Marco Schlichting


Preprints

[16]




Published Work and work accepted for publication

[15] Euler class groups and the homology of elementary and special linear groups, Adv. in Math. 320 (2017), 1-81.
[14] Hermitian K-theory, derived equivalences, and Karoubi's Fundamental Theorem, J. Pure Appl. Algebra 221 (2017), no. 7, 1729-1844.
[13] The Witt group of real algebraic varieties, with M. Karoubi and C.A. Weibel, J. Topology (2016) 9 (4): 1257-1302
[12] The homotopy fixed point theorem and the Quillen-Lichtenbaum conjecture in hermitian K-theory (with A.J. Berrick, M. Karoubi and P.A. Østvær) Adv. Math. 278 (2015), 34-55.
[11] Geometric models for higher Grothendieck-Witt groups in A1-homotopy theory (with Girja S. Tripathi) Math. Ann. 362 (2015), no. 3-4, 1143-1167.
[10] Higher algebraic K-theory (after Quillen, Thomason and others), Topics in Algebraic and Topological K-theory. Springer Lecture Notes in Math. 2008 (2011), 167-242.
[9] The Mayer-Vietoris principle for Grothendieck-Witt groups of schemes, Invent. Math. 179 (2010), no. 2, 349 - 433.
[8] Hermitian K-theory of exact categories, J. K-theory 5 (2010), no. 1, 105 - 165.
[7] Cyclic homology, cdh-cohomology and negative K-theory (with G. Cortiñas, C. Häsemeyer and C. A. Weibel), Ann. of Math. 167 (2008), 549 - 573.
[6] Negative K-theory of derived categories, Math. Z. 253 (2006), no. 1, 97 - 134.
[5] Localization in Hermitian K-theory of rings (with Jens Hornbostel), J. London Math. Soc. 70 (2004), no. 1, 77 - 124.
[4] Hermitian K-theory: On a theorem of Giffen, K-theory 32 (2004), no. 3, 253 - 267.
[3] Delooping the K-theory of exact categories, Topology 43 (2004), no. 5, 1089 - 1103.
[2] A note on K-theory and triangulated categories, Invent. Math. 150 (2002), no. 1, 111 - 116.
[1] Idempotent completion of triangulated categories (with Paul Balmer), J. Algebra 236 (2001), pp.819 - 834.
[0] Delooping the K-theory of exact categories and negative K-groups, PhD thesis at Université Paris 7 (2000).



Collaborators

Paul Balmer, A.J. Berrick, Guillermo Cortiñas, Christian Häsemeyer, Jens Hornbostel, Max Karoubi, Girja S. Tripathi, Charles A. Weibel, Paul Arne Østvær


Former PhD students

Heng Xie: Grothendieck-Witt groups of quadrics and sums-of-squares formulas (2015)
Simon Markett: The Grayson spectral sequence for hermitian K-theory (2015)
Jeremy Jacobson: On the Witt groups of schemes (2012)
Girja Shanker Tripathi: Orthogonal Grassmannians and hermitian K-theory in A1-homotopy theory of schemes (2010)



Current PhD students

Daniel Grech
James Plowman
Ferdinando Zanchetta
Dylan Madden


Other Activities

Editor for Annals of K-theory

Former editor for Journal of K-theory. See the Open letter of the editors about the end of the Journal of K-theory

Teacher for Music Together Kenilworth