Welcome! - Jacob Hume

# Biography I am studying Part C Mathematics at Oxford, where I also work with [Michael Bronstein](https://www.cs.ox.ac.uk/people/michael.bronstein/) on geometry-informed generative models. Broadly speaking, I am interested in geometrically analyzing data and analyzing geometric data toward scientific applications. I was [at Cambridge before this](https://en.wikipedia.org/wiki/Part_III_of_the_Mathematical_Tripos), during which time I was fortunate to be mentored by [Pietro Liò](https://www.cl.cam.ac.uk/~pl219/) on geometric and topological deep learning and by [Laura Balzano](https://web.eecs.umich.edu/~girasole/?page_id=235) on temporal networks and manifold learning. I am originally from Michigan, USA. Outside of academia, I enjoy playing the cello, learning languages, running, and strategy card games. I am a proponent of [Federico Ardila's axioms](https://www.ams.org/publications/journals/notices/201610/rnoti-p1164.pdf) in my teaching and research. [[Welcome!#[Contact](mailto [email protected])|Feel free to reach out!]] # Selected Topics [(scholar)](https://scholar.google.com/citations?user=EVYn1s4AAAAJ&hl=en) [[Complex networks and Grassmannian geometry]]Machine LearningCognitive ScienceGeometry, TopologyComplex Systems [[Dynamic Manifold Learning]]Machine LearningCognitive ScienceGeometry, TopologyComplex SystemsHarmonic Analysis [[Sheaves in Geometric and Topological Deep Learning]]Machine LearningGeometry, TopologyComplex Systems [[Blind Deconvolution using Fourier Edge Detection]]Machine LearningHarmonic AnalysisNatural Sciences [[Wavelets for Analytical Chemistry]]Machine LearningHarmonic AnalysisNatural Sciences [[Algorithmic Counterpoint and Generative Musical Grammar]] Machine LearningCognitive Science [[Blending Immersion and Spaced Repetition in Vocabulary Acquisition]] Machine LearningCognitive Science # [Contact](mailto:[email protected]) ^5a0b50 `[email protected]` # The Garage Door Recently, I have been practicing [working with the garage door up](https://notes.andymatuschak.org/About_these_notes?stackedNotes=z21cgR9K3UcQ5a7yPsj2RUim3oM2TzdBByZu) while studying mathematics and related fields. Behind this website is a wiki of various notes I have taken, wherein each note should be understood not as a snapshot of mathematics, but as a snapshot of myself consolidating a piece of knowledge for the first time. These notes may not be comprehensive, nor correct (!), nor up-to-date. Indeed, they should not be if I am "learning in public" correctly! To enter the garage (desktop only), click the leftmost icon ('global graph') on the digital graph widget and select a node from the network displayed. > [!basicnonexample] Under Maintenance. > > ["We're gonna need a bigger garage"](https://www.youtube.com/watch?v=QT9BeGNnCqw) > > The garage is temporarily incomplete as I migrate to a new, more performant backend. Everything should be restored by 2026 :) > [!metadata|noicon] %%fake title%% > > <figure style="text-align: center;"> > <video src="partiiigraphhigher.mp4" autoplay loop muted playsinline style="max-width: 100%;"></video> > <figcaption style="font-size: 0.9em; color: gray; margin-top: 4px;"> > A temporal graph of my notes taken while at Cambridge > </figcaption> > </figure> > %% # Other Projects %% %% > [!basicnonexample] Coming Soon. %% %% > %% ^nonexample