Below you find my list of talks and lectures, including pdfs of the slides. Behind the links more information (including **video recordings** if available)

## Recent and upcoming talks

- Geometry emerging from spectra. UC Berkeley Math Colloquium (April 11, 2024)
- Noncommutative geometry and operator systems. Operator system day, University of Delaware (February 16, 2024)
- Geometric spaces at finite resolution. Quantum Information and Computing Seminar, University of Delaware (February 12, 2024)
- Geometry emerging from spectra. Symposium at IISER Thiruvananthapuram (February 3, 2024)
- Geometric spaces at finite resolution. Indian Institute of Science, Bangalore (January 29, 2023)
- Lectures on Noncommutative Geometry. Indian Statistical Institute, Kolkata (January 23-26, 2024)

## 2023

- Second quantization of noncommutative spaces: emergence of the Standard Model minimally coupled to gravity. Copernicus Webinar and Colloquium Series (14 November 2023)
- Geometric spaces at finite resolution, Applied Topology Day, VU Amsterdam (22 September 2023)
- Geometry emerging from spectra. Workshop "Emergent Dynamics", VU (August 31, 2023)
- Noncommutative geometry at finite resolution, workshop "Gravity, Noncommutative Geometry, Cosmology", Banff-Oaxaca (22 August 2023)
- Tolerance relations and operator systems, IWOTA 2023, Helsinki (1 August 2023)
- Tolerance relations and operator systems. Noncommutative Geometry Festival, St. Louis. (June 16, 2023)
- Noncommutative spaces at finite resolution. NSeaG2023 Workshop: Noncommutative Geometry and Operator Algebras (May 10, 2023).
- Noncommutative spaces at finite resolution. Japan-Netherlands joint seminar: : Index Theory and Operator Algebras in Topological Physics. (March 2, 2023)
- Geometric spaces at finite resolution. General Mathematics Colloquium, VU Amsterdam (February 8, 2023)
- Noncommutative spaces at finite resolution, UCSD Functional Analysis seminar (January 24, 2023)
- Noncommutative spaces at finite resolution. 5th Conference of Settat on "Operator Algebras and Applications", Marrakech (January 9, 2023)

## 2022

- Noncommutative spaces at finite resolution. NCG workshop Leiden (2 December 2022)
- Noncommutative spaces at finite resolution. Séminaire d'Algèbres d'Opérateurs, Jussieu (27 October 2022).
- Noncommutative spaces at finite resolution. Workshop "Noncommutative geometry: metric and spectral aspects", Krakow (29 September 2022)
- Spectral truncations in noncommutative geometry. Corfu Summer Institute (21 September 2022)
- Noncommutative spaces at finite resolution, 28th Nordic Congress of Mathematicians (August 19, 2022)
- Cyclic cocycles in the spectral action, Workshop "Non-Commutative Geometry and Cyclic Homology", MFO Oberwolfach (August 4, 2022)
- Noncommutative spaces at finite resolution, International Colloquium on Group Theoretical Methods in Physics, Strasbourg (July 20, 2022)
- Cyclic cocycles in the spectral action and one-loop corrections, Seminar INFN Firenze (April 27, 2022)
- Factorization of Dirac operators in unbounded KK-theory, Noncommutative Geometry Seminar, SISSA, Trieste, (April 26, 2022).
- Noncommutative spaces at finite resolution, North-Atlantic Noncommutative Geometry Seminar (online) (April 6, 2022)
- Noncommutative spaces at finite resolution. Conference "Noncommutativity in the North", Chalmers University, Gothenburg (March 16, 2022)

## 2021

- Cyclic cocycles in the spectral action and one-loop corrections (online). Mini-workshop Noncommutative Geometry and Physics. Quantum Spacetimes, Krakow. (November 30, 2021)
- Cyclic cocycles in the spectral action (online). Meeting "Cyclic Cohomology at 40: achievements and future prospects". Fields Institute (September 27, 2021)
- Cyclic cocycles in the spectral action and one-loop corrections, Corfu Summer Institute (September 20-26, 2021)
- Noncommutative geometry, operator systems and state spaces. HCM Symposium, Hausdorff Center, Bonn (26 August 2021)
- Mini-course "Noncommutative geometry and spectral triples" during workshop on "Noncommutative geometry meets topological recursion", Muenster (August 16-20 2021)
- Cyclic cocycles in the spectral action. Research seminar Dirk Kreimer, Von Humboldt University, Berlin. (June 21, 2021)
- Noncommutative geometry, operator systems and state spaces. Internet Seminar ISem24 (June 9, 2021)

## 2020

- Renormalization Hopf Algebras and Gauge Theories: an Overview. Conference "Algebraic Structures in Perturbative Quantum Field Theory" (November 16, 2020)
- Spectral truncations in non-commutative geometry and operator systems. NCG Learning Seminar (June 17, 2020)
- Spectral truncations in noncommutative geometry and operator systems. UC Berkeley Probabilistic Operator Algebra Seminar (June 15, 2020)
- Spectral truncations in noncommutative geometry. Quantum Gravity Lunch Seminar, Radboud University Nijmegen (13 May 2020)
- Noncommutative geometry and particle physics: Pati-Salam unification, NIKHEF Theory Group Seminar (16 January 2020).

