Research Interests

Research Interests

$\bullet$ Algebraic number theory.
$\bullet$ Arithmetic geometry.
$\bullet$ Representation theory.
$\bullet$ $p$-Adic analysis.

Selected Publications

Selected Publications of Peter Schneider

$\bullet$ P. Schneider. Smooth representations and Hecke modules in characteristic $p$. Pacific J. Math., 279:447–464, 2015.

$\bullet$ R. Ollivier and P. Schneider. Pro-$p$- Iwahori- Hecke algebras are Gorenstein. J. Inst. Math. Jussieu, 13:753–809, 2014.

$\bullet$ P. Schneider. $p$-adic Lie groups, volume 344 of Grundlehren der Mathematischen Wissenschaften [A Series of Comprehensive Studies in Mathematics]. Springer Berlin Heidelberg, 2011.

$\bullet$ C. Breuil and P. Schneider. First steps towards $p$-adic Langlands functoriality. J. Reine Angew. Math., 610:149–180, 2007.

$\bullet$ P. Schneider and J. Teitelbaum. Banach- Hecke algebras and $p$-adic Galois representations. Documenta Mathematica, The Book Series 4 (J. {Coates' Sixtieth Birthday)}, 4:631–684, 2006.

$\bullet$ P. Schneider and J. Teitelbaum. Algebras of $p$-adic distributions and admissible representations. Invent. Math., 153:145–196, 2003.

$\bullet$ P. Schneider and J. Teitelbaum. Locally analytic distributions and $p$-adic representation theory, with applications to $GL_2$. J. AMS, 15:443–468, 2002.

$\bullet$ P. Schneider and J. Teitelbaum. Banach space representations and Iwasawa theory. Israel J. Math., 127:359–380, 2002.

$\bullet$ P. Schneider and J. Teitelbaum. $p$-adic Fourier theory. Documenta math., 6:447–481, 2001.

$\bullet$ P. Schneider and U. Stuhler. Representation theory and sheaves on the Bruhat- Tits building. Publ. Math. IHES, 85:97–191, 1997.

Current Publications

$\bullet $ R. Ollivier and P. Schneider. The modular pro-$p$ Iwahori-Hecke Ext-algebra. In A. Aizenbud, D. Gourevitch, D. Kazhdan, and E. M. Lapid, editors, Representations of Reductive Groups, volume 101 of Proceedings of Symposia in Pure Mathematics, pages 255–308. Amer. Math. Soc., Providence, RI, 2019.