# Talks

## Talks at conferences and workshops

- Geometric properties of Gevrey functions.
*Workshop on metric properties of subanalytic sets, Münster, September 1999.*

- Dirichlet problem on semianalytic domains.
*Spectre et espaces singulieres, Le Bourget-du-Lac, May 2000.*

- Dirichlet regularity in polynomially bounded o-minimal structures on
**R**.*RAAG 01, Rennes, June 2001.*

- Dirichlet regularity in polynomially bounded o-minimal structures on
**R**.*Metric geometry and singular spaces, Münster, September 2001.*

- Capacity density of subanalytic sets.

Reelle algebraische und analytische Geometrie, Mathematisches Forschungsinstitut Oberwolfach, March 2002.

- Energy and capacity in o-minimal structures.
*Fourth Annual Colloquiumsfest, University of Saskatchewan, Saskatoon, March 2003.*

- On convergence of integrals in o-minimal structures.
*Annual Network Conference RTN RAAG, Salamanca, June 2004.*

- An o-minimal version of the Riemann Mapping Theorem.
*Annual Network Conference RTN RAAG, Passau, September 2005.*

- An o-minimal version of the Riemann Mapping Theorem.

Workshop Topology of Real Algebraic Varieties; semi-algebraic, subanalytic and o-minimal Geometries, Institut Henri Poincaré, Paris, December 2005.

- An o-minimal version of the Riemann Mapping Theorem.

Canadian Mathematical Society Summer 2006 Meeting, Calgary, July 2006.

- Hilbert 16, Riemann Mapping Theorem and the Dirichlet Problem.

MODNET Mid-Term Conference, Antalya, November 2006.

- Hilbert 16, Riemann Mapping Theorem, Dirichlet problem and o-minimality.
*O-minimality: model theory and geometry. MODNET Conference, Haifa, September 2008.*

- On the resolution of singularities for power series with perturbation by logarithmic terms.
*Workshop on Finiteness Problems in Dynamical Systems. Fields Institute, Toronto, June 2009*

- Spherical blow up.
*O-minimal Structures and Real Analytic Geometry Retrospective Workshop. Fields Institute, Toronto, August 2011.*

- Integration of semialgebraic functions and antiderivatives of Nash functions.
*Emerging developments in Real Algebraic Geometry.**Otto-von-Guericke-Universität Magdeburg, February 2012.*

- Integration of semialgebraic functions and antiderivatives of Nash functions.
*Model Theory in Wroclaw 2012, Breslau, June 2012.*

- R-analytic functions.
*Naples-Konstanz Model Theory Days, Caserta, November 2013.*

- Lebesgue measure and integration theory on arbitrary real closed fields.
*Joint meeting of the German Mathematical Society (DMV) and the Polish Mathematical Society (PTM), Session Real Algebraic Geometry, applications and related topics, Poznan, September 2014.*

- Lebesgue measure and integration theory on arbitrary real closed fields.
*Model Theory Conference, Stellenbosch University, Stellenbosch, South Africa, March 2015.*

- Holomorphic extension of log-exp-analytic functions.
*Modern Trends in Complex Analysis, University of Würzburg, May 2015.*

- Lebesgue measure and integration theory on arbitrary real closed fields.
*Real Analytic Geometry and Trajectories of Vector Fields, Centre international de recontres mathématiques Luminy (Marseille), June 2015.*

- Integration on Nash manifolds over real closed fields and Stokes' theorem.
*O-Minimality and Applications, University of Konstanz, July 2015.*

- Lebesgue motivic invariants.
*Ordered Algebraic Structures and Related Topics, Centre international de recontres mathématiques Luminy (Marseille), October 2015.*

- Lebesgue measure and integration theory on the field of Puiseux series.
*Joint Mathematics meeting of the AMS and MAA, AMS-ASL Special Session Surreal Numbers, Seattle, January 2016.*

- Integration on real closed fields.
*Antalya Algebra Days XVIII, Sirince-Izmir-Turkey, May 2016.*

- O-minimal geometry.
*Tutorial at the Summer School in Tame Geometry. Konstanz, July 2016.*

- Piecewise Weierstrass preparation and division for o-minimal holomorphic functions.
*Workshop on Model Theory: From Fields to Hardy Fields, Fields Institute, Toronto, August 2016.*

- Lebesgue measure and integration theory for the semialgebraic category over the field of surreal numbers.
*Mini-Workshop: Surreal Numbers, Surreal Analysis, Hahn Fields and Derivations. Mathematisches Forschungsinstitut Oberwolfach, December 2016.*

