- Anna Felikson, Michael Shapiro, Pavel Tumarkin, “Cluster algebras and triangulated orbifolds”, Advances in Mathematics, 231, no. 5, 2012, 2953
- Leonid Chekhov, Michael Shapiro, “Teichmüller Spaces of Riemann Surfaces with Orbifold Points of Arbitrary Order and Cluster Variables”, International Mathematics Research Notices, 2014, no. 10, 2014, 2746
- Марта Маззокко, Marta Mazzocco, Леонид Олегович Чехов, Leonid Olegovich Chekhov, Леонид Олегович Чехов, Leonid Olegovich Chekhov, Леонид Олегович Чехов, Leonid Olegovich Chekhov, “Орбифолдные римановы поверхности: пространства Тейхмюллера и алгебры геодезических функций”, УМН, 64, no. 6, 2009, 117
- Daniel Labardini-Fragoso, Diego Velasco, “On a family of Caldero–Chapoton algebras that have the Laurent phenomenon”, Journal of Algebra, 520, 2019, 90
- Leonid Chekhov, Marta Mazzocco, “Isomonodromic deformations and twisted Yangians arising in Teichmüller theory”, Advances in Mathematics, 226, no. 6, 2011, 4731
- Anna Felikson, Pavel Tumarkin, “Bases for cluster algebras from orbifolds”, Advances in Mathematics, 318, 2017, 191
- Man-Wai Cheung, Elizabeth Kelley, Gregg Musiker, “Cluster Scattering Diagrams and Theta Functions for Reciprocal Generalized Cluster Algebras”, Ann. Comb., 27, no. 3, 2023, 615
- Leonid Chekhov, Marta Mazzocco, “Colliding holes in Riemann surfaces and quantum cluster algebras”, Nonlinearity, 31, no. 1, 2018, 54