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.
https://orcid.org/0000-0001-6865-9483
See this page for a complete list of all of my published works.
Title: Linking topology and combinatorics: Width-type parameters of 3-manifold
Title: Discrete Algorithms for Geometric Topology
Title: Separation index of graphs and stacked 2-sphere
Title: Algorithms and complexity for Turaev-Viro invariants
Title: Random collapsibility and 3-sphere recognition
Title: Parameterised complexity theory for topological problems
Title: Geometrie und Topologie im Computeralgebrasystem GAP
Title: Tightness for triangulations
Title: Bounds for the genus of a normal surface
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)