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Posts by Collection
portfolio
Portfolio item number 2
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research
Path and Cycle Decompositions of Hypercube Graphs
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During the summer of 2021, I participated in an REU at Carnegie Mellon University’s Summer Undergraduate Applied Mathematics Institute. Here two other students and I, advised by Professor David Offner, did novel research in graph theory which we are in the process of writing a paper about.
Fuzzy Type Theory for Opinion Dynamics
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During the spring and summer of 2022, I participated in the Adjoint School 2022 as part of the Fuzzy Type Theory for Opinion Dynamics group headed by Paige North. So far this has resulted in a talk I gave and a blog post I helped write. We are planning on continuing this line of inquiry in the coming months. The link to the Adjoint School 2022 website can be found here.
How to Fuzz Up a Type Theory
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During the Applied Category Theory 2023 conference, I presented a poster detailing the results of a year of continued research from my “Fuzzy Type Theory for Opinion Dynamics” group from the Adjoint School 2022, headed by Paige North. This poster can be found below, and it details our strategy of determining the form of an “enriched dependent type theory” by enriching the categorical semantics of dependent type theory and reading out the resulting syntax.
talks
Type Theory and Agda
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A ten-minute talk I gave at the conclusion of Johns Hopkins University’s Directed Reading Program 2021. No recording is available, but the slides can be found here.
Fuzzy Type Theory for Opinion Dynamics
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A talk I gave during the Applied Category Theory Conference 2022, in which I discussed my group’s work during the research week of the Adjoint School 2022. A recording of the talk can be found here, while the slides can be found here.
What is Constructive Mathematics?
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A talk I gave for the Johns Hopkins University What is… Seminar 2022, in which I give an introduction to constructive mathematics and synthetic differential geometry. A recording of the talk can be found here, and the abstract can be found below.