## 2019

- Lectures on the Spectral Action, Workshop on Noncommutative Calculus and Spectral Action, UNSW Sydney (August 5-9, 2019) [Lecture I, Lecture II, Lecture III, Lecture IV and slides, Lecture V]
- Factorization of Dirac operators in unbounded KK-theory and curvature, Conference on Operator K-Theory in Geometry, Topology and Representation Theory (Kasparov 70), (June 11, 2019).
- Entropy and the spectral action in noncommutative geometry, Oberseminar Global Analysis and Operator Analysis, Bonn (23 April 2019)

## 2018

- Entropy and the spectral action in noncommutative geometry. Seminar Analysis and Applications, TU Delft (Oktober 9, 2018)
- Lectures on Noncommutative Geometry and Particle Physics, QSPACE 2018 Training school, Benasque (September 23-30, 2018)
- Noncommutative geometry and gauge theories. Kolloquium Wilhelm Killing, Muenster (July 5, 2018).
- Non-commutative geometry and quantum field theory. Summer school on structures in local quantum field theory, Les Houches (June 15, 2018)
- Beyond the spectral Standard Model: Pati-Salam unification. TH String Seminar, CERN, Geneve (June 12, 2018).
- Lectures on noncommutative geometry, GQT-School, Malden (June 5, 2018)
- Factorization of Dirac operators in unbounded KK-theory, Séminaire d’Algèbres d’Opérateurs, IMJ-PRG, Paris (5 April, 2018)

## 2017

- Factorization of Dirac operators in unbounded KK-theory. KK-day, Radboud University Nijmegen (December 1, 2017)
- Beyond the spectral Standard Model: Pati-Salam unification, TMP Colloquium CP3-Origins, Odense (November 20, 2017)
- Beyond the spectral Standard Model: Pati-Salam unification, Corfu Training School “Quantum Spacetime and Physics Models” (September 22, 2017)
- Factorization of Dirac operators in unbounded KK-theory, NCG 2017, Shanghai, China (March 27, 2017)
- Factorization of Dirac operators in unbounded KK-theory, "Noncommutative Geometry and Applications", ICTP, Trieste (March 2, 2017)
- Grand Unification in the Spectral Pati-Salam Model, "Quantum Spacetime and the Renormalization Group", Lorentz Center Leiden (February 16, 2017)

## 2016

- Lectures on Noncommutative Geometry and Gauge Theories, GQT School, Den Dolder (November 29,2016)
- Localizing gauge theories from noncommutative geometry, Mathematics Seminar, Odense (November 3, 2016)
- Localizing gauge theories from noncommutative geometry. Masterclass - Sums of self-adjoint operators: Kasparov products and applications, Copenhagen (August 26, 2016)
- Lectures on Noncommutative geometry and particle physics, Summer school NCG2016, Villa de Leyva, Colombia (June 20-July 1, 2016)
- Localizing gauge theories from noncommutative geometry, French/Italian meeting on Spectral triples in noncommutative geometry, Varese (May 4, 2016)
- Grand Unification in the Spectral Pati-Salam Model (Zakopane), Conference "Quantum Spacetime '16", Zakopane (February 9, 2016)
- Spectral action and particle physics, COST Meeting "Noncommutative Geometry, Spectral Action and High Energy Physics and Cosmology", Brussels (January 28, 2016).

