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The Deranged Mathematician

Senia Sheydvasser

The personal Substack of mathematician Senia Sheydvasser, all about learning math and its applications.

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PricingFreemiumPublishesTwice weekly
Issues53Founded7 months agoLast Issue8 days ago
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Latest Issues

A Primer on Measure Theory

This is a standalone post, although in some ways it acts as a bridge between two posts that I have already written and another that I intend to write.

Specifically, a recurring theme in this post is that we will study under what circumstan...

8 days ago
44
15

Classifying Groups

Last time, we discussed Lagrange’s theorem, the orbit-stabilizer theorem, and their myriad consequences.

As part of these corollaries, we successfully classified all groups with no more than 8 elements, up to isomorphism. (If you read care...

11 days ago
7
3

What do Brazil, Auctions, and Multi-Threading Have in Common?

I have argued before that one of the things that makes math math is the fact that context doesn’t matter—structure does. You can define a certain mathematical concept, and then have it appear in many different contexts, because the logical...

15 days ago
23
8

How to Count (with Symmetry)

In our last lecture, we proved the ping-pong lemma and showed how it can be used to compute presentations of various groups.

At least for now, this wraps up what I want to do with regard to the geometric side of group actions. But we went...

18 days ago
7
6

Is Category Theory Practical?

I had a post last month about category theory and how it was useful from a big-picture, philosophical point of view.

I think that that alone is sufficient to justify its study—I’ll talk a bit more about why in a second.

Furthermore, categ...

22 days ago
30
12

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  • Senia Sheydvasser

    Mathematician devoted to seeing the world learn.

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