Professor of Mathematics, number theorist (arithmetic geometry), author, Hagoromo ambassador. Views expressed are my own.

An example of a 3-adic number
3:40
An example of a 3-adic number
Why aren't kids learning the subtraction algorithm that we learned!?
3:19
Why aren't kids learning the subtraction algorithm that we learned!?
The proof of 1+1=2
3:07
The proof of 1+1=2
Who was the greatest scientific mind of all time? ... NOT Newton.
4:48
Who was the greatest scientific mind of all time? ... NOT Newton.
Local rings and localization of Z
3:38
Local rings and localization of Z
On gratuitous math phobia
3:25
On gratuitous math phobia
The end of the Universe is coming sooner than expected!
3:07
The end of the Universe is coming sooner than expected!
Using the Sylow Theorems - 44 - A First Course in Abstract Algebra
32:20
Using the Sylow Theorems - 44 - A First Course in Abstract Algebra
How to fight imposter syndrome back
4:37
How to fight imposter syndrome back
My Favorite Proof in Abstract Algebra
5:51
My Favorite Proof in Abstract Algebra
The Area of a Dodecagon is 3R^2
6:22
The Area of a Dodecagon is 3R^2
The Third Sylow Theorem - 43 - A First Course in Abstract Algebra
15:14
The Third Sylow Theorem - 43 - A First Course in Abstract Algebra
What if pi = 3? What could go wrong!? EVERYTHING!
4:22
What if pi = 3? What could go wrong!? EVERYTHING!
The Second Sylow Theorem - 42 - A First Course in Abstract Algebra
16:59
The Second Sylow Theorem - 42 - A First Course in Abstract Algebra
Dr. Panchanathan (previous NSF director) received an honorary PhD from UConn
5:41
Dr. Panchanathan (previous NSF director) received an honorary PhD from UConn
The Premier League, Fibonacci, and Probability
4:14
The Premier League, Fibonacci, and Probability
The First Sylow Theorem - 39 - A First Course in Abstract Algebra
24:34
The First Sylow Theorem - 39 - A First Course in Abstract Algebra
Cauchy's Theorem - 38 - A First Course in Abstract Algebra
18:07
Cauchy's Theorem - 38 - A First Course in Abstract Algebra
What does math research look like?
3:01
What does math research look like?
Introduction to the Sylow Theorems - 37 - A First Course in Abstract Algebra
8:41
Introduction to the Sylow Theorems - 37 - A First Course in Abstract Algebra
Consequences of the Class Equation - 36 - A First Course in Abstract Algebra
14:38
Consequences of the Class Equation - 36 - A First Course in Abstract Algebra
The Class Equation - 35 - A First Course in Abstract Algebra
24:59
The Class Equation - 35 - A First Course in Abstract Algebra
The Orbit-Stabilizer Theorem - 34 - A First Course in Abstract Algebra
16:48
The Orbit-Stabilizer Theorem - 34 - A First Course in Abstract Algebra
Properties of Group Actions - 33 - A First Course in Abstract Algebra
36:39
Properties of Group Actions - 33 - A First Course in Abstract Algebra
Group Actions - 32 - A First Course in Abstract Algebra
32:38
Group Actions - 32 - A First Course in Abstract Algebra
Why doesn't the math department determine the advisor for each grad student?
3:54
Why doesn't the math department determine the advisor for each grad student?
Normalizers - 41 - A First Course in Abstract Algebra
31:42
Normalizers - 41 - A First Course in Abstract Algebra
The Sylow Theorems (Examples) - 40 - A First Course in Abstract Algebra
30:24
The Sylow Theorems (Examples) - 40 - A First Course in Abstract Algebra
Complex Multiplication -- by Jared Weinstein (Boston University)
1:00:51
Complex Multiplication -- by Jared Weinstein (Boston University)
Breaking News in Number Theory (April, 2025)
44:16
Breaking News in Number Theory (April, 2025)