Department Mathematik
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Inhaltsbereich

Dr. Andrei Lavrenov

Mathematisches Institut der Universität München
Theresienstr. 39
D-80333 München

Email: A.V.Lavrenov@gmail.com

Tel:   +49 (0)89   2180 4428
Fax:  +49 (0)89   2180 4466
Büro: Block B, 4. Stock, 427

Arbeitsgruppe Algebraische Geometrie

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Lehre

Publikationen


Dissertation


Morava motives of projective quadrics, LMU Munich (2020)

Preprints


Morava J-invariant (2024)
joint with Nikita Geldhauser, Victor Petrov, and Pavel Sechin

Morava K-theory and Rost invariant (2023)
joint with Victor Petrov

Publikationen


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