## 2015

- Beyond the spectral Standard Model: Pati-Salam unification, Quantum Field Theory Seminar, University Muenster (December 7, 2015)
- Beyond the spectral Standard Model: Pati-Salam unification, Physics Colloquium, University of Groningen (October 15, 2015)
- Semigroup of inner perturbations in noncommutative geometry, Colloquium Mathematics, University of Groningen (October 6, 2015)
- Semigroup of inner perturbations in noncommutative geometry, 95e rencontre entre mathématiciens et physiciens théoriciens : "Géométrie, arithmétique et physique : autour des motifs", Strasbourg (May 28, 2015)
- Localizing gauge theories from noncommutative geometry, Geometry Seminar, Nijmegen (May 7, 2015)
- Localizing gauge theories from noncommutative geometry, SISSA, Trieste (January 30, 2015)

## 2014

- Semigroup of inner perturbations in noncommutative geometry, Workshop “Quantum physics and non-commutative geometry”, HIM Bonn (23 September 2014)
- Inner perturbations in noncommutative geometry, Frontiers of Fundamental Physics, Marseille (July 16, 2014)
- Lectures on "Noncommutative Geometry and Particle Physics", Summer school on structures in local quantum field theory, Les Houches (June 9-20, 2014)
- Inner perturbations in noncommutative geometry, Analysis Colloquium, TU Delft (May 26, 2014)
- Inner perturbations in noncommutative geometry, Bayrischzell Workshop "Quantized geometry and physics", Bayrischzell (May 23-26, 2014).
- Inner perturbations in noncommutative geometry, General Mathematics Colloquium, Leiden University (May 15, 2014)
- Unraveling the fine structure of spacetime, Huygens Colloquium, Radboud University Nijmegen (February 3, 2014).
- Inner perturbations in noncommutative geometry, GQT Colloquium, Driebergen (January 17, 2014).

## 2013

- Lecture Noncommutative Geometry - What is has done (Leiden), Workshop Noncommutative Geometry and Particle Physics, Lorentz Center Leiden (October 15, 2013)
- First-order condition and a semi-group of inner fluctuations, Workshop Noncommutative geometry, MFO, Oberwolfach (September 10, 2013).

## 2012

- Renormalization Hopf algebras of gauge theories, and ghost cycles, Periods and Polylogarithms III, Berlin. (June 28, 2012).
- Moduli spaces of instantons on toric noncommutative manifolds, 30th workshop "Foundations and Constructive aspects of quantum field theory", University of Paderborn (June 21, 2012).
- Moduli spaces of instantons on toric noncommutative manifolds, Workshop on Gauge theory and noncommutative geometry, University of Luxembourg (June 20, 2012).
- Renormalizability conditions for almost commutative manifolds, Workshop "Noncommutative Algebraic Geometry and its Applications to Physics", Lorent Center, Leiden (March 20, 2012).
- Renormalizability conditions for almost commutative manifolds, Universita' di Napoli (March 13, 2012).
- Gauge networks in noncommutative geometry, Seminaires Mathematique, Universite Paris Sud, Orsay. (March 6, 2013).
- Renormalization of the asymptotically expanded Yang- Mills spectral action, Conference "Planckland, quantum geometry and matter", SISSA, Trieste (February 16, 2012).

## 2011

- Renormalization of the Yang-Mills spectral action, Research Seminar: Structure of Local Field Theories, Humboldt-Universitaet zu Berlin (October 31, 2011).
- Renormalization of the Yang-Mills spectral action, Workshop on Noncommutative Field Theory and Gravity, Corfu, Greece (September 7, 2011)
- Lectures on "Applications of Spectral Triples to Physics", School on Spectral Triples and Applications, Bangkok (May 15-28, 2011)
- Gauge theories and noncommutative manifolds, General Mathematics Seminar, University of Luxembourg (January 4, 2011).

## 2010

- Gauge theories and noncommutative manifolds, GQT-colloquium, Radboud University Nijmegen (December 10, 2010).
- Renormalization Hopf algebras for gauge theories and BRST-symmetries, Workshop "Feynman graphs in physics, combinatorics, homological algebra and category theory", Clermont-Ferrand (October 15, 2010).
- On the spectral action in noncommutative geometry, Conference Geometry and Physics VIII, Scalea, Italy (September 17, 2010).
- Renormalization Hopf algebras for gauge theories and BRST symmetries, Conference QMath 11, Hradec Kralove, Czech Republic (September 7, 2010).
- On the spectral action in noncommutative geometry, 26th Workshop 'Foundations and Constructive Aspects of QFT', Muenster (June 18, 2010).
- Lectures on "The structure of perturbative quantum gauge theories", Summer School on structures in local quantum field theory, Les Houches (June 7-25, 2010)
- Lectures on "Noncommutative geometry and physics" during MRI-Masterclass "Arithmetic Geometry and Noncommutative Geometry (April 26-30, 2010)
- Lectures on "Noncommutative geometry and physics" during MRI-Masterclass "Arithmetic Geometry and Noncommutative Geometry (April 26-30, 2010)
- Lectures on "Noncommutative geometry and physics" during MRI-Masterclass "Arithmetic Geometry and Noncommutative Geometry (April 26-30, 2010)
- Renormalization Hopf algebras for gauge theories and BRST-symmetries, Mathematical Physics Seminar, Ecole Polytechnicque (March 19, 2010).
- Renormalization Hopf algebras for gauge theories and BRST-symmetries, Seminaires Mathematique, LPT, Orsay (March 3, 2010).
- Physics of the spectral action in noncommutative geometry, MFO, Oberwolfach (February 9, 2010).

