=====Isaac KONAN===== I am a visiting assistant professor in mathematics at Université de Paris. I am working on integer partition theory, a subject at the interface of number theory and combinatorics. My thesis was entitled {{ :users:konan:konan_isaac_va2.pdf|Rogers-Ramanujan type identities: bijective proofs and Lie-theoretic approach}} and supervised by [[users:lovejoy:inc|Jeremy LOVEJOY]] from the [[equipes:combi:index|combinatorics team]]. 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. {{ :users:konan:cvkonan_4_.pdf |CV}} ==== Contact ==== __email__ : \\ __address__ : Sophie Germain, IRIF, room 4059\\ ==== Teaching ==== [[enseignements|click here]] ==== Research ==== === Upcoming events === === Seminars and Conferences === * [[https://sites.google.com/view/fpsac2020online/home|Fpsac 2020 Online]], July 6-24, 2020 * [[https://galac.lri.fr/pages/combi-seminar.html|Plateau Saclay Combinatorics Seminar]], LIX, March 4, 2020 * [[https://math.berkeley.edu/~corteel/combinatorics/|Combinatorics seminar]], UC Berkeley, December 2, 2019 * [[http://combinatoire-a-paris.math.cnrs.fr/CombInter/|Combinatorics and interaction]], IHP, Paris, October 2, 2019 * [[http://gt-alea.math.cnrs.fr/alea2019/|ALEA days 2019]], CIRM, Marseille, March 18-22, 2019 * [[https://www.irif.fr/seminaires/combi/index|Enumerative and analytic Combinatorics Seminar]], IRIF, October 18, 2018 * [[https://www.risc.jku.at/conferences/aec2018/|Algorithmic and Enumerative Combinatorics Summer School 2018]], Johannes Kepler University Linz, Hagenberg, July 30--August 4, 2018 * [[http://fpsac.org/confs/fpsac-2018/|FPSAC 2018]], Dartmouth College, Hanover, July 16--20. * [[https://indico.math.cnrs.fr/event/2735/page/1|School of young researchers in Number Theory]], University of Franche-Comté, Besançon, June 5--9, 2018 * [[https://conferences.cirm-math.fr/1761.html|Algebra, arithmetics and combinatorics of Differential and Difference Equations]], CIRM, Marseille, May 28 -- June 1, 2018 * [[https://conferences.cirm-math.fr/1776.html|ALEA days 2018]], CIRM, Marseille, March 12--16. * [[seminaires:doctorants:index|Phd students' seminar]], IRIF, October 25, 2017 === Publications=== ==Conference proceedings== - [[https://www.mat.univie.ac.at/~slc/wpapers/FPSAC2018/03-Konan.pdf|A Bijective Proof and Generalization of Siladić's Theorem]]\\ FPSAC 2018, Séminaire Lotharingien de Combinatoire, 80B (2018), 12 pp. - [[https://www.mat.univie.ac.at/~slc/wpapers/FPSAC2020/2-Konan.pdf|Beyond Göllnitz' Theorem I: A Bijective Approach]] \\ FPSAC 2020, Séminaire Lotharingien de Combinatoire, 84B (2020), 12 pp. ==Papers and preprints== - {{:users:konan:bijectiveproof.pdf|A bijective proof and generalization of Siladić's Theorem}}\\ European journal of Combinatorics, 87 (2020). - [[https://arxiv.org/pdf/1909.00364.pdf|Beyond Göllnitz' Theorem I: A Bijective Approach]]\\ Journal of Combinatorial Theory Series A, 180 (2021). - [[https://arxiv.org/pdf/1912.06702.pdf|Beyond Göllnitz' Theorem II: arbitrarily many primary colors]]\\ preprint, submitted - [[https://arxiv.org/pdf/1911.13191.pdf|Generalisation of Capparelli's and Primc's identities, I: coloured Frobenius partitions and combinatorial proofs]]\\ with J. Dousse, preprint - [[https://arxiv.org/pdf/1911.13189.pdf|Generalisation of Capparelli's and Primc's identities, II: perfect $A_{n-1}^{(1)}$ crystals and explicit character formulas]]\\ with J. Dousse, preprint - [[https://arxiv.org/pdf/2001.10927.pdf|Weighted words at degree two, I: Bressoud's algorithm as an energy transfer]]\\ Accepted for publication in AIHPD. - [[https://arxiv.org/pdf/2002.00300.pdf|Weighted words at degree two, II: flat partitions, regular partitions, and application to level one perfect crystals]]\\ preprint - [[https://arxiv.org/pdf/2103.04983.pdf|Multi-grounded partitions and character formulas]]\\ with J. Dousse, preprint - [[https://arxiv.org/pdf/2106.08057.pdf|The (k,l)-Euler theorem and the combinatorics of (k,l)-sequences]]\\ preprint === Reviews=== -[[https://www.journals.elsevier.com/journal-of-combinatorial-theory-series-a|Journal of Combinatorial Theory, Series A]] -[[https://www.journals.elsevier.com/european-journal-of-combinatorics|European Journal of Combinatorics]]. ==== Education ==== *[[http://math.u-psud.fr|Faculté des sciences d'Orsay, Université Paris-Sud (P11)]] * 2012-2014 Bachelor degree ("Licence") in fundamental mathematics * 2014-2016 Master degree in fundamental mathematics (Analysis, Arithmetics and Geometry) *[[informations:presentation|IRIF]], [[http://math.univ-paris-diderot.fr|Université Paris Diderot (P7)]] * 2016-2017 Intership with [[users:lovejoy:inc|Lovejoy]] * 2017--2020 Ph.D, mathematics. ===Projects=== * Master's thesis, {{ :users:konan:memoire.pdf |Autour des q-séries, des formes modulaires quantiques et des nœuds toriques}}, July 2016 * Master MFA project, {{ :users:konan:ter.pdf |Borne de Weil et graphes de Cayley sur des corps finis}}, June 2015 * Licence MFA project, {{ :users:konan:projet.pdf | Formule de Pick pour Polygones non croisés avec sommets à coefficients entiers}}, March 2014 ===Awards=== * Silver medallist, [[https://www.imo-official.org/?language=fr|International Mathematics Olympiads]], Astana 2010. * Gold medallist, [[http://pamo-official.org/en/index.php|Panafrican Mathematics Olympiads]], Pretoria 2009, Yamoussoukro 2010. * Perfect score at the two first editions (2016 2017) of the [[https://www.math.u-psud.fr/marathon/|Orsay marathon of mathematics]]. ===Others activities=== * Jury member for the [[https://www.math.u-psud.fr/marathon/|Orsay marathon of mathematics]] since 2018. * Animatheur for Club Animath project in Ivory Coast, Abidjan, April 1-5 2019. * Coordinator at Olympiades Francophone de Mathématiques, June 2020.