pmtey@leeds.ac.uk
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I am interested in representation theory of algebras, cluster algebras, their categorifications, and related combinatorics. Here is my CV. Below is a list of my papers and here is the link to the ArXiv versions.
C. Paquette, J. D. Rock, and E. Yıldırım, Representations of thread quivers, in preparation.
[arXiv] K. Baur, L. Bittmann, E. Gunawan, and G. Todorov, Infinite friezes of affine type D, arXiv:2407.11232.
[arXiv] I. Le and E. Yıldırım, Cluster Categorification of Rank 2 Webs, arXiv:2402.14501.
[arXiv] A. Felikson, P. Tumarkin and E. Yıldırım, Polytopal realizations of non-crystallographic associahedra, arXiv:2401.08285.
[arXiv] E. Kantarcı Oğuz and E. Yıldırım, Cluster Expansions: T-walks, Labeled Posets and Matrix Calculations, arXiv:2211.08011.
[arXiv] R. Marczinzik, H. Thomas, and E. Yıldırım, On the interaction of the Coxeter transformation and the Rowmotion bijection, arXiv:2201.04446 (accepted to Journal of Combinatorial Algebra, DOI 10.4171/JCA/101).
[published] C. Paquette and E. Yıldırım, Completions Of Discrete Cluster Categories Of Type A, Transactions of the London Mathematical Society (2021), 8(1), 35–64. https://doi.org/10.1112/tlm3.12025
[published] V. Bazier-Matte, G. Douville, A. Garver, R. Patrias, H. Thomas, and E. Yıldırım, Leading Terms of SL_3 Web Invariants, International Mathematics Research Notices, (2020), rnaa110. https://doi.org/10.1093/imrn/rnaa110
[published] V. Bazier-Matte, N. Chapelier-Laget, G. Douville, K. Mousavand, H. Thomas, and E. Yıldırım, ABHY Associahedra and Newton Polytopes of F-polynomials for finite type cluster algebras. Journal of the London Mathematical Society (2) (2024), 109 (1), Paper No. e12817, 27. https://doi.org/10.1112/jlms.12817
[published] E. Yıldırım, The Coxeter Transformation on Cominuscule Posets. Algebra and Representation Theory, Vol. 22 (2019), No. 3, pp. 699-722. https://doi.org/10.1007/s10468-018-9795-3
[published] T. Brüstle, G. Douville, K. Mousavand, H. Thomas, and E. Yıldırım, On the combinatorics of gentle algebras, Canadian Journal of Mathematics (2019), 1-30. https://doi:10.4153/S0008414X19000397.
[published] T. Ozen and E. Yıldırım, X-Injective and X-Projective Complexes. Bull. Iranian Math. Soc.Vol. 42 (2016), No. 5, pp. 1221-1235.
K. Baur and E. Yıldırım, Cluster Algebras, Encyclopedia of Mathematical Physics 2nd edition, book title: Reference Module in Materials Science and Materials Engineering, 2023.