Ongoing projects:

  • Abram, A. & Bastidas, J.: (2025). The h*-Polynomials of Type C Hypersimplices, arXiv:2504.03898,
  • Abram, A.; Hivert F.; Mitchell, J.; Novelli, J.-C. & Tsalakou, M.: Power Quotients of Plactic-Like Monoids,
  • Abram, A.; Bastidas, J.; Dequêne, B.; Morales, A.; Park, G; & Thomas, H.: DKK-triangulation of Flow Fan for Graphs with Cycles,
  • Abram, A. & Gagnon, L.: Excedances and Dyck Path Fillings,
  • Abram, A. & Segovia, A.: (2025) Dimension of Unicycle Posets, arXiv:2505.16837,
  • Abram, A.; Bastidas, J.; Gélinas, F.; Pilaud, V.; Sack, A. & Tzanaki, E.: Hypergraphic Polytopes.

Publications:

  • Abram, A., Hu, Y., & Li, S. (2024). Block-Counting Sequences are not Purely Morphic. Advances in Applied Mathematics 155, p. 102673. DOI
  • Abram, A., Reutenauer, C., & Saliola, F. V. (2023). Quivers of Stylic Algebras. Algebr. Comb., 6(6), 1621–1635. DOI
  • Abram, A., & Reutenauer, C. (2023). On a Lemma of Schensted. Enumer. Comb. Appl., 3(3), Paper No. S2R19, 7. DOI
  • Abram, A., & Reutenauer, C. (2022). The Stylic Monoid. Semigroup Forum, 105(1), 1–45. DOI
  • Abram, A., Chapelier-Laget, N., & Reutenauer, C. (2021). An Order on Circular Permutations. Electron. J. Combin., 28(3), Paper No. 3.31, 43. DOI
  • Abram, A., Lapointe, M., & Reutenauer, C. (2020). Palindromization and Construction of Markoff Triples. Theoret. Comput. Sci., 809, 21–29. DOI

Refereed Conference Proceedings:

  • Abram, A., Hivert, F., Mitchell, J.D., Novelli, J., & Tsalakou, M. (2024). Power Quotients of Plactic-like Monoids. International Conference on Random and Exhaustive Generation of Combinatorial Structures. DOI

Talks:

  • Dimension of Unicycle Posets, CMS Summer Meeting 2025, Québec, Canada, 7 June 2025,
  • The Stylic Monoid (and Power Quotients), Canadam 2025, Ottawa, Canada, 20 May 2025,
  • The Stylic Monoid (and Power Quotients), Seminar of Algebra and Logic (via Zoom), Universidade NOVA de Lisboa, Lisbonne, Portugal, 9 December 2024,
  • The Stylic Monoid (and Power Quotients), UVM Combinatorics Seminar, University of Vermont, Burlington, États-Unis, 14 October 2024,
  • Power Quotients of Plactic-like Monoids , GASCOM 2024, LaBRI, Bordeaux, France, 25 June 2024,
  • Flow Polytopes on Graph with Cycles, ISM Discovery School; Flow polytopes, gentle algebra and associated posets, Montréal, Canada, 10 May 2024,
  • Circular and Signed Permutations, Algebraic Combinatorics Seminar, Fields Institute, Toronto, Canada, 12 April 2024,
  • The Stylic Monoid and other quotients, Combinatorics and Discrete Mathematics Seminar, Dartmouth College, Hanover, États-Unis, 24 March 2024,
  • The Stylic Monoid, Applied Algebra Seminar, York University, Toronto, Canada, 20 March 2023,
  • Block-Counting Sequences are not Purely Morphic, Séminaire de Combinatoire de Marne-La-Vallée, Paris, France, 10 February 2023,
  • Le Monoïde Stylique, Séminaire du LACIM, Montréal, Canada, 11 June 2021,
  • Palindromization and Markoff Triples, Giornate di informatica teorica dedicate alla memoria di Aldo de Luca, Rome, Italie, 12 July 2019,

Posters:

  • The h*-Polynomials of Type C Hypersimplices, FPSAC 2025 (Poster), Osaka, Japon, 22 July 2025,
  • Alcoved signed permutations (with Jose Bastidas), ISM Discovery School; Flow polytopes, gentle algebra and associated posets, Montréal, Canada, 9 May 2024,
  • Alcoved signed permutations, CAAC 2024, Montréal, Canada, 27 January 2024.