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Institut fü Mathematische Logik und Grundlagenforschung
Einsteinstraße 62
48149 Münster
Tel.: +49-251-83-33 790
Fax: +49-251-83-33 078
pfeifer@math.uni-muenster.de

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Gunter Fuchs

Gunter Fuchs

Address:
Westfälische Wilhelms-Universität
Institut für Mathematische Logik und Grundlagenforschung
Einsteinstraße 62
48149 Münster, Germany

Tel.: +49 251 8333762
Room Number: 813
Office hours: Thursday, 12:00 and by appointment

Please send any questions or comments to:


Teaching

In Summersemester 2009, I am teaching the lecture course Logic I. The problem sessions are on Friday at 16:00, in SR7. I am writing a script for this course which can be downloaded here. I will update it regularly.

We are also continuing the project seminar Algebra and Logic, joint with the university of Duisburg/Essen. More information on when it is taking place, what's on the agenda, and relevant material can be found on the project seminar webpage.

Last semester, I was doing the problem sessions for the introduction to computability lecture course.

I am one of the organizers of the Young Set Theory Workshop 2009 which took place in Bellaterra, near Barcelona, April 14-18 2009.

In Wintersemester 2007/2008, I taught a lecture course on Set Theory. I wrote a rudimentary script of the lecture, which you can download here. If you find typos in the notes, please let me know.

I also taught seminar on Stationary Tower Forcing, together with Philipp Schlicht.
The picture on the right was taken at the beginning of the seminar's last session on carnival. More pictures...

Previously taught courses can be found here.

Here is an interesting offer for Shelah's book on proper and improper forcing that I came across in November 2008...


Now everybody nose the Stationary Tower.


Research Interests

  Set Theory
  Inner Model Theory
  Forcing, Forcing Axioms
  Applications of Set Theory in Algebra


Publications and Preprints

Please note that most of the preprints that are available here differ from the published versions.

  Gunter Fuchs. Combined Maximality Principles up to Large Cardinals.
Journal of Symbolic Logic 74(3):1015-1046 (2009)
Here is a preprint.
  Gunter Fuchs and Joel David Hamkins. Degrees of rigidity for Souslin trees.
Journal of Symbolic Logic 74(2):423-454 (2009)
Here is a preprint published at the ArXiv under eprint math.LO/0602482.
  Gunter Fuchs. Successor Levels of the Jensen Hierarchy.
Mathematical Logic Quarterly 55, No. 1, 53-69 (2009)
Here is a preprint.
  Gunter Fuchs and Joel David Hamkins. Changing the heights of automorphism towers by forcing with Souslin trees over L.
Journal of Symbolic Logic 73(02):614-633 (2008).
Here is a preprint published at the ArXiv under eprint math.LO/0702768.
  Gunter Fuchs. Closed maximality principles: Implications, Separations and Combinations.
Journal of Symbolic Logic 73(01):276-308 (2008).
Here is a preprint.
  Gunter Fuchs. A Characterization of generalized Příkrý sequences.
Archive For Mathematical Logic 44(8):935-971 (2005).
  Gunter Fuchs. λ-Strukturen und s-Strukturen.
Dissertation (in German). Published online. 297p. (2003).
  Gunter Fuchs, Itay Neeman, and Ralf Schindler. A criterion for coarse iterability.
19p. Submitted to the Archive for Mathematical Logic.
Here is a preprint.
  Gunter Fuchs. Generic Embeddings associated to an indestructibly weakly compact cardinal.
Ca. 30 pages. Submitted to the Annals of Pure and Applied Logic.
Here is a preprint.
  Gunter Fuchs. λ-structures and s-structures: Translating the models.
Ca. 90 pages. Submitted to the Annals of Pure and Applied Logic.
Here is a preprint.
  Gunter Fuchs. λ-structures and s-structures: Translating the iteration strategies.
Ca. 70 pages. Submitted to the Annals of Pure and Applied Logic.
Here is a preprint.
  Gunter Fuchs, Joel David Hamkins and Jonas Reitz. Set Theoretic Geology.
In preparation.
  Gunter Fuchs and Philipp Lücke. Iteratively changing the heights of automorphism towers.
Ca. 15 pages. In preparation.
  Gunter Fuchs, Joel David Hamkins and Benedikt Löwe. The modal logic of collapse forcings.
In preparation.


Invited talks

  Fixpunkte: Eine fixe Idee in der Mathematik
Talk at the Lange Nacht der Mathematik, Münster University. This talk was aimed at a general audience of non-mathematicians.
May 30, 2008. Due to public request, this talk can be downloaded in pdf format.
  Closed Maximality Principles, Large Cardinals, etc.
Lecture at the Set Theory Seminar of the Graduate Center of the City University New York,
February 29, 2008.
  From Maximality Principles Via Weak Compactness to Generic Embeddings
Young Set Theory workshop in Bonn, Germany,
January 24, 2008.
  Aspects of Indestructible Weak Compactness
Set Theory Workshop 2008 at the Mathematical Research Institute Oberwolfach, Germany,
January 15, 2008.
  Maximality Principles for Closed Forcings
Logic Colloquium 2007 in Wroclaw, Poland
July 18, 2007. Due to public request, this talk can be downloaded in pdf format.
  Closed Maximality Principles and Large Cardinals
First European Set Theory Meeting in Bedlewo, Poland
July 12, 2007. This talk can also be downloaded in pdf format.
  Maximality Principles for Closed Forcings
Lecture at the Set Theory Seminar in Bonn, Germany
April 10, 2007.
  Degrees of Rigidity and Changing the Heights of Automorphism Towers
Colloquium Logicum 2006/Annual Meeting of the German Mathematicians' Association in Bonn, Germany
September 22, 2006
  Degrees of Rigidity for Souslin Trees
Mini-Workshop on Fine Structure and Inner Models at the Mathematical Research Institute Oberwolfach, Germany
May 1, 2006.
  λ-Structures and s-Structures
Lecture at the Computational Prospects of Infinity program at the National University of Singapore
July 8, 2005.
  Degrees of Rigidity for Souslin Trees
Lecture at the Computational Prospects of Infinity program at the National University of Singapore
June 24, 2005.
  λ-Strukturen und s-Strukturen
Berlin-Potsdam Logic Colloquium, Berlin, Germany
December 9, 2002
  Mitchell-Steel Mice versus Friedman-Jensen Mice
Mini-Workshop on Fine Structure Theory at the Mathematical Research Institute Oberwolfach, Germany
February 26, 2001
  Characterizing Generalized Příkrý Sequences
Lecture at the Set Theory Seminar, Bonn University, Germany
June 29, 2000
  A Generalization of Příkrý Forcing
Berlin-Potsdam Logic Colloquium, Berlin, Germany
on January 10, 2000.


Vitae

  Born on October 19, 1972 in Västanfors, Sweden
  Dec. 2004 - present: Assistant Professor at Münster University, Germany
  June 2003: Received Ph. D. in Mathematics, supervisor: Ronald Jensen (Humboldt University Berlin)
  Oct. 1998 - November 2004: DFG fellow in Berlin/Münster
  Sept. 1998: Received Diploma (M. Sc.) in Mathematics (Humboldt University Berlin)
  Oct. 1995 - Sept. 1998: Graduate Assistant (Humboldt University Berlin)

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