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emarberg
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MARBERG, Eric


Phone: (852) 3469 2245
Email: emarberg@ust.hk
Office: Room 3492
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Associate Professor



Research Interests

Representation theory, algebraic combinatorics

Teaching

  • MATH5112  Advanced Algebra II

Selected Publications

  Article

  1. 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

  2. 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

  3. Affine Transitions for Involution Stanley Symmetric Functions
    • Author(s): Marberg, Eric Paul; Zhang, Yifeng
    • Source: European Journal Of Combinatorics, v. 101, March 2022, article number 103463
    • Year: 2022

  4. Involution pipe dreams
    • Author(s): Hamaker, Zachary; Marberg, Eric Paul; Pawlowski, Brendan
    • Source: Canadian Journal of Mathematics, v. 74, (5), October 2022, p. 1310-1346
    • Year: 2022

  5. Gelfand W-graphs for classical Weyl groups
    • Author(s): Marberg, Eric Paul; Zhang, Yifeng
    • Source: Journal of Algebra, v. 609, November 2022, p. 292-336
    • Year: 2022

  6. 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

  7. 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

  8. 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

  9. 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

  10. Enriched set-valued P-partitions and shifted stable Grothendieck polynomials
    • Author(s): Lewis, Joel Brewster; Marberg, Eric Paul
    • Source: Mathematische Zeitschrift, 26 April 2021
    • Year: 2021

  11. 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

  12. 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

  13. 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

  14. Bialgebras for Stanley symmetric functions
    • Author(s): Marberg, Eric Paul
    • Source: Discrete Mathematics, v.343, (4), April 2020, article number 111778
    • Year: 2020

  15. 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

  16. 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

  17. Schur P-positivity and Involution Stanley Symmetric Functions
    • Author(s): Hamaker, Zachary; Marberg, Eric Paul; Pawlowski, Brendan
    • Source: International Mathematics Research Notices, v. 2019, (17), September 2019, p. 5389-5440
    • Year: 2019

  18. 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

  19. 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

  20. 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

  21. 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

  22. 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

  23. 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), August 2016, p. 5433-5473
    • Year: 2016

  24. 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

  25. 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

  26. 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

  27. 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

  28. 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

  29. 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

  30. Crossings and nestings in colored set partitions
    • Author(s): Marberg, Eric
    • Source: Electronic Journal of Combinatorics, v. 20, (4), October 2013
    • Year: 2013

  31. 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

  32. 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

  33. 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

  34. 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

  35. 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

  36. 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

  37. 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

  38. 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

  39. A Supercharacter Analogue for Normality
    • Author(s): Marberg, Eric Paul
    • Source: Journal of Algebra, v. 332, (1), April 2011, p. 334-365
    • Year: 2011

  40. 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

  41. Superinduction for Pattern Groups
    • Author(s): Marberg, Eric Paul; Thiem, Nathaniel
    • Source: Journal of Algebra, v. 321, (12), June 2009, p. 3681-3703
    • Year: 2009

  Book chapter

  1. Comparing and Characterizing some Constructions of Canonical Bases from Coxeter Systems
    • Author(s): Marberg, Eric Paul
    • Source: 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
    • Year: 2015

  2. Generalized involution models of projective reflection groups
    • Author(s): Caselli, fabrizio; Marberg, eric paul
    • Source: Combinatorial Methods in Topology and Algebra /Edited by Bruno Benedetti, Emanuele Delucchi, Luca Moci. Switzerland : Springer International Publishing, 2015, p. 19-23
    • Year: 2015

  Conference paper

  1. Shifted key polynomials
    • Author(s): Marberg, Eric Paul; Scrimshaw, Travis
    • Source:
    • Year: 2023

  2. Combinatorial formulas for shifted dual stable Grothendieck polynomials
    • Author(s): Lewis, Joel; Marberg, Eric Paul
    • Source:
    • Year: 2023

  3. Gröbner Geometry for Skew-Symmetric Matrix Schubert Varieties
    • Author(s): Marberg, Eric Paul; Pawlowski, Brendan
    • Source: Séminaire Lotharingien de Combinatoire, v. 85B, January 2022, article number 90
    • Year: 2022

  4. Highest Weight Crystals for Schur Q-Functions
    • Author(s): Marberg, Eric Paul; Tong, Kam Hung
    • Source: Proceedings of the 34th Conference on Formal Power Series and Algebraic Combinatorics (Bangalore), (86B), April 2022, article number 69
    • Year: 2022

  5. Perfect Models and Gelfand W-Graphs
    • Author(s): Marberg, Eric Paul; Zhang, Yifeng
    • Source: Séminaire Lotharingien de Combinatoire, v. 85B, January 2022, article number 50
    • Year: 2022

  6. Principal Specializations of Schubert Polynomials in Classical Types
    • Author(s): Marberg, Eric Paul; Pawlowski, Brendan
    • Source: Séminaire Lotharingien de Combinatoire, v. 85B, January 2022, article number 67
    • Year: 2022

  7. 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

  8. Actions of the 0-Hecke monoids of affine symmetric groups
    • Author(s): Marberg, Eric Paul
    • Source: FPSAC 2018 - 30th international conference on Formal Power Series and Algebraic Combinatorics, July 2018, article number 65
    • Year: 2019

  9. Stanley Symmetric Functions for Signed Involutions
    • 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 29
    • Year: 2019

  10. 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

  11. 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

  12. 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