Publications
1.) A note on the Witt group of $\P^n$
Math. Z. 237 (2001), 601-619.
2.) On Witt groups with support Math. Ann.
322 (2002), 103-137.
3.) The Gersten conjecture for Witt groups in
the equicharacteristic case
(joint with Paul Balmer,
Ivan Panin and
Charles Walter )
Doc. Math. 7 (2002), 203-217.
4.) Pairings in triangular Witt theory (joint with
Alexander Nenashev )
J. Algebra 261 (2003), 292-309.
5.) Homotopy invariance of coherent Witt groups
Math. Z. 244 (2003), 211-233.
6.) A transfer morphism for Witt groups
J. reine angew. Math. 564 (2003),
215-233.
7.) Motivic decomposition of isotropic projective
homogenous varieties
(joint with Vladimir Chernousov
and Alexander Merkurjev )
Duke Math. J. 126 (2005), 137-159.
8.) A zero theorem for the transfer of coherent
Witt groups
(joint with Jens Hornbostel )
Math. Nachr. 278 (2005), 815-823.
9.) Koszul complexes and symmetric forms over the punctured affine space
(joint with Paul Balmer )
Proc. London Math. Soc. (3) 91 (2005), 273-299.
10.) On injective modules over Azumaya algebras over locally
noetherian schemes Manuscripta Math. 121
(2006), 437-450.
11.) A graded Gersten-Witt complex for schemes with a dualizing
complex and the Chow group J. pure appl. Algebra
208 (2007), 391-419.
12.) A Gersten-Witt complex for hermitian Witt groups of
coherent algebras over schemes I: Involution of the first kind
Compos. Math. 143 (2007), 271-289.
13.) The general dévissage theorem for Witt
groups of schemes Arch. Math.
88 (2007), 333-343.
14.) On the Brauer group of a semisimple algebraic group
Adv. Math. 220 (2009), 913-925.
15.) The first Zariski cohomology group of the Witt sheaf over a
split simply connected simple algebraic group Quadratic Forms--Algebra,
Arithmetic, and Geometry, 163-180, Contemp. Math.
493 Amer. Math. Soc., Providence, RI, 2009.
16.) A Gersten-Witt complex for hermitian Witt groups of
coherent algebras over schemes II: Involution of the second kind
J. K-Theory 4 (2009), 347-377.
17.) The Rost nilpotence theorem for geometrically rational surfaces
Invent. Math. 181 (2010), 1-19.
18.) The first Suslin homology sheaf of a split simply connected semisimple
algebraic group J. Algebra 333 (2011), 26-39.
19.) Equivariant pretheories and invariants of torsors (joint with
Kirill Zainoulline)
Transform. Groups 17 (2012), 471-498.
20.) On coherent hermitian Witt groups Manuscripta Math.
141 (2013), 423-446.
21.) On Chow motives of surfaces J. reine angew. Math.
686 (2014), 149-166.
22.) On the Brauer group of the product of a torus and a semisimple
algebraic group (joint with
Nikita Semenov) Israel J. Math. 202 (2014), 375-403.
23.) Permutation modules and Chow motives of geometrically rational
surfaces J. Algebra 440 (2015), 443-463.
24.) Milnor-Witt K-groups of local rings (joint with
Stephen Scully
and Changlong Zhong)
Adv. Math. 286 (2016), 729-753.
25.) On the Rost nilpotence theorem for threefolds
Bull. London Math. Soc. 50 (2018), 63-72.
26.) Rost nilpotence and free theories (joint with
Alexander Vishik)
Doc.Math. 23 (2018), 1635-1657.
27.) On quadratic forms over semilocal rings
Trans. Amer. Math. Soc. 371 (2019), 1063-1082.
28.) A hermitian analog of a quadratic form theorem of Springer
Manuscripta Math. 163 (2020), 125-163.
29.) On the splitting principle for cohomological invariants of
reflection groups (joint with
Christian Hirsch)
Transform. Groups 27 (2022), 1261-1285.
30.) On Brauer invariants of finite groups Math. Z. 300
(2022), 217-234.
31.) On the Gersten conjecture for hermitian Witt groups (joint with
Ivan Panin) Math. Ann. 389
(2024), 1187-1224.
32.) On the Witt group of the punctured spectrum of a regular semilocal ring (joint
Ivan Panin) J. Lond. Math. Soc. (2)
110 (2024), Paper No. e70042 (23pp).
33.) Direct sums of Chow motives and Rost nilpotence Canad. Math. Bull. (to appear).