I am a mathematician, specializing on algebraic and enumerative combinatorics.
I am currently pursuing my research in Galatasaray University, funded by Tübitak 1001 and 2218 grants.
***
I completed my PhD in University of Southern California, working on algebraic combinatiorics, under the direction of Prof. Sami Assaf. I worked with symmetric and quasisymmetric functions and Young tableaux, and focusing on type B and C analogues. Afterwards, that I was a postdoctoral fellow in Sabancı University working with Prof. Kağan Kurşungöz on partition identities and a visiting researcher in Royal Institute of Technology, Stockholm working with Prof. Svante Linusson on cyclic sieving where I got the chance to participate in the Algebraic and Enumerative Combinatorics in the amazing Mittag-Leffler Institute.
More recently, I have been working with the wonderfully talented Mohan Ravichandran in Boğaziçi University which was unfortunately cut short- Check Endangered Scholars for details. Then I worked for a while in the Boğaziçi University Computer Engineering for the Molecular Signal Processing in the Circulatory System project of Birkan Yılmaz.
***
My research interests include: tableaux, permutations statistics, posets and lattices, generating functions, crystal bases, dynamical algebraic combinatorics and combinatorial games.
***
I ♥ math problems, puzzles and conjectures. Feel free to e-mail me with any questions at: ezgikantarcioguz(at)gmail.com
PUBLICATIONS
(with E. Yıldırım) Cluster Algebras and Oriented Posets, arXiv:2211.08382 arXiv:2211.08011 (in preparation).
(with M. Ravichandran, Y. Özel) Chainlink Polytopes and Ehrhart-Equivalence, Annals of Combinatorics (2024), arXiv:2211.08382.
Connecting peak and descent polynomials, Hacettepe Journal of Matematik and Statistics, pp. 1-7 (2023), arXiv: 1806.05353.
Oriented Posets and Rank Matrices, (2022) (submitted), arXiv:2206.05517.
(with M. Ravichandran) Rank polynomials of fence posets are unimodal, Discrete Mathematics, Vol. 346, Issue 2 (2023). arXiv:2112.00518.
(with M. Ravichandran) Ideal Lattices of Fence Posets and Rank Unimodality, Seminaire Lotharingien de Combinatoire 86B (2022) Article #41, 12 pp.
A counter example to the Shuffle Compatiblity conjecture, Electron. J. Combin., Vol. 29, Issue 3 (2022), arXiv: 1807.01398.
(with P. Alexandersson, S. Linusson) Promotion and cyclic sieving on families of SSYT, Arkiv för Matematik, Vol. 59, No. 2 (2021), pp. 247-274. arXiv:2007.10478.
(with S. Assaf) Towards a local characterization of crystals for the quantum queer superalgebra, 2017 Annals of Combinatorics 24, 3–46 (2020). arXiv:1803.06317.
A shifted analogue to ribbon tableaux, Journal of Combinatorics, Vol. 11, No. 1 (2020), pp. 169-202 , arXiv:1701.07497
A Note on Jing and Li's Type B Quasisymmetric Schur Functions, Annals of Combinatorics 23 (2019), no. 1, pp.159–170. , arXiv:1703.09358
Descent Polynomials, Peak Polynomials and an Involution on Permutations, Seminaire Lotharingien de Combinatoire 82B (2019) Article #41, 7 pp.
(with S. Assaf) Crystal graphs for shifted tableaux, Seminaire Lotharingien de Combinatoire 80B (2018) Article #26, 12pp., arXiv:1802.07352.
Connecting peak and descent polynomials, 2018 (submitted), arXiv: 1806.05353