12
Fachbereich
Institut für Mathematik
12
Fachbereich
Institut für Mathematik
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Fachbereich Informatik und Mathematik
Institut für Mathematik
Schwerpunkte
Algebra und Geometrie
MitarbeiterInnen
Jonathan Miles
Jon Miles
I am a PhD student under the supervision of
Katharina Hübner
. I am interested in geometric aspects of the Langlands program, p-adic Hodge theory, and motivic homotopy theory.
Teaching
WS-2026/2027
:
Blockseminar on p-divisible groups
.
Preprints
Nov. 2025
:
Gluing sheaves along Harder-Narasimhan strata of Bun_G.
Coorganized seminars
Feb. 2027
:
Master's seminar on p-divisible groups
(with
Katharina Hübner
)
Jan. 2025:
Blockseminar on A_inf cohomology
(with
Lucas Gerth
and
Amine Koubaa
)
WS-2023/2024:
GAUS-AG on
Rigid analytic motives
(with
Rizacan Ciloglu
,
Lucas Gerth
, and
Timo Richarz
)
Invited research talks
Feb. 2024:
(TU-Darmstadt
seminar on arithmetic geometry
)
Gluing sheaves along Harder-Narasimhan strata of Bun_2
May 2023:
(GU-Frankfurt
seminar on non-archimedean geometry
)
Gluing sheaves along Harder-Narasimhan strata of Bun_2
GAUS-AG seminar talks given
Jul. 2026:
An algorithm for syntomic cohomology.
The K-theory of Z / p^n
, talk 11.
Jan. 2026:
Animation II.
Higher algebra
, talk 10.
Dec. 2025:
Hodge-Tate sequence for relative Picard varieties.
p-adic Simpson correspondence
, talk 8.
Jun. 2025:
The Kazhdan-Lusztig classification.
Categorical Deligne-Langlands correspondence
, talk 8.
May 2025:
The arc-topology.
Berkovich motives
, talk 4.
Feb. 2025:
Cohomology of Bun_n.
Vector bundles on curves
, talk 12.
Oct. 2024:
Galois cohomology and the Hodge-Tate decomposition.
Mochizuki's proof of the Hom conjecture
, talk 2.
Jun. 2024:
Artin motives and H^1.
Universality of the Galois action on the fundamental group of P^1 — {0,1,infinity}
, talk 6.
May 2024:
The moduli stack of formal groups.
Chromatic homotopy theory
, talk 6.
Feb. 2024:
The Hyodo-Kato cohomology.
Rigid analytic motives
, talk 13.
Nov. 2023:
The étale fundamental gerbe.
Applications of the étale fundamental gerbe in anabelian geometry
, talk 3.
