Upcoming Talks
TBA
Conferences and Colloquia
Seminars
Real Structures in Seiberg-Witten Floer Theory | Geometric Topology Seminar, Columbia University | May 2024 |
Real Structures and Seiberg-Witten Floer Theory | Geometry Seminar, ICMAT | May 2024 |
Symmetries of 3-Manifolds | Geometry Seminar, UFRJ | April 2024 |
A New Proof of the Milnor Conjecture | Differential Geometry Seminar, IMPA | April 2024 |
Equivariant Floer Theoretic Invariants of 3-Manifolds | Geometry Seminar, USP | April 2024 |
New Invariants of Finite Group Actions on 3-Manifolds | Geometry Seminar, UniCamp | April 2024 |
Equivariant Floer Homology and its Applications | Topological Quantum Field Theory Seminar, Instituto Superior Tecnico, Lisbon | December 2023 |
Equivariant Floer Homotopy Type and its Applications | Geometry Seminar, Radboud University | December 2023 |
Equivariant Seiberg-Witten Floer Cohomology and its Applications | Australian Geometric Topology Webinar | September 2023 |
Equivariant Index on Toric Sasaki Manifolds | Geometry and Topology Seminar, University of Porto | July 2023 |
Floer Homology of Brieskorn Spheres | Geometry Seminar, University of Valencia | May 2023 |
Floer Theoretic Correction Terms from Finite Group Actions | Groupes de Lie et Espaces des Modules Seminar, University of Geneva | May 2023 |
Distributional Characters on Toric Contact Manifolds | Rocky Mountain Representation Theory Seminar | April 2023 |
Arc Space Deformations of Verlinde Conjugacy Classes | Symplectic Geometry Seminar, IMPA | December 2022 |
Equivariant Index on Toric Sasaki Manifolds | Symplectic and Poisson Geometry Seminar, University of Illinois Urbana-Champaign | November 2022 |
The Dolbeault Complex on Toric Sasaki Manifolds | Geometry Seminar, ICMAT | October 2022 |
Equivariant Index on Toric K-Contact Manifolds | Global Poisson Seminar | September 2022 |
Twisted Milnor Metric for Finite Group Actions | Differential Geometry Seminar, University of Adelaide | May 2022 |
Twisted Milnor Norm for Finite Group Actions | Mathematical Physics Seminar, University of Melbourne | May 2022 |
Equivariant Torsion for Flat Superconnections | Mathematical Physics Seminar, Australian National University | May 2022 |
What is a Cohomological Field Theory? | SMRI What is...? Seminar, University of Sydney | April 2022 |
An Equality of Twisted Torsions | Algebra and Combinatorics Seminar | May 2021 |
Signs for p-Gerbes | Geometry and Topology Seminar, Universidade Federal Fluminense | March 2019 |
Stable Bundles on Foliated Manifolds | Symplectic Geometry Seminar, IMPA | March 2019 |
Categorical Group Actions | Geometry and Analysis Seminar | November 2018 |
A Quantum Field Refinement of Equivariant Cohomology | Mathematics-String Theory Seminar, Kavli-IPMU, Tokyo | September 2018 |
A Quantum Refinement of Equivariant Cohomology | Analysis Seminar, University of Glasgow | January 2018 |
Hodge-Deligne Polynomials of Moduli Spaces of Flat Connections | Geometry Seminar, PUC | May 2017 |
A Quantum Refinement of Equivariant Cohomology | Symplectic Geometry Seminar, UFRJ | May 2017 |
K-theory and the Fourier-Mukai Transform | Algebra and Logic Seminar, University of Denver | May 2017 |
String Structures and Courant Reductions | Geometry Seminar, USP | March 2017 |
String Structures and Courant Algebroids | Geometry Seminar, UFRJ | March 2017 |
Hodge-Deligne Polynomials of Singular Character Varieties | Algebraic Geometry Seminar, UFF | March 2017 |
The Fourier-Mukai Transform and Topological K-theory | Algebra and Geometry Seminar, Royal Institute of Technology/Stockholm University | January 2017 |
Topological T-duality and Hodgkin's Theorem | Groupes de Lie et Espaces des Modules Seminar, University of Geneva | December 2016 |
Gauge Theory on Contact 5-Manifolds | Geometry Seminar, USP | June 2016 |
Group Actions on Abelian Categories | Representation Theory Seminar, USP | June 2016 |
On the BV Formalism | Poisson Geometry Seminar, IMPA | May 2016 |
Instanton moduli spaces on contact 5-manifolds | Differential Geometry Seminar, University of North Carolina at Chapel Hill | November 2015 |
Topological T-duality and Hodgkin's Theorem | Geometry Seminar, North Carolina State University | November 2015 |
Topological T-duality and Hodgkin's Theorem | Topology Seminar, University of Notre Dame | November 2015 |
Topological T-duality and Hodgkin's Theorem | Geometry Seminar, Purdue University | November 2015 |
Instanton moduli spaces on contact 5-manifolds | Mathematical Physics and Gauge Theory Seminar, Michigan State University | November 2015 |
Topological T-duality and Hodgkin's Theorem | Geometry, Topology and Dynamics Seminar, University of Illinois, Chicago | November 2015 |
Topological T-duality and Hodgkin's Theorem | Topology Seminar, University of Minnesota | November 2015 |
Topological T-duality and Hodgkin's Theorem | Analysis-Geometry Seminar, Northeastern University | November 2015 |
Introduction to Topological T-duality | Baby Geometry and Analysis Seminar, Northeastern University | November 2015 |
