Tame Geometry, Transseries and Applications to Analysis and Geometry

Tame control theory
Expanding the Ordered Group of Integers by Beatty Sequences
Tameness beyond o-minimality
Introduction to o-minimality and the Pila-Wilkie Theorem
Primitives of algebraic functions
Parametrizations and complexity of preparation
Towards an algebraic independence result for certain p -adic series.
Surreal numbers and transseries lecture #1
Techniques of resolution of singularities in quasianalytic classes lecture #1
Transseries, Model Theory, and Hardy Fields lecture 1
O-minimality and the Pila-Wilkie Theorem Lecture #1
Surreal numbers and transseries lecture #2
Transseries, Model Theory, and Hardy Fields Lecture #2
Techniques of resolution of singularities in quasianalytic classes
O-minimality and the Pila-Wilkie Theorem Lecture #2
Surreal numbers and transseries lecture #3
Techniques of resolution of singularities in quasianalytic classes lecture #3
Transseries, Model Theory, and Hardy Fields Lecture #3
Surreal Ordered Exponential Fields
O-minimality and the Pila-Wilkie Theorem Lecture #3
Transseries, Model Theory, and Hardy Fields Lecture #4
Surreal numbers and transseries lecture #4
Techniques of resolution of singularities in quasianalytic classes Lecture #4
O-minimality and the Pila-Wilkie Theorem Lecture #4
Surreal numbers and transseries lecture #5
Techniques of resolution of singularities in quasianalytic classes lecture #5
Transseries, Model Theory, and Hardy Fields Lecture #5
On the Pila-Wilkie theorem
O-minimality and the Pila-Wilkie Theorem Lecture #5
Surreal numbers and transseries lecture #6
Transseries, Model Theory, and Hardy Fields Lecture #6
Techniques of resolution of singularities in quasianalytic classes lecture #6
O-minimality and the Pila-Wilkie Theorem Lecture #6
Surreal numbers and transseries lecture #7
Techniques of resolution of singularities in quasianalytic classes lecture #7
Transseries, Model Theory, and Hardy Fields Lecture #7
Schwartz functions on definable (and other) domains
O-minimality and the Pila-Wilkie Theorem Lecture #7
Surreal numbers and transseries lecture #8
Transseries, Model Theory, and Hardy Fields Lecture #8
Techniques of resolution of singularities in quasianalytic classes lecture #8
O-minimality and the Pila-Wilkie Theorem Lecture #8
New techniques for the resolution of singularities of vector fields and differential operators #1
Tame control theory lecture #1
Transseries, Model Theory, and Hardy Fields Lecture #9
Lessons from early-stage COVID-19 outbreak dynamics in Gauteng province, South Africa
Complex analysis in o minimal expansions of real closed fields lecture #1
New techniques for the resolution of singularities of vector fields and differential operators #2
Transseries, Model Theory, and Hardy Fields Lecture #10
Tame control theory lecture #2
Complex analysis in o minimal expansions of real closed fields lecture #2
Transseries, Model Theory, and Hardy Fields lecture #11
Holomorphic extensions in the structure Ran,exp
New techniques for the resolution of singularities of vector fields and differential operators #4
Complex analysis in o minimal expansions of real closed fields lecture #3
New techniques for the resolution of singularities of vector fields and differential operators #4
Transseries, Model Theory, and Hardy Fields Lecture #12
Tame control theory lecture #3
Complex analysis in o minimal expansions of real closed fields lecture #4
New techniques for the resolution of singularities of vector fields and differential operators #5
Tame control theory lecture #4
Transseries, Model Theory, and Hardy Fields Lecture #13
On Rayner Structures
Complex analysis in o minimal expansions of real closed fields lecture #5
New techniques for the resolution of singularities of vector fields and differential operators #6
Transseries, Model Theory, and Hardy Fields Lecture #14
Tame control theory lecture #5
Complex analysis in o minimal expansions of real closed fields lecture #6
New techniques for the resolution of singularities of vector fields and differential operators #7
Tame control theory lecture #6
Transseries, Model Theory, and Hardy Fields Lecture #15
