Research Interests
$\bullet$ Algebraic number theory.
$\bullet$ Arithmetic and algebraic geometry.
$\bullet$ Ergodic theory.
$\bullet$ Analysis on manifolds, foliations, dynamical systems.
$\bullet$ von Neumann algebras.
Recent Publications of Prof. Dr. Christopher Deninger
$\bullet $ Christopher Deninger, Theo Grundhöfer, and Linus Kramer. Weil tensors, strongly regular graphs, multiplicative characters, and a quadratic matrix equation. J. Algebra, 656:170–195, October 2024. doi:10.1016/j.jalgebra.2023.08.028.
$\bullet $ Christopher Deninger. Dynamical systems for arithmetic schemes. Indagationes Mathematicae, June 2024. doi:10.1016/j.indag.2024.05.007.
$\bullet $ Christopher Deninger and Michael Wibmer. On the proalgebraic fundamental group of topological spaces and amalgamated products of affine group schemes. arXiv e-prints, June 2023. arXiv:2306.03296.
$\bullet $ Christopher Deninger. Primes, knots and periodic orbits. arXiv e-prints, January 2023. arXiv:2301.11643.
$\bullet $ Christopher Deninger. There is no "Weil-"cohomology theory with real coefficients for arithmetic curves. arXiv e-prints, April 2022. arXiv:2204.02714.
$\bullet $ Christopher Deninger. A pro-algebraic fundamental group for topological spaces. arXiv e-prints, May 2020. arXiv:2005.13893.
$\bullet $ Christopher Deninger and Annette Werner. Parallel transport for vector bundles on $p$-adic varieties. J. Algebraic Geom., 29(1):1–52, January 2020. doi:10.1090/jag/747.
$\bullet $ Christopher Deninger. $p$-adic limits of renormalized logarithmic Euler characteristics. Groups Geom. Dyn., 14(2):427–467, January 2020. arXiv:1801.02412, doi:10.4171/GGD/550.
$\bullet $ Christopher Deninger and Anton Mellit. $\mathbb Z R$ and rings of Witt vectors $W_S(R)$. Rend. Semin. Mat. Univ. Padova, 142:93–102, June 2019. doi:10.4171/rsmup/32.