invited lecture series

• Character varieties, A-polynomials and Knots, Australian National University, Australia (June 2021)
• Character varieties, Okinawa Institute of Science and Technology Graduate University, Japan (March 2019)
• Triangulations and combinatorial differential geometry, MSC Tsinghua University, China (July 2014)
• Real projective manifolds, MSC Tsinghua University, China (July 2012)
• Geometry & Groups, AMSI Summer School, University of New South Wales (January 2012)
• Varieties associated to 3-manifolds, Melbourne Summer School, The University of Melbourne (January 2001)

conference, colloquium and seminar talks

I stopped updating this list in 2023...

2022

Algebra, Geometry and Physics Seminar, Max Planck Institut für Mathematik, Bonn, Germany, 13 December 2022
Title: On the topology of character varieties of once-punctured torus bundles
Low-dimensional Topology Seminar, Max Planck Institut für Mathematik, Bonn, Germany, 17 November 2022
Title: Volume of representations
Geometry and Topology Seminar, Institut de Mathématiques de Jussieu, Paris, France, 27 October 2022
Title: On the topology of character varieties of once-punctured torus bundles
Structures on Surfaces, CIRM, Luminy, France, 5 May 2022
Title: The things one finds in Fock-Goncharov coordinates (recording)
Virtual Geometric Structures Seminar, IISER Mohali, India, 18 February 2022 (online)
Title: What is the Thurston norm?
Mathematics Colloquium, IISER Mohali, India, 18 February 2022 (online)
Title: Moduli spaces of projective structures on manifolds

2021

SMRI Seminar, The University of Sydney, Australia, 20 May 2021 (hybrid)
Title: A cell-decomopsition of decorated moduli space of punctured surfaces
Geometric Methods for Analyzing Discrete Shapes, Center of Mathematics Sciences and Applications (CMSA) at Harvard University, 7-9 May 2021 (online)
Title: Canonical cell decompositions for punctured real projective surfaces
Topology Seminar, UCSB, USA, 28 April 2021 (online)
Title: A cell-decomopsition of decorated moduli space of punctured surfaces
Topics at the Interface of Low Dimensional Group Actions and Geometric Structures, National University of Singapore, Singapore, 11-15 January 2021 (online)
Title: The space of properly convex projective structures

2020

Annual Meeting of the Australian Mathematical Society, Armidale, Australia, 9 December 2020 (online)
Title: The space of properly convex projective structures
Topology Seminar, Monash University, Melbourne, Australia, 4 March 2020.
Title: A cell-decomopsition of decorated moduli space of punctured surfaces

2019

Hyper-JARCS, The University of Tokyo, Tokyo, Japan, 2-6 December 2019.
Title: A cell-decomopsition of decorated moduli space of punctured surfaces
Seminar Diskrete Geometrie, TU Berlin, 3 July 2019
Title: Minimal triangulations of cusped hyperbolic 3-manifolds
Colloquium, University of Queensland, 13 March 2019
Title: Three angles on tropical geometry

2018

Classical and Quantum 3-Manifold Topology, Monash University, Melbourne, Australia, 17-21 December 2018.
Title: The things one finds in Fock-Goncharov coordinates
Seminar Diskrete Geometrie, TU Berlin, 18 July 2018
Title: What is the Thurston norm?
Growth in Topology and Number Theory, Hausdorff Center for Mathematics, Bonn, Germany, 9-13 July 2018.
Title: Thurston norm via spun-normal surfaces
Geometry and Topology of 3-manifolds, Okinawa Institute of Science and Technology, Japan, 25-28 May 2018.
Title: Structure of minimal triangulations
Pure Mathematics Seminar, University of Melbourne, 18 May 2018
Title: Three angles on tropical geometry
Colloquium, University of Technology Sydney, 2 May 2018
Title: Complexity of 3–manifolds
Colloquium, University of Adelaide, 23 March 2018
Title: Complexity of 3–manifolds
Differential Geometry Seminar, University of Adelaide, 23 March 2018
Title: Computing trisections of 4–manifolds

