Patrick Speissegger

Associate Professor and Canada Research Chair

Department of Mathematics & Statistics
McMaster University
1280 Main Street West
Hamilton, Ontario L8S 4K1
Canada

Office: HH 409A
phone: (905) 525-9140 ext. 23430

e-mail: speisseg at math dot mcmaster dot ca

Teaching

I am on sabbatical leave for the academic year 2009-10.
Winter 2009: As part of the thematic program in o-minimal structures and real analytic geometry at the Fields Institute in Toronto, three graduate courses were taught. The lecture notes for my portion of these courses can be found here. Last update: February 4, 2010 (updated references). Comments are welcome!


Research

I work in model theory, o-minimal structures and real analytic geometry (more details). I was one of the organizers of a thematic program in o-minimal structures and real analytic geometry at the Fields Institute in Toronto from January to June 2009.


Recent Publications and Preprints

Some of the published papers are only accessible with a subscription. Reprints are available from me upon request. Preprints are in pdf format.

An ordered structure of rank two related to Dulac's Problem (with Alf Dolich)
Fund. Math. 198 (2008), no. 1, 17--60.

Un théorème de type Haefliger définissable (with Jean-Marie Lion),
in: Differential Equations and Singularities. 60 years of J.M.Aroca, Felipe Cano Torres (editor), Astérisque 323 (2009).

Transition maps at non-resonant hyperbolic singularities are o-minimal (with Tobias Kaiser and Jean-Philippe Rolin),
J. Reine Angew. Math. 636 (2009), 1--45.

The theorem of the complement for sub-Pfaffian sets (with Jean-Marie Lion)
Preprint, November 2009; to appear in Duke Math. J.

Expansions of the real field by open sets: definability versus interpretability (with H. Friedman, K. Kurdyka and C. Miller)
Preprint, December 2009; to appear in J. Symbolic Logic.


(All publications and preprints )


Unpublished notes and slides


The Borel Lemma for o-minimal expansions of real closed fields
Draft, February 2010.

A trichotomy for expansions of Ran by trajectories of analytic planar vector fields (with Chris Miller)
Preliminary version, December 2006.

Compactness of cycle spaces and definability in o-minimal expansions of Ran (with Rahim Moosa and Sergei Starchenko)
Preprint, July 2005.

Slides from my tutorial talk at the Euroconference in Model Theory and Applications in Ravello (in postscript format)

Slides from my tutorial talk at the RAAG summer school on o-minimal structures in Lisbon (in postscript format)
NOTE: a rectification concerning one of the applications has been added (July 30, 2003)

Students

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Postdocs of the Model Theory group at McMaster

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Patrick Speissegger
Last modified: Tue Feb 09 2010