Research output per year
Research output per year
De Boelelaan 1111, New University Building (NU)
1081 HV Amsterdam
Netherlands
Spatial graphs are embeddings of graphs in 3-manifolds. Graphs in themselves are purely combinatorial objects. However, in the tangible world around us, graphs manifest as physical objects in physical space. Properties of these spatial graphs are dependent on both the abstract underlying graphs and their specific realizations in space, which places their study between graph theory and knot theory. I am working interdisciplinary to model shapes in physics, biology, and in particular chemistry and material sciences.
I study entanglements in spatial graphs and their embeddings in surfaces, often motivated by applications. Embeddings of graphs are traditionally used to describe molecules. But shapes are also found at many other places, such as in the form of pores in porous materials, or the shapes of potential energy surfaces and charge densities. I use geometrical and topological tools to e.g. develop descriptor of arrangements, model (diffusion) networks, quantify discorder, detect topologically critical values, quantify geometric-topological similarities, study crystal net topologies and their tilings.
Group members:
Fabio Buccoliero PhD student working on cellular embeddings of spatial graphs.
Hannes Gustafsson PhD student co-supervised with Amber Mace (Uppsala Universitet) developing a cost-efficient multi-scale model for diffusion in crystalline materials.
Riya Dogra PhD student working on the topology of molecular braids.
Possible master thesis topics, contact me if you are interested (ideally at the begin of your master studies):
Teaching 2023\2024:
Mathematics 2 for BSc Creative Technology
Mathematics 3 for BSc Creative Technology
Calculus 2 for BSc Business Analytics
Differential Topology for BSc Mathematics
Winter School 'Introduction to Topological Data Analysis'
BSc Math project supervision 'Analysing relations between musical scales and cycles using filtered point symmetry'
MSc Business analytics project co-supervision: 'Assortment planning at IKEA'
In Amsterdam, I taught so far
Differential Topology for BSc Mathematics
Previously,
I have taught or assisted the following courses
Previously at the VU Amsterdam:
VPR committee (outreach, communication, open days, webmaster, etc)
Reviewing for:
I was born and raised in Berlin, Germany. Before coming to Amsterdam, I lived in Switzerland, Austria, England, Japan (for a summer research stay), South Africa, and Germany. My scientific CV:
In a parallel life I graduated in
and worked as instrumental teacher and general music educator at the Musikschule Fanny Hensel Berlin (2007-2009) and at the Keiskamma Music Academy in Hamburg, South Africa (for 6 months in 2010). I taught recorder in groups and individually, gave ensemble lessons, taught music theory, history, and improvisation. My students won the Grahamtown Eisteddfod and we toured South Africa in concert. I won the first price of the South African "Rising star" music competition. After returning to Europe, I co-founded a recorder ensemble. We were awarded a Yehudi Menuhin fellowship 2011-2015 and performed in concerts.
No ancillary activities
Ancillary activities are updated daily
In 2015, UN member states agreed to 17 global Sustainable Development Goals (SDGs) to end poverty, protect the planet and ensure prosperity for all. This person’s work contributes towards the following SDG(s):
Research output: Contribution to Journal › Article › Academic › peer-review
Research output: Contribution to Journal › Article › Academic › peer-review
Research output: Contribution to Journal › Article › Academic › peer-review
Research output: Contribution to Journal › Article › Academic › peer-review
Research output: Contribution to Journal › Article › Academic › peer-review