## 2009

- Renormalization Hopf algebras for gauge theories and BRST-symmetries, Conference "Higher Structures in Mathematics and Physics" (November 18, 2009).
- Renormalization Hopf algebras for gauge theories and BRST symmetries , University of Zaragoza (November 5, 2009).
- Noncommutative geometry and supersymmetry, MFO, Oberwolfach (September 10, 2009)
- Hopf algebras of Feynman graphs for gauge theories, Noncommutative Geometry in Representation Theory and Integrable Systems, SISSA, Trieste (July 22, 2009)
- Hopf algebras of Feynman graphs for gauge theories, Theorie des champs, periodes et polylogarithmes II, IHES, Bures-sur-Yvette. (June 4, 2009)
- Noncommutative geometry and some of its applications, Minisymposium Geometry and Topology, Nederlands Mathematisch Congres, Utrecht (April 22-23, 2009)
- Lectures on "The structure of perturbative quantum gauge theories", School on Noncommutative Geometry, IPM, Tehran, Iran (April 19-21, 2009).
- Renormalization using Hopf algebras and the Batalin-Vilkovisky formalism, Conference "Algebraic and Combinatorial Structures in Quantum Field Theory", Institut d'Etude Scientifiques de Cargese, Corsica (April 1, 2009).
- Lectures on "The structure of perturbative quantum gauge theories" at Department of Mathematics, Johns Hopkins University, Baltimore (March 9-12, 2009).
- Connes-Kreimer algebra of Feynman graphs and BV algebras, Groupe de travail "Mathematiques de la physique moderne", Institut de Mathematiques de Jussieu, Paris (February 6, 2009).
- Renormalization of gauge theories using Hopf algebras, Seminaire "Analyse, Geometrie et Algebre", Laboratoire de Mathematiques et Applications de Metz (January 30, 2009).
- Renormalization of gauge theories using Hopf algebras, Seminaire, Laboratoire de Mathematiques, Reims (January 27, 2009).

## 2008

- Renormalization Hopf algebras and BRST-symmetries, Grafiti Seminar, Institute for Theoretical Physics, Utrecht (November 17, 2008).
- Renormalization Hopf algebras and BRST-symmetries, Colloquium of the Zenter fuer Mathematische Physik, Hamburg (November 6, 2008).
- Lectures on "The Connes-Moscovici noncommutative index theorem", Conference on index theory, Bogot'a, Colombia (October 6-10, 2008).
- The structure of perturbative quantum gauge theories, General Mathematics Colloquium, University of Amsterdam (October 1, 2008)
- On the geometry of noncommutative gauge fields, Mini-symposium "Applications of Noncommutative geometry" during European Congress of Mathematics 2008, Amsterdam (July 17, 2008)
- Representations of Feynman graphs on Gerstenhaber algebras, Workshop "The manifold geometries of quantum field theory", Hausdorff Research Institute for Mathematics, Bonn (July 1, 2008).
- Renormalization using Hopf algebras and the Batalin-Vilkovisky formalism, Conference "Motives, Quantum Field Theory, and Pseudodifferential Operators", Boston University (June 10, 2008).
- Renormalization using Hopf algebras and the Batalin-Vilkovisky formalism, Workshop on "Foundations and Constructive Aspects of QFT", DESY, Hamburg (June 6, 2008).
- Noncommutative geometry of the Standard Model of elementary particles, Marie Curie Symposium "Fysica voorspeld", Radboud University Nijmegen (June 4, 2008).
- Renormalization using Hopf algebras and the Batalin-Vilkovisky formalism, Conference de mathematiques du Cycle Scientifique du Cinquantenaire, IHES, Bures-sur-Yvette (May 21, 2008)
- Renormalization using Hopf algebras and the Batalin-Vilkovisky formalism, IHES, Bures-sur-Yvette (April 15, 2008).
- On the geometry of noncommutative gauge fields, Noncommutative Geometry and Physics 2008, Shonan, Japan (February 21, 2008)
- Renormalization of gauge fields, 21. Workshop "Foundations and Constructive Aspects of QFT", Institut fuer Theoretische Physik, Goettingen (January 25, 2008)

