Martin ZemanAssociate Professor, Mathematics |
|
Research Interests |
Logic/Set Theory | |
| URL | www.math.uci.edu/~mzeman | |
|
Academic Distinctions |
Fellowship at the Institute for Advanced Study Berlin (Wissenschaftskolleg zu Berlin, Berlin, Germany, 2005/2006 Dervorguilla Scholarship, University of Oxford, Great Britain 1993/1994 Soros/FCO Scholarship, University of Oxford, Great Britain 1992/1993 |
|
| Appointments |
2001 - present: Assistant Professor, UC Irvine 1999 - 2001: Assistant Professor, Universitat Wien, Vienna, Austria 1998 - 1999: Research Fellow, Hubmoldt Universitat zu Berlin, Germany 1997 - 1998: Research Fellow, Friedrich Wilhelms Universitat Bonn, Germany |
|
|
Research Abstract |
My research interests focus on set theory with emphasis on inner model theory, infinitary combinatorics, large cardinals and forcing. Most of my results are concern analysis of the internal structure and combinatorics of fine structural extender models that generalize Jensen's analysis of the constructible universe, and computing lower bounds for the consistency strength of infinitary combinatrial principles. Recently I began to work on forcing constructions that yield possibly optimal upper bounds for consistency strength of infinitary combinatorial principles (such as Jensen's square) as well as on applications of inner model theory in descriptive set theory. | |
| Publications | Fine Structure Theory, chapter in Handbook of Set Theory (Foreman, Kanamori and Magidor, eds.), to appear (with R. D. Schindler) | |
| Cardinal transfer properties in extender models, to appear in Annals of Pure and Applied Logic (With E. Schimmerling) | ||
| Dodd parameters and $\lambda$-indexing of extenders, Journal of Mathematical logic 4(1), 73-108 | ||
| Characterization of $\square_\kappa$ in core models, Journal of Mathematical Logic 4(1) (2004), 1-72 (with E. Schimmerling) | ||
|
Deconstructing inner model theory, Journal of Symbolic Logic 67(2) (2002), 721--736 (with R. D. Schindler and J. R. Steel) |
||
|
Inner models and large cardinals, de Gruyter Series in Logic and its Applications 5, de Gruyter, Berlin 2002 |
||
|
Square in core models, Bulletin of Symbolic Logic 7(3) (2001), 305-314 (with E. Schimmerling) |
||
| $\Diamond$ at Mahlo cardinals, Journal of Symbolic Logic 65(4) (2000), 1813-1822 | ||
| Smooth categories and global square, Annals of Pure and Applied Logic 102(1-2) (2000), 101-138 (with R. B. Jensen) | ||
| WQO, antichains and somewhere continuous embeddings of transfinite sequences, Bulletin of the Polish Academy of Sciences 40(2) (1992), 129--136 | ||
| Grants | NSF grant DMS-0500799 | |
| NSF Grant DMS-0204728 | ||
| Link to this profile | http://www.faculty.uci.edu/profile.cfm?faculty_id=4838 | |
| Last updated | 10/02/2007 | |