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

Fall 2008: Real Analysis (Math 721)
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 are taught. These courses can be taken for credit by McMaster graduate students! The lecture notes for my portion of these courses can be found here.


Research

My interests

Model theory, o-minimal structures and real analytic geometry (more details). I am 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 links below for published papers are only accessible with a subscription; reprints are available from me upon request. Preprints are in pdf format.)

The theorem of the complement for sub-Pfaffian sets (with Jean-Marie Lion)
Preprint, March 2009.

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

Transition maps at non-resonant hyperbolic singularities are o-minimal (with Tobias Kaiser and Jean-Philippe Rolin)
Preprint, December 2006. To appear in J. Reine Angew. Math.

Un théorème de type Haefliger définissable (with Jean-Marie Lion)
Preprint, July 2007. To appear in Astérisque publications.

Expansions of the real field by open sets: definability versus interpretability (with H. Friedman, K. Kurdyka and C. Miller)
Preprint, November 2008.


(All publications and preprints )

Unpublished notes and slides:


The Borel Lemma for o-minimal expansions of real closed fields
Draft, October 2009.

A trichotomy for expansions of Ran by trajectories of analytic planar vector fields (with Chris Miller)
Preliminary version, January 2005.

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

Current

Previous

Postdocs of the Model Theory group at McMaster

Current

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Patrick Speissegger
Last modified: Tue Oct 06 2009