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Papers and Preprints
Papers and Preprints
I have made an attempt to categorize my list of articles. However, some work (usually my favorites!) live in an intersection of two categories.
Combinatorial Expansion Formulae for cluster algebras and their generalizations
Combinatorial Expansion Formulae for cluster algebras and their generalizations
"Matrix Formulas and Skein Relations for Punctured Orbifolds" joint work with Wonwoo Kang, Ezgi Kantarci Oguz, Elizabeth Kelley, and Emine Yildirim, in preparation.
Twists, higher dimer covers, and web duality for Grassmannian cluster algebras joint work with Elise Catania, Christian Gaetz, Miranda Moore, Gregg Musiker, and Kayla Wright, submitted. See our extended abstract.
Skein relations for punctured surfaces joint work with Wonwoo Kang and Elizabeth Kelley, submitted. See our extended abstract.
Snake Graphs for Graph LP Algebras joint work with Sunita Chepuri, Elizabeth Kelley, and Sylvester Zhang, accepted for publication in Annals of Combinatorics.
Rooted Clusters for Graph LP Algebras joint work with Sunita Chepuri, Elizabeth Kelley, and Sylvester Zhang, SIGMA Volume 18 (2022).
Snake graphs from Triangulated Orbifolds joint work with Elizabeth Kelley, SIGMA Special Issue on Cluster Algebras, Volume 16, (2020)
Surface Models of Algebras
Surface Models of Algebras
A geometric model for semilinear locally gentle algebras, joint work with Raphael Bennett-Tennenhaus, Karin M. Jacobsen, and Kayla Wright, submitted.
Snake Graphs and Caldero-Chapoton Functions from Triangulated Orbifolds joint work with Yadira Valdivieso, The Journal of Algebra, Volume 674, pages 77-116 (2025).
Markov Numbers
Markov Numbers
Orderings of k-Markov numbers, preprint.
Cluster algebraic interpretation of generalized Markov numbers and their matrixizations joint work with Yasuaki Gyoda, preprint.
A Generalization of Markov Numbers joint work with Archan Sen**, The Ramanujan Journal, Volume 63, pages 1021–1055 (2024).
Frieze Patterns
Frieze Patterns
The Cyclic Sieving Phenomenon and frieze patterns joint work with Ashleigh Adams, preprint.
Friezes over Z[sqrt(2)] joint work with Libby Farrell, Amy Tao*, Kayla Wright, and Zhichun Joy Zhang*, Involve, Volume 18, pages 683-705 (2025).
Periodic Infinite Frieze Patterns of type Lambda_{p_1,..,p_s} and Dissections of Annuli joint work with Jiuqi (Lena) Chen*, preprint.
Partially Ordered Sets and Weyl Groups
Partially Ordered Sets and Weyl Groups
Orbitmesy and promotion on self-dual posets joint work with Emily Barnard, Sunita Chepuri, and Jessica Striker, submitted.
c-Birkhoff Polytopes joint work with Sunita Chepuri, Emily Gunawan, and Jianping Pan, accepted for publication in Algebraic Combinatorics. See our extended abstract.
The support of Kostant's weight multiplicity formula is an order ideal in the weak Bruhat order joint work with Portia X. Anderson, Melanie J. Ferreri, Owen C. Goff, Kimberly P. Hadaway, Pamela E. Harris, Kimberly J. Harry, Nicholas Mayers, Shiyun Wang, and Alexander N. Wilson, submitted.
An elaborate new proof of Cayley's formula joint work with Anh Trong Nam Hoang, Elizabeth Kelley, Weston Miller, Jason Stack, Carolyn Stephen, and Nathan Williams, accepted for publication in Algebraic Combinatorics.
Symmetric Functions
Symmetric Functions
The e-positivity of the chromatic symmetric function for twinned paths and cycles joint work with Kyle Celano, Megan Chang-Lee, Laura Colmenarejo, Owen Goff, Jamie Kimble, Lauren Kimpel, John Lentfer, Jinting Liang, and Sheila Sundaram, accepted for publication in Discrete Mathematics.
Group Theory and Elementary Probability
Group Theory and Elementary Probability
"The Probability of Generating a Group" joint work with Jonathan Coffin, Max Hennen, and Thomas Q. Sibley, Pi Mu Epsilon Volume 15, no. 6 (2022).
Probability of Generating a Dicyclic Group using two elements Pi Mu Epsilon Volume 14, no. 3 (2015).
Mathematics of Juggling
Mathematics of Juggling
A generalization of Eulerian numbers via rook placements joint work with Steve Butler, Jeffrey Davis, Jacob Landgraf, and Scarlitte Ponce, Involve 10 (2017), 691-705
Counting prime juggling patterns joint work with Steve Butler, Christopher Cox, Jeffrey Davis, Jacob Landgraf, and Scarlitte Ponce, Graphs and Combinatorics 32 (2016), 1675-1688
Inclusion in Mathematics
Inclusion in Mathematics
A Workshop to Build Community and Participation in Mathematics: Reflections on the Mathematics Project at Minnesota joint work with Sarah Brauner, Harini Chandramouli, Kim Klinger-Logan, Alice Nadeau, and McCleary Philbin, PRIMUS, 2020. Preprint manuscript available upon request.
"*" = undergraduate collaborator (+ I was no longer an undergraduate)
"**" = high school collaborator
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