2017

SFB Colloquium, Discretization in Geometry and Dynamics, TU Berlin, 21 November 2017
Title: Complexity of 3-manifolds
DGD Days 2017, Keynote speaker, Akademiezentrum Raitenhaslach, Burghausen, Germany, 4-6 October 2017.
Title: Computing trisections of 4–manifolds
Discrete Geometry Seminar, Freie Universität Berlin, Germany, 21 September 2017.
Title: Computing trisections of 4–manifolds
Séminaire Géométrie, Dynamique et Topologie, Université d'Aix-Marseille I, France, 4 September 2017.
Title: Computing trisections of 4–manifolds
6th Minisymposium on Computational Topology, Keynote speaker, University of Queensland, Australia, 4-7 July 2017.
Title: Computing trisections of 4–manifolds
SFB Higher Invariants Seminar, Universität Regensburg, Germany, 13 January 2017.
Title: Moduli spaces of projective structures on manifolds
Colloquium of the RTG Asymptotic Invariants and Limits of Groups and Spaces, Universität Heidelberg, Germany, 10 January 2017.
Title: Moduli spaces of projective structures on manifolds

2016

Low-Dimensional Topology and Quantum Algebra, ANU, Australia, 31 October and 1 November 2016.
Title 1: Why be happy when you could be normal?
Title 2: Multisections of manifolds
Geometry & Topology Seminar, University of Sydney, Australia, 5 October 2016
Title: Multisections of Manifolds
Geometric Topology and Dynamics, First Joint Meeting Brazil-Italy in Mathematics, Rio de Janeiro, Brazil, 31 August 2016.
Title: Tessellating moduli spaces of strictly convex projective structures
Algebra/Geometry/Topology Seminar, The University of Melbourne, Melbourne, Australia, 24 June 2016.
Title: Deformations and limits of properly convex projective manifolds
Topology Seminar, Monash University, Melbourne, Australia, 23 June 2016.
Title: On a marked polytope for 2-generator 1-relator groups
Hyperbolic geometry and related topics, KIAS, Korea, 18 and 20 April 2016.
Title: Multisections of manifolds I, II

2015

Analysis and Geometry in non-Riemannian spaces, University of New South Wales, Sydney, Australia, 3 November 2015.
Title: Projective structures on manifolds
CURVE: Representations of 3-manifold groups, geometric structures and exact computations, Institut de Mathématiques de Jussieu, Paris, France, 26 June 2015.
Title: Tropical geometry, normal surfaces and the character variety
Geometry, groups and 3-manifolds, Berkeley, USA, 22 May 2015.
Title: Multisections of manifolds
Seminaire Topologie, Institut Fourier, Grenoble, France, 16 January 2015
Title: Thurston norm via Fox calculus

2014

Seminaire Structures Géométriques, Institut de Mathématiques de Jussieu, Paris, France, 19 December 2014
Title: Genus bounds for normal surfaces
Topology and Representation Theory at Kioloa, ANU Coastal Campus at Kioloa, Australia, 9-14 November 2014
Title: Thurston norm via Fox calculus
Geometry on Groups and Spaces, KAIST, Daejeon, Korea, 8 August 2014
Title: Thurston norm via Fox calculus
Topology Seminar, Peking University, Beijing, China, 15 July 2014
Title: Genus bounds for normal surfaces
Sydney Algorithms and Computing Theory, School of IT, University of Sydney, Australia, 27 May 2014
Title: Genus bounds for normal surfaces
Knot theory: Algorithms, complexity and computation, National Institute of Informatics, Shonan, Japan, 28 April 2014
Title: Genus bounds for normal surfaces
Analysis-Geometry-Topology Seminar, University of Sydney, Australia, 24 July 2012
Title: Normal Surfaces in 3-Manifolds: Algorithms, Experiments and Questions
Topology/Geometry Seminar, Max Planck Institut für Mathematik, Bonn, Germany, 3 February 2014
Title: Normal Surfaces in 3-Manifolds: Algorithms, Experiments and Questions

