Timo Keller’s blog
Research announcements and expository entries · Atom feed
I am a mathematician working in number theory and arithmetic
geometry. On this blog I announce my research, usually with a short,
non-technical Why this matters summary, write occasional
introductory entries for a general audience (marked as such in their
titles), and report from conferences and research visits. My homepage is
timo-keller.de .
July
24, 2026: Harmonizing Bach chorales with a Transformer (a
machine-learning side project)
July
4, 2026: How many point counts determine an abelian variety?
July
5, 2025: Rational points on
X 0 ( N ) * X_0(N)^*
when
N N
is non-squarefree
November
13, 2024: Inverse Galois theory for 17T7 over the rationals
November
12, 2024:
p p -converse
theorems for odd Eisenstein primes of potentially good ordinary
reduction
May
13, 2024: The (strong) Birch–Swinnerton-Dyer conjecture: an informal
introduction (for a general audience)
May
13, 2024: Congruent numbers, elliptic curves, the Birch–Swinnerton-Dyer
rank conjecture, and applications (for a general audience)
May 13, 2024:
The Birch–Swinnerton-Dyer conjecture
February
26, 2024: Article on the anticyclotomic Iwasawa theory of newforms at
Eisenstein primes of semistable reduction
December
24, 2023: Article on the verification of strong BSD for many modular
abelian surfaces over
𝐐 \mathbf{Q}
December
24, 2023: Introduction to arithmetic geometry: plane quadrics (for a
general audience)
May 14,
2023: New preprint on quadratic points on
X 0 ( N ) X_0(N)
February 13, 2023: Two
articles accepted
August 26,
2022: My quadratic Chabauty conference
August 12, 2022: Last day of
ANTS
July 30, 2022: First blog
entry, PCMI