Publications & Preprints
Research partially supported by the Knut & Alice Wallenberg Foundation and the Swedish Research Council
Preprints:
(with S. Cooper) Hodge-Chern classes and strata-effectivity in tautological rings
(with S. Reppen) An Ogus Principle for Zip period maps: The Hasse invariant's vanishing order via `Frobenius and the Hodge filtration'
(with J.-S. Koskivirta) Griffiths-Schmid conditions for automorphic forms via characteristic p
(with J.-S. Koskivirta) Divisibility of mod p automorphic forms and the cone conjecture for certain Shimura varieties of Hodge-type
Classification of Hasse-type zip data, Appendix to Weights of mod p automorphic forms and partial Hasse invariants by N. Imai & J.-S. Koskivirta
Publications:
12. Quasi-constant fundamental weights in terms of Levi subgroups
J. Algebra., 559 (2020), pp. 87-94
11. The Griffiths bundle is generated by groups
Math. Ann. 375 (2019), pp. 1283-1305
griffiths_bundle.pdf Open Access
10. (with Jean-Stefan Koskivirta) Strata Hasse invariants, Hecke algebras and Galois representations
Invent. Math. 217 No. 3 (2019), pp. 887--984.
9. (with Jean-Stefan Koskivirta) Quasi-constant characters: Motivation, classification and applications.
Adv. in Math. 339 (2018), pp. 336--366
8. (with Jean-Stefan Koskivirta) Automorphic vector bundles with global sections on G-Zip^Z-schemes.
Compositio Math., 154 (2018), pp. 2586--2605
IMRN No. 12 (2019), pp. 3646-3682
6. (with Marc-Hubert Nicole) The $\mu$-ordinary Hasse invariant of unitary Shimura varieties.
J. reine angew. Math. 728 (2017), pp. 137–151.
Notes: Merges our two previous preprints, "A \mu-ordinary Hasse invariant" (arXiv:1302.1614v2) and "The \mu-ordinary Hasse invariant of unitary Shimura varieties" (arXiv:1305.6956v1).
5. An introduction to the Langlands correspondence.
pp. 333-367 of "Recent Advances in Hodge Theory: Period Domains, Algebraic Cycles, and Arithmetic". Proceedings of a conference held at the Pacific Institute for the Mathematical Sciences, Vancouver, Canada in June 2013. Matt Kerr and Gregory Pearlstein editors, Cambridge University Press, 2016.
Notes: Based on three expository lectures given at the above conference.
4. (With an appendix by Sug Woo Shin) Galois Representations Associated to Holomorphic Limits of Discrete Series.
Compositio Math. 150 (2014) pp.191-228
3. A new proof of Belyi's Theorem.
J. Number Theory 135 (2014) pp. 151-154
2. Unifying Themes Suggested by Belyi's Theorem.
pp. 181--214 of Number Theory, Analysis and Geometry (Serge Lang Memorial Volume). D. Goldfeld, J. Jorgenson, P. Jones, D. Ramakrishnan, K. Ribet, J. Tate eds. Springer-Verlag, 2011
1. Dynamics of the w function and primes.
J. Number Theory 119 (2006) pp. 86-98