Events
- Conference Motives in Mainz, March 18-22, 2024
- Fall school Algebraic K-Theory and Redshift, September 18-22, 2023
- Workshop Condensed Mathematics and K-Theory, Februar 27 - March 1, 2023
Research
Arithmetic geometry, algebraic K-theory
Preprints
- On the K-theory of pushouts
with M. Land, arXiv:2304.12812
Publications
- Purity in chromatically localized algebraic K-theory
with M. Land, A. Mathew, and L. Meier, arXiv:2001.10425, J. Amer. Math. Soc., doi:10.1090/jams/1043 - K-theory of non-archimedean rings II
with M. Kerz and S. Saito, arXiv:2103.06711
Nagoya Math. J., doi:10.1017/nmj.2023.4 - Towards Vorst's conjecture in positive characteristic
with M. Kerz and F. Strunk, arXiv:1812.05342
Compos. Math. (157) 2021, 1143-1171, doi:10.1112/S0010437X21007120 - On the K-theory of pullbacks
with M. Land, arXiv:1808.05559
Ann. of Math. (2) 190 (2019), 877-930, doi:10.4007/annals.2019.190.3.4 - K-theory of non-archimedean rings I
with M. Kerz and S. Saito, arXiv:1802.09819
Doc. Math. 24 (2019), 1365-1411, doi:10.25537/dm.2019v24.1365-1411 - Weak completions, bornologies and rigid cohomology
with G. Cortiñas, J. Cuntz, and R. Meyer, arXiv:1712.08004
J. Geom. Phys. 129 (2018), 192-199, doi:10.1016/j.geomphys.2018.03.005 - Nonarchimedean bornologies, cyclic homology and rigid cohomology
with G. Cortiñas, J. Cuntz, and R. Meyer, arXiv:1708.00357
Doc. Math. 23 (2018), 1197-1245, doi:10.25537/dm.2018v23.1197-1245 - Excision in algebraic K-theory revisited
arXiv:1703.03331
Compos. Math. 154 (2018), 1801-1814, doi:10.1112/S0010437X18007236 - Algebraic K-theory and descent for blow-ups
with M. Kerz and F. Strunk, arXiv:1611.08466
Invent. Math. 211 (2018), no. 2, 523-577, doi:10.1007/s00222-017-0752-2 - Towards a non-archimedean analytic analog of the Bass-Quillen conjecture
with M. Kerz and S. Saito, arXiv:1608.00703
J. Inst. Math. Jussieu, doi:10.1017/S147474801900001X - The Beilinson regulator is a map of ring spectra
with U. Bunke and T. Nikolaus, arXiv:1509.05667
Advances in Mathematics 333 (2018), 41-86, doi:10.1016/j.aim.2018.05.027 - On an analytic version of Lazard's isomorphism
arXiv:1408.4301
Algebra & Number Theory 9 (2015), no. 4, 937-956, doi:10.2140/ant.2015.9.937 - Multiplicative differential algebraic K-theory and applications
with U. Bunke, arXiv:1311.1421
Ann. K-Theory 1 (2016), No. 3, 227-258, doi:10.2140/akt.2016.1.227 - Regulators and cycle maps in higher-dimensional differential algebraic K-theory
with U. Bunke, arXiv:1209.6451
Advances in Mathematics 285 (2015), 1853-1969, doi:10.1016/j.aim.2015.08.004 - Karoubi's relative Chern character, the rigid syntomic regulator, and the Bloch-Kato exponential map (pdf),
Forum of Mathematics, Sigma 2 (2014), e20, doi: 10.1017/fms.2014.21 - Karoubi's relative Chern character and Beilinson's regulator (pdf),
Annales scientifiques de l'École normale supérieure (4) 45 (2012), no. 4, 601-636, doi:10.24033/asens.2174 - Comparison of Karoubi's regulator and the p-adic Borel regulator (pdf),
Journal of K-Theory 9 (2012), no. 3, 579-600, published by Cambridge University Press, © ISOPP 2011, doi:10.1017/is011010026jkt165