
Recent Posts
Categories
Blogroll
Recent Comments
Archives
 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
 Bourgeois Pig
 Chess
 Class Number Problem
 Coffee
 completed cohomology
 cricket
 Cris Poor
 CSO
 David Geraghty
 David Yuen
 Deligne
 Dick Gross
 Elsevier
 Fermat
 Fred Diamond
 Galois Representations
 Gauss
 George Boxer
 Glenn Gould
 Gowers
 Grothendieck
 Hilbert modular forms
 Ian Agol
 Intelligentsia
 Inverse Galois Problem
 Jack Thorne
 James Newton
 Jared Weinstein
 Joel Specter
 John Voight
 Jordan Ellenberg
 Ktheory
 Ken Ribet
 Kevin Buzzard
 Langlands
 Leopoldt Conjecture
 LMFDB
 Mark Kisin
 Matthew Emerton
 Michael Harris
 MO
 modular forms
 Modularity
 MSRI
 Music
 Nonsense
 Patrick Allen
 Peter Sarnak
 Peter Scholze
 Richard Moy
 RLT
 Robert Coleman
 Schoenberg
 Schubert
 Serre
 Shekar Khare
 Tate
 TaylorWiles
 The Hawk
 Toby Gee
 torsion
 Vlad Serban
 Vytas Paskunas
 Wintenberger
 Zagier
 Zili Huang
Meta
Tag Archives: David Geraghty
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
4 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
10 Comments
A nonliftable weight one form modulo p^2
I once idly asked RLT (around 2004ish) whether one could use BuzzardTaylor arguments to prove that any representation: which was unramified at p and residually irreducible (and modular) was itself modular (in the Katz sense). Galois representations of this flavour … Continue reading
Artin NoGo Lemma
The problem of constructing Galois representations associated to Maass forms with eigenvalue 1/4 is, by now, a fairly notorious problem. The only known strategy, first explained by Carayol, is to first transfer the representation to a unitary group over an … Continue reading
Posted in Mathematics
Tagged Akshay Venkatesh, Artin Conjecture, Carayol, David Geraghty, GriffithsSchmidt Variety, l_0, Matthew Emerton, Notation
Leave a comment
Hilbert Modular Forms of Partial Weight One, Part III
My student Richard Moy is graduating! Richard’s work has already appeared on this blog before, where we discussed his joint work with Joel Specter showing that there existed nonCM Hilbert modular forms of partial weight one. Today I want to … Continue reading