
Recent Posts
Categories
Blogroll
Recent Comments
Archives
 July 2019
 June 2019
 May 2019
 April 2019
 March 2019
 February 2019
 January 2019
 December 2018
 November 2018
 October 2018
 September 2018
 August 2018
 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
 andras schiff
 Andrew Wiles
 Bach
 Bao Le Hung
 Barry Mazur
 Beethoven
 Borel
 Chess
 Class Number Problem
 Coffee
 completed cohomology
 cricket
 David Geraghty
 David Helm
 David Yuen
 Deligne
 Dick Gross
 Elsevier
 Galois Representations
 Gauss
 George Boxer
 Glenn Gould
 Gowers
 Grothendieck
 Harvard
 Hilbert modular forms
 Ian Agol
 Inverse Galois Problem
 Jack Thorne
 Jacob Lurie
 James Newton
 Jared Weinstein
 Joel Specter
 John Voight
 Jordan Ellenberg
 Ktheory
 KaiWen Lan
 Ken Ribet
 Kevin Buzzard
 Langlands
 Lassina Dembélé
 Laurent Fargues
 Leopoldt Conjecture
 Liang Xiao
 LMFDB
 Mark Kisin
 Matthew Emerton
 Michael Harris
 MO
 modular forms
 Modularity
 MSRI
 Nathan Dunfield
 Patrick Allen
 Perfectoid Spaces
 Peter Scholze
 Richard Moy
 Richard Taylor
 RLT
 Robert Coleman
 Ruochuan Liu
 Schubert
 Serre
 TaylorWiles
 The Hawk
 Toby Gee
 torsion
 Vincent Pilloni
 Vlad Serban
 William Stein
 Wintenberger
 Zagier
 Zili Huang
Meta
Tag Archives: Andrew Wiles
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
2 Comments
New Results In Modularity, Part I
I usually refrain from talking directly about my papers, and this reticence stems from wishing to avoid any appearance of tooting my own horn. On the other hand, nobody else seems to be talking about them either. Moreover, I have … Continue reading
Posted in Mathematics
Tagged Ana Caraiani, Andrew Wiles, Bao Le Hung, Blasius, David Geraghty, David Helm, Deligne, Don Blasius, Functoriality, Gowers, Jack Thorne, James Newton, Langlands, Laurent Clozel, Michael Harris, Modularity, Nuno Freitas, Patrick Allen, Peter Scholze, Port, Ramanujan, Reciprocity, RLT, Samir Siksek, Serre, The Triangle, Toby Gee
12 Comments
There are no unramified abelian extensions of Q (almost)
In my class on modularity, I decided to explain what Wiles’ argument (in the minimal case) would look like for . There are two ways one can go with this. On the one hand, one can try to prove (say) … Continue reading