Publications and Preprints

Peer-reviewed publications

• İ. Çanakçı, M. Kalck, M. Pressland, Cluster categories for completed infinity-gons I: Categorifying triangulations, J. Lond. Math. Soc. 111 (2025), preprint available arXiv:2401.08378.

• İ. Çanakçı, A. King, M. Pressland, Perfect matching modules, dimer partition functions and cluster characters, Adv. Math., 443 (2024), preprint available arXiv:2106.15924.

• K. Baur, İ. Çanakçı, K. M. Jacobsen, M. C. Kulkarni, G. Todorov, Infinite friezes and triangulations of annuli, to appear J. Algebra Appl., preprint available arXiv:2007.09411.

• İ. Çanakçı, A. Felikson, A. Garcia Elsener, P. Tumarkin, Friezes for a pair of pants, Sem. Lothar. Combin., 86B:Art. 32, 12, 2022.

• İ. Çanakçı, P. Jørgensen, Friezes, weak friezes, and T-paths, Adv. in Appl. Math., 131 (2021), 102253.

• İ. Çanakçı, S. Schroll, Lattice bijections for string modules, snake graphs and the weak Bruhat order, Adv. in Appl. Math., 126 (2021), 102094.

• İ. Çanakçı, D. Pauksztello, S. Schroll, On extensions for gentle algebras, Canad. J. Math., 73 (2021), no. 1, 249–292.

• İ. Çanakçı, D. Pauksztello, S. Schroll, Addendum and Corrigendum: Mapping cones for morphisms involving a band complex in the bounded derived category of a gentle algebra, J. Algebra, 569 (2021), 856–874.

• İ. Çanakçı, R. Schiffler, Snake graphs and continued fractions, European J. Combin., 86 (2020), 103081, 19 pp.

• İ. Çanakçı, P. Lampe, An expansion formula for type A and Kronecker quantum cluster algebras, J. Combin. Theory Ser. A, 171 (2020), 105132.

• İ. Çanakçı, A. Felikson, Infinite rank surface cluster algebras, Adv. Math., 352 (2019), 862–942.

• İ. Çanakçı, D. Pauksztello, S. Schroll, Mapping cones in the bounded derived category of a gentle algebra, J. Algebra, 530 (2019), 163–194.

• İ. Çanakçı, P. Tumarkin, Bases for cluster algebras from orbifolds with one marked point, Algebraic Combinatorics, 2 (2019), no. 3, 355–365.

• İ. Çanakçı, R. Schiffler, Cluster algebras and continued fractions, Compos. Math., 154 (3) (2018) 565–593.

• İ. Çanakçı, R. Schiffler, Snake graph calculus and cluster algebras from surfaces III: Band graphs and snake rings,  Int. Math. Res. Not., (2019), no. 4, 1145–1226.

• İ. Çanakçı, S. Schroll, with an appendix by C. Amiot, Extensions in Jacobian algebras and cluster categories of unpunctured surfaces, Adv. Math., 313 (2017), 1–49.

• İ. Çanakçı, K. Lee, R. Schiffler, On cluster algebras from unpunctured surfaces with one marked point, Proc. Amer. Math. Soc. Ser. B 2 (2015), 35–49.

• İ. Çanakçı, R. Schiffler, Snake graph calculus and cluster algebras from surfaces II: Self-crossing snake graphs, Math. Z., 281 (2015), no. 1-2, 55–102.

• İ. Çanakçı, R. Schiffler, Snake graph calculus and cluster algebras from surfaces, J. Algebra, 382 (2013), 240–281.

Publications Submitted

• İ. Çanakçı, F. Fedele, A. Garcia Elsener, K. Serhiyenko, Super Caldero-Chapoton map for type A, preprint available arXiv:2402.15495.

Coauthors

• Karin Baur

• Francesca Fedele 

• Anna Felikson

• Ana Garcia Elsener

• Karin M. Jacobsen

• Peter Jørgensen

• Martin Kalck

• Alastair King

• Maitreyee C. Kulkarni

• Philipp Lampe

• Kyungyong Lee

• David  Pauksztello

• Matthew Pressland

• Khrystyna Serhiyenko

• Sibylle Schroll

• Ralf Schiffler

• Gordana Todorov

• Pavel Tumarkin