2013

Topology, Geometry and Group Theory, Informed by Experiment, ICERM Brown University, USA, 23 October 2013
Title: A new combinatorial class of triangulations
Annual Meeting of the Australian Mathematical Society, Sydney, Australia, 3 October 2013
Title: Computing closed essential surfaces in 3-manifolds
Australian-Japanese Workshop on Real and Complex Singularities, University of Sydney, Australia, 11 September 2013
Title: Doing algebraic geometry with shapes of tetrahedra, volume and eigenvalues
Low-dimensional Topology and Geometry in Toulouse, Université Paul Sabatier, Toulouse, France, 25 June 2013
Title: Computing closed essential surfaces in 3-manifolds
Algebra-Geometry-Topology Seminar, University of Melbourne, Australia, 22 February 2013
Title: Combinatorics of Triangulations and Volume Optimisation

2012

GTA Mini-Workshop – Geometry and Topology, University of Sydney, Australia, 10 December 2012
Title: An algorithm to decide whether a 3-manifold admits a hyperbolic structure of finite volume
Geometry Seminar, University of Sydney, Australia, 24 July 2012
Title: Finite volume projective manifolds II
Group Actions Seminar, University of Sydney, Australia, 20 June 2012
Title: Finite volume projective manifolds
Math Literature Seminar, Mathematical Sciences Center, Tsinghua University, China, 6 July 2012
Title: Three angles on tropical geometry
Algorithmic Discrete Mathematics Seminar, TU Darmstadt, Germany, 11 May 2012
Title: Cross ratios, representations and valuations
Triangulations, Mathematisches Forschungsinstitut Oberwolfach, Germany, 4 May 2012
Title: Structure of 0–efficient or minimal triangulations
Algebra-Geometry-Topology Seminar, University of Melbourne, Australia, 9 March 2012
Title: Finite volume projective manifolds

2011

Differential Geometry Seminar, University of Adelaide, Australia, 21 November 2011
Title: Applications of tropical geometry to groups and manifolds
Algebra, Combinatorics and Topology Seminar, University of Queensland, Australia, 4 October 2011
Title: The Margulis lemma for properly convex projective manifolds
Group-valued moment maps with applications to mathematics and physics, University of Adelaide, Australia, 5 September 2011
Title: Volume optimisation on triangulated 3-manifolds
Faces of Geometry: 3-Manifolds, Groups & Singularities, Columbia University, New York, USA, 6 June 2011
Title: The Margulis lemma for properly convex projective manifolds
CARMA Colloquium, University of Newcastle, Australia, 19 May 2011
Title: What is the Thurston norm?
Research Seminar, The University of Sydney, Australia, 25 February 2011
Title: Algorithms for 3-manifolds
Low Dimensional Topology Seminar, Max Planck Institut für Mathematik, Bonn, Germany, 31 January 2011
Title: Volume of Representations: Definition and Applications
Oberseminar Geometrie, Topologie und Analysis, Universität zu Köln, Germany, 28 January 2011
Title: Volume optimisation on triangulated 3-manifolds
Topics in Topology, Max Planck Institut für Mathematik, Bonn, Germany, 24 January 2011
Title: Volume optimisation on triangulated 3-manifolds
Oberseminar Analysis, Geometrie und Physik, Freie Universität Berlin, Germany, 18 January 2011
Title: Volume optimisation on triangulated 3-manifolds

