My talk "What is... a condition number?" in the BMS student's seminar was recorded on video and you can watch it here.

The average condition number of most tensor rank decomposition problems
is infinite

with C. Beltran and N. Vannieuwenhoven. Preprint 2019; arXiv1903.05527.

3264 Conics in a Second

with B. Sturmfels and S. Timme. Preprint 2019; arXiv1902.05518.

Sampling from the uniform distribution on an algebraic manifold

with O. Marigliano. Preprint 2018; arXiv1810.06271.

Pencil-based algorithms for tensor rank decomposition are not stable

with C. Beltran and N. Vannieuwenhoven. SIAM J. Matrix Anal. and Appl. (accepted).

On the geometry of the set of symmetric matrices with repeated eigenvalues

with K. Kozhasov and A. Lerario. Arnold Mathematical Journal (2019).

Learning Algebraic Varieties from Samples

with B. Sturmfels, S. Kališnik Verovšek and M. Weinstein. Rev. Mat. Compl. 31 (2018), 545-593.

On the average condition number of tensor rank decompositions

with N. Vannieuwenhoven. Preprint, 2018; arXiv1801.01673.

Random Spectrahedra

with K. Kozhasov and A. Lerario. Preprint, 2017; arXiv1711.08253.

A Riemannian trust region method for the canonical tensor rank approximation problem

with N. Vannieuwenhoven. SIAM Journal of Optimization 28(3) (2018), 2435-2465.

Convergence analysis of RGN methods and its connection with the geometric condition number

with N. Vannieuwenhoven. Applied Mathematics Letters 78 , 42-50.

How Many Eigenvalues of a Random Symmetric Tensor are Real?

Preprint, 29 pages, 2019; arXiv1701.07312.

The condition number of join decompositions

with N. Vannieuwenhoven. SIAM J. Matrix Anal. and Appl. 39(1), 287–309.

The expected number of eigenvalues of a real gaussian tensor

SIAM J. Appl. Algebra Geometry 1(1), 254–271.

An efficient randomized homotopy method to approximate eigenpairs of tensors

Preprint, 2018; arXiv1512.03284.

Distribution of the eigenvalues of a random system of homogeneous polynomials

with P. Bürgisser. Linear Algebra and its Applications 497, (2016), 88-107 .

Kronecker's Jugendtraum

with D. Samart. Student project for the International Summer School on Number Theory.

PhD thesis, TU Berlin, 2017.

First supervisor: P. Bürgisser. Second supervisor: F. Cucker.

On a p-adic Newton method.

Master's, Georg-August Universität Göttingen, 2013.

First supervisor: P. Mihailescu. Second supervisor: P. Bürgisser.