Homepage von Kay Rülling


Kay Rülling
Institut für Mathematik
Arnimallee 7
14195 Berlin
Raum 139
Tel (030) 838-59933
Email kay.ruelling(a-in-o)fu-berlin.de

Im Sommersemester 2019 bin ich als Vertretungsprofessor an der TU München



Hier sind Seminare, an deren Organisation ich beteiligt war.


  1. The generalized de Rham-Witt complex over a field is a complex of zero-cycles .
    J. Algebr. Geom. 16, No. 1 (2007), 109-169.

  2. (mit Andre Chatzistamatiou) Higher direct images of the structure sheaf in positive characteristic.
    Algebra & Number Theory, vol 5, No. 6 (2011), 693-775. http://arxiv.org/abs/0911.3599

  3. (mit Pierre Berthelot, Hélène Esnault) Rational points over finite fields for regular models of algebraic varieties of Hodge type ≥ 1.
    Annals of Mathematics, vol 176, No. 1 (2012), 413-508. http://arxiv.org/abs/1009.0178

  4. (mit Andre Chatzistamatiou) Hodge-Witt Cohomology and Witt-rational singularities.
    Documenta Mathematica, vol 17 (2012), 663-781.

  5. (mit Takao Yamazaki) A vanishing result for a K-group of reciprocity functors.
    Journal of K-theory, vol 14, issue 03 (2014), 556-569. https://arxiv.org/pdf/1312.4205.pdf.

  6. (mit Andre Chatzistamatiou) Vanishing of the higher direct images of the structure sheaf.
    Compositio Mathematica, vol 151, issue 11 (2015), 2131-2144. https://arxiv.org/abs/1404.1827

  7. (mit Florian Ivorra) K-groups of reciprocity functors.
    J. Algebraic Geom. 26, No. 2 (2017), 199-278. http://arxiv.org/abs/1209.1217

  8. (mit Takao Yamazaki) Suslin homology of relative curves with modulus.
    Journal of the London Mathematical Society 2016; doi: 10.1112/jlms/jdw006

  9. Kähler differentials and de Rham-Witt differentials have reciprocity.
    7 pages. Appendix to "Reciprocity sheaves, I" by Bruno Kahn, Shuji Saito, Takao Yamazaki.
    Compositio Mathematica, vol 152, issue 9 (2016), 1851-1898. http://arxiv.org/abs/1402.4201

  10. (mit Shuji Saito) Higher Chow groups with modulus and relative Milnor K-theory.
    Trans. Amer. Math. Soc. 370 (2018), pp. 987-1043. http://arxiv.org/abs/1504.02669


  1. (mit Shuji Saito) Reciprocity sheaves and abelian ramification theory.
    78 pages, preprint 2018.
    (The references [KSYa], [KSYb], and [Sai] are currently under revision, once this is done the citations in this manuscript will be revised accordingly.)