2010

Algorithmic Discrete Mathematics Seminar, TU Darmstadt, Germany, 20 December 2010
Title: Algorithmen für 3-Mannigfaltigkeiten
Annual Meeting of the Australian Mathematical Society, Brisbane, Australia, 30 September 2010
Title: Pseudo-developing maps for ideal triangulations
Algebra, Combinatorics and Topology Seminar, University of Queensland, Australia, 3 August 2010
Title: Volume of representations
Topology And Geometry in Dimension Three, Oklahoma State University, Stillwater, USA, 6 June 2010
Title: Remarks on the deformation variety
Character Varieties in the Geometry and Topology of Low-dimensional Manifolds, BIRS, Banff, Canada, 26 April 2010
Title: Representations of closed 3-manifold groups
Algebra Seminar, University of Sydney, Australia, 9 April 2010
Title: Volume of representations
Algebra-Geometry-Topology Seminar, University of Melbourne, Australia, 15 February 2010
Title: Spinning, Straightening and the Recognition of Closed Hyperbolic 3-Manifolds
Algebra, Combinatorics and Topology Seminar, University of Queensland, Australia, 2 February 2010
Title: Spinning, Straightening and the Recognition of Closed Hyperbolic 3-Manifolds

2009

Tropical Structures in Geometry and Physics, MSRI, Berkeley, USA, 4 December 2009
Title: The Hilbert geometry of the n-simplex
Annual Meeting of the Australian Mathematical Society, Adelaide, Australia, 30 September 2009
Title: An extension of the BNS invariant using Morse theory
Algebra and Combinatorics Seminar, University of Queensland, Australia, 18 August 2009
Title: Bounds for the complexity of 3-manifolds, Part 2
Joint Colloquium, University of Sydney and University of NSW, Australia, 14 August 2009
Title: Complexity of 3-manifolds
Algebra and Combinatorics Seminar, University of Queensland, Australia, 11 August 2009
Title: Bounds for the complexity of 3-manifolds, Part 1
Workshop on 3-manifolds, East China Normal University, Shanghai, China, 13 July 2009
Title: Volume of representations
Topology Seminar, University of California at Santa Barbara, USA, 28 April 2009
Title: Bounds for the complexity of 3-manifolds

2008

Departmental Seminar, University of Queensland, Brisbane, Australia, 5 November 2008
Title: Algorithmic geometry and topology
Victorian Algebra Conference, RMIT, Australia, 2-3 October 2008
Title: A generalisation of the BNS invariant
Joint Colloquium, University of Sydney and University of NSW, Australia, 26 September 2008
Title: What is the Thurston norm?
Low dimensional topology seminar, UQAM, Montréal, Canada, 22 April 2008
Title: Minimal triangulations for an infinite family of lens spaces
Topology Seminar, Oklahoma State University, Stillwater, USA, 10 April 2008
Title: Minimal triangulations for an infinite family of lens spaces
Geometry and Topology Seminar, University of Oklahoma, Norman, USA, 9 April 2008
Title: Applications of tropical geometry to groups and manifolds
Topology Seminar, University of California at Santa Barbara, USA, 2 April 2008
Title: Minimal triangulations for an infinite family of lens spaces

2007

Tropical Geometry, Mathematisches Forschungsinstitut Oberwolfach, Germany, 13 December 2007
Title: Applications of tropical geometry to groups and manifolds
MSI Colloquium, ANU Canberra, Australia, 8 November 2007
Title: Tropical geometry, group actions and 3-manifolds
Annual Meeting of the Australian Mathematical Society, Melbourne, Australia, 28 September 2007
Title: The Thurston norm via normal surfaces
3-manifold geometry and topology, Warwick, England, 9 July 2007
Title: The Thurston norm via normal surfaces
International Conference on Geometric Topology and Geometric Analysis, CMS, Zhejiang University, Hangzhou, China, 28 June 2007
Title: Spun-normal surfaces and the boundary curve map
Geometric Topology Conference, Beijing, China, 18 June 2007
Title: The Thurston norm via normal surfaces
Topology/Geometry Seminar, Yale, USA, 26 April 2007
Title: The Thurston norm via normal surfaces
Geometry/Topology Seminar, Rutgers New Brunswick, USA, 17 April 2007
Title: The Thurston norm via normal surfaces
Geometry Seminar, Boston University, USA, 11 April 2007
Title: Volume of representations
Geometric Group Theory and Topology Seminar, Tufts University, Boston, USA, 10 April 2007
Title: The Thurston norm via normal surfaces
Topology Seminar, Oklahoma State University, Stillwater, USA, 8 March 2007
Title: Normal surfaces and the Thurston norm
Topology Seminar, Rice University, Houston, USA, 26 February 2007
Title: Volume of representations

