Past MRWACs

2024

Organizers:  Elise Catania, Trevor Karn, Sasha Pevzner, Carolyn Stephen, and Yuxuan Sun

Problems

• Christian Gaetz: Coefficients of minimal powers of q in Kazhdan-Lusztig polynomials from permutation patterns

• Tricia Klein: Geometrically vertex decomposable ideals

• Nick Ovenhouse: Higher Rank Dimer Models

Participants: Kayla Wright, Nick Anderson, Pranjal Dangwal, Elizabeth Kelley, Judy Chiang, Yuxuan Sun, Joe McDonough, Suki Dasher, Mike Loper, Miranda Moore, Moriah Elkin

2023

Organizers:  Elise Catania, Sasha Pevzner, and Sylvester Zhang

Problems

• Brendon Rhodes: The superspace coinvariant ring of the symmetric group

• Nathan Williams: Combinatorics and braid varieties

• Jay Yang: Simplicial complexes and virtual resolutions

Participants: Pouya Layeghi, Mykola Sapronov, Robbie Angarone, Carolyn Stephen, Anh Trong Nam Hoang, Patty Commins, Eric Stucky, Joseph McDonough, Trevor Karn, Lee Trent, Jessica Striker, Becky Patrias, Esther Banaian, Miranda Moore, Elizabeth Kelley

Resulting Publications:

• Robert Angarone, Patricia Commins, Trevor Karn, Satoshi Murai, Brendon Rhoades. Superspace coinvariants and hyperplane arrangements. arXiv:2404.17919

• Esther Banaian, Anh Trong Nam Hoang, Elizabeth Kelley, Weston Miller, Jason Stack, Carolyn Stephen, Nathan Williams. An Elaborate New Proof of Cayley's Formula. arXiv:2402.07798

Website

2022

Organizers:  Robbie Angarone, Trevor Karn, and Sylvester Zhang

Problems

• Sylvester Zhang: Positivity of %-immanants. (Problem by Pasha Pylyavskyy)

• Emily Gunawan: Volumes of pattern-avoiding polytopes and Cambrian lattices.

• Sasha Pevzner: P-partition Rings and Linear Extensions of Posets.

• Sunita Chepuri: Trip permutations for unreduced plabic graphs.

• Mahrud Sayrafi: Toric varieties and problems of algebraic combinatorics.

• Esther Banaian: Skew-symmetrizable Markov Numbers.

Participants: Robbie Angarone, Esther Banaian, Hannah Burson, Elise Catania, Angel Chavez, Sunita Chepuri, Galen Dorpalen-Barry, Tara Gomes, Emily Gunawan, Daoji Huang, Trevor Karn, Elizabeth Kelley, Anastasia Nathanson, Sasha Pevzner, Toby Ramaswamy, Mahrud Sayrafi, Carolyn Stephen, Eduardo Torres Davila, Sylvester Zhang.

Resulting Publications:

• Esther Banaian, Sunita Chepuri, Emily Gunawan, Jianping Pan. c-Birkhoff polytopes. arxiv:2504.07505

Website

2020

Organizer:  Trevor Karn

Participants: Esther Banaian, Sarah Brauner, Sunita Chepuri, Patricia Commins, Galen Dorpalen-Barry, Libby Farrell, Andy Hardt, Elizabeth Kelley, Eric Stucky, Kayla Wright, Sylvester Zhang.

Resulting Publications:

• Esther Banaian, Sunita Chepuri, Elizabeth Kelley, Sylvester W. Zhang (2023). Snake Graphs for Graph LP Algebras. arXiv:2312.12313

• Esther Banaian, Sunita Chepuri, Elizabeth Kelley, Sylvester W. Zhang (2021). Rooted Clusters for Graph LP Algebras. arXiv:2107.14785 published at SIGMA

Website