Prof. Dr. Kay Wingberg Mathematisches Institut
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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)
  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)