MRWAC is a research workshop designed to foster collaboration within the combinatorics and algebra group at the University of Minnesota. It focuses on current graduate students and postdocs, with openings for recent PhD alumni. Information about current and previous workshops can be found below, where an asterisk* indicates the coordinator(s).

2022 May 23rd to May 27th

Link to google drive for slides, references, etc. (You may need to ask for permission to access.)

Here is the link to Friday's final vote.

Location

• Vincent hall 313 (for main meetings)
• Vincent hall 502 (for food and drinks)
• Vincent hall 203A & 203B (for discussions)
• Zoom link. Password: MRWAC + $|\mathfrak{S}_5|$

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^*.

Schedule

Problem Proposals.

1. Sylvester Zhang. Positivity of %-immanants. (Problem by Pasha Pylyavskyy)
2. Emily Gunawan. Volumes of pattern-avoiding polytopes and Cambrian lattices.
3. Sasha Pevzner. $P$-partition Rings and Linear Extensions of Posets.
4. Sunita Chepuri. Trip permutations for unreduced plabic graphs.
5. Mahrud Sayrafi. Toric varieties and problems of algebraic combinatorics.
6. Esther Banaian. Skew-symmetrizable Markov Numbers.

2020

The first edition (called "Combinatorics Working Groups") was held virtually in 2020 in order to fill the gap left by the GRWC which was canceled due to COVID-19.

Participants

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

Schedule

Problem Proposals

• Sarah Brauner. Spectra of shuffling operators.
• Pasha Pylyvaskyy. Positivity in LP algebras.
• Galen Dorpalen-Barry. Homology Concentration in $U$-Nucleus Complexes.
• Trevor Karn. Type $B$ Matroid Kazhdan-Lusztig Polynomials. (Problem by Kayla Wright.)
• Sunita Chepuri. Conditional Moves for Resistor Networks in a Punctured Disk.
• Sylvester Zhang. Arborescences of Random Covering Graphs.

Resulting Publications

• E. Banaian, S. Chepuri, E. Kelley, & S. W. Zhang (2021). Rooted Clusters for Graph LP Algebras. arXiv:2107.14785.

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