Dr. Ben Heuer
Mathematisches InstitutUniversität Bonn
Endenicher Allee 60
53115 Bonn
Room: 4.022
E-Mail: heuer"at"math.uni-bonn.de
Group: Arithmetische
Algebraische Geometrie
Research
I am a Postdoc in Peter Scholze's group at the University of Bonn. I am interested in arithmetic and algebraic geometry. My current projects are related to:- p-adic non-abelian Hodge theory
- perfectoid geometry
- p-adic automorphic forms
Teaching
In the summer term 22, I'm teaching a course on Rigid Analytic Geometry. The class is Wednesdays at 2pm in room 0.011. The course gives an introduction to non-archimedean geometry by discussing in detail Tate's rigid analytic spaces.
Thanks very much to Matthew Stevens for TeXing lecture notes and for letting me share them with you here! [They're "unofficial" notes as I can't guarantee that they represent exactly what was said in the lecture, so for exam preparation use at your own risk].
Publications and Preprints
- Moduli
spaces in \(p\)-adic non-abelian Hodge theory
Preprint 2022 [ arXiv ] - A
geometric \(p\)-adic Simpson correspondence in rank one
Preprint 2022 [ arXiv ] - \(G\)-torsors
on perfectoid spaces
Preprint 2022 [ arXiv ] - The
\(p\)-adic Corlette-Simpson correspondence for abeloids
with Lucas Mann, Annette Werner
To appear in Mathematische Annalen. [ arXiv ] - Pro-étale
uniformisation of abelian varieties
Preprint 2021. [ arXiv ] - Picard
groups of perfectoid covers: case of good reduction
Preprint 2021. [ arXiv ] - Diamantine
Picard functors of rigid spaces
Preprint 2021. [ arXiv ] - Line
bundles on rigid spaces in the v-topology
Forum Math. Sigma 2022. [ arXiv ] - Perfectoid
geometry of \(p\)-adic modular forms
PhD thesis 2019, London School of Geometry and Number Theory - Overconvergent Hilbert modular
forms via perfectoid modular varieties
with Christopher Birkbeck, Chris Williams
Preprint 2019, accepted at Ann. Inst. Fourier (Grenoble). [ arXiv ] -
Perfectoid covers of abelian varieties
with Clifford Blakestad, Damián Gvirtz, Daria Shchedrina, Koji Shimizu, Peter Wear, Zijian Yao
Preprint 2020, accepted at Math Research Letters. [ arXiv ] - Cusps
and \(q\)-expansion principles for modular curves at infinite
level
Preprint 2020, submitted. [ arXiv ] - Rigid \(\tau\)-crystals
Journal de Théorie des Nombres de Bordeaux 29(3):1059-1082, 2017.
Undergraduate papers
- All solutions to the immobilizer problem
with John Conway
Math. Intelligencer 36(4):78-86, 2014.
- Proof-reading guidance in cell tracking by
sampling tracking-by-assignment models
with Martin Schiegg, Carsten Haubold, Steffen Wolf, Ulrich Koethe, Fred A Hamprecht
In Biomedical Imaging (ISBI), 2015 IEEE 12th International Symposium
Last update: August 2022, Ben Heuer
Events