Greetings Fellow AlphaNovans and other degens. It’s been a long time since I’ve delved into expressing my thoughts through words rather than code and math. I’ll wax philosophically and poetically in this diatribe. It goes as follows:
I love spheres. Always did. Cut me some slack on this for a minute.
I played sports using spherical objects from a young age, and later on, studied spheres and other geometric objects that have symmetrical properties, usually subject to symmetries afforded by what is called a Lie Group action, or for more anally- oriented math geeks, group representations. I won’t go into details here, but look up Hopf Fibration and Exotic Spheres. Can’t be bothered with links on this.
I was a young lad at Berkeley about 1000s years ago, aspiring to be a topologist, or a geometer or an equivariant topologist/geometer. Back in those days, we all knew this amazing dude called Jim Simons, before the world knew that he was a great business man and hedge fund manager. Sometimes I cringe when I read bullshit on LinkedIn about how amazing he was, as if they had spent a bit of time partaking in coffee, beer, or other substances in his presence . Fun fact, my advisor was one of his many business partners, and suggested I reach out to him to get a job “trading stocks”. That was so long ago I am ashamed to mention the year. I wasn’t interested in that at the time, and well, who knows how the path would have gone?
We tried to comprehend Chern-Simons and other mathematical concepts in that general space. I was quite average at it, possibly due to various distractions afforded by the Northern California sunshine, or maybe I wasn’t good enough. I did in fact attempt to understand a course by Isdadore Singer in my first year at Berkeley on a subject called Gauge Theory, but I failed. The first day of that course, the dude said, “for this course, I’ll assume you know everything”. EVERYTHING! There are many other examples, but I did get what Shing Shen Chern was talking about in a course concerning the approach of Elie Cartan on frames and differential geometry.
I met a lot of brilliant people during my sojourn there- amongst my fellow students were: 1. A dude who ended up being the Chairman of the Math department at MIT, 2. Another dude who became one of the world’s foremost Complex Manifold theorists, 3. A dude who created one of the most important Homology Theories in the 20th centuries (sadly he committed suicide) and, lastly, 4. A Dude who helped go through the proof of the Poincare conjecture by Grigori Perelman.
Let me segue into something here. Grigori Perelman, probably amongst the most massively impressive mathematical minds from the 20th Centrury , studied at Saint Petersburg University, Russia.
Just like my coufounder, Alexey.
Respect yo. Top serious math IS from Russia, and, to another extent from France.
Now, how does this relate to spheres? Poincare Conjecture is about the relationship between the the topology and homotopy of spheres. It is deep as fuck and it is super interesting.
Next, Overfitting signals IS a problem about functions on spheres. Trust me. More to come on this.
It is by the way, why, much to the potential chagrin of Alexey, the logo of AlphaNova is a SPHERE.
Stay tuned brothers and sisters.
