Mentoring & Advising

Undergraduate Thesis Advising:

• Leandro Arcos Roman: The Graph Laplacian and Discrete Morse Theory (Can we Hear the Shape of a Graph?) (2024)

• Samantha (Min) Winton (Breusch Prize Co-Winner): Representation Theory of SU(2) (2023)

• Andrew Tawfeek (Breusch Prize Co-Winner): Enumeration of Discrete Gradient Vector Fields (2020) (Co-Advisor: Alejandro Morales (UMass))

• Alexander Mangiafico: Persistent Homology in Topological Data Analysis (2020)

Undergraduate Research Mentoring:

At Amherst College:

Summer Undergraduate Research Fund (SURF)/ Greg Call Fund, Amherst College

• Ephrata Getachew, Yvan Grinspan, Emma Keenan,  Alex Kupersmith, Seth Yoo:  Algebras of Directed Graphs (Summer 2023) (Co-Mentor: Daniel van Wyk)

• Leo Xu, Zahra Sha, Kathryin Lingen, Malaika Kironde (Smith College): Small World Networks and the Shape of Data (Summer  2020)

• Maria-Cristiana Girjau, Andrew Moore, Audrey Rosevear, Matthew Sanders, Andrew Tawfeek, Dawit Wachelo: Quantum Entropy and Graph Theory (Summer 2019)

At Yale University:

SUMRY (Summer Undergraduate Math Research at Yale).  

• Beata Casiday, Thomas Meyer, Sabrina Mi, Ethan Spingarn: Spinors and Graph Theory (Summer 2021). A video of their work can be found here

At University of Illinois, Urbana-Champaign:

Illinois Geometry Lab (IGL)

• Joel Villatoro (Graduate Team Leader), Oscar Rodrigo Araiza, Leonardo Javier Rodriguez, Jessica Bai, Jordan Stempel: Poisson Geometry in Low Dimensions (Spring 2018)

• Andrew Eberlein, Mateo Muro, Yunting Zhang, Schur Zhao: Graph Theory and Quantum Mechanics (Summer 2017)

• Sarah Loeb (Graduate Team Leader), Sai Aishwarya Korukanti, Zitong Chen, Oscar Rodrigo Araiza: Grapth Theory and Thermodynamics (Spring 2017)

• Sarah Loeb (Graduate Team Leader), Zhe Hu, Michael Toriyama, Boyan Xu, Chengzheng Yu: Quantum Mechanics for Graphs and CW Complexes (Fall 2016)