If you want to leave me a tip: ko-fi.com/eigenchris

Introduction to differential forms playlist: youtube.com/playlist?list=PLB8F2D70E034E9C29
Classical differential geometry notes: liavas.net/courses/math430/

Topology Lectures by Dr Tadashi Tokieda: youtube.com/watch?v=SXHHvoaSctc&list=PLTBqohhFNBE_…
Snoopy Topology Notes (written by a class of students): www.math.colostate.edu/~renzo/teaching/Topology10/…

Quick and Dirty Introduction to Exterior Calculus has gone offline, but archived notes are on Wayback Machine:
web.archive.org/web/20191221153300/http://brickisl…
web.archive.org/web/20191221153400/http://brickisl…
web.archive.org/web/20191221195625/http://brickisl…
web.archive.org/web/20191222002003/http://brickisl…
web.archive.org/web/20191221104907/http://brickisl…


eigenchris

I'm hoping to have the Dirac Equation video posted by Sunday. I ended up splitting this video into 2 parts because there's a lot to cover. Concepts like helicity, dirac current, and anti-matter will be in the next video instead.

2 days ago | [YT] | 299

eigenchris

Someone pointed out to me that today (16th of Sept. 2025; aka 16/9/25) is "Pythagorean Triple Square Day".
4*4 + 3*3 = 5*5 = 16 + 9 = 25.

Neat.

1 month ago | [YT] | 277

eigenchris

For Spinors videos 23 and 24, I've added subtitles to the videos, and also added the slides to my eigenchris github.

Video 25 on the Dirac Equation solutions will take longer than the previous two videos, since there are more concepts to figure out. But I'm working on it now.

1 month ago | [YT] | 228

eigenchris

Crossing my fingers for uploading my next video on Sunday. Previous video was on scalar (Klein-Gordon) fields, and this video is on vector (Proca and Maxwell) fields.
Final entry in the trio will be spinor (Dirac and Majorana) fields, but I'm not sure when that will get done yet.

1 month ago | [YT] | 299

eigenchris

Been a while since I've posted, but I still have a few more "Spinors for Beginners" videos I have to finish. Hopefully the next one will be out tomorrow.

Originally I was planning to do the Klein-Gordon, Proca, and Dirac equations all in one video, but I decided to split them up to make it easier on me.

1 month ago (edited) | [YT] | 426

eigenchris

After a long absence, I think I might be able to release the Spinors for Beginners 21 video (95-minutes!) on the weekend.
Hopefully I don't find any major mistakes until then!

10 months ago | [YT] | 841

eigenchris

Hi all. I realize it's been a few months since I've uploaded. I haven't forgotten about my series on spinors. It's just that the next video (which is an intro to quantum fields) has become quite long--approximately 90 minutes. I'm working on finishing it up now. After it's complete I'll probably upload the whole thing as "Spinors video #21", and then chop it into pieces and upload it again as its own mini-series. I hope to have it done this month.

11 months ago | [YT] | 525

eigenchris

I'm hoping I'll be able to upload my next video on Sunday. It will be a deep dive on the properties of the Dirac Equation and Gamma Matrices.

Also, I've "skipped" a video yet again. Video 21 is going to be an introduction to QFT, but it's taking me longer to put all of that together. I'll get video 21 out later.

1 year ago | [YT] | 366

eigenchris

Spinors for Beginners 20 should be uploaded this weekend, probably Sunday.

Sorry for how long this one took. There's a *lot* of details in it, and it's currently sitting at 53min long. Representation theory has definitely been the most confusing part of this video series for me so far. I'm hoping this video will lay out the Lorentz group/algebra representations clearly.

1 year ago | [YT] | 254

eigenchris

Hi, all. Just repeating what I posted under my last video:

I'm glad that people have been appreciating the April Fools' videos I've made over the last few years, but moving forward, I can't promise I'm going to continue making them. I've been feeling less motivated to make them lately, and it's starting to feel less like a fun thing I enjoy doing and more like a chore that I need to uphold for the sake of tradition. I'd rather focus on making the videos I actually want to make. Sometimes that will include joke videos, but I'd rather make those naturally instead of being on a schedule.

1 year ago | [YT] | 613