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 Office hours: Monday and Wednesday from 11 to 12, Thursday from 12 to 1.

Please send any questions or comments to:

Teaching

This Spring Semester, I am teaching MTH 350 at the College of Staten Island and MATH 71200 at the Graduate Center.

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 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)