2022  4

April  1

Johnson-Wilson theory

April 29, 2022 · 10 min · Torgeir Aambø

March  1

Stable infinity-categories

March 30, 2022 · 17 min · Torgeir Aambø

February  1

The Adams spectral sequence

February 17, 2022 · 13 min · Torgeir Aambø

January  1

Brown-Peterson cohomology

January 20, 2022 · 14 min · Torgeir Aambø

2021  19

December  1

Bousfield localization

December 2, 2021 · 19 min · Torgeir Aambø

November  2

Complex cobordism cohomology

November 18, 2021 · 16 min · Torgeir Aambø

The homotopy groups of the spheres. Part 2

November 8, 2021 · 15 min · Torgeir Aambø

October  2

The homotopy groups of the spheres. Part 1

October 26, 2021 · 10 min · Torgeir Aambø

The stable homotopy category

October 1, 2021 · 12 min · Torgeir Aambø

September  2

Stable homotopy

September 24, 2021 · 9 min · Torgeir Aambø

Formal group laws

September 3, 2021 · 13 min · Torgeir Aambø

August  1

A first look at spectra

August 20, 2021 · 10 min · Torgeir Aambø

July  2

Traveling

July 21, 2021 · 10 min · Torgeir Aambø

On formal DG-algebras

July 19, 2021 · 14 min · Torgeir Aambø

June  1

Tensor triangulated categories

June 28, 2021 · 11 min · Torgeir Aambø

May  2

Updated geometric intuition

May 20, 2021 · 13 min · Torgeir Aambø

Schemes

May 18, 2021 · 15 min · Torgeir Aambø

April  2

Sha-algebras

April 19, 2021 · 8 min · Torgeir Aambø

The associating homotopy

April 3, 2021 · 12 min · Torgeir Aambø

March  1

Spaces with operations

March 4, 2021 · 6 min · Torgeir Aambø

February  1

Homotopy associativity

February 12, 2021 · 8 min · Torgeir Aambø

January  2

A lecture in my second year

January 19, 2021 · 14 min · Torgeir Aambø

Hanging pictures with knots

January 6, 2021 · 8 min · Torgeir Aambø

2020  24

December  1

Are there knots?

December 2, 2020 · 7 min · Torgeir Aambø

November  1

Quasi-categories

November 30, 2020 · 6 min · Torgeir Aambø

October  2

Vertical monoids

October 16, 2020 · 4 min · Torgeir Aambø

Equivalence of categories

October 8, 2020 · 6 min · Torgeir Aambø

September  2

The homotopy litmus test

September 30, 2020 · 8 min · Torgeir Aambø

Under category

September 8, 2020 · 4 min · Torgeir Aambø

August  2

Defining the cosmos: Properties and definition

August 19, 2020 · 9 min · Torgeir Aambø

Defining the cosmos: Enriched category theory

August 4, 2020 · 8 min · Torgeir Aambø

July  3

The Warsaw circle

July 31, 2020 · 5 min · Torgeir Aambø

Orbifolds

July 22, 2020 · 9 min · Torgeir Aambø

Sheaves

July 7, 2020 · 9 min · Torgeir Aambø

June  5

Swan’s theorem

June 24, 2020 · 11 min · Torgeir Aambø

The homotopy category

June 14, 2020 · 8 min · Torgeir Aambø

Homotopy in model categories

June 7, 2020 · 8 min · Torgeir Aambø

Model categories

June 6, 2020 · 8 min · Torgeir Aambø

Cofibrations

June 2, 2020 · 9 min · Torgeir Aambø

May  8

Hanging pictures with homotopy

May 29, 2020 · 8 min · Torgeir Aambø

A homotopy group of a sphere

May 28, 2020 · 13 min · Torgeir Aambø

The Serre spectral sequence

May 27, 2020 · 9 min · Torgeir Aambø

Homotopy groups

May 16, 2020 · 7 min · Torgeir Aambø

Fiber bundles

May 15, 2020 · 4 min · Torgeir Aambø

Fibrations

May 14, 2020 · 4 min · Torgeir Aambø

More geometric intuition

May 13, 2020 · 4 min · Torgeir Aambø

Geometric intuition

May 12, 2020 · 5 min · Torgeir Aambø