Proof of Concept

Who am I? In terms of daily activities, I'm about half-half number theorist and mom, with a slice of cyclist thrown in. I was born and raised in the beautiful boreal forest of northern Ontario, where my leg hair froze to my pants and math was my worst subject until someone pointed out to me that puzzles are actually math. In high school, I attended PROMYS, a life-changing number theory summer camp, where we spent long nights skipping curfew and wandering Boston discussing metaphysics. I was an undergraduate at the University of Waterloo, where it was a bit warmer and I could major in the Pure Mathematics Department inside a whole Faculty of Mathematics, and -- yes -- we sometimes played drinking games that involved stating the Fundamental Theorem of Galois Theory or taking a shot. I couldn't get enough of number theory, so I got my PhD (and a silver medal at collegiate cycling nationals, to comfort me as I age) while at Brown University and I'm now a professor at the University of Colorado Boulder. I love anything about integers and algebraic integers (especially imaginary quadratic ones!), math visualizations and the geometry of number theory, algorithms, cryptography, quadratic forms, computing machines, continued fractions, Apollonian circle packings, elliptic curves, factoring, the On-Line Encyclopedia of Integer Sequences, biking up Flagstaff Mountain, and especially my family. When I have a few free moments, I sometimes make a YouTube video. I was originally motivated by my teaching here at CU, but as your comments and likes have floated in, I'm finding it is its own reward. Thanks for your support. math.katestange.net/

3 years ago (edited) | [YT] | 116



@jcortese3300

I only just found your channel, and it's FANTASTIC.

3 years ago | 6  

@SaiGanesh314

Hey, I just commented on your video on the Lehmer Factor Stencils. Absolutely loved it, wonderful! KEEP IT UP.

3 years ago | 2

@gasun1274

wow! love your content, never thought the person behind it would be an even more lovable mom! 😀

3 years ago | 2

@adiosx1635

Stumbled upon your channel today, and subscribed instantly after watching two videos. Keep making videos they are very helpful. Thanks

1 year ago | 0

@9WEAVER9

This channel is full of mental refreshment!

2 years ago | 0

@gracenc

just found your rethinking the reals video, super beautiful and understandable for an aspiring mathematician in HS like me :)

2 years ago | 0

@jaideepshekhar4621

Hey, love your style of videos and how you explain things in a very simple to understand manner, that even the most layman can grasp. It's been a while since the last video, so I'll leave a subscription here. If you ever feel free, please make a video. About anything! Lol.

2 years ago | 0

@kasugaryuichi9767

It's pretty nice to know the person behind the voice! You look pretty awesome for a worn-down person though, are you really sure you are one? In any case, looking forward to more videos!

3 years ago | 4