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Expository articles Nonlinear Algebra and Applications with 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 SIAM News 53(1) (2020). Numerical Nonlinear Algebra with D. Bates, T. Chen, J. Hauenstein, A. Leykin and F. Sottile. arXiv:2302.08585. 3264 Conics in a Second with B. Sturmfels and S. Timme. Not. Amer. Math. Soc. 67 (2020), 30-37.	Mathematics of Data Line Multiview Varieties with F. Rydell, E. Shehu and A. Torres. arXiv:2203.01694. Line Multiview Ideals with T. Duff, L. Gustafsson, F. Rydell and E. Shehu. arXiv:2303.02066. Learning Algebraic Varieties from Samples with B. Sturmfels, S. Kališnik Verovšek and M. Weinstein. Rev. Mat. Compl. 31 (2018), 545-593. Random points on an algebraic manifold with O. Marigliano. SIAM J. Mathematics of Data Science 2(2) (2020), 683-704. Algebraic Compressed Sensing with F. Gesmundo, M. Michalek and N. Vannieuwenhoven. Applied and Computational Harmonic Analysis (to appear). Sensitivity of low-rank matrix recovery with N. Vannieuwenhoven. Numerische Mathematik (2022).
Computational Algebraic Geometry A short proof for the parameter continuation theorem with V. Borovik. arXiv:2302.14697. Khovanskii bases for semimixed systems of polynomial equations - a case of approximating stationary nonlinear Newtonian dynamics with V: Borovik, J. del Pino, M. Michalek and O. Zilberberg. Journal de Mathématiques Pures et Appliquées (2023). The algebraic degree of coupled oscillators with L. Monin, M. Michalek and S. Telen. arXiv:2208.08179. Certifying zeros of polynomial systems using interval arithmetic with K. Rose and S. Timme. Trans. Math. Software (2023). Real circles tangent to 3 conics with J. Lindberg, G. Ong and L. Sommer. Le Matematiche (2023). Euclidean distance degree and mixed volume with F. Sottile and J. Woodcock. J. Found. Comp. Math. (2021). Equations for GL invariant families of polynomials with C. Ikenmeyer, R. Hodges and M. Michalek. Vietnam Journal of Mathematics (2022).	Metric geometry Reach of Segre-Veronese Manifolds with S. Eggleston. arXiv:2307.04224. Enumerative geometry of curvature of algebraic hypersurfaces with K. Ranestad and M. Weinstein. arXiv2206.09130. Facet volumes of polytopes with P. Blagojevic and A. Heaton. arXiv:2112.08437. The zonoid algebra, generalized mixed volumes, and random determinants with P. Bürgisser, A. Lerario and L. Mathis. Adv. in Math. (2022). On the geometry of the set of symmetric matrices with repeated eigenvalues with K. Kozhasov and A. Lerario. Arnold Mathematical Journal 1 (4) (2019), 423-443.
Random polynomials Average degree of the essential variety with S. Fairchild, P. Santarsiero and E. Shehu. arXiv2212.01596. Quantitative singularity theory for random polynomials with H. Keneshlou and A. Lerario. IMRN (2020). Random Spectrahedra with K. Kozhasov and A. Lerario. SIAM J. Optim. 29 (4) (2019), 2608-2624. How Many Eigenvalues of a Random Symmetric Tensor are Real? Trans. Amer. Math. Soc. 372 (2019), 7857-7887. The expected number of eigenvalues of a real gaussian tensor SIAM J. Appl. Algebra and Geometry 1(1) (2017), 254–271. Distribution of the eigenvalues of a random system of homogeneous polynomials with P. Bürgisser. Linear Algebra and its Applications 497 (2016), 88-107 .	Numerical analysis of tensor decompositions Three decompositions of symmetric tensors have similar condition numbers with N. Dewaele and N. Vannieuwenhoven. Linear Algebra and its Applications (2023). The condition number of many tensor decompositions is invariant under Tucker compression with N. Dewaele and N. Vannieuwenhoven. arXiv2106.13034. The average condition number of most tensor rank decomposition problems is infinite with C. Beltran and N. Vannieuwenhoven. J. Found. Comp. Math. (2022). Pencil-based algorithms for tensor rank decomposition are not stable with C. Beltran and N. Vannieuwenhoven. SIAM J. Matrix Anal. and Appl. 40 (2) (2019), 739-773. On the average condition number of tensor rank decompositions with N. Vannieuwenhoven. IMA J. Num. Anal. (2019). The condition number of join decompositions with N. Vannieuwenhoven. SIAM J. Matrix Anal. and Appl. 39(1) (2018), 287–309. An efficient randomized homotopy method to approximate eigenpairs of tensors arXiv1512.03284.
Riemannian optimization The condition number of Riemannian approximation problems with N. Vannieuwenhoven. SIAM J. Optim. 31(1) (2021), 1049-1077. A Riemannian trust region method for the canonical tensor rank approximation problem with N. Vannieuwenhoven. SIAM J. Optim. 28(3) (2018), 2435-2465. Convergence analysis of RGN methods and its connection with the geometric condition number with N. Vannieuwenhoven. Appl. Math. Letters 78 (2018), 42-50.

Random Algebraic Geometry

Here is a link to my book project Lectures on Random Algebraic Geometry with Antonio Lerario.

Mathematical Methods in Data Science

Here is a link to my undergraduate book project Mathematical Methods in Data Science with Samantha Fairchild.

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Theses

Numerical and Statistical Aspects of Tensor Decompositions
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.

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