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

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)