2006

Topology/Geometry Seminar, Yale, USA, 16 November 2006
Title: Volume of representations
Geometry/Topology Seminar, Rutgers New Brunswick, USA, 14 November 2006
Title: Volume of representations
Geometry/Topology Seminar, The University of Melbourne, Australia, 9 October 2006
Title: Volume of representations
Annual Meeting of the Australian Mathematical Society, Sydney, Australia, 29 September 2006
Title: Volume of representations
Oberseminar Topologie, Max Planck Institut, Bonn, Germany, 14 August 2006
Title: When ideal characters are tropical...
3-manifolds after Perelman, Edinburgh, Scotland, 16 March 2006
Title: When ideal characters are tropical...
Topology Seminar, UCSB, USA, 24 February 2006
Title: Angle structures and normal surfaces
Seminaire CIRGET, UQAM, Montréal, Canada, 17 February 2006
Title: Angle structures and geometric splittings
Manifolds at Melbourne, Melbourne, Australia, 17 January 2006
Title: Angle structures and geometric splittings

2005

Geometric Topology Seminar, Columbia University, New York, USA, 7 October 2005
Title: Angle structures and normal surfaces
Annual Meeting of the Canadian Mathematical Society, Waterloo, Canada, 4-6 June 2005
Title: Angle structures and geometric splittings
Topology/Geometry Seminar, McMaster, Hamilton, Canada, 7 March 2005
Title: Normal surfaces, angle structures and the character variety
Topology Seminar, Yale University, New Haven, USA, 24 February 2005
Title: Normal surfaces, angle structures and the character variety
Topology Seminar, UT Austin, USA, 14 February 2005
Title: Normal surfaces, angle structures and the character variety

2004

Geometry/Topology Seminar, SUNY Buffalo, USA, 29 October 2004
Title: A birationality result for character varieties
Sectional Meeting of the American Mathematical Society, Nashville, USA, 16 October 2004
Title: A birationality result for character varieties
Canada-France Meeting of Mathematics, Toulouse, France, 15 July 2004
Title: Normal surfaces, angle structures and the character variety
Topology Seminar, University of California at Santa Barbara, USA, 21 May 2004
Title: Normal surfaces, angle structures and the character variety
Three-Manifolds Seminar, University of Illinois at Chicago, USA, 3 March 2004
Title: Degeneration of hyperbolic structures and normal surfaces in 3-manifolds

2003

Seminaire CIRGET, UQAM, Montréal, Canada, 26 September 2003
Title: Degeneration of hyperbolic structures and normal surfaces in 3-manifolds
Conference on Topology, Mathematical Sciences Institute, Canberra, Australia, 24 July 2003
Title: Boundary slopes and the logarithmic limit set

2001

Poincaré Seminar, Rutgers University, Newark, New Jersey, USA, 31 October 2001
Title: On Deformations of hyperbolic structures and normal surface theory
Geometric Topology Seminar, Columbia University, New York, USA, 19 October 2001
Title: On Deformations of hyperbolic structures and normal surface theory
Albany Group Theory Conference, New York, USA, 14 October 2001
Title: Deformations of hyperbolic structures and normal surface theory
Annual Meeting of the Australian Mathematical Society, Canberra, Australia, 24 September 2001
Title: Deformations of hyperbolic structures and normal surface theory

2000

Geometric Topology Seminar, Columbia University, New York, USA, 24 March 2000
Title: On the Kinoshita-Terasaka knot and generalised Conway mutation

1999

Algebra and Topology Seminar, The University of Melbourne, Australia, September 1999
Title: On the Kinoshita-Terasaka knot and generalised Conway mutation
CMA National Research Symposium on Algebraic Geometry and Applications, Canberra, Australia, 20 July 1999
Title: On character varieties of mutative 3-manifolds