Articles

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, preprint.

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, preprint.

A geometric model for semilinear locally gentle algebras, joint work with Raphael Bennett-Tennenhaus, Karin M. Jacobsen, and  Kayla Wright, preprint.

Snake Graphs for Graph LP Algebras joint work with Sunita Chepuri, Elizabeth Kelley, and Sylvester Zhang, preprint.

Snake Graphs and Caldero-Chapoton Functions from Triangulated Orbifolds joint work with Yadira Valdivieso, preprint.

Friezes over Z[sqrt(2)] joint work with Libby Farrell, Amy Tao*, Kayla Wright, and Zhichun Joy Zhang*, submitted.

A Generalization of Markov Numbers joint work with Archan Sen**, to appear in The Ramanujan Journal.

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).

Rooted Clusters for Graph LP Algebras joint work with Sunita Chepuri, Elizabeth Kelley, and Sylvester Zhang, SIGMA Volume 18 (2022).

Periodic Infinite Frieze Patterns of type Lambda_{p_1,..,p_s} and Dissections of Annuli joint work with Jiuqi (Lena) Chen*, preprint.

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, to appear in PRIMUS, 2020. Preprint manuscript available upon request.

Snake graphs from Triangulated Orbifolds  joint work with Elizabeth Kelley, SIGMA Special Issue on Cluster Algebras, Volume 16, (2020)

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

Probability of Generating a Dicyclic Group using two elements Pi Mu Epsilon Volume 14, no. 3 (2015).

"*" = undergraduate collaborator (+ I was no longer an undergraduate)

"**" = high school collaborator

"Pattern-avoiding polytopes and Cambrian lattices" joint work with Sunita Chepuri, Emily Gunawan, and Jianping Pan. See our extended abstract. 

"Snake Graphs from Punctured Orbifolds" joint with Wonwoo Kang and Elizabeth Kelley. See me talk about this at the Bases for Cluster Algebras workshop in Oaxaca.

"Cyclic Sieving on Friezes" joint work with Ashleigh Adams.

"The e-positivity of the chromatic symmetric functions of twinned paths and cycles" joint work with GRWC 2024 working group.