I am a member of the algebraic geometry
group, and I study the geometry and topology of complex algebraic
varieties. My research focuses on Hodge theory, and on applications of mixed
Hodge modules in algebraic geometry.
Fall 2025 Teaching
This semester, I am teaching MAT 534 (Algebra I)
and MAT 132 (Calculus II).
Mailing Address
Department of Mathematics
Stony Brook University
Stony Brook, NY 11794-3651
Contact Information
Office: Math Tower 4–110 (map)
Phone: (631) 632-8618
E-Mail: cschnell@math.stonybrook.edu
Mathematical Events
Graduate students who plan to attend the 2025 Summer Research Institute in
Algebraic Geometry should apply to the Graduate Student Bootcamp as well. The
application deadline for lodging and financial support is January 31,
2025.
Upcoming Events
Past Events
Papers and Preprints
Click on the title of any paper to download a PDF file.
Preprints
Published Papers
Singular hermitian metrics and the decomposition theorem of Catanese, Fujita, and Kawamata
Proc. Amer. Math. Soc. 152 (2024), no. 1, 137–146 [with L. Lombardi]
On the behavior of Kodaira dimension under smooth morphisms
Algebr. Geom. 10 (2023), no. 5, 607–619 [with M. Popa]
Singular metrics and a conjecture by Campana and Peternell
Pure Appl. Math. Q. 21 (2025), no. 3, 1269–1281
Finiteness for self-dual classes in integral variations of Hodge structure
Épijournal de Géométrie Algébrique, Special volume in honour of C. Voisin, Article no. 1 (2023) [with B. Bakker, Th. Grimm and J. Tsimerman]
Correction to "Height bounds and the Siegel property"
Algebra Number Theory 17 (2023), no. 6, 1231–1237 [with M. Orr]
The boundary behavior of cohomology classes and singularities of normal functions
[Ohio State University, 2008]
Lecture Notes
Mixed Hodge modules
Claude Sabbah and I are adapting Saito's theory of mixed Hodge modules to the case of complex coefficients. A collection of notes (in progress) can be found on Claude's website.