Activity

I’ve decided to migrate the content of the blog [here](https://rmehtany.github.io/notes/AlgebraicGeometry/) as I wasn’t particularly happy with the styling and features of the site. Be sure to check it out!

Basic Special Functions are Absolute Value Function, Signum Function, Floor and Ceiling Functions, Fractional Part Function and Integer Function.

$$
begin{array}{|l|l|l|l|l|}
hline text { notation } & […]

Let $ (x_n) $ be a sequence of reals.

$ p in mathbb{R} $ is an accumulation point of the sequence if for every $ epsilon > 0 $, $ x_n $ lies in $ (p-epsilon, p+epsilon) $ for infinitely many $ n $ […]

Let $ S $ be a set. Recall a partition of $ S $ is a collection of non-empty pairwise disjoint subsets with union $ S$.

Any partition $ P $ of $ S$ gives a relation $a sim_P b stackrel{text{def}}{iff} ( a, […]

::: {.lemma}
**Lemma 1**. *Suppose $E$ is a Riesz space, $F$ is an order ideal of $E$
and $(f_i)_{iin I}$ is a net in $F$. Then $f_i$ converges (in order) to
an element $f$ in $F$ iff and only if $f_i$ […]

Welcome to the blog Infinity!

Before anything else, we will start with definitions.

– **Antiderivative**
> Given a well-defined function $f$ on an interval $[a,b]$, the antiderivative of $f$, which we denote as $F$, is also a function […]

# Notes

This was a beamer slideshow that [badly] converted into a more text like format. This was also meant for a “maths talk” I did on how to introduce homeomorphisms in a more interesting way.

# […]

# Initial Notes

These notes were also written in December 2020 just as I started to figure out how to use $LaTeX$, and started to write things related to math. This was actually used in a Youtube video I […]

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>There she stood in the doorway
>I heard the mission bell
>And I was thinking to myself
>”This could be Heaven or this could be Hell”
$tiny{text{The Eagles – Hotel California}}$

Infinity in […]

So I’m going to try this out as a way of writing down things I’m thinking about/working on. I’m a part-time lecturer with 2 kids so the amount of research I do is basically negligible, but I do sometimes […]

I am a mathematics PhD student at Vilnius university. I care about arithmetic geometry and isogeny based cryptography.

This blog is intended as an online journal for my learnings and research. I also intend add […]

I’ve been playing around with orientations of Thom spectra lately and I realized that I kept getting tripped up by the difference between the notion of an $E$-orientation given in [ABGHR] and the “classical” […]