Complex Multiplication -- by Jared Weinstein (Boston University)

Breaking News in Number Theory (April, 2025)

"Feynman's" integration trick (differentiation under the integration sign)

Finite Abelian Groups - 31 - A First Course in Abstract Algebra

What is... a PhD in Math?

p-Primary Components - 30 - A First Course in Abstract Algebra

p-Groups - 29 - A First Course in Abstract Algebra

Example of group homomorphism and kernel

Every abelian group of order 51 is cyclic

An Example: More about Quaternions - 28 - A First Course in Abstract Algebra

Facts about quadratic equations/parabolas

The Correspondence Theorem - 27 - A First Course in Abstract Algebra

Noether's Isomorphism Theorems - 26 - A First Course in Abstract Algebra

THE RIEMANN HYPOTHESIS IS FALSE (please watch till the end)

Examples of Kernels and Quotients - 25 - A First Course in Abstract Algebra

The best can (optimization)

Homomorphisms - 24 - A First Course in Abstract Algebra

Properties of Normal Subgroups - 23 - A First Course in Abstract Algebra

Quotient Groups and Normal Subgroups - 22 - A First Course in Abstract Algebra

How to sketch the graph of a polynomial (without derivatives)

Internal Direct Products - 21 - A First Course in Abstract Algebra

Direct Products - 20 - A First Course in Abstract Algebra

Cayley's Theorem - 19 - A First Course in Abstract Algebra

A new kind of prime! Introducing "distant cousins"

A discrete dynamical system of triples of numbers... 495, 594

Un poco de curvas elípticas

Properties of Isomorphisms - 18 - A First Course in Abstract Algebra

Isomorphisms - 17 - A First Course in Abstract Algebra

Comparing Groups - 16 - A First Course in Abstract Algebra

How do we decide what's important in math?

The order of a*b and the order of b*a coincide in a group

"Avoid if you can!" -- one of my Rate My Professor reviews

Two formulas for pi as infinite series

Addition on an elliptic curve

Fermat's and Euler's Theorems - 15 - A First Course in Abstract Algebra

An Example: Hamilton's Quaternions - 14 - A First Course in Abstract Algebra

Lagrange's Theorem - 13 - A First Course in Abstract Algebra

Cosets - 12 - A First Course in Abstract Algebra

Dihedral Groups - 11 - A First Course in Abstract Algebra

What polygon is the "best-a-gon"?

The Alternating Group - 10 - A First Course in Abstract Algebra

Example: Verifying Group Axioms - 4b - A First Course in Abstract Algebra

Inverse of a Permutation - 9b - A First Course in Abstract Algebra

A problem about an infinite number of one dollar and twenty dollar bills

What is a Permutation Group - 9 - A First Course in Abstract Algebra

Problems about primes, from easy to Fields medal with tiny tweaks

Properties of Cyclic Groups - 8 - A First Course in Abstract Algebra

Cyclic groups - 7 - A First Course in Abstract Algebra

Subgroups - 6 - A First Course in Abstract Algebra

Is 2/3 always equal to 4/6?

Basic Properties of Groups - 5 - A First Course in Abstract Algebra

What Is... A Group? - 4 - A First Course in Abstract Algebra

The Integers Modulo N - 3 - A First Course in Abstract Algebra

The Integers - 2 - A First Course in Abstract Algebra

What is... Abstract Algebra? - 1 - A First Course in Abstract Algebra

Logistics - 0 - A First Course in Abstract Algebra

About Gödel and the existence of God

What is... a Lie group?

A proof of the Riemann Hypothesis??

Number Theory and Geometry -- Fermat's little theorem