Recent Publications

Recent Publications of Dr. Lucas Mann

$\bullet $ Claudius Heyer and Lucas Mann. 6-functor formalisms and smooth representations. arXiv e-prints, October 2024. arXiv:2410.13038.

$\bullet $ Lucas Mann and Annette Werner. Local systems on diamonds and $p$-adic vector bundles. International Mathematics Research Notices, 2023(15):12785–12850, July 2023. doi:10.1093/imrn/rnac182.

$\bullet $ Lucas Mann. Normal and irreducible adic spaces, the openness of finite morphisms, and a Stein factorization. Nagoya Mathematical Journal, 250:498–510, June 2023. doi:10.1017/nmj.2022.40.

$\bullet $ Ben Heuer, Lucas Mann, and Annette Werner. The $p$-adic Corlette–Simpson correspondence for abeloids. Mathematische Annalen, 385(3):1639–1676, April 2023. doi:10.1007/s00208-022-02371-2.

$\bullet $ Lucas Mann. The 6-functor formalism for $\mathbb Z_\ell $ and $\mathbb Q_\ell $-sheaves on diamonds. arXiv e-prints, September 2022. arXiv:2209.08135.

$\bullet $ David Hansen and Lucas Mann. $p$-adic sheaves on classifying stacks, and the $p$-adic Jacquet-Langlands correspondence. arXiv e-prints, July 2022. arXiv:2207.04073.