### About this blog

Rigorous trivialities is a web log about mathematics, but especially geometry, broadly construed. Contributors will be Charles Siegel, Jim Stankewicz and occasionally Matt Deland. Charles specializes in algebraic geometry, topology and mathematical physics. Jim specializes in arithmetic algebraic geometry. Matt has transitioned from algebraic geometry to work in industry.

Header is taken from the larger work by fdecomite under the creative commons license.

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# Category Archives: Talks

## Shih’s Theorem

Dear Readers, In spite of orals closing in a little more every day, I clearly haven’t been updating so much recently. I’d started a post about using Minkowski’s geometry of numbers to think about class numbers and unit groups and … Continue reading

Posted in Curves, Talks, Uncategorized
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## Quaternion Algebras and Modular Forms

Dear readers, I know I promised a post on modular curves, but I had to devote more time to my end of semester project. Since it’s strongly related to the topic of modular curves and I present on it tomorrow, … Continue reading

Posted in Talks
4 Comments

## The Clemens Conjecture

This is a draft of a talk I’m giving on Thursday, mostly going over the work of Katz in this paper. Let’s begin with an informal statement of the conjecture: Conjecture: For every positive integer , a general quintic hypersurface … Continue reading

## Invariants of Finite Groups II

Ok, here’s my second talk. This one went a bit heavier on the technical stuff, and is mostly out of Geometric Invariant Theory by Mumford and Fogarty (I have access to the second edition). At some point in my Algebraic … Continue reading

Posted in Algebraic Geometry, Talks
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## Invariants of Finite Groups I

Here are my lecture notes for a talk I gave yesterday on invariants of finite groups in the graduate student algebra seminar here. Next week I’m talking about quotients of varieties by finite groups, and I’ll post those here as … Continue reading

Posted in Algebraic Geometry, Talks
3 Comments