Dr. Andrei LavrenovMathematisches Institut der Universität München Email: A.V.Lavrenov@gmail.com Tel: +49 (0)89 2180 4428 |
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Lehre
Publikationen
Morava J-invariant, Forum of Mathematics, Sigma, 13 (2025), e104 (arXiv:2409.14099)
joint with Nikita Geldhauser, Victor Petrov, and Pavel Sechin
Morava K-theory and Rost invariant, IMRN 2025:8 (2025) (arXiv:2306.13605)
joint with Victor Petrov
Bounded generation of Steinberg groups over Dedekind rings of arithmetic type, EJM 11:23 (Nikolai Vavilov Memorial Issue) (2025) (arXiv:2307.05526)
joint with Boris Kunyavskiĭ, Eugene Plotkin, and Nikolai Vavilov
Morava K-theory of orthogonal groups and motives of projective quadrics, Adv. Math. 446 (2024) 109657 (arXiv:2011.14720)
joint with Nikita Geldhauser, Victor Petrov, and Pavel Sechin
On the A1-invariance of K2 modeled on linear and even orthogonal groups, IMRN 2023:24 (2023) 21906–21942 (arXiv:2110.11087)
joint with Sergey Sinchuk and Egor Voronetsky
Centrality of K2 for Chevalley groups: a pro-group approach, Izr. J. Math. (2024) (arXiv:2009.03999)
joint with Sergey Sinchuk and Egor Voronetsky
A Horrocks-type theorem for even orthogonal K2, Doc. Math. 25 (2020) 767–809 (arXiv:1909.02637)
joint with Sergey Sinchuk
A local-global principle for symplectic K2, Doc. Math. 23 (2018) 653–657 (arXiv:1606.06548 )
On centrality of even orthogonal K2, JPAA 221:5 (2016) 1134–1145 (arXiv:1606.00272)
joint with Sergey Sinchuk
Another presentation for symplectic Steinberg groups, JPAA 219:9 (2015) 3755–3780 (arXiv:1405.4296)
Unitary Steinberg group is centrally closed, St. Petersburg Math. J. 24:5 (2013) 783–794
Dissertation
Morava motives of projective quadrics, LMU Munich (2020)
Preprints
Invertible Morava motives in quadrics (2025)
joint with Pavel Sechin