Mathematics

Mathematics

My research focuses on cluster algebras, in particular on their combinatorial structure, and their connections with root systems and representation theory of Kac-Moody groups.

My papers

All my work is available on arXiv.org.

Preprint:

[14] Wed, 15 Aug 2018 [Joint with N. Reading] The action of a Coxeter element on an affine root system

[12] Fri, 22 Dec 2017 [Joint with D. Rupel] Some consequences of categorification

[10] Sun, 2 Jul 2017 [Joint with N. Reading] An affine almost positive roots model

Published:

[11] Thu, 5 Oct 2017 / Mon, 14 May 2018 [Joint with V. Pilaud, P.-G. Plamondon] SIGMA 14 (2018), 045, 8 pages; A tau-tilting approach to dissections of polygons

[8] Fri, 10 Jun 2016 / Mon, 05 Mar 2018, [Joint with D. Rupel, H. Williams] International Mathematics Research Notices, rny053, On Generalized Minors and Quiver Representations

[9] Tue, 28 Mar 2017 / Tue, 23 Jan 2018, [Joint with C. Hohlweg, V. Pilaud] Advances in Mathematics, 328 (2018), 713 – 749, Polytopal realizations of finite type g-vector fans

[4] Tue, 16 Sep 2014 / Fri, 3 Nov 2017 [Joint with N. Reading], Pacific Journal of Mathematics Vol. 293 (2018), No. 1, 179–206, Initial-seed recursions and dualities for d-vectors

[6] Fri, 8 Apr 2016 / Fri, 31 Mar 2017, [Joint with L. Demonet, P. Plamondon, Dylan Rupel, P. Tumarkin] Séminaire Lotharingien de Combinatoire, Volume 76, d, SL_2-Tilings Do Not Exist in Higher Dimensions (mostly)

[5] Thu, 6 Aug 2015 / 26 August 2016 [Joint with M. Cheung, M. Gross, G. Muller, G. Musiker, D. Rupel, H. Williams], Journal of Combinatorial Theory, Series A., Volume 145, January 2017, Pages 150–171, The greedy basis equals the theta basis

[7] Thu, 21 Apr 2016 / Sat, 09 Jul 2016 [Joint with P. Tumarkin], SIGMA 12 (2016), 067, 9 pages, Exchange relations for finite type cluster algebras with acyclic initial seed and principal coefficients

[3] Mon, 31 Dec 2012 / Fri, 22 Jan 2016 [Joint with T. Nakanishi], Transactions of the AMS, 368 (2016), 6835-6886, Wonder of sine-Gordon Y-systems

[2] Tue, 23 Oct 2012 / Sun, 12 Jan 2014 [Joint with T. Nakanishi], Electronic Journal of Combinatorics, Volume 21, Issue 1 (2014), Diagrammatic description of c-vectors and d-vectors of cluster algebras of finite type

[1] Mon, 7 Nov 2011 / Mon, 22 Sep 2012, Journal of Algebraic Combinatorics August 2013, Volume 38, Issue 1, pp 121-158, Polyhedral models for generalized associahedra via Coxeter elements

To appear:

[13] Mon, 25 Dec 2017 [Joint with D. Rupel, H. Williams], Compositio Mathematica, Affine cluster monomials are generalized minors

Sage

Here is a collection of sage ticket I am currently working on. Please consider reviewing some of them if you have time.
Last modified: Monday, 16-May-2022 17:10:10 CEST