Isaac KONAN

Publications

Article dans une revue (10)

Partition identities from higher level crystals of $A_1^{(1)}$ Jehanne Dousse,Leonard Hardiman,Isaac Konan Proceedings of the American Mathematical Society, 2025, 153 (4), pp.1363-1382. ⟨10.1090/proc/16417⟩ Article dans une revue hal-03448464v1
A bijective proof of a generalization of the non-negative crank--odd mex identity Isaac Konan The Electronic Journal of Combinatorics, 2023, 30 (1), ⟨10.37236/11472⟩ Article dans une revue hal-03916647v1
The arithmetical combinatorics of k,l-regular partitions Isaac Konan Discrete Mathematics, 2023, 346 (3), pp.113278. ⟨10.1016/j.disc.2022.113278⟩ Article dans une revue hal-03916636v1
The (k,l) - Euler theorem and the combinatorics of (k,l) - sequences Isaac Konan European Journal of Combinatorics, 2022, 103, pp.103524. ⟨10.1016/j.ejc.2022.103524⟩ Article dans une revue hal-03662765v1
Generalisations of Capparelli's and Primc's identities, I: coloured Frobenius partitions and combinatorial proofs Jehanne Dousse,Isaac Konan Advances in Mathematics, 2022, 408 B, pp.108571. ⟨10.1016/j.aim.2022.108571⟩ Article dans une revue hal-03012736v1
Weighted words at degree two, I: Bressoud’s algorithm as an energy transfer Isaac Konan Annales de l’Institut Henri Poincaré (D) Combinatorics, Physics and their Interactions, 2022, 9 (4), pp.605-642. ⟨10.4171/AIHPD/150⟩ Article dans une revue hal-03916635v1
Beyond Göllnitz' theorem II: Arbitrarily many primary colors Isaac Konan Journal of Combinatorial Theory, Series A, 2022, 191, pp.105640. ⟨10.1016/j.jcta.2022.105640⟩ Article dans une revue hal-03916639v1
Weighted Words at Degree Two, II: Flat Partitions, Regular Partitions, and Application to Level One Perfect Crystals Isaac Konan The Electronic Journal of Combinatorics, 2022, 29 (1), ⟨10.37236/10442⟩ Article dans une revue hal-03916640v1
Beyond Göllnitz' Theorem I: A bijective approach Isaac Konan Journal of Combinatorial Theory, Series A, 2021, 180, pp.105426. ⟨10.1016/j.jcta.2021.105426⟩ Article dans une revue hal-03916642v1
A bijective proof and generalization of Siladić’s Theorem Isaac Konan European Journal of Combinatorics, 2020, 87, pp.103101. ⟨10.1016/j.ejc.2020.103101⟩ Article dans une revue hal-03916645v1

Pré-publication, Document de travail (4)

Characters of level $1$ standard modules of $C_n^{(1)}$ as generating functions for generalised partitions Jehanne Dousse,Isaac Konan 2022 Pré-publication, Document de travail hal-03916649v1
Systematic study of Schmidt-type partitions via weighted words Isaac Konan 2022 Pré-publication, Document de travail hal-03916648v1
Multi-grounded partitions and character formulas Jehanne Dousse,Isaac Konan 2021 Pré-publication, Document de travail hal-03448455v1
Generalisations of Capparelli's and Primc's identities, II: perfect $A_{n-1}^{(1)}$ crystals and explicit character formulas Jehanne Dousse,Isaac Konan 2020 Pré-publication, Document de travail hal-03012743v1

Thèse (1)

Rogers-Ramanujan type identities : bijective proofs and Lie-theoretic approach Isaac Konan Combinatorics [math.CO]. Université Paris Cité, 2020. English. ⟨NNT : 2020UNIP7087⟩ Thèse tel-03226154v1