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 (co-advised with E. Swartz)
- Ethan Shelburne'21: Toward a Holographic Transform for the Quantum Clebsch-Gordan Formula
- Ben Bechtold'19: A General Weil-Brezin Map and Some Applications
- Emilee Cardin'19: Rankin-Cohen 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:
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Noncommutative Geometry: a powerful theory with many applications, including:
- The study of quantum spaces
- The Standard Model of elementary particles
- Number Theory
- Ergodic Theory
- ...
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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
- ...
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History and Philosophy of Mathematics
- The topology of space-time (T. Maudlin's approach)
- Mathematical ideas in philosophical texts
- Infinities and paradoxes
- ...
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Past activities
Reading courses
- Topology
- Abstract algebra
Student seminars
- Maudlinear structures and the topology of space-time
- Applications of group theory
The cartoons above are from xkcd.com.
| Last modified on September 20, 2023. |