emarberg

MARBERG, Eric


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

Associate Professor



Research Interests

Representation theory, algebraic combinatorics

Teaching

  • MATH2121  Linear Algebra

Selected Publications

  Article

  1. 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

  2. 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

  3. 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

  4. 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

  5. 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

  6. 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

  7. 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

  8. 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

  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. 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

  11. 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

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

  13. 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

  14. 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

  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. 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

  17. 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

  18. 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

  19. 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

  20. 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

  21. 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

  22. 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

  23. 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

  24. 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

  25. 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

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

  28. 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

  29. 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

  30. 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

  31. 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

  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. 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

  34. 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

  35. 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

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

  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. 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

  39. 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

  1. 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

  2. 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

  1. 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

  2. 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

  3. 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

  4. 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

  5. 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

  6. 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

  7. 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

  8. 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