Papers

• (Preprint) An elaborate new proof of Cayley's formula, 2024. (With Esther Banaian, Anh Trong Nam Hoang, Weston Miller, Jason Stack, Carolyn Stephen, and Nathan Williams)

• (Preprint) Snake Graphs for Graph LP Algebras, 2023. (With Esther Banaian, Sunita Chepuri, and Sylvester W. Zhang).

• Rooted Clusters for Graph LP Algebras, SIGMA 18 (2022), 089. (With Esther Banaian, Sunita Chepuri, and Sylvester W. Zhang)

• Cluster scattering diagrams and theta functions for reciprocal generalized cluster algebras, Annals of Combinatorics, 2022. (With Man-Wai Mandy Cheung and Gregg Musiker)

• Snake Graphs from Triangulated Orbifolds, SIGMA Special Issue on Cluster Algebras, Volume 16, 2020. (With Esther Banaian)

• Expected Number of Distinct Subsequences in Randomly Generated Binary Strings, Discrete Mathematics & Theoretical Computer Science, Volume 19, no. 2, 2018. (With Yonah Biers-Ariel and Anant Godbole)

• The Total Acquisition Number of the Randomly Weighted Path, Discussiones Mathematicae Graph Theory, Volume 37, Issue 4, 919-934, 2017. (With Anant Godbole, Emily Kurtz, Pawel Pralat, and Yiguang Zhang)

• Universal and Near-Universal Cycles of Set Partitions, Electronic Journal of Combinatorics, Paper P4.48, 2015. (With Anant Godbole, Zach Higgins, and Bertilla Sieben)

Refereed Conference Proceedings

• Skein relations for punctured surfaces (Extended Abstract), to appear in Seminaire Lotharingien de Combinatoire in the proceedings for FPSAC 2024. (With Esther Banaian and Wonwoo Kang)

• Rooted Clusters for Graph LP Algebras (Extended Abstract), Seminaire Lotharingien de Combinatoire, proceedings for FPSAC 2022. (With Esther Banaian, Sunita Chepuri, and Sylvester W. Zhang)

• Cluster scattering diagrams and theta basis for reciprocal generalized cluster algebras (Extended Abstract), Seminaire Lotharingien de Combinatoire, proceedings for FPSAC 2021. (With Man-Wai Mandy Cheung and Gregg Musiker)

• Snake Graphs and Frieze Patterns from Orbifolds (Extended Abstract), Seminaire Lotharingien de Combinatoire,  proceedings for FPSAC 2019 (With Esther Banaian)

Selected Talks

• Snake Graphs from Punctured Orbifolds: 

  • AMS Sectional Meeting

• Snake Graphs for Graph LP Algebras: 

  • BIRS-CMO slides

  • Video

• Hyper T-Paths for Graph LP Algebras: 

  • NDSU Slides

  • NEWAC50AWM Slides

  • NEWAC50AWM Video

• Scattering Diagrams for Reciprocal Generalized Cluster Algebras: 

  • OCAS/ARTS Slides

  • GOCC Slides

  • GOCC Video 

• Snake Graphs from Unpunctured Orbifolds: 

  • AMS Sectional Meeting

  • UIUC Student Seminar Notes (Part 1, Part 2)

Posters

• Hyper T-paths for Rooted Clusters of LP Algebras: FPSAC 2022

• Snake Graphs from Punctured Orbifolds: AlCoVE 2022

• Snake Graphs and Frieze Patterns from Orbifolds: 

  • FPSAC 2019 Version

  • RIMS 2019 Version