Scribe notes

This is not an exhaustive list; if you're interested in something else you think I might have notes for, feel free to ask me via email (ebelmont at ucsd dot edu).

Seminars and workshops

Talbot Workshop 2017, on obstruction theory for $E_\infty$ ring spectra.
West Coast Algebraic Topology Seminar (WCATSS) 2016, on chromatic homotopy theory.
Talbot Workshop 2016, on Hill-Hopkins-Ravenel's proof of the Kervaire invariant one problem (including an introduction to equivariant homotopy theory).
Talbot Workshop 2015, on applications of operads (including configuration spaces and knot theory, formality and deformation quantization, embedding calculus, and the Grothendieck-Teichmuller group).

MIT courses (taken as a graduate student)

18.917: The Gamma function and the field with one element, taught by Clark Barwick. Tate's thesis, $\mathbb{F}_1$, cyclotomic spectra, $THH$ and zeta functions. (pdf, tex) (Spring 2017)
18.786: Number theory II, taught by Bjorn Poonen. Tate's thesis, Galois cohomology, introduction to Galois representation theory, including the statement of the local Langlands correspondence. (pdf, tex) (Spring 2015)
18.785: Algebraic number theory, taught by Bjorn Poonen. Algebraic number theory (up through adèles, Dirichlet's unit theorem, and finiteness of the class group), and a short introduction to analytic number theory. (pdf, tex) (Fall 2014)
18.965: Geometry of manifolds, taught by Paul Seidel. Differential topology and differential geometry. (Fall 2013)

Cambridge (Part III), 2012-2013

Elliptic curves, taught by Tom Fisher. Introduction to elliptic curves over $\mathbb{F}_p$, local fields, and $\Q$.
Lie algebras, taught by C. Brookes. Lie algebras, root systems, representation theory of Lie algebras.
Algebraic geometry, taught by Caucher Birkar. Sheaves, schemes, sheaf cohomology.
Commutative algebra, taught by Nick Shepherd-Barron. Roughly follows Atiyah-Macdonald, plus modules of differentials, and some homological algebra.

Harvard (some courses I took as an undergraduate)

Math 229: Analytic number theory, taught by Barry Mazur. Zeta functions and functional equations, the prime number theorem, Dirichlet $L$-functions, Artin $L$-functions, primes in arithmetic progressions. (Spring 2012)
Math 232a: (Classical) Algebraic geometry, taught by Xinwen Zhu. Course on varieties, following Mumford's Complex Projective Varieties. (Fall 2011)
Math 114: Real analysis, taught by Peter Kronheimer. Measure, integrability, Fourier series, $L^p$ spaces. (Fall 2011)
Math 231br: Algebraic topology (notes taken by Akhil Mathew and me), taught by Michael Hopkins. Serre spectral sequence, Eilenberg-Maclane spaces, model categories, simplicial sets, rational homotopy theory of spheres. (Spring 2011)