Research Interests
$\bullet$ Arithmetic algebraic geometry, in particular the Langlands programme.
$\bullet$ $p$-adic Hodge theory and $p$-adic Galois representations.
$\bullet$ Automorphy of Galois representations.
$\bullet$ $p$-adic aspects of the theory of automorphic forms.
• Breuil, Christophe; Hellmann, Eugen; Schraen, Benjamin Smoothness and classicality on eigenvarieties. Inventiones Mathematicae Vol. 209, 2017 online
• Breuil, Christophe; Hellmann, Eugen; Schraen, Benjamin Une interprétation modulaire de la variété trianguline. Mathematische Annalen Vol. 367, 2016 online
• Breuil, Christophe; Hellmann, Eugen; Schraen, Benjamin A local model for the trianguline variety and applications. Publications Mathématiques de L'IHÉS Vol. 130, 2019 online
• Hellmann, Eugen; Hartl, Urs The universal family of semi-stable p-adic Galois representations. Algebra and Number Theory Vol. 14 (5), 2020 online
• Hellmann, Eugen Connectedness of Kisin varieties for GL2. Advances in Mathematics Vol. 228 (1), 2011 online
• Hellmann, Eugen On families of weakly admissible filtered φ-modules and the adjoint quotient of GLd. Documenta Mathematica Vol. 16, 2011 online
• Hellmann, Eugen Families of p-adic Galois representations and (ϕ,Γ)-modules. Commentarii Mathematici Helvetici Vol. 91 (4), 2016 online
• Hellmann, Eugen On the derived category of the Iwahori-Hecke algebra. Compositio Mathematica Vol. 159 (5), 2023 online
• Hellmann, Eugen; Margerin, Christophe M.; Schraen, Benjamin Density of automorphic points in deformation rings of polarized global Galois representations. Duke Mathematical Journal Vol. 171 (13), 2022 online
• Hellmann, Eugen; Schraen, Benjamin Density of potentially crystalline representations of fixed weight. Compositio Mathematica Vol. 152 (8), 2016 online
Recent Publications of Prof. Dr. Eugen Hellmann
$\bullet $ Eugen Hellmann, Valentin Hernandez, and Benjamin Schraen. Patching and multiplicities of p-adic eigenforms. arXiv e-prints, June 2024. arXiv:2406.01129.
$\bullet $ Eugen Hellmann. On the derived category of the Iwahori–Hecke algebra. Compositio Mathematica, 159(5):1042–1110, May 2023. doi:10.1112/S0010437X23007145.
$\bullet $ Matthew Emerton, Toby Gee, and Eugen Hellmann. An introduction to the categorical $p$-adic Langlands program. arXiv e-prints, October 2022. arXiv:2210.01404.
$\bullet $ Eugen Hellmann, Christophe M. Margerin, and Benjamin Schraen. Density of automorphic points in deformation rings of polarized global Galois representations. Duke Math. J., 171(13):2699–2752, January 2022. doi:10.1215/00127094-2021-0080.
$\bullet $ Urs Hartl and Eugen Hellmann. The universal family of semistable $p$-adic Galois representations. Algebra Number Theory, 14(5):1055–1121, July 2020. doi:10.2140/ant.2020.14.1055.
$\bullet $ Christophe Breuil, Eugen Hellmann, and Benjamin Schraen. A local model for the trianguline variety and applications. Publ. Math. IHES, 130(1):299–412, August 2019. doi:10.1007/s10240-019-00111-y.