Mathematical Sciences Department
George Mason University
hbray [at] gmu [dot] edu
Undergraduate research projects I've led include:
Winter 2020: With Giuseppe Martone, I co-supervised the
LoG(M) project, entropy degeneration of ideal projective
pants. Grad mentor: Mitul Islam. Undergraduate
researchers: Marianne DeBrito, Andrew Nguyen, and Marisa O'Gara.
Submitted for publication (DeBrito, Nguyen, O'Gara)
Fall 2019: I supervised the LoG(M) project, growth
rates of tent maps. Grad mentor: Yiwang Chen.
Undergraduate researchers: Robert Buckley, Grace O'Brien, and Zoe
Submitted for publication (Buckley, Chen, O'Brien, Zhou)
Fall 2018: I supervised the LoG(M) project,
modeling convex projective geometries Grad mentors: Samantha Pinella and Robert Walker Undergrad researchers: Rudreshwaran Ranganathan, Steven
Schaefer, and Hanissa Shamsuddin
I am not a formal advisor of these students, but I enjoyed
talking with Mitul Islam, Samantha Pinella, and
Feng Zhu during the overlap of their time as graduate students and my
time as a postdoc at the University of Michigan.
LoG(M) is an undergraduate math research program. It is part of the
Geometry Labs United network.
The lab runs 3-4 projects per semester with emphasis on computation
and visualization as media for engaging undergraduates in modern
mathematical research. Each project is led by 1-2 faculty supervisors
with assistance from 1-2 graduate student mentors, and 3-4
My role as director of LoG(M) included the following:
recruiting and supporting project mentors
recruiting and mentoring qualified undergraduate researchers
developing students' computing and communication skills
providing feedback to students on written material