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My research interests are motivated by the study of manifolds (i.e., surfaces and their higher-dimensional analogues). For this, I use a blend of techniques from mathematical fields such as low-dimensional topology and combinatorics, tools from computer science, such as parameterised complexity theory, as well as practical skills from algorithm design and the development of mathematical software.
Here are the slides of two versions of one talk highlighting algorithmic and topological aspects of my work.
Table of contents for this page
Table of contents for this page
My arXiv page
My arXiv page
My ORCID profile
My ORCID profile
https://orcid.org/0000-0001-6865-9483
See this page for a complete list of all of my published works.
My Google Scholar profile
My Google Scholar profile
Selected talks
Selected talks
width.pdfOct 2019: Talk at the Pure Maths Seminar, The University of Queensland, Brisbane, Australia.
Oct 2019: Talk at the Pure Maths Seminar, The University of Queensland, Brisbane, Australia.
Title: Linking topology and combinatorics: Width-type parameters of 3-manifold
algo.pdfMay 2019: Talk at Sydney Algorithms Group Seminar, The University of Sydney, Australia.
May 2019: Talk at Sydney Algorithms Group Seminar, The University of Sydney, Australia.
Title: Discrete Algorithms for Geometric Topology
accmcc.pdfDec 2015: Talk at the 39th Australasian Conference on Combinatorial Mathematics and Combinatorial Computing, Brisbane, Australia.
Dec 2015: Talk at the 39th Australasian Conference on Combinatorial Mathematics and Combinatorial Computing, Brisbane, Australia.
Title: Separation index of graphs and stacked 2-sphere
tvinv.pdfOct 2015: Talk at Institute for Science and Technology, Klosterneuburg, Austria.
Oct 2015: Talk at Institute for Science and Technology, Klosterneuburg, Austria.
Title: Algorithms and complexity for Turaev-Viro invariants
coll.pdfOct 2015: Presentation at Mathematical Research Institute Oberwolfach, see extended abstract above.
Oct 2015: Presentation at Mathematical Research Institute Oberwolfach, see extended abstract above.
Title: Random collapsibility and 3-sphere recognition
param.pdfJun 2015: Talk at Freie Universität Berlin, Germany.
Jun 2015: Talk at Freie Universität Berlin, Germany.
Title: Parameterised complexity theory for topological problems
geomtop.pdfFeb 2015: Talk at University of Ulm, Germany.
Feb 2015: Talk at University of Ulm, Germany.
Title: Geometrie und Topologie im Computeralgebrasystem GAP
tight.pdfDec 2014: Talk at the University of Melbourne
Dec 2014: Talk at the University of Melbourne
Title: Tightness for triangulations
bounds.pdfApr 2014: Talk at the Computational and Algorithmic Topology workshop (CATS), Sydney, Australia.
Apr 2014: Talk at the Computational and Algorithmic Topology workshop (CATS), Sydney, Australia.
Title: Bounds for the genus of a normal surface
Selected Workshops and Conferences
Selected Workshops and Conferences
This workshop at The University of Sydney will bring together experts and emerging researchers from Australia, the USA and Europe to report on recent results and explore future directions in computational and algorithmic topology and related areas. There will be a focus on problems in computational geometric topology and computational algebraic topology. This workshop aims to stimulate interaction between researchers in order to bring about new collaborations on difficult problems that cannot be tackled from one viewpoint alone.
Organisers:
Jonathan Spreer (The University of Sydney)
Stephan Tillmann (The University of Sydney)
Katharine Turner (Australian National University)
This will be a three day workshop on Geometric and Topological Combinatorics, with lectures in the morning and time for discussions and networking in the afternoons. It is primarily funded by the Einstein Foundation Berlin, as part of Francisco Santos' Einstein Visiting Fellowship within the Discrete Geometry Group at FU Berlin for 2016-2019. Additional funding is provided by the project Discretization in Geometry and Dynamics (SFB Transregio 109) and the Berlin Mathematical School.
Organisers:
Giulia Codenotti (Freie Universität Berlin)
Jean-Philippe Labbé (Freie Universität Berlin)
Jorge Alberto Olarte (then Freie Universität Berlin)
Francisco Santos (Universidad de Cantabria)
Jonathan Spreer (then Freie Universität Berlin)
This will be a four day workshop with lectures, presentations and informal discussions on discrete geometry and topology, and related topics (combinatorial topology, computational geometry, polytope theory). It is primarily funded by the Einstein Foundation Berlin, as part of Francisco Santos' Einstein Visiting Fellowship at FU Berlin for 2016-2019. Additional funding is provided by the project Discretization in Geometry and Dynamics (SFB Transregio 109) and the Berlin Mathematical School.
Organisers:
Michael Joswig (Technische Universität Berlin)
Francisco Santos (Universidad de Cantabria)
Jonathan Spreer (then Freie Universität Berlin)
Günter Ziegler (Freie Universität Berlin)
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