Author Archives: Persiflage

A talk on my new work with Vesselin Dimitrov and Yunqing Tang on irrationality

Here is a video of my talk from the recent 70th birthday conference of Peter Sarnak. During a talk one always forgets to say certain things, so I realized that my blog could be a good place to give some … Continue reading

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Zeilberger + ChatGPT

Since I don’t have maple, I can’t play with the following code: https://sites.math.rutgers.edu/~zeilberg/tokhniot/MultiAlmkvistZeilberger.txt But is ChatGPT now good enough to re-write this in either pari/gp or magma (or Mathematica). I’m not sure how realistic this might be (without some serious … Continue reading

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Unramified Fontaine-Mazur for representations coming from abelian varieties

Mark Kisin gave a talk at the number theory seminar last week where the following problem arose: Let W be the Galois representation associated to the Tate module of an abelian variety A over a number field, and suppose that … Continue reading

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Midlife crisis

Plein Air is certainly the best cafe in Hyde Park. (Arguably Build Coffee is fine as well, but they are only open about 5 hours a week.) But it is also true to say that Plein Air is (at best) … Continue reading

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The horizontal Breuil-Mezard conjecture

Postdoc hiring season will be upon us soon! I have two excellent graduate students who will be applying for academic jobs soon, Chengyang Bao and Andreea Iorga. I have mentioned Chengyang’s first project before here and an introduction to the … Continue reading

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Magma Instability

I had occasion to return to some magma scripts I wrote in 2012. I the script used a number of pre-computed auxiliary files with computations, and was a little complicated, but didn’t use anything particularly complicated. So I was really … Continue reading

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Clozel 70, Part II

Many years ago, Khare asked me (as I think he asked many others at the time) whether I believed their existed an irreducible motive M over \mathbf{Z} (so good reduction everywhere) with Hodge-Tate weights [0,1,2,\ldots,n-1] for any n > 1. … Continue reading

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Clozel 70, Part I

I recently returned home from a trip to Paris for Clozel’s 70th birthday conference. Naturally I stayed in an airbnb downtown, and the RER B gods smiled on me with a hassle free commute for the entire week. Tekés was … Continue reading

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Kouign-Amann, Chicago Tasting

A free morning on the north side this week meant a chance for a bike ride and a new cafe; nothing out of the ordinary. But this time I prepared an itinerary to hit up some of the most highly … Continue reading

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Haebler and Gilberto

Two obituaries in the NYT within one week for musicians in my music collection. I can’t quite say that Mozart is my composer of choice, especially when it comes to the piano, although I could listen to Mitsuko Uchida play … Continue reading

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