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)   pdf   Preprint (February 2024).