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 | Leave a comment

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

Posted in Algebraic Geometry, Curves, Enumerative Geometry, Hilbert Scheme, Intersection Theory, Talks | Leave a comment

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

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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