Reading Group

Reading group is a great way to get up to speed with the cutting edge of the field. If one-on-one meeting is for a personalized learning, reading group is for giving everyone the same baseline knowledge.

Workflow:

• One subset of chapter/proof per week.
• Agustinus points which chapter/section to self-study at home.
• During reading group, one of the participants present the chapter/proof.
• Repeat until materials exhausted.

Fall 2026: Functional Analysis

• Materials:
  • Kreyszig, Erwin. Introductory functional analysis with applications. John Wiley & Sons, 1991
• Why: Chemistry is based on quantum mechanics. Quantum mechanics is functional analysis.

Winter 2027: Stochastic Processes

• Materials:
  • Pavliotis, Grigorios A. "Stochastic processes and applications" Texts in applied mathematics 60 (2014): 41-43.
    • Download for free from campus wifi: https://link.springer.com/book/10.1007/978-1-4939-1323-7
• Why: Gaussian processes are stochastic processes. Modern generative models are derived from stochastic dynamics.

Summer 2027: Riemannian Geometry

• Materials:
  • Lee, John M. "Introduction to smooth manifolds (2nd edition)". Springer, 2013.
    • https://link.springer.com/book/10.1007/978-1-4419-9982-5
  • Lee, John M. "Introduction to Riemannian manifolds (2nd edition)". Springer, 2018.
    • https://link.springer.com/book/10.1007/978-3-319-91755-9
• Why: Many things live in non-Euclidean space. Gravity is Riemannian manifold. Atmospheric dynamics (for predicting weather) is on a sphere.