The Chinese Remainder Theorem via Ring Theory -- Rings and Fields 14

More isomorphism theorems and applications -- Rings and Fields 13

The first isomorphism theorem -- Rings and Fields 12

The basics of ring homomorphisms -- Rings and Fields 11

What is a Euclidean domain? -- Rings and Fields video 10

The ACC and PIDs are UFDs -- Rings and Fields 9

Principal ideals and intro to PIDs -- Rings and Fields 8

The what, why, and how of quotient rings -- Rings and Fields 7

F[x] is a UFD and Eisenstein's Criterion -- Rings and Fields 6

How polynomial over a field are "like" integers -- Rings and Fields 5

Irreducibles, Primes, and Factorization -- Rings and Fields 4

Associates and units in Integral Domains -- Rings and Fields 3

More examples and general results -- Rings and Fields 2

Basic definitions and examples -- Rings and Fields 1

Zn invariants of Fermions via direct calculation

The conformal vector for one free Boson

from brackets to operator product expansion

The fundamental group -- Topology Video 25

The semi-direct product and the first steps of classification.

Homotopy Classes of the circle -- Topology Video 24

Homotopy Equivalence -- Topology Video 23

A very little bit about matrix groups

Some tricks for using the Sylow Theorems

The Sylow Theorems

Burnside's Theorem and Counting

Group Actions and the Class Equation

Subnormal/composition series and the Jordan-Holder theorem

Regular and Normal Spaces -- Topology Video 22

1st/2nd countable and Lindelöf spaces --Topology Video 21

compactness and infinite products -- Topology Video 20

the product and box topology -- Topology Video 19

one point compactification -- Topology Video 18

limit point compactness -- Topology Video 17

more applications of compactness -- Topology Video 16

The tube lemma and more! -- Topology Video 15

Compactness by definition -- Topology Video 14

Path connectedness -- Topology Video 13

connectedness in various parts of the real numbers -- Topology Video 12

connected topological space -- Topology video 11

the quotient topology -- Topology Video 10

the metric topology, sequences, and continuity -- Topology video 9

the metric topology -- Topology video 8

Hausdorff spaces and the T1 axiom -- Topology video 7

The closure and limit points -- Topology video 6

The subspace topology -- Topology video 5

a basis for a topology -- Topology Video 4

the topological notion of continuity -- Topology 3

Examples of topologies and closed sets -- Topology video 2

Open sets of real numbers -- Topology video 1

An algorithm for verifying Legendre's conjecture -- Math Major Seminar

Serre's Theorem -- Lie Algebras 27

All possible Dynkin diagrams -- Lie Algebras 26

Simplicity of symplectic Lie algebras -- Lie Algebras 25

On the simplicity of 𝖘𝖔(n) -- Lie algebras 24

Towards simplicity of the Classical lie algebras -- Lie Algebras 23

The Weyl Group -- Lie Algebras 22

A base for a root system -- Lie Algebras 21

Root systems -- Lie algebras 20

Into the geometry of roots -- Lie algebras 19

Root strings -- Lie algebras 18