Goethe-Universität — Prof. Dr. Annette Werner

Lehre

Veranstaltungen vorangegangener Semester

Sommersemester 2025

Wintersemester 2024/25

Nicht-Archimedische Geometrie
Seminar zu Zahlentheorie und kommutativer Algebra

Sommersemester 2024

Wintersemester 2023/24

Sommersemester 2023

Wintersemester 2022/23

Proseminar / L3-Seminar: Beweismethoden
Lineare Algebra 1

Skripte und andere Materialien

Publications and Preprints

(with Andreas Gross, Inder Kaur and Martin Ulirsch) Semi-homogeneous vector bundles on abelian varieties: moduli spaces and their tropicalization. Preprint (2023).

(with Stefan Rettenmayr) Combinatorial Cremona autormorphisms and Coxeter arrangement matroids. manuscripta math. 176, 51 (2025)

(with Ben Heuer and Mingjia Zhang) p-adic Simpson correspondences for principal bundles in abelian settings. Canadian Journal of Math. Published online 2025:1-48. doi:10.4153/S0008414X2400110X

(with Kris Shaw) On the birational geometry of matroids. Combinatorial Theory 3(2) (2023) doi: 10.5070/C63261996.

(with Ben Heuer and Lucas Mann) The p-adic Corlette-Simpson correspondence for abeloids. Math. Ann. 385 (2023) 1639–1676. https://doi.org/10.1007/s00208-022-02371-2.

(with Lucas Mann) Local systems on diamonds and p-adic vector bundles. International Mathematical Research Notices 15 (2023) 12785–12850. https://doi.org/10.1093/imrn/rnac182.

(with Bertrand Rémy and Amaury Thuillier) An intrinsic characterization of Bruhat-Tits buildings inside analytic groups. Michigan Math. J. 72 (2022), 543-557.

(with Marvin Anas Hahn) Strongly semistable reduction of syzygy bundles on plane curves. J. London Math. Soc. 105 (2022), 1518-1545.

(with Martin Möller and Martin Ulirsch) Realizability of tropical canonical divisors. J. Eur. Math. Soc. 23 (2021), no. 1, 185–217.

(with Christopher Deninger) Parallel transport for vector bundles on p-adic varieties. J. Alg. Geom. 29 (2020), 1-52.

(with Sevda Kurul) On endomorphisms of arrangement complements. Proc. Amer. Math. Soc. 147 (2019) 2797-2808.

(with Bertrand Rémy and Amaury Thuillier) Wonderful compactifications of Bruhat-Tits buildings. In: Épijournal de Géométrie Algébrique 1 (2017), epiga: 4138.

(with Walter Gubler and Joseph Rabinoff) Tropical Skeletons. Ann. Inst. Fourier 67 (2017), 1905-1961.

Analytification and tropicalization over non-archimedean fields. In: M. Baker, S. Payne (eds): Nonarchimedean and Tropical Geometry. Springer International Publishing (2016), 145-171.

(with Walter Gubler and Joseph Rabinoff) Skeletons and tropicalizations. Adv. Math. 294 (2016), 150-215.

(with Bertrand Rémy and Amaury Thuillier) Bruhat-Tits buildings and analytic geometry. In: Berkovich Spaces and Applications. Springer Lecture Notes in Mathematics 2119 (2015), 141-202.

(with Maria Angelica Cueto and Mathias Häbich) Faithful tropicalization of the Grassmannian of planes. Math. Ann. 360 (2014), 391-437.

(with Josephine Yu) Symmetric Alcoved Polytopes. Electron. J. Combin. 21 (2014), 1-20.

(with Bertrand Rémy and Amaury Thuillier) Automorphisms of Drinfeld half-spaces over a finite field. Compositio Math. 149 (2013), 1211-1224.

Non-Archimedean Analytic Spaces. Jahresber. Dtsch. Math.-Ver. 115 (2013), 3–20.

(with Bertrand Rémy and Amaury Thuillier) Bruhat-Tits Theory from Berkovich's Point of View. II - Satake compactifications. J. Inst. Math. Jussieu 11 (2012), 421-465.

A tropical view on Bruhat-Tits buildings and their compactifications. Cent. Eur. J. Math. 9 (2011), no. 2, 390–402.

(with Dustin Cartwright, Mathias Häbich and Bernd Sturmfels) Mustafin Varieties. Sel. Math. New Ser. 17 (2011), 757–793.

(with Christopher Deninger) Vector bundles on p-adic curves and parallel transport II. In: I. Nakamura, L. Weng (eds): Algebraic and Arithmetic Structures of Moduli Spaces (Sapporo 2007). Adv. Stud. Pure Math. 58 (2010), 1-26.

(with Bertrand Rémy and Amaury Thuillier) Bruhat-Tits Theory from Berkovich's Point of View. I - Realizations and Compactifications of Buildings. Ann. Sci. Ec. Norm. Sup. 43 (2010), 461-554.

Compactifications of Bruhat-Tits buildings associated to linear representations. Proc. Lond. Math. Soc. 95 (2007), 497-518.

(with Christopher Deninger) On Tannaka duality for vector bundles on p-adic curves. In: J. Nagel, Ch. Peters (eds): Algebraic Cycles and Motives. London Math. Soc. Lecture Note Ser. 344 (2007), 94-111.

Vector bundles on curves over C_p. In: L. Weng, I. Nakamura (eds): Arithmetic Geometry and Number Theory. Series on Number Theory and Its Applications Vol. 1. World Scientific (2006), 47-64.

(with Christopher Deninger) Line bundles and p-adic characters. In: G van der Geer, B. Moonen, R. Schoof (eds): Number Fields and Function Fields - Two Parallel Worlds. Birkhäuser Progress in Mathematics 239, (2005), 101-131.

(with Christopher Deninger) Vector bundles on p-adic curves and parallel transport. Ann. Scient. de l'ecole Norm. Sup. 38 (2005) 553-597.

Compactification of the Bruhat-Tits building of PGL(V) by seminorms. Math. Z. 248 (2004), 511-526.

(with Adrian Iovita) p-adic height pairings on abelian varieties with semistable ordinary reduction. J. reine angew. Math. 564 (2003), 181-203.

Arakelov intersection indices of linear cycles and the geometry of buildings and symmetric spaces. Duke Math. J. 111 (2002), 319-355.

Non-archimedean intersection indices on projective spaces and the Bruhat-Tits building for PGL. Ann. Inst. Fourier 51 (2001), 1483-1505.

Compactification of the Bruhat-Tits building of PGL by lattices of smaller rank. Documenta Math. 6 (2001), 315-342.

Local heights on abelian varieties and rigid analytic uniformization. Documenta Math. 3 (1998), 301-319.

On Grothendieck's pairing of component groups in the semistable reduction case. J. reine angew. Math. 486 (1997), 205-215.

Local heights on abelian varieties with split multiplicative reduction. Compositio Math. 107 (1997), 289-317.

Local heights on Mumford curves. Math. Ann. 306 (1996), 819-831.

Books

Facettenreiche Mathematik (Hrsg: Katrin Wendland, Annette Werner). Vieweg+Teubner 2011.
Elliptische Kurven in der Kryptographie. Springer Verlag 2002.

For a general audience

Ein Ausflug in die p-adische Welt. Aus: Facettenreiche Mathematik. Vieweg+Teubner 2011, S. 433-451

Slides of some of my talks

Mitarbeiterinnen und Mitarbeiter

Sonstiges