Honors Theses Supervised:
 Paul Anderson'23: Factors, standard subspaces and antiunitary representations
 Akshata Pisharody'21: Determining Quantum Symmetry in Graphs Using Planar Algebras
 Samantha Phillips'21: Methods to determine quantum symmetry of graphs (coadvised with E. Swartz)
 Ethan Shelburne'21: Toward a Holographic Transform for the Quantum ClebschGordan Formula
 Ben Bechtold'19: A General WeilBrezin Map and Some Applications
 Emilee Cardin'19: RankinCohen Brackets and Fusion Rules for Discrete Series Representations
 Jacopo Gliozzi'19: Minimal Principal Series Representations of SL(3,R)
If you are a William & Mary undergraduate interested in a reading course, independent study or working on a research project, feel free to email me. I am particularly interested in the following topics:

Noncommutative Geometry: a powerful theory with many applications, including:
 The study of quantum spaces
 The Standard Model of elementary particles
 Number Theory
 Ergodic Theory
 ...

Harmonic Analysis: a generalization of Fourier series involving group theory and linear algebra, with applications to:
 Number Theory
 Signal processing
 Classical and Quantum Physics
 The shape of musical instruments
 ...

History and Philosophy of Mathematics
 The topology of spacetime (T. Maudlin's approach)
 Mathematical ideas in philosophical texts
 Infinities and paradoxes
 ...



Past activities
Reading courses
 Topology
 Abstract algebra
Student seminars
 Maudlinear structures and the topology of spacetime
 Applications of group theory
The cartoons above are from xkcd.com.
Last modified on September 20, 2023. 