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Publications

2024 H. and Myfanwy Evans: Robust geometric modeling of 3-periodic tensegrity frameworks using Riemannian optimization. SIAM Journal on Applied Algebra and Geometry 8.2
2022, Preprint Alex Heaton and H.: Computing Euclidean distance and maximum likelihood retraction maps for constrained optimization.


Theses

2021, Master Generalized Principal Component Analysis for Algebraic Varieties. Supervised by Bernd Sturmfels and Christian Haase.
2018, Bachelor Galois Groups and Fundamental Groups on Riemann Surfaces. Supervised by Shane Kelly and Klaus Altmann.


Presentations

2024, Talk Homotopy Continuation Methods for Equilibration and Deformation Path Computation. Code of Rigidity during the Special Semester on Rigidity and Flexibility, RICAM, Linz, Austria.
2024, Talk Exploring Gaussian Curvature Heterogeneity by Modeling Disorder in Minimal Surfaces. NBIA Workhop: A Copanhagen afternoon on geometry and topology in soft materials, Niels Bohr Institut, Copenhagen, Denmark.
2024, Talk Enhanced Geometrical Design for Cylinder Packings. Applied Algebra Seminar, TU Braunschweig, Germany.
2023, Poster Riemannian Optimization and Algebraic Varieties - a Contradiction? Conference on Applied Algebra, Universität Osnabrück.
2023, Talk Riemannian Optimization on Embedded Manifolds Using Homotopy Continuation. Workshop on Constraint Systems: Distance Geometry, Structured Polynomials, Matrix Completion and Kinematics, Fields Institute, Toronto.
2023, Talk A Tetrahedral Tensegrity Model for Filament Packings". Workshop on Geometric Constraints: Materials, Graphs and Matroids, Rigidity and Packings, Fields Institute, Toronto.
2023, Talk Framework Materials and Cylinder Packings. SIAM Chapter, Potsdam.
2022, Poster Towards a Robust Tensegrity Model for the Mechanics of Filament Packings. The interdisciplinary world of tangling conference, Universität Potsdam.
2020, Talk Generalized Principal Component Analysis for Algebraic Varieties. Facets of Complexity: Monday Lecture and Colloquium, TU Berlin.


Software Projects

2024 PyRigi: A general-purpose Python package concerning the rigidity and flexibility of bar-and-joint frameworks.
2023 DisorderedPointClusters.jl: A package to create disordered, yet hyperuniform point sets to ultimately generate disordered minimal surfaces.
2022 HomotopyOpt.jl: A collection of methods to solve optimization problems with polynomial constraints (Collaboration with Alex Heaton)
2021 TensegrityEquilibria.jl: A Julia package for computations concerning Tensegrity Frameworks. For example, their equilibrium configurations and their catastrophe sets
2021 Implicit3DPlotting.jl: A plotting package for implicitly defined space curves and surfaces. It is based on Makie.jl and Meshing.jl
2020 LearnVanishingIdeal.jl: A Julia package for learning an algebraic variety from point clouds that respects the underlying geometry


Conferences

2024 MEGA - Effective Methods in Algebraic Geometry (MPI Leipzig, Germany)
2024 Special Semester on Rigidity and Flexibility (RICAM Linz, Austria)
2024 A Copenhagen Afternoon on Geometry and Topology in Soft Materials (Niels Bohr Institute, University of Copenhagen, Denmark)
2023 DGD Days on Discretization in Geometry and Dynamics (TU München, Germany)
2023 Conference on Applied Algebra (Osnabrück, Germany)
2023 Focus Program on Geometric Constraint Systems (Fields Institute Toronto, Canada)
2023 MSRI Research School on Algebraic Methods for Biochemical Reaction Networks (Leipzig, Germany)
2022 Interdisciplinary Summer School on Surfaces (Chiemsee, Germany)
2022 PhD School on Geometry and Topology in Contemporary Material Science (Copenhagen, Denmark)
2022 LMS Research School on Rigidity, Flexibility and Applications (Lancaster, United Kingdom)
2022 BMS Summer School on Geometry and Topology in a Discrete Setting (Berlin Mathematical School, Germany)
2021 Thematic Program on Geometric Constraint Systems, Framework Rigidity and Distance Geometry (Fields Institute Toronto, Canada)
2019 Fall School, Conference and Research Retreat of the Thematic Einstein Semester Varieties, Polyhedra and Computations (Math+ Berlin, Germany)


The tetrahedral model for filament packings