Patrick Speissegger - McMaster Experts

Affiliations

Faculty of Science, McMaster University
Professor, Mathematics and Statistics, Faculty of Science

Scholarly Activity in McMaster Experts

Co-author Network

co-investigator network

Co-investigator Network

Scholarly Activity
Research
Teaching
Background
Contact
View All

selected scholarly activity

books
- Lecture Notes on O-Minimal Structures and Real Analytic Geometry. Ed. 62. 2012
chapters
- Pfaffian Sets and O-minimality. Fields Institute Communications. 179-218. 2012
conferences
- Adding Multiplication to an O-minimal Expansion of the Additive Group of Real Numbers. LOGIC COLLOQUIM '98. 357-362. 2017
journal articles
- Multisummability for generalized power series. Canadian Journal of Mathematics. 76:458-494. 2024
- Expansions of the Real Field by Canonical Products. Canadian Mathematical Bulletin. 63:506-521. 2020
- Ilyashenko algebras based on transserial asymptotic expansions. Advances in Mathematics. 367:107095-107095. 2020
- Analytic continuations of log-exp-analytic germs. Transactions of the American Mathematical Society. 371:5203-5246. 2019
- O-Minimality and its Applications to Number Theory and Analysis. Oberwolfach Reports. 14:1349-1420. 2018
- Limit cycles of planar vector fields: Hilbert's 16th problem and o-minimality 2018
- Trajectories in interlaced integral pencils of 3-dimensional analytic vector fields are o-minimal. Transactions of the American Mathematical Society. 370:2211-2229. 2018
- Quasianalytic Ilyashenko Algebras. Canadian Journal of Mathematics. 70:218-240. 2018
- Non-interlaced solutions of 2-dimensional systems of linear ordinary differential equations. Proceedings of the American Mathematical Society. 141:2429-2438. 2013
- Hausdorff limits of Rolle leaves. Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas. 107:79-89. 2013
- Preface. Neurosurgery Clinics of North America. 23:xiii-xiii. 2012
- Expansions of the real field by open sets: definability versus interpretability. Journal of Symbolic Logic (JSL). 75:1311-1325. 2010
- The theorem of the complement for nested sub-Pfaffian sets. Duke mathematical journal. 155:35-90. 2010
- Definisable Haefliger's Type Theorem. Asterisque. 197-221. 2009
- Transition maps at non-resonant hyperbolic singularities are o-minimal. Journal für die Reine und Angewandte Mathematik. 2009:1-45. 2009
- An ordered structure of rank two related to Dulac's Problem. Fundamenta Mathematicae. 198:17-60. 2008
- A geometric proof of the definability of Hausdorff limits. Selecta Mathematica, New Series. 10:377-390. 2004
- Quasianalytic Denjoy-Carleman classes and o-minimality. Journal of The American Mathematical Society. 16:751-777. 2003
- Differential equations over polynomially bounded o-minimal structures. Proceedings of the American Mathematical Society. 131:175-183. 2002
- Pfaffian differential equations over exponential o-minimal structures. Journal of Symbolic Logic (JSL). 67:438-448. 2002
- The Field of Reals with Multisummable Series and the Exponential Function. Proceedings of the London Mathematical Society. 81:513-565. 2000
- Analytic stratification in the Pfaffian closure of an o-minimal structure. Duke mathematical journal. 103:215-231. 2000
- The Pfaffian closure of an o-minimal structure. Journal für die Reine und Angewandte Mathematik. 1999:189-211. 1999
- Expansions of the real line by open sets: o-minimality and open cores. Fundamenta Mathematicae. 162:193-208. 1999
- The real field with convergent generalized power series. Transactions of the American Mathematical Society. 350:4377-4421. 1998
- Fiberwise properties of definable sets and functions in o-minimal structures. Manuscripta Mathematica. 86:283-291. 1995
- Generating the Pfaffian closure with total Pfaffian functions. Journal of Logic and Analysis. 1-6.
preprints
presentations
- Nested Pfaffian functions 2023