2022
Character Varieties, E-Polynomials and Representation Zeta Functions
The Australian National University, 14-18 February 2022 [conference webpage]
co-organised with: Pedram Hekmati, Masoud Kamgarpour, Uri Onn
2019
Moduli spaces, representation theory and quantization
Research Institute for Mathematical Sciences, Kyoto, Japan, 24-28 June 2019 [conference webpage]
co-organised with: Pedram Hekmati, Takuro Mochizuki, Motohiko Mulase, Masa-Hiko Saito, Francesco Sala
2018
Character varieties and topological quantum field theories
The University of Auckland, 17-20 December 2018 [conference webpage]
co-organised with: Pedram Hekmati, Vaughan Jones, Richard Wentworth
Co-organiser for AustMS 2018, 62nd Annual Meeting of the Australian Mathematical Society
The University of Adelaide, 4-7 December 2018 [conference webpage]
Special sessions organiser
2017
IGA/AMSI workshop, String Geometries and Dualities
The University of Adelaide, 11-15 September 2017 [conference webpage]
co-organised with: Peter Bouwknegt, Guo Chuan Thiang, Mathai Varghese
2016
IGA/AMSI workshop, Topological Matter, Strings, K-theory and related areas
The University of Adelaide, 26-30 September 2016 [conference webpage]
co-organised with: Peter Bouwknegt, Guo Chuan Thiang, Mathai Varghese
Simons Center for Geometry and Physics workshop, Stony Brook, New York
New perspectives on Higgs bundles, branes and quantization [conference webpage]
June 13-17, 2016 co-organised with: Lara Anderson, Laura Schaposnik and Vivek Shende.
2016-ongoing
Organiser of weekly graduate student seminar, the Basic Notions Seminar [seminar webpage]
2015
American Institute of Mathematics Workshop, San Jose, California
New perspectives on spectral data for Higgs bundles [conference webpage]
September 28 to October 2, 2015
co-organised with: Joergen Ellegaard Andersen, Philip Boalch, and Laura Schaposnik
IGA/AMSI workshop Australia-Japan Geometry, Analysis and their Applications
The University of Adelaide, 19-23 October 2015 [conference webpage]
co-organised with: Tsuyoshi Kato, Melissa Tacy, Guo Chuan Thiang, Mathai Varghese
2014-2015
Organiser of weekly research seminar, the Strings Journal Club [webpage]
2014 geometric analysis and the Seiberg-Witten invariants
2015 semester 1: geometric quantisation
2015 semester 2: topics in K-theory and topological insulators
2013
Aspects of Finsler Geometry, for the Institute for Geometry and Its Applications (IGA) [webpage]
Lectures by Professor Robert Bryant
Organiser of School of Mathematical Sciences colloquium at the University of Adelaide
2022
Quantization of Complex Symplectic Varieties, Oberwolfach [conference webpage]
6-7 October (two talks)
Special Kähler Geometry & Topological Recursion
2021
Gauge Theory Virtual, online seminar [webpage]
16 February
Tautological classes of definite 4-manifolds
Topology Seminar, University of California San Diego
5 May
Non-trivial smooth families of K3 surfaces
Australian Geometric Topology Webinar [webpage]
7 July
Non-trivial smooth families of K3 surfaces
Topology Seminar, University of Melbourne
23 August
Tautological classes of definite 4-manifolds
2019
Algebraic Geometry in Auckland [conference webpage]
16-20 December, 2019, The University of Auckland
The Nielsen realisation problem for K3 surfaces
2018
AustMS 2018, 62nd Annual Meeting of the Australian Mathematical Society
The University of Adelaide, 4-7 December 2018 [conference webpage]
A gluing formula for families Seiberg-Witten invariants
Geometry and Physics of Quantum Curves, Banff International Research Station,
September 9 - 14 [conference webpage]
Special Kahler geometry of the Hitchin system and topological recursion
Tau Functions of Integrable Systems and Their Applications, Banff International Research Station,
September 2 - 7 [conference webpage]
Topological recursion and Bergman tau functions for the Hitchin system
Index Theory and Applications to Positive Scalar Curvature and Related Areas
June 4 - 8 [conference webpage]
Obstructions to Smooth Group Actions on 4-Manifolds from Families Seiberg-Witten Theory
Conformal and Symplectic Geometry, The University of Auckland
February 5 - 9 [conference webpage]
Special Kahler geometry and topological recursion
2017
Invited speaker at conference Gauge Theory and Higher Geometry,
The University of Adelaide, November 28 - December 1 [conference webpage]
Special Kahler geometry and topological recursion
Invited lecture series Riemann Surfaces and Moduli Spaces, The University of Auckland,
September 26 - September 29 (4 lectures) [webpage]
Invited speaker at 2nd Australia-Japan conference on Geometry, Analysis and their Applications,
Kyoto University, January 30 - February 3 [conference webpage]
Monodromy of the Hitchin fibration
Invited speaker at conference Higgs bundles and related topics,
Laboratoire J.A Dieudonné, Nice, 29 May - 2 June [conference webpage]
On the image of the strongly parabolic Hitchin map
2016
Invited speaker at conference Hitchin 70: Celebrating 30 years of Higgs bundles and 15 years of generalized geometry, ICMAT (Madrid), September 12-16 [conference webpage]
Integrability of moduli stacks of parahoric Higgs bundles
Invited speaker at conference Geometry, Topology and Dynamics of Moduli Spaces,
Institute for Mathematical Sciences, Singapore [conference webpage]
Integrability of moduli spaces of parahoric Higgs bundles
