SMRI Seminar. Sydney Mathematical Research Institute (SMRI).
Features colloquium-style talks presented by visitors to SMRI.
A practical algorithm for knot factorisation. The 41st International Symposium on Computational Geometry (SoCG 2025). 27 June 2025. Slides.
Finding large counterexamples by selectively exploring the Pachner graph. The 39th International Symposium on Computational Geometry (SoCG 2023). 13 June 2023. Slides. Video.
Selectively searching the Pachner graph. Oberwolfach Workshop 2303, Low-dimensional Topology. 17 January 2023. Extended abstract included in Oberwolfach Report No. 3/2023.
Invited.
Greedy retriangulation II: tunnels and handlebodies. 66th Annual Meeting of the Australian Mathematical Society, Topology Session. 7 December 2022. Slides.
Honourable mention for the B. H. Neumann Prize for the best student talk at the 2022 AustMS meeting.
TBD. UNSW Pure Maths Seminar. 22 Sep 2026 (upcoming).
A computational arms race in knot theory: Algorithms vs examples. The University of Sydney Geometry & Topology Seminar. 13 May 2026. Slides.
Practical 3-manifold algorithms using ideal loops. UIUC Groups, Geometry, and Topology (GGT) Seminar. 6 February 2025. Slides.
3-manifold algorithms in theory and in practice. OSU Mathematics Colloquium. 22 November 2024. Slides.
Algorithmic recognition of prime and composite knots. OSU Topology Seminar. 10 September 2024. Slides.
The triangulation complexity of satellite knots. 67th Annual Meeting of the Australian Mathematical Society, Topology Session. 6 December 2023. Slides.
Reconfiguration in computational 3-manifold topology. PhD Progress Review 3. 13 September 2023. Slides.
Arc diagrams for knots in an arbitrary 3-manifold. UQ graduate student seminar. 11 August 2023.
Minimal triangulations of satellite knots. Monash Topology Seminar. 19 July 2023.
Invited.
Crushing essential tori in complements of satellite knots. Geometric Topology Grad and Postdoc Seminar (GT GAPS). 15 March 2023. Scribbles from the talk.
Invited.
Practical algorithms in 3-manifold topology.
I have given several versions of this talk. More recent versions mention newer work, and were also updated for the different audiences.
Rutgers Mathematics Colloquium. 1 October 2025. Slides.
UC Davis Geometry/Topology Seminar. 6 May 2025. Slides.
Fall 2024 Redbud Topology Conference. 26 October 2024. Slides.
MATRIX Workshop: Dynamics, Foliations, and Geometry III. 23 February 2023. Slides.
Heuristics in computational 3-manifold topology, and counterexamples for triangulations. PhD Progress Review 2. 31 August 2022. Slides.
Local crushing. MATRIX PhD Student Symposium: Graduate Talks in Geometry and Topology ((GT)^2). 8 March 2022. Scribbles from the talk. Video.
Greedy retriangulation of 3-manifolds. 65th Annual Meeting of the Australian Mathematical Society, Topology Session. 7 December 2021. Slides.
Playing with paths in the Pachner graph. MATRIX-MFO Tandem Workshop: Invariants and Structures in Low-Dimensional Topology. 10 September 2021. Slides.
Connecting 3-manifold triangulations with monotonic sequences of elementary moves.
The way I have presented this material has evolved with time, and has also depended on the target audience. Here are all the different versions of the talk:
Graduate Talks in Geometry and Topology ((GT)^2). 23 November 2021. Slides. Video.
PhD Confirmation Seminar. 8 August 2021. Slides.
Computational Geometry: Young Researchers Forum (CG:YRF) 2021. 8 June 2021. Extended abstract. Slides.
Spring 2021 Redbud Topology Conference. 7 March 2021. Slides. Video.
Invited.
On the hardness of finding normal surfaces. Graduate Talks in Geometry and Topology ((GT)^2). 27 April 2021. Slides. Video.
Normal surface theory. Honours talk. 24 October 2019. Slides.
An intuitive introduction to classifying 3-manifolds. Learning seminar series on 3-manifold topology, which was part of the OSU Topology Seminar in Fall 2024. 24 September 2024.
Some dangerous problems in algorithmic 3-manifold topology. UQ graduate student seminar. 15 March 2024.
Mini-course on crushing. Monash University, Clayton campus. Three-part series:
Part 1: 17 July 2023.
Part 2: 19 July 2023.
Part 3: 21 July 2023.
What is the Graph Isomorphism Theorem?. UQ "What is ... ? Seminar" (WiSe).18 September 2020. Notes. Supplementary material.
Dagstuhl-Seminar 26122 – Intractability in Discrete Geometry and Topology. Schloss Dagstuhl – Leibniz-Zentrum für Informatik, March 2026 (in-person).
Dagstuhl-Seminar 24072 – Triangulations in Geometry and Topology. Schloss Dagstuhl – Leibniz-Zentrum für Informatik, February 2024 (in-person).
Dynamics, Foliations, and Geometry III. MATRIX, February 2023 (in-person).
Oberwolfach Workshop 2303 – Low-dimensional Topology. Mathematisches Forschungsinstitut Oberwolfach, January 2023 (in-person).
PhD Student Symposium: Graduate Talks in Geometry and Topology Get-Together, or (GT)^3. MATRIX, July 2022 (in-person).
MATRIX-MFO Tandem Workshop: Invariants and Structures in Low-Dimensional Topology. MATRIX, September 2021 (virtual).
Computational problems in low-dimensional topology. Centre International de Rencontres Mathématiques (CIRM), February 2027 (in-person, upcoming).
Computational problems about 3-manifolds, associated groups and varieties. Rutgers University–Newark, October 2025 (in-person).
The 41st International Symposium on Computational Geometry (SoCG 2025). Kanazawa, June 2025 (in-person).
Spring 2025 Redbud Topology Conference. University of Arkansas, March 2025 (in-person).
Fall 2024 Redbud Topology Conference. University of Oklahoma, October 2024 (in-person).
67th Annual Meeting of the Australian Mathematical Society. The University of Queensland, December 2023 (in-person).
Computational Geometry Week (CG Week) 2023, including the 39th International Symposium on Computational Geometry (SoCG 2023). The University of Texas at Dallas, June 2023 (in-person).
Computational Problems in Low-Dimensional Topology III. Rutgers University–Newark, April 2023 (in-person).
66th Annual Meeting of the Australian Mathematical Society. University of New South Wales, December 2022 (in-person).
65th Annual Meeting of the Australian Mathematical Society. University of Newcastle, December 2021 (virtual).
Knot Days Virtual Summer School at ANU. Australian National University, November 2021 (virtual).
Computational Geometry Week (CG Week) 2021. State University of New York at Buffalo, June 2021 (virtual).
Spring 2021 Redbud Topology Conference. Oklahoma State University, March 2021 (virtual).