I am a third-year Ph.D. student, under the direction of Jeremy LOVEJOY from the combinatorics team. I am working on integer partition theory, a subject at the interface of number theory and combinatorics. My thesis is entitled partitions, overpartitions, and Rogers-Ramanujan type identities. My main research concern is about studying Rogers-Ramanujan type identities and finding some bijections that explain these identities. This research orientation allows having a better understanding of the partitions' structure and permits to go beyond the original identities by generalizing them. I especially have an interest in the identities coming from the representation theory of affine Lie algebras. So far, my contribution has consisted in studying such identities in a purely combinatorial way and generalizing them, and finally going backward by finding suitable Lie algebras and representation that explain the generalizations of these identities. Some of my works are also related to statistical mechanics and graph theory.

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email : konan@irif.fr
address : Sophie Germain, IRIF, room 4059

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  1. A Bijective Proof and Generalization of Siladić's Theorem
    FPSAC 2018, Séminaire Lotharingien de Combinatoire, 80B.3 (2018), 12 pp.
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