Lilja Metsälampi

lilja.metsalampi@aalto.fi

About

Thank you for checking out my website. Since August 2022 I have been a PhD student of mathematics at Aalto University under the supervision of Prof. Kaie Kubjas. I am a member of the Applied Algebraic Geometry and Algebraic Statistics research group led by Prof. Kaie Kubjas. Before my PhD studies I obtained my master's degree in mathematics from University of Helsinki under the supervision of Prof. Pekka Pankka.

My research interests lie in the field of Applied Algebra and Applied Algebraic Geometry. I am interested in questions about structured matrix decompositions, e.g., positive semidefinite factorizations and low-rank matrix completions, and the applications of rigidity theory in studying these questions.

Publications

Preprints

K. Dawson, S. Hoşten, K. Kubjas, and L. Metsälampi, “Uniqueness of size-2 positive semidefinite matrix factorizations,” 2024.

Theses

“Milnorin lause: Äärellisesti viritettyjen ratkeavien ryhmien kasvusta,” (Milnor's Theorem on the Growth of Finitely Generated Solvable Groups), Master's thesis in Mathematics, University of Helsinki, 2021.