Equisingular algebraic approximation of analytic germs
New techniques for the resolution of singularities of vector fields and differential operators #8
Complex analysis in o minimal expansions of real closed fields lecture #7
Transseries, Model Theory, and Hardy Fields Lecture #16
Tameness beyond o-minimality lecture #1
Complex analysis in o minimal expansions of real closed fields lecture #8
Hilbert 16th problem and o-minimality lecture #1
Tameness beyond o-minimality lecture #2
Transseries, Model Theory, and Hardy Fields Lecture #17
Embedding Hardy fields with composition into generalized power series
Applications of o-minimality to Hodge Theory Lecture #1
Hilbert 16th problem and o-minimality lecture #2
Transseries, Model Theory, and Hardy Fields Lecture #18
Tame control theory lecture #7
Applications of o-minimality to Hodge Theory Lecture #2
Hilbert 16th problem and o-minimality lecture #3
Tameness beyond o-minimality lecture #3
Transseries, Model Theory, and Hardy Fields Lecture #19
Stratified Resolution of Singularities of Generalized Analytic Functions
Applications of o-minimality to Hodge Theory Lecture #3
Hilbert 16th problem and o-minimality lecture #4
Transseries, Model Theory, and Hardy Fields Lecture #20
Tameness beyond o-minimality lecture #4
Applications of o-minimality to Hodge Theory Lecture #4
Tameness beyond o-minimality lecture #5
Hilbert 16th problem and o-minimality lecture #5
Transseries, Model Theory, and Hardy Fields Lecture #21
Decomposing definable groups
Hilbert 16th problem and o-minimality lecture #6
Applications of o-minimality to Hodge Theory Lecture #5
Transseries, Model Theory, and Hardy Fields Lecture #22
Tameness beyond o-minimality lecture #6
Applications of o-minimality to Hodge Theory Lecture #6
Hilbert 16th problem and o-minimality lecture #7
Tameness beyond o-minimality lecture #7
Transseries, Model Theory, and Hardy Fields Lecture #23
Classifications of Dulac germs
Applications of o-minimality to Hodge Theory Lecture #7
Hilbert 16th problem and o-minimality lecture #8
Transseries, Model Theory, and Hardy Fields Lecture #24
Tameness beyond o-minimality lecture #8
Applications of o-minimality to Hodge Theory Lecture #8
Gluing together definable sets
Normal forms for logarithmic transseries
Finiteness theorems for limit cycles part 1
Finiteness theorems for limit cycles part 2
Finiteness theorems for limit cycles part 3
Multipoint Julia theorems
Nonlinear conditions for differentiability by almost analytic extension
Bounding the lenght of the first non-zero Melnikov function
Wilkie's conjecture for Pfaffian structures
Wastewater-Based Modelling to Support COVID-19 Surveillance
Superexact asymptotic series and monodromy maps of the polycycles
Fourier transform of subanalytic functions
What does an orbit tell about a parabolic diffeomorphism?
Complex cells and preparation theorems
Holomorphic continuation of R_an,exp - germs: the missing lecture
Rigidity of saddle loops
Toward a unification of infinities
Formal linearization of logarithmic transseries and analytic linearization of Dulac germs
Some remarks on the complex exponential field
o-minimal EXP-fields and Schanuel's conjecture
Towards Reduction of Singularities of Generalized Analytic Functions
An overview of the metric/geometric version of Zariski's multiplicity conjecture
Arc-wise analytic stratification
Torsion Points on Families of Abelian Varieties
Real closed fields, Peano Arithmetic and saturation properties
Dichotomy interlacement versus Hardy in definable ODE's
Semi-analytic locus of a subanalytic set
Action of a group of local diffeomorphisms on the space of curves
The automorphism group of a valued field of generalised formal power series
Local Invariant hypersurfaces for codimension one foliations. The dicritical case
Triangulation of semi-algebraic p-adic sets
Partial desingularization
Towards a description of the algebraic closure of multivariate power series
Strongly linear maps on bounded Hahn fields: applications to derivations, logarithms, automorphisms
Generalised power series determined by linear recurrence relations
Transseries and discrete dynamical systems