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Earlier this week, I had the opportunity to give a guest lecture in @ClaudioJacobo& #39;s math history course.
I wanted to take some time to share why this was so important to me.
A 10 tweet
https://abs.twimg.com/emoji/v2/... draggable="false" alt="đ§”" title="Thread" aria-label="Emoji: Thread">on math, history, and math history.
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I wanted to take some time to share why this was so important to me.
A 10 tweet
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on math, history, and math history.(1/10)" title="Earlier this week, I had the opportunity to give a guest lecture in @ClaudioJacobo& #39;s math history course. I wanted to take some time to share why this was so important to me.A 10 tweethttps://abs.twimg.com/emoji/v2/... draggable="false" alt="đ§”" title="Thread" aria-label="Emoji: Thread">on math, history, and math history.(1/10)" class="img-responsive" style="max-width:100%;"/>
Claudio asked me to come talk about solving polynomials - if you know my mathematics, you know this is where I live.
We talked about:
-) Geometry and solutions of generic quadratic
-) Tschirnhaus transformations
-) Abel& #39;s theorem
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We talked about:
-) Geometry and solutions of generic quadratic
-) Tschirnhaus transformations
-) Abel& #39;s theorem
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But we also talked about how we can still solve generic polynomials of higher degree!
I started with the solutions of the quintic due to Bring and Klein and how you can derive them (and their relationship with one another) from the icosahedron and geometry.
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I started with the solutions of the quintic due to Bring and Klein and how you can derive them (and their relationship with one another) from the icosahedron and geometry.
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I gave a brief, informal introduction to essential dimension and resolvent degree (mostly so that if they were interested, they would know the key words to search later).
We then talked about Hilbert& #39;s conjectures and the (notably sparse!) literature....
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We then talked about Hilbert& #39;s conjectures and the (notably sparse!) literature....
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... which led to our discussion of history and how math does not operate independently of the rest of humanity.
Content warning: This is where we need to talk about Nazi mathematicians.
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Content warning: This is where we need to talk about Nazi mathematicians.
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A lot of work in this area was done / led by Klein and Hilbert and part of the tradition of research at Göttingen.
Large parts of this tradition were destroyed by Nazi mathematicians.
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Large parts of this tradition were destroyed by Nazi mathematicians.
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We talked about how there were a LOT of Nazi mathematicians.
This is a sample of just some Nazi mathematicians and mathematical terms named after them that the current mathematical community still uses.
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This is a sample of just some Nazi mathematicians and mathematical terms named after them that the current mathematical community still uses.
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Inspired by this thread ( https://twitter.com/ProfKinyon/status/1339434615623143424?s=20">https://twitter.com/ProfKinyo... ) of @ProfKinyon, we talked about how inaction against the status quo is decidedly an action.
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I told them that, at the end of the day, I don& #39;t really care about the time gap in the literature.
I do care about the lives that were destroyed.
And this is just one small snapshot of what was happening at the time.
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I do care about the lives that were destroyed.
And this is just one small snapshot of what was happening at the time.
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The students participated a lot and they asked great questions at the end, like "How did you learn about this stuff?" and "How do your math research and math history interact?"
Up-and-coming mathematicians deserve to know what our history looks like.
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Up-and-coming mathematicians deserve to know what our history looks like.
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P.S. The students were also excited about my research (not specifically featured in this thread) and asked me to share it with them when publicly available.
This meant a lot to me and I can& #39;t wait to share it with them! (I& #39;ll share it with you too, Twitter, but not now)
This meant a lot to me and I can& #39;t wait to share it with them! (I& #39;ll share it with you too, Twitter, but not now)
P.S.S. The handwriting style of my slides (which also got nice compliments!) was inspired by slides of @MarissaKawehi (although I am not claiming that mine look as good as hers)