## 2007

- On the geometry of noncommutative gauge fields, Workshop on Noncommutative Manifolds II, SISSA, Trieste (October 24, 2007).
- Renormalization of gauge fields using Hopf algebras, Courant-Colloquium "Goettingen trends in Mathematics", Courant Research Center Goettingen (October 14, 2007).
- Instantons on a noncommutative sphere, Symplectic Seminar, Department of Mathematics, University of Toronto (October 10, 2007).
- Renormalization of gauge fields using Hopf algebras, Operator Algebra Seminar, Department of Mathematics, University of Toronto, (October 9, 2007).
- Noncommutative tori and the Riemann-Hilbert correspondence, Analysis seminar, Buffalo University (October 8, 2007).
- Noncommutative tori and the Riemann-Hilbert correspondence, AMS Meeting "Noncommutative Geometry and Arithmetic Geometry", New Brunswick, New Jersey, (October 7, 2007)
- Hopf algebras of Green's functions in perturbative quantum field theory, Deformation Theory Seminar, Department of Mathematics, University of Pennsylvania (October 3, 2007).
- Renormalization of gauge fields using Hopf algebras, Topology Seminar, Department of Mathematics, Johns Hopkins University (October 1, 2007).
- Noncommutative tori and the Riemann-Hilbert correspondence. Mathematisches Forschungsinstitut Oberwolfach (MFO), Oberwolfach (September 5, 2007)
- Mini-course on "Noncommutative geometry and the Standard Model of particle physics". International School and Conference of Noncommutative Geometry, Chern Institute of Mathematics, Nankai University, Tianjin, China (August 20-24, 2007).
- Multiplicative renormalization and Hopf algebras, Local Quantum Physics Workshop, Institut fuer Theoretische Physik, Leipzig (June 29, 2007).
- Renormalization of a gauge theory, Seminaire de Physique Mathematique, Institut Camille Jordan, Lyon (June 1, 2007).
- Noncommutative tori and the Riemann-Hilbert correspondence, Korteweg-de Vries Institute for Mathematics, Amsterdam (May 14, 2007).
- The Higgs boson and noncommutative geometry. IMAPP Meeting, Nijmegen (April 19, 2007)
- The local index formula for quantum SU(2). IMPRS Seminar, MPIM, Bonn (April 18, 2007).
- Renormalization of a gauge theory, Erwin Schroedinger Institute, Vienna (April 4,2007).
- The use of Hopf algebras in renormalization of quantum field theories, IMAPP, Radboud Universiteit Nijmegen (January 26 and March 16, 2007).
- Renormalization of gauge fields: A Hopf algebra approach, Mathematical Institute, Utrecht (January 18, 2007).

## 2006

- Local index formula for SU_q(2), IMAPP, Radboud Universiteit Nijmegen (November 28, 2006).
- Gauge theories on noncommutative spaces, MPIM, Bonn (November 2, 2006).
- The Hopf algebra of Feynman graphs in QED, Centre de Physique Theorique, Marseille (September 15, 2006)
- The Hopf algebra of Feynman graphs in QED, Newton Institute for Mathematics, Cambridge (September 5, 2006)
- Yang-Mills theory on noncommutative toric manifolds, SISSA, Trieste (June 21, 2006).
- The Hopf algebra of Feynman graphs in QED, Vanderbilt University, Nashville (May 15, 2006).
- Noncommutative instantons from twisted conformal symmetries, IMAPP, Radboud Universiteit Nijmegen (April 28, 2006).
- The Hopf algebra of Feynman graphs in QED, SISSA, Trieste (April 6, 2006).
- Noncommutative instantons from twisted conformal symmetries, MPIM, Bonn (March 23, 2006)
- An introduction to renormalization in quantum field theory II, MPIM, Bonn (January 26, 2006).
- An introduction to renormalization in quantum field theory I, MPIM, Bonn (January, 17, 2006).

## 2005

- The geometry of gauge fields on toric noncommutative manifolds, MFO, Oberwolfach (October 27, 2005)
- The geometry of noncommutative spheres and their symmetries, SISSA, Trieste (October 17, 2005)
- The Dirac operator on quantum SU(2), Glanon (June 30, 2005)
- The Dirac operator on quantum SU(2), SISSA, Trieste (June 9, 2005)
- Instantons on the noncommutative 4-sphere, IoP, Krakow (April 26, 2005)

## 2004

- The Dirac operator on SUq(2), ICTP/SISSA, Trieste (October 19, 2004)
- Noncommutative spheres in dimension `3', 4 and 7, SISSA, Trieste (June 9, 2004)
- Instantons on Sθ4, INFN, Florence (March 29, 2004)

## 2003

- Instantons on the quantum four-sphere, SISSA, Trieste (October 2003).
- The Atiyah-Singer index theorem, SISSA, Trieste (July 2003).