Academic Activities
Embedded Files
Research
Most of my research has been centered around the interaction of geometry and analysis. The work in my Ph.D. was focussed on geometric frameworks for various pseudo-differential calculi, whereas the work in my master's was focussed on a geometric description of Kasparov's bivariant K-theory. In my undergrad I did several small research projects in the areas of probability, operator algebras, and mathematical biology. Lately I've been extremely interested in applications of machine learning to computer vision (see my Personal Projects for some examples).
Publications & Pre-Prints
Daniel Hudson. On Multiplicative Weightings for Lie Groupoids and Lie Algebroids. Ph.D. thesis, 2024.
Daniel Hudson. Linear Weightings and Deformations of Vector Bundles. arXiv pre-print: arXiv:2312.02457. 2023.
Heath Emerson, Daniel Hudson. Baum-Connes and the Fourier-Mukai Transform. Illinois Journal of Mathematics 66.1: 31-57. 2022.
Rod Edwards, Daniel Hudson. Dynamics of Transcription–Translation Networks. Physica D, 331:102-113, 2016.
Talks
CMS Summer Meeting (Invited), University of Saskatchewan, Saskatchewan (2024)
Workshop on Operator Algebras and Applications: Non-Commutative Geometry, Fields Institute (2023)
Graduate Course on the Tangent Groupoid in Noncommutative Geometry (Invited), Guest Lecture, Fields Institute (2023)
Symplectic Geometry Seminar, University of Toronto (2023)
CMS Summer Meeting (Invited), University of Ottawa, Ontario (2023)
“Gone Fishing” Poisson Geometry Conference, Amherst College, Massachusetts (2023)
Noncommutative Geometry and Geometric Analysis Winter School and Conference (Invited), Villa de Leyva, Colombia (2022)
Local Poisson Micro-Conference, University of Toronto (2021)
OANCG Seminar at Wollongong (Invited), University of Wollongong (2021)
Operator Algebra Seminar, University of Victoria (2021)
Organization & Mentorship
Mentorship
Mentor, Graduate student mentor program, University of Toronto 2023-2024
Mentor, High school math mentor program, University of Toronto 2021-2023
Organization
Organizer, Symplectic Geometry Seminar, University of Toronto Fall 2022 - Summer 2024
Organizer, Canadian Undergraduate Math Conference, University of Victoria 2016
Co-Founder and Vice-President, Students in Undergraduate Math and Stats, University of Victoria 2014 - 2016
Page updated
Google Sites
Report abuse