Publications

1. Galoiskohomologie reeller halbeinfacher algebraischer Gruppen.
   Abh. Math. Sem. Univ. Hamburg 61 (1991), 231-242
   AMSH page
   pdf file
2. p-adic K-theory of Hecke characters of imaginary quadratic fields.
   Duke Math. J. 86 (1997), 197-238
   pdf file
   Duke page
3. On K_3 of Witt vectors of length two over finite fields.
   K-Theory 12 (1997), 193-226
   pdf file
4. Tate's conjecture, algebraic cycles and rational K-theory in characteristic p.
   K-Theory 13 (1998), 109-122
   pdf file
5. Topological cyclic homology of schemes. Algebraic K-theory,
   Proc. Symp. Pure Math. 67 (1999), 41-88 (with L.Hesselholt)
   pdf file
6. Applications of de Jong's theorem on alterations. Resolution of Singularities. In tribute to Oscar Zariski,
   Progr. in Math. 181 (2000), 299-314
   pdf file
7. The K-theory of fields of characteristic p.
   Invent. Math.139 (2000), 459-493 (with M.Levine)
   pdf file
   Inventiones page
8. The Bloch-Kato conjecture and a theorem of Suslin-Voevodsky.
   J. reine angew. Math. 530 (2001), 55-103 (with M.Levine)
   pdf file
   JRAM page
9. Motivic Cohomology over Dedekind rings.
   Math. Z. 248 (2004), 773-794
   pdf file
   MZ page
10. Weil etale cohomology over finite fields.
    Math. Ann. 330 (2004), 665-692
    ArXiv page
    MA page
11. The cyclotomic trace map and values of zeta-functions,
    Algebra and Number Theory. Proc. Silver Jubilee Conf., Univ. Hyderabad (2005), 211-225.
    ArXiv page
12. Motivic Cohomology, K-theory and topological cyclic homology.
    Handbook of K-theory, Vol. 1, Springer (2005), 193-234.
    pdf file
    Handbook page
13. On the K-theory and topological cyclic homology of smooth schemes over a discrete valuation ring.
    Trans. Amer. Math. Soc. 358 (2006), 131-145. (with L.Hesselholt)
    TAMS page
14. The de Rham-Witt complex and p-adic vanishing cycles.
    J. Amer. Math. Soc. 19 (2006), 1-36. (with L. Hesselholt)
    ArXiv page
    JAMS page
15. Arithmetic Cohomology over finite fields and special values of zeta-functions.
    Duke Math. J. 133 (2006), no.1, 27-58.
    ArXiv page
16. On the K-theory of regular local Fp-algebras.
    Topology 45 (2006), no.3, 475-493 (with L.Hesselholt)
    ArXiv page
    Topology page
17. Bi-relative algebraic K-theory and topological cyclic homology.
    Invent. Math. 166 (2006), 359-395 (with L. Hesselholt).
    ArXiv page
    Inventiones page
18. The affine part of the Picard scheme.
    Compositio Math. 145 (2009), 415-422.
    ArXiv page
    Compositio page
    Corrected version (2021)
    Corrigendum page
19. Parshin's conjecture revisted.
    K-theory and noncommutative geometry, 413-425, EMS Ser. Congr. Rep., Eur. Math. Soc., Zurich, (2008).
    ArXiv page
    EMS page
20. Duality via cycle complexes.
    Ann. of Math. (2) 172 (2010), no. 2, 1095--1126.
    ArXiv page
    Annals page
21. Arithmetic homology and an integral version of Kato's conjecture.
    J. Reine Angew. Math. 644 (2010), 1--22.
    ArXiv page
    JRAM page
22. On the vanishing of negative K-groups.
    Math. Ann. 348 (2010), no. 3, 707-736 (with L.Hesseholt).
    ArXiv page
    MA page
23. On Suslin's singular homology and cohomology.
    Documenta Math. Extra Volume: Andrei A. Suslin's Sixtieth Birthday (2010) 223-249
    Documenta page
24. On the relative and bi-relative algebraic K-theory of rings of finite characteristic.
    J. Amer. Math. Soc. 24 (2011), no. 1, 29-49, (with L.Hesselholt).
    ArXiv page
    JAMS page
25. Finite generation conjectures for motivic cohomology theories over finite fields.
    Regulators, 153-165, Contemp. Math., 571, Amer. Math. Soc., Providence, RI, 2012.
