Upcoming Talks

TBA Columbia Geometric Topology Seminar May 2024

Conferences and Colloquia

Floer Theoretic Correction Terms from Finite Group Actions Representations in Higher Structures, University of Greifswald June 2023
New Floer Theoretic Invariants of 3-Manifolds Gauge Theory, Canonical Metrics, and Geometric Structures, ICMAT Madrid June 2023
Twisted Torsion for Finite Group Actions Index Theory and Complex Geometry, National University of Singapore September 2021
New Knot Invariants From Finite Group Actions Perspectives on Algebra, Geometry and Number Theory April 2021
Deformation of Verlinde Algebras A Mathematical Medley, University of Auckland November 2020
Holomorphic Bundles on Foliations
SLIDES		 The Eight Pacific Rim Conference in Mathematics, Geometric Analysis Session, University of California, Berkeley August 2020
A Deformation of Fusion Rings The 8th Annual Meeting of the Australian and New Zealand Association of Mathematical Physics February 2020
A Quantum Invariant for Group Actions The Butcher-Kalman Plenary Lecture, New Zealand Mathematical Society Colloquium December 2019
Mini-Course on Differential K-theory and the Fourier-Mukai Transform East China National University, Shanghai April 2019
A Quantum Invariant for Group Actions Groups and Geometries 2019, University of Auckland January 2019
Higgs Bundles and Foliations Geometric Analysis Session, 62nd Annual Meeting of the Australian Mathematical Society December 2018
Hermitian-Einstein Metrics on Foliated Manifolds
Index Theory and Applications to Positive Scalar Curvature and Related Areas, University of Adelaide June 2018
A Quantum Field Refinement of Equivariant Cohomology String Geometries and Dualities, University of Adelaide September 2017
A Quantum Refinement of Equivariant Cohomology PRIMA 2017, Oaxaca, Mexico August 2017
E-polynomials of Singular Character Varieties Mathematical Congress of the Americas, McGill University July 2017
An Application of T-duality to K-theory Subfactors, K-theory and Conformal Field Theory, Isaac Newton Institute, Cambridge June 2017
T-duality in Heterotic String Theory Recent Advances in T/U-dualities and Generalized Geometries, Zagreb June 2017
A Topological Application of T-duality II Brazilian Congress of Young Researchers in Pure and Applied Mathematics, Campinas December 2016
Gauge Theory on Foliated Manifolds II Brazilian Congress of Young Researchers in Pure and Applied Mathematics, Campinas December 2016
Moduli Spaces of Contact Instantons The Latin American Congress of Mathematicians July 2016
D-branes in Orientifolds Workshop on Mathematical Physics, ICTP-SAIFR June 2016
Real Structures on Quasi-Hamiltonian Manifolds Mini-Workshop on Symplectic Geometry, UFRJ February 2016
Gauge theoretic moduli spaces on foliated 5-manifolds Gromov-Witten theory, Gauge Theory and Dualities, ANU January 2016
Instanton moduli spaces on foliated 5-manifolds First Brazil-Spain Joint Meeting in Mathematics, Fortaleza December 2015
Multiplicative Gerbes on Compact Lie Groups Interactions between Geometry and Physics, Sao Paulo, Brazil August 2015
String Structures, Reductions and
T-duality
SLIDES 		Infinite-dimensional Structures in Higher Geometry and Representation Theory, University of Hamburg February 2015
Projective Families of Dirac Type Operators Positive Curvature and Index Theory
National University of Singapore		 November 2014
Moduli Spaces of Contact Instantons Quantum Physics and Non-Commutative Geometry, Hausdorff Research Institute for Mathematics September 2014
A Generalised Kac-Peterson Cocycle Poisson 2014, University of
Illinois at Urbana-Champaign		 August 2014
Strings Structures and Courant Algebroids String Geometry and Loop Spaces
University of Greifswald		 July 2014
Geometry of Symmetry Breaking Mathematics Colloquium
University of Otago		 November 2013
A Generalised Kac-Peterson Cocycle and its Topological Ramifications Representation Theory in Geometry, Topology and Combinatorics November 2013
Differential Refinement of Odd K-theory Geometry and Topology Session
57th Annual Meeting of the Australian Mathematical Society		 September 2013
String Structures and Topological T-duality Mathematical Physics Session
57th Annual Meeting of the Australian Mathematical Society		 September 2013
Geometric Transforms and Differential K-theory Geometry of Strings and Fields
The Galileo Galilei Institute		 August 2013
A Geometric Model for Odd Differential K-theory Workshop on Mathematics of String Theory, Zhejiang University July 2013
T-duality Commutes with Reduction PRIMA Congress 2013
Shanghai Jiao Tong University		 June 2013
Variational Complex
and Poisson Vertex Algebras 		AGIS Colloquium
University of Leeds		 April 2013
Differential K-theory
and the Caloron Correspondence 		Moduli Spaces and Mathematical Physics, CIMAT January 2013
Loop Group Bundles and
Secondary Invariants 		K-Theory and Quantum Fields
Erwin Schrödinger Institute 		July 2012
Group Cocycles and Higher Representation Theory Symmetries of Discrete Objects February 2012
Caloron Correspondence for Gauge Group Bundles Analysis, Geometry, and Quantum Field Theory, University of Potsdam September 2011
Twisted K-Classes and 1-Cocycles
SLIDES 		Perspectives in Deformation Quantization and Noncommutative Geometry, RIMS February 2011
Non-Central Extensions of Loop Groups Riemannian and Differential Geometry La Trobe University December 2010
Calculus Structure on the Variational Complex
SLIDES		 54th Annual Meeting of the Australian Mathematical Society September 2010
Lie Conformal Algebra Complex and Integrable Hierarchies CareyFest: Geometry and Quantum Field Theory, Max Planck Institute for Mathematics, Bonn June 2010
Fractional Loop Group and Twisted K-theory 29th Annual Great Plains Operator Theory Symposium
University of Colorado		 June 2009

Seminars

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

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