@ the Algebraists Anonymous we value (I.E. assign non-negative valuation to [!ALL OUR VALUATIONS ARE ARCHEMEDEAN, WE DO NOT SUPPORT ADICS!]) reading no less than we value groups — slightly less perhaps — WHILE it causes ATROPHY and STUCKUPNESS, reading can play the role of his holiness Mister Osiris and guide one's way.
Ecclesiastes 12:12: My son, beware of anything beyond these. Of making many books there is no end, and much study is a weariness of the flesh.
Reading Groups
Homotopy Theory
Jeffrey Strom — Modern Classical Homotopy Theory
Algebraic topology through homotopy theory and the language of categories.
Functional Analysis
Erwin Kreyszig — Introductory Functional Analysis with Applications
Weekly reading and exercises beginning with metric spaces, with a presentation connecting functional analysis and mechanics.
Differential Topology
John M. Lee — Introduction to Smooth Manifolds
A manifolds reading group developed alongside homotopy theory, with a more formal restart in August 2021.
Measure Theory
Donald L. Cohn — Measure Theory
A parallel reading track introduced during the August 2021 restart.
OUr bookshelf thusly:
- Milnor — Topology from the Differentiable Viewpoint
- Katz and Lindell — Introduction to Modern Cryptography
- Lawson — Spin Geometry
- Alsaody — Commutative Algebra and Algebgraic Geometry Lectures (recordings)
- Garcia, Mashreghi, and Ross — Operator Theory by Example
- Øksendal — Stochastic Differential Equations
- Schaefer — Topological Vector Spaces
- Simon — Geometric Measure Theory Lectures (recordings)
- Luzzatto — Ergodic Theory Lectures (recordings)
- Arnold — Mathematical Methods in Classical Mechanics
- Borwein and Lewis — Convex Analysis and Nonlinear Optimization
- Sakurai and Napolitano — Modern Quantum Mechanics
- Hall — Quantum Theory for Mathematicians
- Federer — Geometric Measure Theory
- Clason — Introduction to Functional Analysis
- Kreyszig — Introductory Functional Analysis with Applications
- Fomenko and Fuchs — Homotopical Topology
- Cohn — Measure Theory
- Lee — Introduction to Smooth Manifolds
- Lang — Algebra
- Strom — Modern Classical Homotopy Theory
- Gallian — Contemporary Abstract Algebra
- Hall — Lie Groups, Lie Algebras, and their Representations
- Lang — Complex Analysis
- Hatcher — Algebraic Topology
- Stein — Complex Analysis
- Munkres — Topology
For the chronology of our studies, visit the meeting archive.