Patrick Speissegger

Professor and Associate Chair (Graduate)

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

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

e-mail: speisseg at math dot mcmaster dot ca


Math 4L03: Introduction to Mathematical Logic, Fall 2014.
Math 712: O-minimal structures, Winter 2015.

Associate Chair (Graduate)

Here are the slides for my presentation on Grad Info Night


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.

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)
Duke Math. J. 155, No. 1 (2010), pp. 35--90.

Expansions of the real field by open sets: definability versus interpretability (with H. Friedman, K. Kurdyka and C. Miller)
J. Symbolic Logic 75, No. 4 (2010), pp. 1311--1325.

Generating the Pfaffian closure with total Pfaffian functions (with Gareth Jones).
J. Log. Anal. 4 (2012), Paper 5, 6 pp.

Pfaffian sets and o-minimality
Lecture notes on o-minimal structures and real analytic geometry, Fields Inst. Commun., 62, Springer, New York (2012), pp. 179--218.

Non-interlaced solutions of 2-dimensional systems of linear ordinary differential equations (with Olivier Le Gal and Fernando Sanz)
Proc. Amer. Math. Soc. 141 (2013), no. 7, pp. 2429--2438.

Hausdorff limits of Rolle leaves (with Jean-Marie Lion)
Rev. R. Acad. Cienc. Exactas Fis. Nat. Ser. A Math. RACSAM 107 (2013), no. 1, pp. 79--89.

Trajectories in interlaced integral pencils of 3-dimensional analytic vector fields are o-minimal (with Olivier Le Gal and Fernando Sanz)
Preprint, October 2013.

(All publications and preprints )

Unpublished notes and slides

O-minimal structures. An introduction to o-minimality, taught at the MALOA model theory semester in Lyon.
Second preliminary version (last chapter corrected), 25 April 2011.

The Borel Lemma for o-minimal expansions of real closed fields
Draft, January 2011.

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)




Postdocs of the Model Theory group at McMaster



Last modified: Thu Jul 03 2014
Patrick Speissegger