Tag Archives: Hansheng Diao

The eigencurve is (still) proper

Posted on October 23, 2020 by Persiflage

Although I don’t think about it so much anymore, the eigencurve of Coleman-Mazur was certainly one of my first loves. I can’t quite say I learnt about \(p\)-adic modular forms at my mother’s knee, but I did spend a formative … Continue reading →

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Read my NSF proposal

Posted on October 9, 2019 by Persiflage

Since this is NSF season, I took the opportunity to go back and look at some of my old proposals. I am definitely too shy to put my *most recent* proposal online, but I thought it might be interesting to … Continue reading →

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Chenevier on the Eigencurve

Posted on April 24, 2015 by Persiflage

Today I wanted to mention a theorem of Chenever about components of the Eigencurve. Let \(\mathcal{W}\) denote weight space (which is basically a union of discs), and let \(\pi: \mathcal{E} \rightarrow \mathcal{W}\) be the Coleman-Mazur eigencurve together with its natural … Continue reading →

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Review of Buzzard-Gee

Posted on March 3, 2015 by Persiflage

This is a review of the paper “Slopes of Modular Forms” submitted for publication in a Simons symposium proceedings volume. tl;dr: This paper is a nice survey article on questions concerning the slopes of modular forms. Buzzard has given a … Continue reading →

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