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Category Archives: Mathematics
The paramodular conjecture is false for trivial reasons
(This is part of a series of occasional posts discussing results and observations in my joint paper with Boxer, Gee, and Pilloni mentioned here.) Brumer and Kramer made a conjecture positing a bijection between isogeny classes of abelian surfaces over … Continue reading
Hiring Season
Lizard 1: Wait, explain again why we bury our young in the sand and thereby place them into mortal peril? Lizard 2: So they develop character! If it was good enough for me, it’s good enough for them. (Feel free … Continue reading
Posted in Mathematics, Politics, Rant, Travel
Tagged Galapagos Islands, Hiring Season, Lizards, Mortal Peril, Planet Earth, Snakes
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Abandonware
For a young mathematician, there is a lot of pressure to publish (or perish). The role of forprofit academic publishing is to publish large amounts of crappy mathematics papers, make a lot of money, but at least in return grant … Continue reading
Posted in Mathematics
Tagged Abandonware, Akshay Venkatesh, Andrew Odlyzko, Bernard Woolley, David Geraghty, Dick Gross, Discriminant Bounds, Galois Representations, Imaginary Quadratic Fields, JacquetLanglands, John Voight, Lassina Dembélé, Matthew Greenberg, Peter Sarnak, Publishing, TaylorWiles, Under The Cosh, Yes Minister
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The ABC conjecture has (still) not been proved
The ABC conjecture has (still) not been proved. Five years ago, Cathy O’Neil laid out a perfectly cogent case for why the (at that point recent) claims by Shinichi Mochizuki should not (yet) be regarded as constituting a proof of … Continue reading
Graduation Day
This last summer, I undertook my last official activity as a faculty member at Northwestern University, namely, graduation day! (I had a 0% courtesy appointment for two years until my last Northwestern students graduated.) Here I am with four of … Continue reading