
Recent Posts
Categories
Blogroll
Recent Comments
Archives
 July 2018
 June 2018
 May 2018
 April 2018
 March 2018
 February 2018
 January 2018
 December 2017
 November 2017
 October 2017
 September 2017
 August 2017
 July 2017
 June 2017
 May 2017
 April 2017
 March 2017
 February 2017
 January 2017
 December 2016
 November 2016
 October 2016
 August 2016
 June 2016
 May 2016
 April 2016
 March 2016
 October 2015
 September 2015
 August 2015
 July 2015
 June 2015
 May 2015
 April 2015
 March 2015
 February 2015
 January 2015
 December 2014
 November 2014
 October 2014
 September 2014
 August 2014
 July 2014
 June 2014
 May 2014
 April 2014
 March 2014
 February 2014
 January 2014
 December 2013
 November 2013
 October 2013
 September 2013
 August 2013
 July 2013
 June 2013
 May 2013
 April 2013
 March 2013
 February 2013
 January 2013
 December 2012
 November 2012
 October 2012
 Akshay Venkatesh
 Ana Caraiani
 Andrew Wiles
 Bach
 Bao Le Hung
 Barry Mazur
 Beethoven
 Borel
 Chess
 Class Number Problem
 Coffee
 completed cohomology
 cricket
 Cris Poor
 David Geraghty
 David Helm
 David Yuen
 Deligne
 Dick Gross
 Galois Representations
 Gauss
 George Boxer
 Glenn Gould
 Gowers
 Grothendieck
 Hilbert modular forms
 Ian Agol
 Inverse Galois Problem
 Jack Thorne
 James Newton
 Jared Weinstein
 Joel Specter
 John Voight
 Jordan Ellenberg
 Ktheory
 KaiWen Lan
 Ken Ribet
 Kevin Buzzard
 Langlands
 Laurent Clozel
 Leopoldt Conjecture
 LMFDB
 Mark Kisin
 Matthew Emerton
 Michael Harris
 MO
 modular forms
 Modularity
 MSRI
 Music
 Nonsense
 Patrick Allen
 Perfectoid Spaces
 Peter Sarnak
 Peter Scholze
 Richard Moy
 RLT
 Robert Coleman
 SatoTate
 Schoenberg
 Schubert
 Serre
 Shekar Khare
 Tate
 TaylorWiles
 The Hawk
 Toby Gee
 torsion
 University of Chicago
 Vincent Pilloni
 Vlad Serban
 Vytas Paskunas
 Wintenberger
 Zagier
 Zili Huang
Meta
Category Archives: Mathematics
Update on SatoTate for abelian surfaces
Various people have asked me for an update on the status of the SatoTate conjecture for abelian surfaces in light of recent advances in modularity lifting theorems. My student Noah Taylor has exactly been undertaking this task, and this post … Continue reading
Posted in Mathematics
Tagged Ana Caraiani, Andrew Sutherland, Andrew Wiles, Bao Le Hung, Christian Johansson, David Helm, Francesc Fité, Freydoon Shahidi, George Boxer, Henry Kim, Jack Thorne, James Newton, Kiran Kedlaya, Laurent Clozel, Michael Harris, Nick Katz, Noah Taylor, Patrick Allen, Peter Scholze, Potential Modularity, Richard Taylor, SatoTate, Serre, Toby Gee, Victor Rotger, Vincent Pilloni
Leave a comment
Upcoming Attractions
There’s a packed schedule for graduate classes at Chicago next Fall: Ngô Bảo Châu on automorphic forms (TueTh 11:0012:30), Akhil Mathew on perfectoid spaces (MWF 12:301:30), and George Boxer and me on (higher) Hida theory (MW 1:303:00). Strap yourself in! … Continue reading
Posted in Mathematics
Tagged Akhil Mathew, Ana Caraiani, Bonn, George Boxer, Hausdorff Institute, Hida Theory, Laurent Fargues, Ngô Bảo Châu, Perfectoid Spaces, Peter Scholze
1 Comment
Nobody Cares About Your Paper
I handle quite a few papers (though far fewer than other editors I know) as an associate editor at Mathematische Zeitschrift. Since the acceptance rate at Math Zeit is something in the neighbourhood of 20%, there are certainly good papers … Continue reading
Chicago Seminar Roundup
Here are two questions I had about the past two number theory seminars. I haven’t had the opportunity to think about either of them seriously, so they may be easy (or more likely stupid). Anthony VárillyAlvarado: Honestly, I’ve never quite … Continue reading
Posted in Mathematics
Tagged ABC, Adam Levine, Anthony VárillyAlvarado, Benjamin Bakker, Faltings, Hindry, Ilya Khayutin, Mr T, Ronen Mukamel, Szpiro, Szpiro's Conjecture, University of Chicago, Vojta
2 Comments
The boundaries of SatoTate, part I
A caveat: the following questions are so obvious that they have surely been asked elsewhere, and possibly given much more convincing answers. References welcome! The SatoTate conjecture implies that the normalized trace of Frobenius for a nonCM elliptic curve is … Continue reading
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