What is Mr. H working on?

If you want to know a little bit about Group Theory in particular, here is a link to a website that attempts to introduce the concepts.

https://www.cantorsparadise.com/an-invitation-to-group-theory-c81e21ab739a

Here is a Wikiversity page that you can peruse if you would like a little more of a technical introduction.

https://en.wikiversity.org/wiki/Introduction_to_group_theory

Aside from my academic work, as a result of an article that Mr. Nell sent me over a summer, I am attempting to create my own user-friendly, 3D representation of the quaternions.  If you would like, you can read more about them here:

https://en.wikipedia.org/wiki/Quaternion

and here is a (pretty technical) article that describes their application in computer graphics programming:

https://www.3dgep.com/understanding-quaternions/

1/12/26: I have lately been very interested in building fairly comprehensive physical models of a few scenarios that have either piqued my interest recently, have been something that I have had students work on to a lesser degree, or that have haunted me from my undergraduate coursework.  A few of them are below...

Desmos 3D Model of a Baseball Hit in Fenway Park (extension of a student project...the goal is to eventually include a wind component and air resistance on the ball)

Desmos Model of a Ball's Path with Air Resistance (2D)

Balloon Tethered to the Ground (Buoyance Model with Trigonometric Component) (a haunt from my undergraduate modeling course...the goal is to eventually include a weight attached to the balloon which further affects the air resistance on the balloon, as well as increasing its mass, and allowing for user adjustments of the balloon's size)