Exotic algebraic models
March 14, 2024
Hopf algebroids
May 9, 2023
Adapted homology
March 24, 2023
Universal homology
January 31, 2023
Chromatic redshift
November 29, 2022
Periodic torsion is torsion periodic
October 11, 2022
Johnson-Wilson theory
April 29, 2022
Stable infinity-categories
March 30, 2022
The Adams spectral sequence
February 17, 2022
Brown-Peterson cohomology
January 20, 2022
Bousfield localization
December 2, 2021
Complex cobordism cohomology
November 18, 2021
The homotopy groups of the spheres. Part 2
November 8, 2021
The homotopy groups of the spheres. Part 1
October 26, 2021
The stable homotopy category
October 1, 2021
Stable homotopy
September 24, 2021
Formal group laws
September 3, 2021
A first look at spectra
August 20, 2021
On formal DG-algebras
July 19, 2021
Tensor triangulated categories
June 28, 2021
Updated geometric intuition
May 20, 2021
Sha-algebras
April 19, 2021
The associating homotopy
April 3, 2021
Spaces with operations
March 4, 2021
Homotopy associativity
February 12, 2021
A lecture in my second year
January 19, 2021
Hanging pictures with knots
January 6, 2021
Are there knots?
December 2, 2020
Quasi-categories
November 30, 2020
Vertical monoids
October 16, 2020
Equivalence of categories
October 8, 2020
The homotopy litmus test
September 30, 2020
Under category
September 8, 2020
Defining the cosmos: Properties and definition
August 19, 2020
Defining the cosmos: Enriched category theory
August 4, 2020
The Warsaw circle
July 31, 2020
Swan’s theorem
June 24, 2020
The homotopy category
June 14, 2020
Homotopy in model categories
June 7, 2020
Model categories
June 6, 2020
Cofibrations
June 2, 2020
Hanging pictures with homotopy
May 29, 2020
A homotopy group of a sphere
May 28, 2020
The Serre spectral sequence
May 27, 2020
Homotopy groups
May 16, 2020
Fiber bundles
May 15, 2020
More geometric intuition
May 13, 2020
Geometric intuition
May 12, 2020