- Asymptotics of parameterized exponential integrals given by Brownian motion on globally subanalytic sets.
*Model theory and applications to Geometry, Padova, September 2017.*

- Holomorphic extension of definable functions.
*GDMV-Tagung, Sektion Mathematische Logik, Paderborn, March 2018.*

- Logarithms, constructible functions and integration on non-archimedean models of the theory of the real field with restricted analytic functions with value groups of finite archimedean rank.
*Colloquium Logicum 2018, Bayreuth, September 2018.*

- Hardy Fields, o-minimal structures and connections to Hilbert 16.
*The 6th Franco-Japanese-Vietnamese Symposium on Singularities, Nha Trang Vietnam, September 2018.*

- Integration in non-archimedean subanalytic geometry.
*12*^{th}Panhellenic Logic Symposium, Anogeia, Crete, Greece, June 2019.

- Introduction to O-Minimality.
*International Student School-Conference Mathematical Spring 2019, HSE Nizhny Novgorod, February 2020.*

- Periods, Power Series, and integrated Algebraic Numbers.

The 23rd Midrasha Mathematicae: O-Minimality and its Applications in Diophantine Geometry and Hodge Theory.*Isreal Institute for Advanced Studies, The Hebrew University of Jerusalem, Israel, December 2022.*

- Periods, Power Series, and integrated Algebraic Numbers.
*Model Theory Conference, Bedlewo Conference Center, Poland, December 2022.*

- Tame Definable Analysis (Tutorial).
*Model Theory Workshop Wroclaw, September 2023.*

- Periods, Power Series, and Integrated Algebraic Numbers.
*Logic-Section DMV-Meeting, Ilmenau, September 2023.*

Periods, Power Series, and Integrated Algebraic Numbers.

*Model Theory Workshop Model theoretic aspects of the notion of independence and dimension, Research Institute for Mathematical Sciences, Kyoto, December 2023.*

## Talks at seminars

- Classical boundary value problems in real geometry.
*Oberseminar Analysis, University of Würzburg, February 2001.*

- Dirichlet regularity in polynomially bounded o-minimal structures on
**R**.

Logic Seminar, University of Wisconsin, Madison, October 2002.

- Dirichlet regularity in polynomially bounded o-minimal structures on
**R**.*Research Seminar in Logic, Wesleyan University, December 2002.*

- Definability results for the Poisson equation.

Geometry and Model Theory Seminar, Fields Institute, Toronto, September 2004.

- Definability results for the Poisson equation.

Séminaire Equations Différentielles et Théorie du Contrôle, Université de Bourgogne, Dijon, February 2005.

- An o-minimal version of the Riemann Mapping Theorem and the Dirichlet Problem.
*Model Theory Seminar, McMaster, Hamilton, October 2005.*

- Hilbert 16, Riemann Mapping Theorem, Dirichlet Problem and o-minimality.

Logic Seminar, University of Oxford, June 2006.

- Der Riemannsche Abbildungssatz, das Dirichletproblem und o-minimale Strukturen.
*Kolloquium, University of Regensburg, November 2006.*

- Complex analysis and o-minimal structures.
*Geometry and Model Theory Seminar, Ecole Normale Supérieure, Paris, October 2007.*

- Generation of o-minimal structures by quasianalytic classe.

Model Theory Seminar, University of Lyon, March 2008.

- O-minimale Strukturen. Wie durch Logik Analysis und Geometrie verbunden werden.
*University of Passau, April 2008.*

- Hilbert 16, Riemann Mapping Theorem, Dirichlet problem and o-minimality.

Logic and Model Theory Seminar, University of Illinois at Urbana-Champaign, September 2008.

- O-minimality of the transition map at non-resonant hyperbolic singularities.
*Thematic Program on O-minimal Structures and Real Analytic Geometry, Fields Institute, Toronto, January 2009.*

- The first order content of the Riemann mapping theorem.
*University of Illinois at Urbana-Champaign, January 2009.*

- Zahme Geometrie und Analysis.
*Oberseminar Geometrische Analysis, University of Frankfurt (Main), January 2010.*

- Der Riemannsche Abbildungssatz und zahme Geometrie.
*Oberseminar Funktionentheorie, University of Würzburg, February 2010.*

- Tame measures.
*Geometry and Model Theory Seminar, Fields Insitute, Toronto, September 2010.*

- Tame measures.
*Logic Seminar, University of Illinois at Urbana-Champaign, September 2010.*

- Tame measures.
*Logic Seminar, University of Oxford, January 2011.*

- Zahme Maße.
*Oberseminar Reelle Geometrie und Algebra, University of Konstanz, May 2011.*

