|
|
|
Gunter Fuchs
Address:
The College of Staten Island / CUNY
Department of Mathematics
2800 Victory Boulevard
Staten Island, NY 10314
Tel.: 718-982-4182
Room Number: 1S-221
Office hours:
Monday 1:25-2:15
Wednesday 1:25-2:15
Thursday 12:20-1:10
|
Please send any questions or comments to:
Teaching
I am currently teaching MTH 113, an introduction to probability and statistics.
Here is some material for the computer lab sessions accompanying this course.
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
-
The Solovay Model
Talk at my Habilitation Colloquium, Münster University. This talk was aimed at general mathematicians.
July 22, 2009. By giving this talk, I completed my Habilitation.
-
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
January 10, 2000.
Vitae
- Born on October 19, 1972 in Västanfors, Sweden
- Starting September 2009: Assitant Professor at CSI / CUNY
- July 22, 2009: Habilitation
- Dec. 2004 - August 2009: 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)