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Arithmetic Algebraic Geometry, (motivic) Homotopy Theory
SS12: Seminar zu laufenden Abschlussarbeiten
(with Tyler Lawson) Strictly commutative realizations of diagrams over the Steenrod algebra and topological modular forms at the prime 2, 38 pp, preprint.
(with Tyler Lawson) Commutativity conditions for truncated Brown-Peterson spectra of height 2, Journal of Topology 5 (2012) 137-168
(with Paul Arne Østvær and Markus Spitzweck) Existence and uniqueness of ${\mathcal E}_\infty$-structures on motivic $K$-theory spectra , 12p., preprint.
(with Uli Bunke) Secondary Invariants for String Bordism and tmf, 56pp, preprint.
(with Markus Spitzweck) Brown representability in A1-homotopy theory, , J. K-Theory 7 (2011), 527--539 (special issue)
(with Annette Huber and Guido Kings) Some complements to the Lazard isomorphism, Compositio Mathematica, Volume 147 (2011), vol. 1, pp. 235-262.
(with Paul Arne Østvær and Markus Spitzweck) Chern classes, K-theory and Landweber exactness over nonregular base schemes , Conference Proceeding of S. Bloch's birthday (Fields Institute, Toronto).
(with Uli Bunke) The f-invariant and index theory, Manuscripta Mathematica 132 (2010), 365--397.
(with Paul Arne Østvær and Markus Spitzweck) Motivic Landweber Exactness, Documenta Math. 14 (2009) 551--593.
(with G. Wiese) Multiplicities of Galois representations of weight one, Algebra and Number Theory, vol. 1 (2007), no.1, 67--87.
Arithmetically defined dense subgroups of Morava stabilizer groups , Compositio Mathematica, vol. 144 (2008), no. 1, 247--270.
(with J. Hornbostel) Beta-elements and divided congruences, 25 p., Amer. J. Math., vol. 129, no. 5, October 2007
A quantitative sharpening of Moriwaki's arithmetic Bogomolov inequality, Math. Res. Lett. 12 (2005), no. 6, 877-884.
The stack of formal groups in stable homotopy theory, Advances in Math., vol. 215 (2007), no. 2, 569--600.
Algebraic independence in the Grothendieck ring of varieties, Trans. AMS 359 (2007), no 4, 1653-1683.
(with F. Baldassarri and C. Deninger) A motivic version of Pellikaan's two variable zeta function, 15 p., Diophantine Geometry Proceedings, SNS Pisa, 2007.
Representability of Aut_F and End_F, Comm. Algebra 33 (2005), no. 8, 2563--2568.
Linear relations among the values of canonical heights from the existence of non-trivial endomorphisms, Canad. Math. Bull. 47 (2004), no. 2, 271--279.
On the irreducibility of the two variable zeta-function for curves over finite fields, C. R. Math. Acad. Sci. Paris 336 (2003), no. 4, 289--292.
(with C. Diem) On the structure of Weil restrictions of abelian varieties, J. Ramanujan Math. Soc. 18 (2003), no. 2, 153--174.
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