Ezgi KANTARCI OĞUZ

I am a mathematician, specializing on algebraic and enumerative combinatorics. I am currently pursuing my research in Galatasaray University, funded by Tübitak 1001 grant.

(Check the Projects and Grants tab for open positions and how to apply!)

I am also the president of the Matematiğin Peşinde Derneği, a non-profit for math outreach and math communication. We do a variety of projects including our Youtube Channel (see Videos) and Tutam Tutam Matematik Festivali, a yearly festival open to all celebrating our love of mathematics. Coming to both İstanbul and İzmir this year!

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My research interests include: Posets and lattices, tableaux combinatorics, permutations statistics, Markov numbers, cluster algebras, crystal bases, dynamical algebraic combinatorics and combinatorial games. See my CV for more details on my work.

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 Expansions: T-walks, Labeled Posets and Matrix Calculations, Journal of Algebra (2025), Volume 669, pp. 183-219, arXiv:2211.08011, DOI 10.1016/j.jalgebra.2025.01.024.

Oriented Posets and Rank Matrices and q-deformed Markov Numbers , Discrete Mathematics (2025), Volume 348, Issue 2, arXiv:2206.05517, DOI 10.1016/j.disc.2024.114256.

(with P. Alexandersson) Cylindric Schur Functions, (2023) (preprint), arXiv:2311.07382.

(with M. Ravichandran, Y. Özel) Chainlink Polytopes and Ehrhart-Equivalence, Annals of Combinatorics (2024), Volume 28, pp. 1141–1166, arXiv:2211.08382, DOI 10.1007/s00026-023-00683-x.

Connecting peak and descent polynomials, Hacettepe Journal of Mathematics and Statistics (2024), Vol: 53 Issue: 2, pp. 488 - 494, arXiv: 1806.05353, DOI 10.15672/hujms.1182500.

(with M. Ravichandran, Y. Özel) Chainlink Polytopes, Seminaire Lotharingien de Combinatoire 89 (2023) ,#67.

(with M. Ravichandran) Rank polynomials of fence posets are unimodal, Discrete Mathematics, Vol. 346, Issue 2 (2023). arXiv:2112.00518, DOI 10.1016/j.disc.2022.113218.

(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, DOI 10.37236/10957.

(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, DOI 10.4310/ARKIV.2021.v59.n2.a1.

(with S. Assaf) Towards a local characterization of crystals for the quantum queer superalgebra, Annals of Combinatorics (2020) Vol. 24, pp. 3-46. arXiv:1803.06317, DOI 10.1007/s00026-019-00477-0.

A shifted analogue to ribbon tableaux, Journal of Combinatorics (2020), Vol. 11, No. 1, pp. 169-202 , arXiv:1701.07497, DOI 10.4310/JOC.2020.v11.n1.a8.

A Note on Jing and Li's Type B Quasisymmetric Schur Functions, Annals of Combinatorics (2019), Vol. 23, pp.159–170, arXiv:1703.09358, DOI 10.1007/s00026-019-00415-0.

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.

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