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On the presentation of the Grothendieck-Witt group of symmetric bilinear forms over local rings, with Robert
Rogers. Accepted for publication in Math. Z. (28/4/2024)
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L-theory of C*-algebras, with Markus Land and Thomas Nikolaus. Proc. Lond. Math. Soc. 127 (2023), Issue 5, Pages 1451-1506.
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The third homology of symplectic groups and algebraic K-theory, with H. P. Sarwar. Accepted for publication in Amer. J. Math. (5/2/2023)
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Grothendieck-Witt groups of some singular schemes, with M. Karoubi and C.A. Weibel.
Proc. Lond. Math. Soc. 122 (2021), Issue 4, Pages 521-536. DOI
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Higher K-theory of forms I. From rings to exact categories, J. Inst. Math. Jussieu. 20 (2021), Issue 4 , pp. 1205 - 1273. DOI
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Symplectic and orthogonal K-groups of the integers, Comptes Rendus Mathematique.
357 (2019), Issue 8, Pages 686-690. DOI
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Euler class groups and the homology of elementary and special linear groups, Adv. in Math. 320 (2017), 1-81.
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Hermitian K-theory, derived equivalences,
and Karoubi's Fundamental Theorem, J. Pure Appl. Algebra 221 (2017), no. 7, 1729-1844.
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The Witt group of real algebraic varieties,
with M. Karoubi and C.A. Weibel, J. Topology
(2016) 9 (4): 1257-1302 |
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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.
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Geometric models for higher Grothendieck-Witt
groups in A1-homotopy theory (with Girja S. Tripathi) Math. Ann. 362 (2015), no. 3-4, 1143-1167.
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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.
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The Mayer-Vietoris principle for Grothendieck-Witt groups of schemes, Invent. Math. 179 (2010), no. 2, 349 - 433.
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Hermitian K-theory of exact categories, J. K-theory 5 (2010), no. 1, 105 - 165.
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Cyclic homology, cdh-cohomology and negative K-theory (with G. Cortiñas, C. Häsemeyer and C. A. Weibel), Ann. of Math. 167 (2008), 549 - 573.
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Negative K-theory of derived categories, Math. Z. 253 (2006), no. 1, 97 - 134.
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Localization in Hermitian K-theory of rings (with Jens Hornbostel),
J. London Math. Soc. 70 (2004), no. 1, 77 - 124.
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Hermitian K-theory: On a theorem of Giffen,
K-theory 32 (2004), no. 3, 253 - 267.
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Delooping the K-theory of exact categories, Topology 43 (2004), no. 5, 1089 - 1103.
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A note on K-theory and triangulated categories,
Invent. Math. 150 (2002), no. 1, 111 - 116.
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Idempotent completion of triangulated categories (with Paul Balmer),
J. Algebra 236 (2001), pp.819 - 834.
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Delooping the K-theory of exact categories and negative
K-groups,
PhD thesis at Université Paris 7 (2000).
|