    ArXiv page
26. On a conjecture of Vorst.
    Math. Zeitschrift 270, (2012) 445-452, (with L.Hesselholt)
    DOI: 10.1007/s00209-010-0806-2
    ArXiv page
    MZ page
27. Duality for Z-constructible sheaves for curves over finite fields.
    Doc. Math. 17 (2012), 989-1002.
    Documenta page
28. Homological descent for motivic homology theories.
    Homology, homotopy and applicatations, 16 (2014), No.2, 33-43.
    ArXiv page
29. Albanese varieties, Suslin homology and Rojtman's theorem.
    Algebraic number theory and related topics 2012, 73-83, RIMS Kokyuroku Bessatsu, B51, Res. Inst. Math. Sci., Kyoto, (2014).
    RIMS page
    pdf file
30. Rojtman's theorem for normal schemes.
    Math. Res. Lett. 22 (2015), no. 4, 1129-1144.
    ArXiv page
    MRL page
31. Applications and conjectures in motivic cohomology theory.
    (Japanese), Sugaku 67 (2015), no. 3, 225-245.
    JMS page
    pdf file
32. Parshin's Conjecture and Motivic Cohomology with Compact Support.
    Comment. Math. Univ. Sancti Pauli, Vol. 64, 2 (2015), 95-107.
    CMUSP page
33. Tame class field theory for singular varieties over algebraically closed fields.
    Documenta Mathematica 21 (2016) 91-123 (with A. Schmidt).
    Documenta page
34. Duality for integral etale motivic cohomology.
    K-Theory-Proceedings of the International Colloquium, Mumbai, 2016, 195-209, Hindustan Book Agency, New Delhi, 2018.
    ArXiv page
35. On the structure of etale motivic cohomology.
    Journal Pure Applied Algebra 221 (2017) 1614-1628, Volume in Honor of Chuck Weibel.
    ArXiv page
    JPAA page
36. Tame class field theory for singular varieties over finite fields.
    J. European Mathematical Soc.\ 19 (2017) 3467--3488 (with A. Schmidt).
    ArXiv page
    EMS page
37. Poitou-Tate duality for arithmetic scheme.
    Compos. Math. 154 (2018), no. 9, 2020-2044 (with A.Schmidt)
    ArXiv page
    Compositio page
38. Motivic cohomology: Applications and conjectures.
    Sugaku Expositions, Volume 32, Number 2, December 2019, 181-203.
    AMS page
39. Hasse principles for etale motivic cohomology.
    Nagoya Math. J., 236, Celebrating the 60th Birthday of Shuji Saito (2019) , 63-83
    NMJ page
40. A Weil-etale version of the Birch and Swinnerton-Dyer formula over function fields.
    J. Number Theory 208 (2020), 367-389 (with T.Suzuki).
    ArXiv page
    JNT page
41. Comparing the Brauer group to the Tate-Shafarevich group.
    J. Inst. Math. Jussieu 19 (2020), no. 3, 965-970.
    ArXiv page
    JIMJ page
42. Tate's Conjecture and the Tate-Shafarevich group over global function fields,
    J. Inst. Math. Jussieu, to appear.
    ArXiv page
    JIMJ page
43. On the kernel of the Brauer Manin pairing.
    J. Number Theory 238 (2022), 444-463 (with B. Morin)
    ArXiv page
    JNT page
44. Special values of L-functions of one-motives over function fields.
    J. Reine Angew. Math. 793 (2022), 281-304 (with T.\ Suzuki). (with T.Suzuki).
    ArXiv page
    JRAM page
45. Pontryagin duality for varieties over p-adic fields.
    J. Inst. Math. Jussieu 23 (January 2024), 425-462 (with B.Morin)
    ArXiv page
    JIMJ page
46. On Integral Class field theory for varieties over p-adic fields.
    J. Number Theory 260 (July 2024), 41-70 (with B.Morin).
    ArXiv page
    JNT page
47. Brauer and Neron-Severi groups of surfaces over finite fields.
    Preprint.
    ArXiv page