Math 4L03: Introduction to Mathematical Logic, Fall 2014.

Math 712: O-minimal structures, Winter 2015.

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.

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 )

**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**(with Chris Miller)**R**_{an}by trajectories of analytic planar vector fields- Preliminary version, December 2006.
**Compactness of cycle spaces and definability in o-minimal expansions of**(with Rahim Moosa and Sergei Starchenko)**R**_{an}- 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)

- Sanjay Patel (McMaster)
- Zeinab Galal (McMaster)

- Sergio Fratarcangeli (McMaster, Ph.D. 2006). Current position: John Abbott College
- Dan Miller (UW, Ph.D. 2003). Current position: Assistant Professor at Emporia State University
- Serge Randriambololona (Université de Savoie, D. Phil. 2005; co-advised with Krzysztof Kurdyka). Current position: ATER at the Université de Rennes 1, France
- Elisa Vasquez (UW, Ph.D. 2006). Current Position: Professor at the Universidad de Talca, Chile

- Martin Bays (DPhil. 2009, Oxford University)
- Omar Leon Sanchez (Ph.D. 2013, University of Waterloo)

- Salih Azgin (Ph.D. 2007, University of Illinois at Urbana-Champaign). Current position: Assistant Professor at Northern Cyprus METU
- Libor Barto (Ph.D. 2006, Charles University in Prague, Czech Republic). Current position: Assistant professor, Department of Algebra, Charles University in Prague, Czech Republic
- Alf Dolich (2003-06). Current position: Assistant Professor at Kingsborough Community College, Brooklyn NY
- Dragos Ghioca (2005-07). Current position: Assistant Professor at the University of British Columbia
- Philipp Hieronymi (2009), under a fellowship by the Deutscher Akademischer Austauschdienst. Current position: J. L. Doob Research Assistant Professor at the University of Illinois at Urbana-Champaign.
- Jana Marikova (2008-09 and 2010-11). Current position: Assistant Professor at Western Illinois University
- Gareth Owen Jones (2006-08). Current position: EPSERC Mathematics Postdoctoral Fellow at the University of Manchester
- David Lippel (2001-04). Current position: Visiting Assistant Professor and Lab Coordinator for Mathematics at Haverford College
- Yoav Yaffe (2003-06).

Last modified: Tue Nov 25 2014 Patrick Speissegger