Upcoming Talks

TBA

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

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

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