Li, Huilan; Magaard, Kay; Marberg, Eric Paul; Novelli, Jean Christophe; Pang, Amy; Saliola, Franco V.; Tevlin, Lenny S.; Thibon, Jean Yves; Thiem, Nathaniel; Venkateswaran, Vidya; Vinroot, C. Ryan; Yan, Ning; Zabrocki, Mike

Article 1

Superinduction for Pattern Groups

Journal of Algebra, v. 321, (12), June 2009, p. 3681-3703
Marberg, Eric Paul; Thiem, Nathaniel

2019 8

Fixed-point-free involutions and Schur P-positivity

Journal of Combinatorics, v. 11, (1), September 2019, p. 65-110
Hamaker, Zachary; Marberg, Eric Paul; Pawlowski, Brendan
Article

On some actions of the 0-Hecke monoids of affine symmetric groups

JOURNAL OF COMBINATORIAL THEORY SERIES A, v. 161, January 2019, p. 178-219
Marberg, Eric Paul
Article

Schur P-positivity and Involution Stanley Symmetric Functions

International Mathematics Research Notices, v. 2019, (17), September 2019, p. 5389-5440
Hamaker, Zachary; Marberg, Eric Paul; Pawlowski, Brendan
Article

Stanley Symmetric Functions for Signed Involutions

Journal of Combinatorial Theory. Series A, v. 168, November 2019, p. 288-317
Marberg, Eric Paul; Pawlowski, Brendan
Article

Actions of the 0-Hecke monoids of affine symmetric groups

FPSAC 2018 - 30th international conference on Formal Power Series and Algebraic Combinatorics, July 2018, article number 65
Marberg, Eric Paul
Conference paper

Affine transitions for involution Stanley symmetric functions

Séminaire Lotharingien de Combinatoire=Proceedings of the 31st Conference on Formal Power Series and Algebraic Combinatorics (Ljubljana), v. 82B, 2019, article number 66
Marberg, Eric Paul; Zhang, Yifeng
Conference paper

Involution pipe dreams

Séminaire Lotharingien de Combinatoire=Proceedings of the 31st Conference on Formal Power Series and Algebraic Combinatorics (Ljubljana), v. 82B, 2019, article number 63
Hamaker, Zachary; Marberg, Eric Paul; Pawlowski, Brendan
Conference paper

Stanley Symmetric Functions for Signed Involutions

Séminaire Lotharingien de Combinatoire=Proceedings of the 31st Conference on Formal Power Series and Algebraic Combinatorics (Ljubljana), v. 82B, 2019, article number 29
Marberg, Eric Paul; Zhang, Yifeng
Conference paper

2018 2

Involution words: counting problems and connections to schubert calculus for symmetric orbit closures

Journal of Combinatorial Theory. Series A, v. 160, November 2018, p. 217-260
Hamaker, Zachary; Marberg, Eric Paul; Pawlowski, Brendan
Article

Transition formulas for involution Schubert polynomials

Selecta Mathematica, v. 24, (4), September 2018, p. 2991-3025
Hamaker, Zachary; Marberg, Eric Paul; Pawlowski, Brendan
Article

2017 3

Involution Words II: Braid Relations and Atomic Structures

Journal of Algebraic Combinatorics, v. 45, (3), May 2017, p. 701-743
Hamaker, Zachary; Marberg, Eric Paul; Pawlowski, Brendan
Article

Variations of the Poincare Series for Affine Weyl Groups and q-Analogues of Chebyshev Polynomials

Advances in Applied Mathematics, v. 82, January 2017, p. 129-154
Marberg, Eric Paul; White, Graham
Article

Involution Schubert-Coxeter Combinatorics

Proceedings of the 29th International Conference on Formal Power Series and Algebraic Combinatorics, (78B), article number 51
Hamaker, zachary; Marberg, Eric Paul; Pawlowski, brendan
Conference paper

2016 2

Bar Operators for Quasiparabolic Conjugacy Classes in a Coxeter Group

Journal of Algebra, v. 453, May 2016, p. 325-363
Marberg, Eric Paul
Article

Strong Forms of Self-Duality for Hopf Monoids in Species

Transactions of the American Mathematical Society, v. 368, (8), August 2016, p. 5433-5473
Marberg, Eric Paul
Article

2015 3

Strong Forms of Linearization for Hopf Monoids in Species

Journal of Algebraic Combinatorics, v. 42, (2), September 2015, p. 391-428
Marberg, Eric Paul
Article

Comparing and Characterizing some Constructions of Canonical Bases from Coxeter Systems

Representations of Reductive Groups / edited by Monica Nevins, Peter E. Trapa. Switzerland : Birkhäuser, Cham, 2015, p. 399-436, Book series: Progress in Mathematics, v. 312
Marberg, Eric Paul
Book chapter

Generalized involution models of projective reflection groups

Combinatorial Methods in Topology and Algebra /Edited by Bruno Benedetti, Emanuele Delucchi, Luca Moci. Switzerland : Springer International Publishing, 2015, p. 19-23
Caselli, fabrizio; Marberg, eric paul
Book chapter

2014 3

Isomorphisms, Automorphisms, and Generalized Involution Models of Projective Reflection Groups

Israel Journal of Mathematics, v. 199, (1), January 2014, p. 433-483
Caselli, Fabrizio; Marberg, Eric Paul
Article

Positivity Conjectures for Kazhdan-Lusztig Theory on Twisted Involutions: The Finite Case

Journal of Algebra, v. 413, September 2014, p. 198-225
Marberg, Eric Paul
Article

