Publications and Preprints
Articles
- (with Bertrand Remy and Amaury Thuillier) An intrinsic characterization of Bruhat-Tits buildings inside analytic groups. Preprint (2021).
- (with Ben Heuer and Lucas Mann) The p-adic Corlette-Simpson correspondence for abeloids. Preprint (2021).
- (with Lucas Mann) Local systems on diamonds and p-adic vector bundles. Preprint (2020).
- (with Marvin Anas Hahn) Strongly semistable reduction of syzygy bundles on plane curves. Preprint (2019). To appear in J. London Math. Soc.
- (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 Remy and Amaury Thuillier) Wonderful compacitifications 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 Cp. 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
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Facettenreiche Mathematik (Hrsg: Katrin Wendland, Annette Werner). Vieweg+Teubner 2011.
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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