Category Archives: Mathematics

En Passant VI

I just learnt (from a comment on this blog) that Pierre Colmez hosts a wonderful page on Fontaine and Wintenberger here. I particularly recommend reading both the personal recollections of their friends and collaborators (sample quote from Mark: These \(p\)-adic … Continue reading

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Appropriate Citations

Once I wrote a paper (two, in fact) on even Galois representations. The second paper in particular proved what I thought was a fairly definitive result ruling out the existence of a wide class of even de Rham representations with … Continue reading

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A homework exercise for Oaxaca

Here’s a homework problem for those coming to Oaxaca who have a facility for working with Breuil-Kisin modules and finite flat group schemes. Let \(\mathbf{F}\) be a finite field of characteristic \(p\), and consider a Galois representation: \(\rho: G_{\mathbf{Q}_p} \rightarrow … Continue reading

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Read my NSF proposal

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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I asked… and you responded!

I often ask mathematical questions on this blog that I don’t know how to answer. Sometimes my smart readers are able to answer the questions I ask. Surely they deserve some recognition for this? Here are two such occasions which … Continue reading

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Hausdorff Trimester Summer School, May 11-15, 2020

This post is to encourage both PhD students and any junior researchers who are interested to consider applying to a summer school on the arithmetic of the Langlands Program. (Some financial support will be available.) This is the first event … Continue reading

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NSF Application Tips: LaTeX edition

I’ve previously written about applying for an NSF grant here. But for those applying this year, I have a few further technical tips concerning the technical specifications of your LaTeX document. If you are the type of person who uploads … Continue reading

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Arbeitsgemeinschaft 2020

The April 2020 Oberwolfach Arbeitsgemeinschaft will be on derived Galois deformation rings and the cohomology of arithmetic groups! For those who don’t know, the Arbeitsgemeinschaft (“study group”) is different from usual Oberwolfach workshops (or workshops more generally) — the idea … Continue reading

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Mathematische Zeitschrift (Part II: for authors)

In this post, I give some tips for authors considering submitting to Math Zeitschrift, especially a paper in algebraic number theory. The first suggestion is to read Part I. This should give you a good sense of the standards required. … Continue reading

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Mathematische Zeitschrift (Part I: for reviewers)

I am an associate editor for Math Zeitschrift. I thought that here could be a good place to record a few useful comments that I often pass on to reviewers. It is my intention for future referee requests to include … Continue reading

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