Christian Klevdal
Contact: cklevdal [at] sandiego [dot] edu
Contact: cklevdal [at] sandiego [dot] edu
I received my PhD in 2021 from the University of Utah under the supervision of Stefan Patrikis. Since then, I have been a postdoc at UNIST (2021-2022), at UCSD (2022-2025) and at Johns Hopkins (2025-2026). In Fall 2026, I am a lecturer at University of San Diego and am on the academic job market.
My research is in arithmetic geometry, a mixture of 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.
Admissible pairs and p-adic Hodge structures III: Variation and unlikely intersections. w/ S. Howe. Preprint 2026. Submitted.
Compatibility of F-isocrystals on adjoint Shimura varieties w/ J. Huryn, K. Kedlaya, S. Patrikis. Preprint 2025. Submitted.
Admissible pairs and p-adic Hodge structures I: Transcendence of the de Rham lattice w/ S. Howe. Algebra and Number Theory, 2026. arXiv
Compatibility of canonical ℓ-adic local systems on Shimura varieties w/ S. Patrikis. Inventiones mathematicae, 2025. arXiv
Admissible pairs and p-adic Hodge structures II: The bi-analytic Ax-Lindemann theorem w/ S. Howe. Inventiones mathematicae, 2025.
Note: The theorem numberings in the published version differ from the theorem numbering in the arXiv version.
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
Arithmetic and Representation Theory (ART) Seminar, University of Minnesota, October 23.
Algebra and Number Theory Seminar, University of Arizona, November 24.
Joint IAS/PU Number Theory, Princeton University, December 3rd.
Dynamics, Equations and Applications 2027, Kraków, Poland, 28 June to 2 July 2027
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.