Talks given by Team members:

• August 18-31, 2025, Emine Yıldırım, "Cluster Structures: Lecture Series I, II, III", Summer School on Markov Numbers and Cluster Algebras.

• November 11, 2025, Emine Yıldırım, "Pictures I like in algebra", ICMS Seminar.

• November 25, 2025, Deepanshu Prasad, "An Extension of Sato-Kimura Theorem for Semi-invariant rings", ICMS Seminar.

• December 4, 2025, Wonwoo Kang, "Generalized Cluster Algebras from Orbifolds and their Bases", UNIST Number Theory Group, UNIST.

• January 9, 2026, Emine Yıldırım, "Lattice of Pretorsion classes", Flash Talks in Representation Theory VI.

• January 28, 2026, Emine Yıldırım, "Pretorsion theory in module categories", Algebra and Geometry Seminar, University of Graz.

• February 12, 2026, Emine Yıldırım, "Pretorsion theories", Representation Theory of Quivers and Finite-Dimensional Algebras, Oberwolfach.

• March 26, 2026, Emine Yıldırım, "Categorification of webs beyond Plücker coordinates", Banff International Research Station.

• March 30, 2026, Emine Yıldırım, "Lattices from representation theory of algebras", Algebra and Geometry Seminar, Queen's University, ON.

• April 10, 2026, Emine Yıldırım, "A mirror deformation of Markov numbers", LaCIM Seminar, Université du Québec à Montréal.

• April 23, 2026, Emine Yıldırım, "A mirror deformation of Markov numbers", Farey's legacy in frieze patterns and discrete geometry.

• April 24, 2026, Deepanshu Prasad, "Growth of infinite T-friezes of affine type", Farey's legacy in frieze patterns and discrete geometry.

Conferences Attended by Team Members:

• December 1-5, 2025, Emine Yıldırım, "Beyond Permutahedra and Associahedra", CIRM, France.

• January 9, 2026, Emine Yıldırım, "Flash Talks in Representation Theory VI".

• February 8-13, 2026, Emine Yıldırım, "Representation Theory of Quivers and Finite-Dimensional Algebras", Oberwolfach, Germany.

• March 23-27, 2026, Emine Yıldırım, "Cluster Algebras, Webs, and Canonical Bases", Banff International Research Station, Canada.

• April 20-24, 2026, Wonwoo Kang, Deepanshu Prasad and Emine Yıldırım, "Farey's legacy in frieze patterns and discrete geometry",  ICMS Edinburgh.

Research Visits by Team Members:

• 25-30 January 2026, Emine Yıldırım visited Eleonore Faber in University of Graz.

• 30 March-6 April 2026, Emine Yıldırım visited Charles Paquette and Ivan Dimitrov at Queen's University.

• 7-10 April 2026, Emine Yıldırım visited Hugh Thomas at Université du Québec à Montréal.