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-225

Please send any questions or comments to:

Teaching

This Fall Semester, I am teaching MTH 231 at the College of Staten Island. I'm also running the Set Theory Seminar at the CUNY Graduate Center. The nylogic server we used previously to announce upcoming events is unstable right now, so that I created a small temporary Set Theory Seminar Page for that purpose.

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. Club degrees of rigidity and almost Kurepa trees.
  Archive for Mathematical Logic. Online first, DOI: 10.1007/s00153-012-0306-7 (2012)
• Gunter Fuchs and Philipp Lücke. Iteratively changing the heights of automorphism towers.
  Notre Dame Journal of Formal Logic 53(2):155-174 (2012)
• Gunter Fuchs. λ-structures and s-structures: translating the iteration strategies.
  Annals of Pure and Applied Logic 162(9):710-751 (2011)
  Here is a preprint.
• Gunter Fuchs. λ-structures and s-structures: translating the models.
  Annals of Pure and Applied Logic 162(4):257-317 (2011)
  Here is a preprint.
• Gunter Fuchs. Generic embeddings associated to an indestructibly weakly compact cardinal.
  Annals of Pure and Applied Logic 162(1):89-105 (2010)
  Here is a preprint.
• Gunter Fuchs, Itay Neeman, and Ralf Schindler. A criterion for coarse iterability.
  Archive for Mathematical Logic 49(4):447-467 (2010).
  This article is also available electronically on SpringerLink (open access, DOI: 10.1007/s00153-010-0180-0). Clicking here takes you there.
• 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(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(2):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(1):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, Joel David Hamkins and Jonas Reitz. Set-theoretic geology.
  Submitted to the Annals of Pure and Applied Logic.
• Gunter Fuchs and Ralf Schindler. Mantles of inner models.
  In preparation.

Talks

• Constructing a Souslin almost Kurepa tree
  CUNY Set Theory Seminar, CUNY Graduate Center, New York.
  March 23, 2012.
• The Stationarity of the Collection of Local Aleph Ones
  CUNY Set Theory Seminar, CUNY Graduate Center, New York.
  February 24, 2012.
• On Changing Automorphism Tower Heights by Forcing
  Rutgers Logic Seminar, Rutgers University, New Jersey.
  February 20, 2012.
• Set-theoretic Geology and Canonical Inner Models
  CUNY Logic Workshop, CUNY Graduate Center.
  September 23, 2011.
• Mysteries of the Generic Multiverse
  Toronto Set Theory Seminar, Fields Institute, Toronto.
  August 19, 2011.
• Automorphisms of Souslin Trees
  Summer Conference on General Topology and its Applications, The City College of New York.
  July 27, 2011.
• An Application of Almost Disjoint Coding
  CUNY Set Theory Seminar, CUNY Graduate Center, New York.
  May 6, 2011.
• Structural Consequences of AD I+II
  CUNY Set Theory Seminar, CUNY Graduate Center, New York.
  September 3 and September 14, 2010.
• Iterated Ultrapowers and Inner Models of Measurability I+II
  CUNY Set Theory Seminar, CUNY Graduate Center, New York.
  April 23 and April 30, 2010.
• Reflections on the Structure of the Generic Multiverse
  Rutgers Logic Seminar, Rutgers University, New Jersey.
  March 29, 2010.
• Some recent forcing ideas
  Lecture series held at Universidad Autónoma Metropolitana, Unidad Iztapalapa in Mexico City.
  January 11 to January 15, 2010.
• An Invitation to Inner Model Theory
  CUNY Set Theory Seminar, CUNY Graduate Center, New York.
  November 6 to November 20, 2009.
• Set Theoretic Geology meets Inner Model Theory
  Mini-workshop on Fine Structure Theory, Oberwolfach, Germany.
  November 10, 2009.
• Maximality Principles and the Generic Multiverse
  CUNY Logic Workshop, CUNY Graduate Center, New York.
  September 25, 2009.
• 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.
  Set Theory Seminar, The CUNY Graduate Center, 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
• December 2011: Joined the doctoral faculty at the Ph.D. Program in Mathematics of the CUNY Graduate Center
• Starting September 2009: Assitant Professor at CSI / CUNY
• July 22, 2009: Habilitation
• Dec. 2004 - August 2009: Assistant Professor at Münster University (German wissenschaftlicher Assistent), 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)