|  | Prof. Dr. Kay Wingberg Mathematisches Institut
 | 
Research interests
Publikationen
 
 
    Algebraic Number Theory, Iwasawa Theory,
 
    Arithmetic Geometry,
    Structure of profinite (or pro-p) Groups
 
 
 
 
Publikationen
       Cohomology
of Number Fields  (with Jürgen Neukirch and Alexander Schmidt)
 
    Cohomology
of Number Fields  (with Jürgen Neukirch and Alexander Schmidt)
 
 
         1. p-Potenzen und Kommutatoren in Verzweigungsgruppen
      p-adischer Zahlkörper
        2.  Die Einsheitengruppe von p-Erweiterungen regulärer
      p-adischer Zahlkörper als Galoismodul
        3.  Die p-Vervollständigung der multiplikativen Gruppe
      einer p-Erweiterung eines irregulären p-adischen Zahlkörpers 
             (with Uwe Jannsen)
        4. Einbettungsprobleme und Galoisstruktur lokaler
      Körper (with Uwe Jannsen)
        5. Existenz unendlicher algebraischer Zahlkörper, über 
      denen jedes Einbettungsproblem lösbar ist
        6. Eine Bemerkung zum Einbettungsproblem mit nicht-abelschem
      Kern
        7. Die Struktur der absoluten Galoisgruppe p-adischer
      Zahlkörper (with Uwe Jannsen)
        8. Der Eindeutigkeitssatz für Demuskin-Formationen
        9.  Demuskin-Erzeugende einer elementar-abelschen
      p-Erweiterung (with Uwe Jannsen)
      10. Freie Produktzerlegungen von Galoisgruppen und Iwasawa-
      Invarianten für p-Erweiterungen von Q
      11. Ein Analogon zur Fundamentalgruppe einer Riemann'schen 
      Fläche im Zahlkörperfall
      12. Duality theorems for Γ-extensions of 
       algebraic number fields
      13. Positiv-zerlegte p-Erweiterungen algebraischer 
     Zahlkörper
      14. ℓ-Überlagerungen von 
       P1\{p1,p2,p3}
      15. Galois groups of number fields generated by torsion points
      of elliptic curves
      16. Artin/Verdier duality for n-dimensional local
      fields involving higher algebraic K-sheaves  (with Christopher Deninger)
      17. On Poincaré groups
      18. On the product formula in Galois groups
      19. On the rational points of abelian varieties over 
     Zp-extensions of number fields
      20. On the Beilinson-conjectures for elliptic curves
      with complex multiplication (with Christopher Deninger)
      21. A Riemann-Hurwitz formula for the Selmer group of an 
      elliptic curve with complex multiplication
      22. Representations of locally profinite Groups
      23. Duality Theorems for abelian varieties over 
    Zp-extensions
      24. Galois groups of Poincaré type over 
      algebraic number fields
      25. On Demuskin groups with involution
      26. On Galois groups of p-closed number fields with restricted
      ramification
      27. On the etale K-theory of elliptic curves with complex 
     multiplication for regular primes
      28. On a Galois extension with restricted ramification related
     to the Selmer group of an ellipitic curve with complex multiplication
      29. On Galois groups of p-closed number fields with restricted
      ramification II
      30. On the fundamental group of a smooth arithmetic
      surface (with Alexander Schmidt)
      31.  On the maximal unramified p-extension of an 
      algebraic number field
      32. On positively ramified extensions of algebraic 
     number fields
      33. Safarevic's theorem on solvable groups as Galois group
     (with Alexander Schmidt)
      34. Galois groups of local and global type
      35. On the Fontaine-Mazur Conjecture for CM-Fields
      36. Free quotients of Demuskin groups with operators
      37. Free Product Decomposition of Galois Groups of 
      Number Fields
      38. Free pro-p extensions of number fields
      39. On Čebotarev sets
      40. Arithmetical Koch Groups
      41. Sets of Completely Decomposed Primes in Extensions of  Number Fields
      42. Riemann's existence theorem and 
the K(π,1)-property of rings of integers
      43. Extensions of Profinite Duality Groups (with Alexander Schmidt)
      44. On the Embedding Problem with Non-abelian Kernel
      45. On the Theory of Ends of a Pro-p Group
      46. Corestricted Free Products of Profinite Groups (with Jochen Gärtner)