###### About this webpage I am [Jakub Szymkowiak](https://scholar.google.com/citations?user=BBcSMsYAAAAJ&hl=en), a PhD student in Computer Science, specializing in computer graphics and machine learning. Currently, I’m primarily interested in 3D Gaussian Splatting. I have a deep interest in learning and find taking extensive, structured notes a particularly good way to organize my understanding — this website is where I upload them. Oftentimes, when reading books, papers, and other resources, I find the explanations there to be simultaneously much too technical, blurring the core ideas behind a pile of tedious calculations, and not providing enough structural insight into how these concepts I’m learning about actually play out. In my notes, I try to hit the sweet spot, providing both rigor and intuition. As such, these notes might prove to be too technical for a layman, and at the same time not technical enough to actually learn from — this is what textbooks are for. They are primarily written to benefit my own understanding, but if anyone finds them useful, I’d be delighted. ###### Future plans I'm currently thinking through and writing about a number of topics. Here's a rough plan for what notes are going to appear in the future: 1. I'm polishing my [[Connections and Curvature]] note. It is already very extensive, but lacks a smotoh flow, and I'll probably have to split it in two. 2. Once finished, I'm planning to move onto applying these foundations in learning *general relativity*. 3. I'm also planning to write an introductory note to *Hodge theroy*, since many of the prerequisite topics are already covered. This should let me then study things like *electromagnetism*. 4. Even further, I'm interested in *field theory*, *fiber bundles*, *gauge groups*. i am taking a quantum field theory class in the next semester, so all of these seem natural to study in this context. 5. From the more practical standpoint, I'm planning to write a note about *epipolar geometry*. 6. It would be interesting to deeply study the *Fourier transform*. However, given how much I already know about it, and how much work it would require to write it all down in a way that is satisfying to me, this is a low-priority topics for me. ###### Final comments I’d be very interested in discussing everything and anything related to the topics covered here — feel welcomed to reach out to me at `[email protected]`. Finally, if you enjoy these notes of mine, you might as well want to check out other blogs, which I find to be somewhat similar in spirit — or, at the least , very interesting and inspirational: - [Theoretical Universe](https://shaussler.github.io/TheoreticalUniverse/index.html) by Stéphane Haussler - [Homotopico](https://www.homotopico.com) by Santiago Quintero de los Ríos - [Mathematics for Physics | An Illustrated Handbook](https://www.mathphysicsbook.com) by Adam Marsh - [Physics for Mathematicians](https://nicf.net/articles/physics-for-mathematicians/) by Nicolas Ford - [Inigo Quilez's Blog](https://iquilezles.org)