Positivity Conjectures for Kazhdan-Lusztig Theory on Twisted Involutions: The Universal Case

Representation Theory, v. 18, (1), 2014, p. 88-116
Marberg, Eric Paul
Article

2013 2

Crossings and nestings in colored set partitions

Electronic Journal of Combinatorics, v. 20, (4), October 2013
Marberg, Eric
Article

How to Compute the Frobenius-Schur Indicator of a Unipotent Character of a Finite Coxeter System

Advances in Mathematics, v. 240, June 2013, p. 484-519
Marberg, Eric Paul
Article

2012 6

Actions and identities on set partitions

The Electronic Journal of Combinatorics, v. 19, (1), January 2012, article number 28
Marberg, Eric Paul
Article

Exotic Characters of Unitriangular Matrix Groups

Journal of Pure and Applied Algebra, v. 216, (2), February 2012, p. 239-254
Marberg, Eric Paul
Article

Generalized Involution Models for Wreath Products

Israel Journal of Mathematics, v. 192, (1), November 2012, p. 157-195
Marberg, Eric Paul
Article

Heisenberg Characters, Unitriangular Groups, and Fibonacci Numbers

Journal of Combinatorial Theory, Series A, v. 119, (4), May 2012, p. 882-903
Marberg, Eric Paul
Article

Supercharacters, symmetric functions in noncommuting variables, and related Hopf algebras

Advances in Mathematics, v. 229, (4), March 2012, p. 2310-2337
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, Huilan; Magaard, Kay; Marberg, Eric; Novelli, Jean Christophe; Pang, Amy; Saliola, Franco; Tevlin, Lenny; Thibon, Jean Yves; Thiem, Nathaniel; Venkateswaran, Vidya; Vinroot, C. Ryan; Yan, Ning; Zabrocki, Mike
Article

Superclasses and supercharacters of normal pattern subgroups of the unipotent upper triangular matrix group

Journal of Algebraic Combinatorics, v. 35, (1), February 2012, p. 61-92
Marberg, Eric Paul
Article

2011 5

A Supercharacter Analogue for Normality

Journal of Algebra, v. 332, (1), April 2011, p. 334-365
Marberg, Eric Paul
Article

Automorphisms and generalized involution models of finite complex reflection groups

Journal of Algebra, v. 334, (1), May 2011, p. 295-320
Marberg, Eric Paul
Article

Combinatorial Methods of Character Enumeration for the Unitriangular Group

Journal of Algebra, v. 345, (1), November 2011, p. 295-323
Marberg, Eric Paul
Article

Iterative Character Constructions for Algebra Groups

Advances in Mathematics, v. 228, (5), December 2011, p. 2743-2765
Marberg, Eric Paul
Article

Supercharacters, symmetric functions in noncommuting variables (extended abstract)

DMTCS Proceedings, 23rd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2011), 2011, p. 3-14
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 A.; Li, Huilan; Magaard, Kay; Marberg, Eric Paul; Novelli, Jean Christophe; Pang, Amy; Saliola, Franco V.; Tevlin, Lenny S.; Thibon, Jean Yves; Thiem, Nathaniel; Venkateswaran, Vidya; Vinroot, C. Ryan; Yan, Ning; Zabrocki, Mike
Conference paper

2009 1

Superinduction for Pattern Groups

Journal of Algebra, v. 321, (12), June 2009, p. 3681-3703
Marberg, Eric Paul; Thiem, Nathaniel
Article

No Publications

Teaching Assignment

2024-25 Spring 0 2024-25 Winter 0 2024-25 Fall 2 2023-24 Summer 0 2023-24 Spring 2 2023-24 Winter 0

MATH2121	Linear Algebra
MFIT5006	Mathematical Foundation of FinTech

MATH4991	Capstone Project in Pure Mathematics
MATH5112	Advanced Algebra II

No Teaching Assignments

Research Postgraduate (RPG) Supervision

From January 2022 to December 2025 (As of 02 April 2025)

Graduated RPGs

Doctor of Philosophy

TONG, Kam Hung
Mathematics( Completed in 2024 )
ZHANG, Yifeng
Mathematics( Completed in 2022 )

Master of Philosophy

WEN, Jiayi
Mathematics( Completed in 2024 )
PANG, Wai Ho
Mathematics( Completed in 2022 )

Projects

From January 2023 to December 2025

All Projects 2

No Projects.
Key polynomials for symmetric spaces

對稱空間的關鍵多項式 Leading

RGC - General Research Fund
Project Team (HKUST)
MARBERG Eric Paul (Lead)
2023 -
Crystals and K-theory for symmetric varieties

關于對稱簇的K-理論與晶體 Leading

RGC - General Research Fund
Project Team (HKUST)
MARBERG Eric Paul (Lead)
2021 - 2023

Research Interest

Publications

2024 6

2023 6

2022 9

2021 5

2020 2

2019 8

2018 2

2017 3

2016 2

2015 3

2014 3

2013 2

2012 6

2011 5

2009 1

Article 4

Conference paper 2

Article 4

Conference paper 2

Article 5

Conference paper 4

Article 5

Article 2

Article 4

Conference paper 4

Article 2

Article 2

Conference paper 1

Article 2

Article 1

Book chapter 2

Article 3

Article 2

Article 6

Article 4

Conference paper 1

Article 1

2019 8

2018 2

2017 3

2016 2

2015 3

2014 3

2013 2

2012 6

2011 5

2009 1

Teaching Assignment

Research Postgraduate (RPG) Supervision

From January 2022 to December 2025 (As of 02 April 2025)

Graduated RPGs

Projects

From January 2023 to December 2025

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