Invited speaker at conference Higgs bundles and Hitchin systems,
Bernoulli Center, Lausanne [conference webpage]
Monodromy of the SL(n,C) Hitchin fibration
2015
Geometry Seminar, University of Oxford
Automorphism and isometry groups of Higgs bundle moduli spaces
Invited speaker at IGA/AMSI workshop Symmetries and Spinors [conference webpage]
A Fourier-Mukai approach to the K-theory of compact Lie groups
2014
Invited speaker at conference on G2 manifolds, Simons Center, Stony Brook University, New York
Associative and coassociative fibrations
Plenary speaker at Poisson 2014, University of Illinois at Urbana-Champaign [conference webpage]
Moduli spaces of contact instantons
Invited speaker at Geometry and Physics of Moduli Spaces,
ICMAT – Institute of Mathematical Sciences, Madrid [conference webpage]
Hamiltonian flows and the Kodaira-Spencer map
Senior speaker at GEAR (Geometric Structures and Representation Varieties) Junior Retreat,
University of Michigan [conference webpage]
Higgs bundles and character varieties
2012
Invited speaker, Integrable Systems and Geometric PDEs
National Taiwan University, Taiwan [conference webpage]
Toda equations from geometry
Principal speaker, Geometry and Physics 2012
University of Waterloo and Perimeter Institute for Theoretical Physics [conference webpage]
Variation of Hodge structure for generalized complex manifolds
Lecture series, Geometry Retreat 2012 University of Toronto [conference webpage]
Exceptional generalized geometries: beyond T+T*
2011
Lecture series by invitation from Professor Shing-Tung Yau, Tsinghua University, Beijing
Introduction to generalized geometry and T-duality
Invited lecture, IGA/AMSI Workshop, Group-valued moment maps with applications to mathematics and physics, University of Adelaide [conference webpage]
Monodromy and orientifolds in T-duality via Courant algebroids
Contributed talk, String-Math 2011, University of Pennsylvania [conference webpage]
Topological T-duality with monodromy
2010
Invited seminar, Tohoku University, Sendai
Beyond Generalised geometry
Algebra seminar, University of Sydney
Mirror symmetry SYZ and special Lagrangians
Invited lecture, IGA Lecture Series, Introduction to Mirror Symmetry and the Fukaya Category,
University of Adelaide [conference webpage]
Moduli of special Lagrangian and coassociative submanifolds (2 lectures)
Collaborative workshop series on Integrability and Quantum Field Theory between the University of Melbourne and ANU (Jan-Jun 2010)
Moduli spaces of stable bundles and Hitchin systems
Invited lecture, New Currents in Geometry in Australia, University of Adelaide [conference website]
Coassociative submanifolds: deformations and fibrations
2020
Differential geometry seminar, The University of Adelaide
The alpha-invariant of spin complete intersections
2016
Geometry and Topology seminar, University of Sydney
Integrability of the moduli stack of parahoric Higgs bundles
Differential geometry seminar, University of Adelaide
Parahoric bundles, invariant theory and the Kazhdan-Lusztig map
Differential geometry seminar, University of Adelaide
How to count Betti numbers
2015
Differential geometry seminar, University of Adelaide
Monodromy of the Hitchin system and components of representation varieties
Differential geometry seminar, University of Adelaide
Vanishing lattices and moduli spaces
2014
Differential geometry seminar, University of Adelaide
Moduli spaces of contact instantons
Strings seminar, University of Adelaide
Fundamentals of L^p and Sobolev Spaces
Strings seminar, University of Adelaide
Sobolev spaces on compact manifolds
Strings seminar, University of Adelaide
Spin^c connections and their Dirac operators
Strings seminar, University of Adelaide
The Seiberg-Witten equations
Strings seminar, University of Adelaide
Compactness of the Seiberg-Witten moduli space
Strings seminar, University of Adelaide
Seiberg-Witten invariants of Kahler manifolds
Strings seminar, University of Adelaide
The Thom conjecture
2013
Differential geometry seminar, University of Adelaide
The Einstein equations with torsion, reduction and duality
Strings seminar, University of Adelaide
Rational homotopy theory and Kahler manifolds
2012
Differential geometry seminar, University of Adelaide
Variation of Hodge structure for generalized complex manifolds
Strings seminar, University of Adelaide
Constructions of hyperKahler manifolds
Strings seminar, University of Adelaide
ALE spaces and the McKay correspondence
Strings seminar, University of Adelaide
What are derived categories and why do we need them?
Strings seminar, University of Adelaide
Some differential geometric constructions via supermanifolds
2011
Differential geometry seminar, Australian National University
T-duality for general circle bundles
Differential geometry seminar, Australian National University
G2-manifolds and coassociative submanifolds
2010
Collaborative workshop series on Integrability and Quantum Field Theory between the University of Melbourne and the Australian National University (Jan-Jun 2010)
Moduli spaces of stable bundles and Hitchin systems
Geometry and Analysis seminar, Oxford University
Semi-flat G2-manifolds
2009
Geometry seminar, University of Queensland
G2-manifolds and coassociative fibrations
Junior Geometry seminar, Oxford University
Moduli of coassociative submanifolds
2008
Junior Geometry seminar, Oxford University
Parabolic geometries