Expository articlesNonlinear Algebra and Applicationswith T. Celik, T. Duff, A. Heaton, A. Maraj, A. Sattelberger, L. Venturello, and O. Yürük. Numerical Algebra, Optimization and Control (2021).
An algebraic geometry perspective on topological data analysis
3264 Conics in a Second

Mathematics of DataLine Multiview Varietieswith F. Rydell, E. Shehu and A. Torres. arXiv:2203.01694.
Learning Algebraic Varieties from Samples
Random points on an algebraic manifold
Algebraic Compressed Sensing
Sensitivity of lowrank matrix recovery


Computational Algebraic GeometryReal circles tangent to 3 conicswith J. Lindberg, G. Ong and L. Sommer. arXiv:2211.06876.
The algebraic degree of coupled oscillators
Certifying zeros of polynomial systems using interval arithmetic
Euclidean distance degree and mixed volume
Equations for GL invariant families of polynomials

Metric geometryEnumerative geometry of curvature of algebraic hypersurfaceswith K. Ranestad and M. Weinstein. arXiv2206.09130.
Facet volumes of polytopes
The zonoid algebra, generalized mixed volumes, and random determinants
On the geometry of the set of symmetric matrices with repeated eigenvalues

Random polynomialsAverage degree of the essential varietywith S. Fairchild, P. Santarsiero and E. Shehu. arXiv2212.01596.
Quantitative singularity theory for random polynomials
Random Spectrahedra
How Many Eigenvalues of a Random Symmetric Tensor are Real?
The expected number of eigenvalues of a real gaussian tensor
Distribution of the eigenvalues of a random system of homogeneous polynomials

Numerical analysis of tensor decompositionsThree decompositions of symmetric tensors have similar condition numberswith N. Dewaele and N. Vannieuwenhoven. Linear Algebra and its Applications (2023).
The condition number of many tensor decompositions is invariant under Tucker compression
The average condition number of most tensor rank decomposition problems is infinite
Pencilbased algorithms for tensor rank decomposition are not stable
On the average condition number of tensor rank decompositions
The condition number of join decompositions
An efficient randomized homotopy method to approximate eigenpairs of tensors

Riemannian optimizationThe condition number of Riemannian approximation problemswith N. Vannieuwenhoven. SIAM J. Optim. 31(1) (2021), 10491077.
A Riemannian trust region method for the canonical tensor rank approximation problem
Convergence analysis of RGN methods and its connection with the geometric condition number

On a padic Newton method.
Master's, GeorgAugust Universität Göttingen, 2013.
First supervisor: P. Mihailescu. Second supervisor: P. Bürgisser.