Mathematical Institute of the University of Bonn

Papers/Preprints

• Relative Perversity (with David Hansen), Preprint, 2021.
• Prismatic F-crystals and crystalline Galois representations (with Bhargav Bhatt), Preprint, 2021.
• Geometrization of the local Langlands correspondence (with Laurent Fargues), Preprint, 2021.
• Purity for flat cohomology (with Kestutis Cesnavicius), Preprint, 2019.
• On the generic part of the cohomology of non-compact unitary Shimura varieties (with Ana Caraiani), Preprint, 2019.
• Prisms and prismatic cohomology (with Bhargav Bhatt), Preprint, 2019.
• Potential Automorphy over CM fields (with Patrick Allen, Frank Calegari, Ana Caraiani, Toby Gee, David Helm, Bao Le Hung, James Newton, Richard Taylor, Jack Thorne), Preprint, 2018.
• Topological Hochschild homology and integral p-adic Hodge theory (with Bhargav Bhatt, Matthew Morrow), Publ. Math. de l'IHÉS 129 (2019), 199--310.
• Berkeley lectures on p-adic geometry (with Jared Weinstein), Annals of Math Studies 207.
• p-adic geometry, Proceedings of the ICM 2018.
• On topological cyclic homology (with Thomas Nikolaus), Acta Math 221 (2018), no. 2, 203--409.
• Étale cohomology of diamonds, Preprint, 2018.
• Vanishing theorems for perverse sheaves on abelian varieties, revisited (with Bhargav Bhatt, Christian Schnell), Selecta Math. (N.S.) 24 (2018), no. 1, 63--84.
• Topological realizations of absolute Galois groups (with Robert Kucharczyk), Cohomology of arithmetic groups, 201--288, Springer Proc. Math. Stat. 245.
• Canonical q-deformations in arithmetic geometry, Ann. Fac. Sci. Toulouse Math. (6) 26 (2017), no. 5, 1163--1192.
• Integral p-adic Hodge theory (with Bhargav Bhatt and Matthew Morrow), Publ. Math. de l'IHÉS 128 (2018), 219--397.
• On the generic part of the cohomology of compact unitary Shimura varieties (with Ana Caraiani), Annals of Mathematics (2) 186 (2017), no. 3, 649--766.
• Integral p-adic Hodge theory - Announcement (with Bhargav Bhatt, Matthew Morrow), Math. Res. Lett. 22 (2015), no. 6, 1601--1612.
• Projectivity of the Witt vector affine Grassmannian (with Bhargav Bhatt), Invent. Math. 209 (2017), no. 2, 329--423.
• On the p-adic cohomology of the Lubin-Tate tower, Ann. Sci. Éc. Norm. Supér. (4) 51 (2018), no. 4, 811--863.
• Perfectoid spaces and their Applications, Proceedings of the ICM 2014.
• The pro-étale topology for schemes (with Bhargav Bhatt), Astérisque 369 (2015), 99--201.
• On torsion in the cohomology of locally symmetric varieties, Annals of Mathematics (2) 182 (2015), no. 3, 945--1066.
• Perfectoid spaces: A survey, Current Developments in Mathematics, 2012.
• Moduli of p-divisible groups (with Jared Weinstein), Cambridge Journal of Mathematics 1 (2013), 145--237.
• p-adic Hodge theory for rigid-analytic varieties, Forum of Mathematics, Pi, 1, e1, 2013. Erratum
• Perfectoid spaces, Publ. math. de l'IHÉS 116 (2012), no. 1, 245--313.
• On the cohomology of compact unitary group Shimura varieties at ramified split places (with Sug Woo Shin), J. Amer. Math. Soc. 26 (2013), no. 1, 261--294.
• The Langlands-Kottwitz method and deformation spaces of p-divisible groups, J. Amer. Math. Soc. 26 (2013), no. 1, 227--259.
• The Local Langlands Correspondence for GL_n over p-adic fields, Invent. Math. 192 (2013), no. 3, 663--715.
• The Langlands-Kottwitz method for some simple Shimura varieties, Invent. Math. 192 (2013), no. 3, 627--661.
• The Langlands-Kottwitz method for the modular curve, Int. Math. Res. Not. 2011, no. 15, 3368--3425.

Zuletzt geändert: Juni 2021, Peter Scholze