Christian Klevdal
Christian Klevdal
J.J. Sylvester Assistant Professor
at Johns Hopkins University
Contact: cklevda1 [at] jhu [dot] edu
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Research
Research
My research is in number theory and algebraic geometry. I am interested in linear algebraic structures arising in the cohomology of algebraic varieties over local and global fields. Typical examples are Galois representations, Hodge structures, isocrystals and structures in p-adic Hodge theory. I am particularly interested in how these vary in families, which has led me to study local and global Shimura varieties.
Papers
Papers
Admissible pairs and p-adic Hodge structures III: Variation and unlikely intersections. w/ S. Howe. (In preparation)
Compatibility of F-isocrystals on adjoint Shimura varieties w/ J. Huryn, K. Kedlaya, S. Patrikis. Preprint 2025. Submitted.
Compatibility of canonical ℓ-adic local systems on Shimura varieties w/ S. Patrikis. Inventiones mathematicae, 2025. arXiv
Admissible pairs and p-adic Hodge structures I: Transcendence of the de Rham lattice w/ S. Howe. Preprint 2023. To appear in Algebra and Number Theory.
Admissible pairs and p-adic Hodge structures II: The bi-analytic Ax-Lindemann theorem w/ S. Howe. Preprint 2023. Submitted.
G-cohomologically rigid local systems are integral w/ S. Patrikis. Transactions of the AMS, 2022. arXiv
Recognizing Galois representations of K3 surfaces. Research in Number Theory, 2019. arXiv
Other Activities
AWM - UCSD
2022 - 2024. I was an officer of the chapter of AWM at UCSD.
AWM-RTG Conference
In Summer 2021, I was a co-organizer for the conference BRIDGES.
Latinos in Action (LIA)
From 2016-2019, I was an academic cochair for the University of Utah chapter for Latinos in Action.
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