Hi All!
Here are my three favorite theorems.
3. The Stable Parametrized H-Cobordism Theorem.
Here is a photo I made some years ago. I called it the “dragon julia set.” I can’t for the life of me remember the type of function that generated it, but if you do, please let me know.
!
I have a blog called Machine Appreciation with Maxine Calle, Thomas Brazelton, and Julian Gould.
Seminars Organized
2022-2023: I co-oeganized the UPenn Homotopy Theory Seminar with Thomas Brazelton.
2021-2023: I co-organized the Graduate Student Seminar with Yi Wang and Maxine Calle
Here are my favorite textbooks for introductions various subjects :).
Topology: Alan Kinsey “Topology of Surfaces”
Abstract Algebra: Charles Pinter “ A book of Abstract Algebra”
Representation Theory: Ernest Vinberg “Linear Representations of Groups”
Algebraic Geometry: Miles Reid “Undergraduate Algebraic Geometry”
Homotopy Theory: Phillip Griffiths & John Morgan “Rational Homotopy Theory and Differential forms”
Algebraic K-theory (for my manifold folks): Jonathan Rosenberg “K-theory and Geometric Topology”
A brief overview of Renee Thom’s work on cobordism and motivation for steenrod operations: Dennis sullivan
An amazing overview for methods in surgery theory: Anthony Conway “A course on Differential Topology and Surgery.”
Morse Theory, Complex Dynamics, Differential Topology: The one and Only John Milnor
Also here are some nice latex write ups of famous books: . TeXromancers
I especially recommend Milnor & Stasheff, Adams Blue Book.
Here are some talks I’ve given accompanied by (terribly) handwritten notes of varying quality:
2023:Equivariant Linearization (TBP)
2022: Thom Spectra and Orientability
2021: Complex cobordism
2021:T(n) Local Tate Vanishing
2021: Topological spherical space form problem
2021: Obstruction theory
2021: Lubin-Tate Theory
2021:Rational Part of Quillen’s Theorem on MU
2021: Atiyah Hirzebruch Sequence notes Copy
2020: Topological spherical space form problem