notes & projects

some notes and projects

projects

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burnside sampler

an interactive browser visualizer and verified prime-field implementation of Burnside sampling on the symmetric group

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modular reduction

a Python and Sage research package for modular reduction of complex representations of finite reductive groups

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braidmod

a machine-learning project that uses Burau matrices and model confusion to probe the kernel of the reduced Burau representation in B_4 mod p

talks & notes

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animated 3-manifolds

under the supervision of Dror Bar-Natan in 2017, I used computer graphics and animation to create a visual companion to Allen Hatcher’s book Notes on 3-Manifold Topology.

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Kazhdan-Laumon poster

a poster describing my work on Kazhdan-Laumon categories from the Canada-USA-Mexico representation theory conference in Montreal in August 2023

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quantum groups notes

notes from the talks I gave on the proof of a PBW-type theorem for quantum groups via a quantum braid group action at the Quantum Groups Seminar at IAS.