Cluster Expansions from Punctured Orbifolds - Esther Banaian, Wonwoo Kang, Elizabeth Kelley, Ezgi Kantarcı Oğuz, and Emine Yıldırım

Counting 3-way contingency tables via quiver semi-invariants - Calin Chindris and Deepanshu Prasad

• Submitted, arXiv:2603.25554

Growth of infinite frieze patterns of affine type - Karin Baur, Anna Felikson, Deepanshu Prasad, Pavel Tumarkin, and Emine Yıldırım

• Submitted, arXiv:2603.21157

Maximal green sequences for quantum and Poisson CGL extensions - Milen Yakimov

• Submitted, arXiv:2603.14376

Short star products for quantum symmetric pairs and applications - Stefan Kolb and Milen Yakimov

• Submitted, arXiv:2603.06132

A mirror deformation of Markov numbers - Léa Bittmann, Perrine Jouteur, Ezgi Kantarcı Oğuz, Melody Molander, and Emine Yıldırım.

• Submitted, arXiv:2602.14802

Integral cluster structures on quantized coordinate rings - Hironori Oya, Fan Qin, and Milen Yakimov

• Submitted, arXiv:2512.05228

Lattices of pretorsion classes - Federico Campanini, Francesca Fedele, and Emine Yıldırım.

• Submitted, arXiv:2511.19223

The homological spectrum for monoidal triangulated categories - Daniel Nakano, Kent Vashaw, and Milen Yakimov

• Submitted, arXiv:2506.19946

Galois Coverings, τ-Rigidity, and Mutations - Charles Paquette, Deepanshu Prasad, and David Wehlau.

• Submitted, arXiv: 2410.21592

Categories of generalized thread quivers - Charles Paquette, Job Daisie Rock, and Emine Yıldırım.

• Submitted, arXiv:2410.14656 

Skein relations for punctured surfaces - Esther Banaian, Wonwoo Kang, and Elizabeth Kelley.

• Submitted, arXiv: 2409.04957

Infinite friezes of affine type D - Karin Baur, Léa Bittmann, Emily Gunawan, Gordana Todorov, and Emine Yıldırım. 

• To appear in Combinatorial Theory, arXiv:2407.11232  

Cluster Categorification of Rank 2 Webs - Ian Le and Emine Yıldırım.

• Submitted, arXiv:2402.14501

Semi-Invariant Rings: UFD and Codimension One Orbits - Charles Paquette, Deepanshu Prasad, and David Wehlau.

• Submitted, arXiv: 2306.08263

Unimodality and Cluster Algebras from Surfaces - Wonwoo Kang, Kyeongjun Lee and Eunsung Lim.

• European Journal of Combinatorics, 136(2026), DOI:10.1016/j.ejc.2026.104392, arXiv: 2508.04396