-
Recent Posts
Recent Comments
- Harald on A Brief Digest of Some New OpenAI Results
- Persiflage on A Brief Digest of Some New OpenAI Results
- Thomas on A Brief Digest of Some New OpenAI Results
- A new system of accreditation – Proofs and Prompts on Ways to improve Mathematics (an introduction)
- Alex Ashburn on A Brief Digest of Some New OpenAI Results
Blogroll
Categories
Tags
- AI
- Akshay Venkatesh
- Ana Caraiani
- Andrew Wiles
- Bach
- Bao Le Hung
- Barry Mazur
- ChatGPT
- Class Field Theory
- Coffee
- completed cohomology
- David Geraghty
- David Helm
- Dick Gross
- Galois Representations
- Gauss
- Gaëtan Chenevier
- George Boxer
- Gowers
- Grothendieck
- Hilbert modular forms
- Inverse Galois Problem
- Jack Thorne
- James Newton
- Joel Specter
- John Voight
- Jordan Ellenberg
- Ken Ribet
- Kevin Buzzard
- Langlands
- Mark Kisin
- Matthew Emerton
- Michael Harris
- Patrick Allen
- Peter Scholze
- Richard Moy
- Richard Taylor
- RLT
- Robert Coleman
- Ruochuan Liu
- Serre
- Toby Gee
- torsion
- Vesselin Dimitrov
- Vincent Pilloni
Archives
- November 2026 (1)
- October 2026 (6)
- September 2026 (9)
- August 2026 (6)
- July 2026 (1)
- June 2026 (1)
- May 2026 (2)
- January 2026 (1)
- June 2025 (1)
- April 2025 (1)
- March 2025 (2)
- January 2025 (1)
- December 2024 (2)
- November 2024 (1)
- October 2024 (1)
- September 2024 (2)
- August 2024 (1)
- July 2024 (2)
- June 2024 (2)
- May 2024 (1)
- February 2024 (1)
- October 2023 (2)
- September 2023 (2)
- June 2023 (2)
- May 2023 (2)
- April 2023 (1)
- March 2023 (1)
- February 2023 (4)
- November 2022 (2)
- July 2022 (2)
- June 2022 (2)
- April 2022 (3)
- March 2022 (1)
- February 2022 (1)
- January 2022 (1)
- December 2021 (1)
- November 2021 (1)
- August 2021 (2)
- June 2021 (1)
- April 2021 (2)
- March 2021 (2)
- February 2021 (2)
- November 2020 (2)
- October 2020 (3)
- June 2020 (2)
- May 2020 (2)
- April 2020 (5)
- March 2020 (8)
- February 2020 (2)
- January 2020 (3)
- December 2019 (2)
- November 2019 (1)
- October 2019 (4)
- September 2019 (4)
- August 2019 (3)
- July 2019 (2)
- June 2019 (2)
- May 2019 (1)
- April 2019 (2)
- March 2019 (3)
- February 2019 (1)
- January 2019 (5)
- December 2018 (3)
- November 2018 (2)
- October 2018 (3)
- September 2018 (1)
- August 2018 (2)
- July 2018 (1)
- June 2018 (3)
- May 2018 (2)
- April 2018 (2)
- March 2018 (1)
- February 2018 (2)
- January 2018 (3)
- December 2017 (2)
- November 2017 (3)
- October 2017 (4)
- September 2017 (2)
- August 2017 (1)
- July 2017 (2)
- June 2017 (4)
- May 2017 (1)
- April 2017 (3)
- March 2017 (5)
- February 2017 (2)
- January 2017 (2)
- December 2016 (3)
- November 2016 (2)
- October 2016 (3)
- August 2016 (1)
- June 2016 (1)
- May 2016 (3)
- April 2016 (1)
- March 2016 (4)
- October 2015 (1)
- September 2015 (1)
- August 2015 (1)
- July 2015 (1)
- June 2015 (3)
- May 2015 (3)
- April 2015 (2)
- March 2015 (3)
- February 2015 (1)
- January 2015 (5)
- December 2014 (2)
- November 2014 (2)
- October 2014 (2)
- September 2014 (6)
- August 2014 (7)
- July 2014 (5)
- June 2014 (3)
- May 2014 (5)
- April 2014 (3)
- March 2014 (3)
- February 2014 (2)
- January 2014 (2)
- December 2013 (1)
- November 2013 (2)
- October 2013 (5)
- September 2013 (3)
- August 2013 (2)
- July 2013 (3)
- June 2013 (7)
- May 2013 (9)
- April 2013 (5)
- March 2013 (3)
- February 2013 (2)
- January 2013 (6)
- December 2012 (6)
- November 2012 (4)
- October 2012 (11)
Meta
Tag Archives: Artin Conjecture
A Brief Digest of Some New OpenAI Results
I thought it might be worth discussing some of the recent OpenAI results in my field, or at least in algebraic number theory. For each of them, I’d like to offer a few thoughts, if I have any, on what … Continue reading
Posted in Mathematics, Uncategorized
Tagged AI, Ana Caraiani, Artin Conjecture, BSD, Catalan's Constant, Fontaine-Mazur Conjecture, GRH, Hardy, Hilbert's 10th problem, Hooley, Irrationality, James Newton, OpenAI, Ramanujan Conjecture, Rankin, Rankin-Selberg, Riemann Hypothesis, Roth's Theorem
18 Comments
Irregular Lifts, Part II
This is the global counterpart to the last post. I was going to write this post in a more general setting, but the annoyances of general reductive groups got the better of me. Suppose we fix the following: A number … Continue reading
Posted in Uncategorized
Tagged Artin Conjecture, Galois Representations, Hodge-Tate, lifting, On the record
Leave a comment
Artin No-Go 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, Griffiths-Schmid Variety, l_0, Matthew Emerton, Notation
Leave a comment