Forschungsgebiete

• Arithmetik von Körpern
• Galoistheorie
• Bewertungstheorie
• algebraische und arithmetische Geometrie
• Anabelsche Geometrie
• Modelltheorie von Körpern
• Codierungstheorie
• Entscheidbarkeit
• lokale Körper

Papers

1. Birational anabelian geometry over almost arbitrary fields, to appear in: Y. Tschinkel (ed.) Seminars 2004, Mathematisches Institut Göttingen.
   http://www.uni-math.gwdg.de/tschinkel/SS04/koenigsmann2.pdf
    
   
2. A Galois code for valuations, to appear in: Y. Tschinkel (ed.) Seminars 2004, Mathematisches Institut Göttingen.
   http://www.uni-math.gwdg.de/tschinkel/SS04/koenigsmann1.pdf
    
   
3. Projective extensions of fields (with applications to the inverse Galois problem and the Leopoldt conjecture), 2004, submitted to J. London Math. Soc.
   http://math.usask.ca/fvk/Valth.html
    
   
4. Products of absolute Galois groups, to appear in Int. Math. Res. Not. 2005,
   http://math.usask.ca/fvk/Valth.html
    
   
5. Regularly closed fields and relatively projective groups (with A. Prestel and J. Schmid), 2003.
    
   
6. The regular inverse Galois problem over non-large fields, J. European Mathematical Society 6(4), 2004, 425-434.
    
   
7. On the section conjecture in anabelian geometry, to appear in J. reine angew. Math.
   http://arXiv.org/math.AG/0305226
    
   
8. Defining transcendentals in function fields, Journal of Symbolic Logic 67(3), 2002, 947-956.
    
   
9. Elementary characterization of fields by their absolute Galois group, in: Siberian Advances in Mathemtics 14(3), 2004, 1-26.
   http://math.usask.ca/fvk/Valth.html
    
   
10. Encoding valuations in absolute Galois groups, Fields Institute Communications 33, 2003, 107-132.
    http://math.usask.ca/fvk/koenproc.ps
     
    
11. Relatively projective groups as absolute Galois groups, Israel Journal of Math. 127, 2002, 93-129.
     
    
12. Free products of absolute Galois groups (with D.Haran, M.Jarden), preprint, 2000.
     
    
13. Solvable absolute Galois groups are metabelian, Invent. math. 144, 2001, 1-22.
     
    
14. Elementary characterization of fields by their absolute Galois group, Habilitationsschrift, Konstanz 1998.
     
    
15. Pro-p Galois groups of rank ≤ 4, manuscr.math. 95, 1998, 251-271.
     
    
16. Galois-theoretic characterization of p-adic fields, in Proceedings of the joint AMS-IMU meeting in Jerusalem, May 1995.
     
    
17. Abelian subgroups of pro-p-Galois groups (with A.J.Engler), Trans. AMS 350(6), 1998, 2473-85.
     
    
18. On the Galois-theoretic nature of valued fields, preprint, 1995.
     
    
19. From p-rigid elements to valuations (with a Galois-characterization of p-adic fields), J.reine angew. Math. 465, 1995, 165-182.
     
    
20. Definable valuations, Prépublications de l'Equipe de Logique No. 54, 1995; also to appear in Journal of Algebra.
     
    
21. p-henselian fields, manuscr. math. 87, 1995, p.89-99; also in: Atas da XIII Escola de Algebra, ed. by A.J.Engler, IMECC-UNICAMP, 1995.
     
    
22. Half-ordered fields, Dissertation, Konstanz, 1993.
     
    
23. On a generalized Artin-Schreier theorem for real-maximal fields (with Ido Efrat), Illinois J.Math. 37 (3), 1993, p.477-488.
     
    
24. Diplomarbeit zur Artin-Schreier-Theorie und Modelltheorie halbgeordneter Körper, Konstanz, 1987.