The Fourier-Mukai Transform and Hodgkin's Theorem | Geometry Seminar, UFRJ | October 2015 |
Topological T-duality and String Structures | Mathematical Physics Seminar, IMPA | October 2015 |
Basic Gerbal Representations of Compact Lie Groups | Symplectic Geometry Seminar, IMPA | August 2015 |
Categorical Representations of Compact Lie Groups | Pure Mathematics Seminar, University of New South Wales | May 2015 |
Dirac Operators and Infinite Dimensional Lie Groups | Geometry Seminar King's College London |
February 2015 |
Dirac Type Operators and Lie Groupoids | Noncommutative Geometry Seminar, Caltech Mathematics Department | January 2015 |
Categorified Fock Representations | Algebra and Logic Seminar University of Denver |
January 2015 |
Higher Fock Representations | Algebra Seminar University of Sydney |
November 2014 |
Anomalies in Gauge Theory | Department of Theoretical Physics, Australian National University | May 2014 |
T-duality Transformation of String Structures |
Department of Mathematics National University of Singapore |
April 2014 |
A Generalised Kac-Peterson Cocycle | Differential Geometry Seminar University of Adelaide |
April 2014 |
Lectures on T-duality and its Applications |
Pure Mathematics Seminar University of Queensland |
February 2014 |
The Cubic Dirac Operator on Infinite Dimensional Lie Groups |
Geometry Seminar SISSA - International School for Advanced Studies |
July 2013 |
Loop Spaces, Gerbes and Twisted K-theory |
Geometry Seminar SISSA - International School for Advanced Studies |
July 2013 |
Trivialisation of the First Pontryagin Class |
Pure Mathematics Seminar University of Queensland |
May 2013 |
An Introduction to Topological T-duality |
Pure Mathematics Seminar University of Queensland |
May 2013 |
T-duality and String Structures |
Geometry and Topology Seminar University of Glasgow |
April 2013 |
Global Aspects of Heterotic T-duality |
Mathematical Physics Seminar Uppsala University |
April 2013 |
The Caloron Transform and Geometric Invariants | Mathematical Physics Seminar ETH Zurich |
July 2012 |
The Cubic Dirac Operator | IMIA Seminar University of Wollongong |
April 2012 |
Dirac Operators on Classifying Spaces | Differential Geometry Seminar University of Adelaide | October 2011 |
Dirac Families and 1-Cocycles |
Operator Algebra Seminars University of Tokyo |
February 2011 |
Quantization of Gauge Groups |
Department of Physics Chulalongkorn University |
January 2011 |
Twisted K-theory, Loop Groups and their Generalisations |
Algebra-Geometry-Topology Seminar University of Melbourne | November 2010 |
A Deformation of Loop Groups and their Representations | IMIA Seminar University of Wollongong |
August 2010 |
Gauge Groups and Twisted K-theory | Department of Mathematics National University of Singapore |
July 2010 |
Vertex Algebras and Variational Calculus | Differential Geometry Seminar University of Adelaide |
June 2010 |
Twisted K-theory Classes | Functional Analysis Seminar Darthmouth College |
July 2009 |
Introduction to Chern-Simons Theory | Massachusetts Institute of Technology | May 2009 |
Loop Groups with Fractional Differentiability |
Geometry Seminar Boston University |
December 2008 |
Thom Isomorphism and Twisted K-theory | Mathematical Physics Seminar Helsinki University |
March 2007 |
Lie Group and Lie Algebra Extensions |
Mathematical Physics Seminar Helsinki University |
November 2006 |
Integrability Criterion for Abelian Extensions of Lie Groups | Graduate Student Seminar Royal Institute of Technology |
October 2006 |
Outreach
Maths & Music | INSPIRE Festival, Nelson, New Zealand | September 2024 |
Geometry of Rhythms |
WOMAD NZ Festival | March 2024 |
The Mathematics of Dances | Lecture Recital at the School of Music, University of Auckland | October 2023 |
Knots Invariants | Knots in Nature, University of Auckland | October 2023 |
Knots and Polynomials | Ahuahanga Day, University of Auckland | March 2023 |
Geometry of Musical Rhythms | Lecture Recital at the School of Music, University of Auckland | February 2023 |
The Monster | The Mathematics Club, University of Auckland | March 2022 |
Crossing Borders Within Mathematics SLIDES |
Undergraduate Mathematics Community, University of Auckland | October 2017 |
Examples of Counterexamples SLIDES |
Undergraduate Seminar University of Adelaide |
September 2012 |
Unbroken Symmetries | South Australian Postgraduate Symposium, Flinders University | April 2012 |
Strings Seminar Talks
Compactness of the Seiberg-Witten Moduli Spaces | June 2014 |
The Seiberg-Witten Moduli Spaces | June 2014 |
Aspects of Seiberg-Witten Theory | May 2013 |
Constrained Quantisation and Supermanifolds | September 2012 |
Chern-Simons Gauge Theory and Knot Invariants | December 2011 |
Octonions: a Panorama | May 2011 |
Topics in Morse Theory | March 2011 |
Gerbal Representations | March 2011 |
Group-Valued Moment Map and Quasi-Hamiltonian Quantisation | January 2011 |
Positive Energy Representations of Loop Groups | October 2010 |
Construction of Loop Group Central Extensions | October 2010 |
Dirac Families and Fractional Loop Groups I-III | August 2010 |