Research

• Extremal Graph Theory REU, Rochester Institute of Technology, 2020

  Studied automorphism groups and fixing numbers of graphs.

• Summer@ICERM REU, Brown University, 2022

  Studied parking functions, noncrossing partitions, and bond lattices of graphs.

• Summer research course, Budapest Semesters in Mathematics, 2024

  Studied rooted connectivity in graphs.

Publications

• Removing Symmetry in Circulant Graphs and Point-Block Incidence Graphs, Josephine Brooks, Alvaro Carbonero, Joseph Vargas, Rigoberto Florez, Brendan Rooney, and Darren Narayan, Mathematics 2021
• Fixing Numbers of Point-Block Incidence Graphs, Josephine Brooks, Alvaro Carbonero, Joseph Vargas, Rigoberto Florez, Brendan Rooney, and Darren Narayan, Mathematics 2023

Presentations

• Ohio State Young Mathematicians Conference 2020
• JMM 2023:
  • Pi Mu Epsilon Contributed Session on Research by Undergraduates
  • AMS - PME Undergraduate Poster Session