Research

Preprints

• Singularities of local models (with Najmuddin Fakhruddin, Thomas  J. Haines, João N. P. Lourenço), 32 pages, preprint Aug 2022, [arXiv].
• On the p-adic theory of local models (with Johannes Anschütz, Ian Gleason, João N. P. Lourenço), 53 pages, preprint Jan 2022, [arXiv].
• Constructible sheaves on schemes and a categorical Künneth formula (with Tamir Hemo, Jakob Scholbach), 43 pages, preprint Jul 2021, [arXiv].
• Néron blowups and low-degree cohomological applications (with Arnaud Mayeux, Matthieu Romagny), 22 pages, preprint Feb 2020, [arXiv]. Submitted.

Refereed Publications (published/accepted)

• On the normality of Schubert varieties: Remaining cases in positive characteristic (with Thomas  J. Haines, João N. P. Lourenço), accepted in Annales scientifiques de l’ENS, [arXiv].
• Normality and Cohen-Macaulayness of Parahoric Local Models (with Thomas  J. Haines), accepted in Journal of the European Mathematical Society, [arXiv].
• Tate motives on Witt vector affine flag varieties (with Jakob Scholbach), Selecta Mathematica 27 (2021), 34 pages [Journal], [arXiv].
• The motivic Satake equivalence (with Jakob Scholbach), Mathematische Annalen 380 (2021), 1595-1653. [Journal], [arXiv].
• The Test Function Conjecture for Parahoric Local Models (with Thomas  J. Haines), Journal of the American Mathematical Society 34 (2021), 135-218. [Journal], [arXiv].
• Smoothness of Schubert varieties in twisted affine Grassmannians (with Thomas  J. Haines), Duke Math. Journal 169 (2020), 3223-3260. [Journal], [arXiv].
• The Test Function Conjecture for Local Models of Weil-restricted groups (with Thomas  J. Haines), Compositio Mathematica 156 (2020), 1348-1404. [Journal], [arXiv].
• The intersection motive of the moduli stack of shtukas (with Jakob Scholbach), Forum of Mathematics, Sigma 8 (2020), 1-99. [Journal], [arXiv].
• Spaces with G_m-action, hyperbolic localization and nearby cycles, Journal of Algebraic Geometry 28 (2019), 251-289. [Journal], [arXiv].
• On the Iwahori Weyl group, Bulletin de la SMF 144 (2016), 117- 124. [Journal], [arXiv].
• Affine Grassmannians and geometric Satake equivalences, Int. Math. Res. Not. 12 (2016), 3717-3767. [Journal], [arXiv], [Erratum].
• Construction of the full Langlands dual group via the geometric Satake correspondence (with Xinwen Zhu), Appendix to Xinwen Zhu: The geometric Satake correspondence for ramified groups, Annales scientifiques de l’ENS 48 (2015), 409-451. [Journal], [arXiv].
• A new approach to the geometric Satake equivalence, Documenta Mathematica 19 (2014), 209-246. [Journal], [arXiv].
• Schubert varieties in twisted affine flag varieties and local models, Journal of Algebra 375 (2013), 121-147. [Journal], [arXiv].

Proceedings