- Integration and tameness.
*Colloquium, Istanbul Bilgi University, March 2012.*

- Ein algebraisch-geometrischer Riemannscher Abbildungssatz.
*University of Erfurt, July 2012.*

- Ein geometrischer Riemannscher Abbildungssatz.
*University of Würzburg, July 2012.*

- A very first step towards an algebraic understanding of the ring of analytic functions that are globally subanalytic.
*Logic Seminar, University of Illinois at Urbana-Champaign, November 2012.*

- Integration of semialgebraic functions and antiderivatives of Nash functions.
*Logic Seminar, McMaster, Hamilton, November 2012.*

- R-analytic functions.
*Model Theory Seminar, University of Lyon, March 2013.*

- Integration von semialgebraischen Funktionen und Stammfunktionen von Nashfunktionen.
*Seminar der Forschergruppe "Classification of Algebraic Surfaces and Compact Complexe Manifolds", University of Bayreuth, July 2013.*

- Real Geometry and Potential Theory.
*Analysis Seminar, University College Dublin, February 2015.*

- Lebesgue measure and integration theory on arbitrary real closed fields.
*Geometry and Model Theory Seminar, Ecole Normale Supérieure, Paris, March 2015.*

- Integration auf dem Kurvenraum und Lebesgue-motivische Invarianten.
*University of Konstanz, July 2015.*

- Real algebraic geometry and integration.
*Colloquium, FU Berlin, November 2015.*

- Piecewise Weierstrass preparation and division for o-minimal holomorphic functions.
*Model theory seminar, University of Konstanz, October 2016.*

- Lebesgue measure and integration theory on non-archemedean algebraically closed fields of characteristic 0.
*University of Luxembourg, December 2016.*

- Multivariate transseries.
*Logic Seminar, University of Oxford, March 2017.*

- A holomorphic extension theorem for log-exp-analytic functions.
*Séminaire de structures algébriques ordónnees. Université Paris Diderot. March 2017.*

- Asymptotics of parameterized exponential integrals given by Brownian motion on globally subanalytic sets.
*Logic Seminar, University of Illinois at Urbana-Champaign, September 2017.*

- Asymptotics of parameterized exponential integrals given by Brownian motion on globally subanalytic sets.
*Logic Seminar, University of California at Los Angeles, October 2017.*

- Asymptotics of parameterized exponential integrals given by Brownian motion on globally subanalytic sets.
*Model Theory Seminar, McMaster, Hamilton, November 2017.*

- Hardy Fields, o-minimal Structures and connections to Hilbert 16.
*Analysis Seminar, University of Vienna, May 2018.*

- Logarithms, constructible functions and integration on non-archimedean models of the theory of the real field with restricted analytic functions with value groups of finite archimedean rank.
*Oberseminar Mathematische Logik, University of Freiburg, November 2018.*

- Integration in non-archimedean subanalytic geometry.
*Geometry Seminar, Université Bordeaux, January 2019.*

- Logarithms, constructible functions and integration on non-archimedean models of the theory of the real field with restricted analytic functions with value groups of finite archimedean rank.
*Oberseminar Model Theory, University of Düsseldorf, March 2020.*

- Differentiability Properties of Log-Analytic Functions.
*Geometry and Model Theory Seminar, Fields Institute, Toronto, Online, July 2020.*

- Tame Analysis.
*Vorstellungsvortrag Universität der Bundeswehr München, November 2021.*

- Classes of Functions definable in R
_{an, exp}.

Logic Colloquium, University of Vienna, April 2022.

- Classes of Functions definable in R
_{an, exp}.*Lancashire Yorkshire Model Theory Seminar and South and East of England Model Theory Network,*

University of Manchester, June 2022.

- O-Minimality and Integration.
*Seminar Working Group Algebra, Algebraic Geometry and Number Theory,*

University of Freiburg, September 2022.

- Periods, Power Series, and Integrated Algebraic Numbers.
*Geometry and Model Theory Seminar, Fields Institute, Toronto, January 2023.*

- Periods, Power Series, and Integrated Algebraic Numbers.
*Seminar Geometry and Arithmetic of Uniformized Structures, University of Frankfurt, May 2023.*

- Analytic and Growth Properties of Log-Analytic Functions.
*Geometry Seminar Université Savoie Mont Blanc, January 2024.*

Semialgebraicity of the convergence domain of an algebraic power series.

*Model Theory Seminar, University of Vienna, March 2024.*Periods, Power Series, and Integrated Algebraic Numbers.

*Seminar Commutative Algebra & Differential Equations, University of Vienna, March 2024.*