Lucas N. F. Teles
November 2026
Abstract
Currently I'm persuing a Masters' in Mathematics at the University of São Paulo under the supervision of Professor Valentin Ferenczi and am a recipient of a FAPESP scholarship. My main focus is in Banach space theory, but I'm also interested in set-theoretic topology. Besides my academic endeavors, I am quite interested in art in various mediums.
Contents
1 Introduction
Welcome to my website! Many things here are clickable, so hover your mouse over things and if they get underlined, then you found a hyperlink. Hyperlinks that lead to other websites open new tabs and the ones that lead to another page of my website open on the same tab. If you wish to come back to the main page you can always click the title.
Here I host some papers, notes and blog posts, my presentations and academically relevant information (such as my teaching experience). I also share other projects of mine, math-related or not. Lastly, I have a section on interesting resources that I find might be useful (mostly done so I have a easy way to find them if I, or someone else, needs it).
When \(a \ne 0\), there are two solutions to \(ax^2 + bx + c = 0\) and they are \[x = {-b \pm \sqrt{b^2-4ac} \over 2a}.\]
2 Papers and notes
2.1 Papers and pre-prints
So far I haven't yet any preprints or papers, when I do they will be hosted here.
I do have an undergrad thesis (which is theoretically citeable) but which contains no new results or proofs, it is an exposition of a already known combinatorial result in Banach space theory, namely Krivine's theorem. By clicking on the reference bellow you can go to the University of São Paulo thesis repository (if the link is broken, you can also click here).
2.2 Longer notes
Along the years, mostly for my initial years of "research initiation" during undergrad, I wrote some longer notes on the subjects I was studying. The reader is advised against opening these files, the quality of the writting is substandard and reflects how I was long ago as a mathematician, and (thankfully) not how I am as a writer.
2.3 Blog posts
Very ocassionally I also want to write small snippets of mathematics which, at the moment, don't quite fit into longer notes or any papers. These I post here as blog posts. The reader should be warned these are casual mathematical write-ups and are not always subject to a very thorough revision process. That being said, any corrections/suggestions for improvements are appreciated.
Most recent blog posts.
Selected posts.
All of my previous posts are still hosted. Here you can find a list with all of them in chronological order. And if you wish to search for posts by tag you can do clicking in any of the following: [Under construction]
3 Mathematical exposition
3.1 Talks and presentations
3.2 Event participations
3.3 Teaching activities
4 Arts and extracurriculars
5 My CV
Contact information
You can contact me by email at "teles (guess the symbol) ime.usp.br". You can also find me (rarely) on Mathstodon, and I also have a not-up-to-date Goodreads profile.