PhD theses

Muhammad Ardiyansyah. Algebraic Aspects of Hidden Variable Models. 2019-2023.
Olga Kuznetsova. Interactions of Algebra, Statistics and Optimization. 2019-2023.

Master’s theses

Aino Weckman. Optimising emission reduction actions in organisations’ climate work. 2024. (Supervised by me, advised by Maija Leino, thesis written in collaboration with UseLess Company.)
Joel Hakavuori. Nonpositive curvature, l^2-invariants and right-angled Coxeter groups. 2024. (Supervised by me, advised by Karim Adiprasito.)
Etna Lindy. Best nonnegative rank-2 matrix approximations. 2024. (Supervised by me, advised by Luca Sodomaco.)
Oula Kekäläinen. Generalization of Descartes’ rule of signs to multivariate polynomials with real exponents. 2024.
Emil Verkama. Repairing the Universality Theorem for 4-Polytopes. 2023. (Supervised by me, advised by Tobias Boege.) Aalto SCI Master’s thesis award 2023 and Ernst Lindelöf prize.
Huanhuan Chen. Infinitesimally rigid factorizations of nonnegative rank four. 2019. (In Paris.)
Mateo Rendon Jaramillo. An algebraic and combinatorial perspective on rank-one tensor completion. 2018.
Marc Härkönen. Holonomic least angle regression. 2017. (Supervised by Camilla Hollanti, advised by Tomonari Sei and me.)

Bachelor’s theses

Henrik Aalto. The Sylow Theorems and Classification of Finite Groups. 2025.
Mevlüde Alizade. EM Algorithm and Nonnegative Matrix Factorization. 2024. (Thesis written in Ankara University.)
Niko Nordlund. Persistent Homology-based Biological Pattern Classification. 2024.
Emma Tonteri. Evaluating scoring models for the Implicit Association Test in the Finnish political polarization context. 2024. (Supervised by me, advised by Annika Kluge.)
Meeri Palokangas. Undirected Graphical Models for Discovering Statistical Dependencies in Continuous Air Pollutant and Weather Data. 2024. (Supervised by me, advised by Nataliia Kushnerchuk.)
Michael Yang. Homotopy and homology of topological spaces: their functoriality and relations between them. 2024. (Supervised by me, advised by Milo Orlich.)
Kasper Rantamäki. Zero-shot classifier based on robust ellipsoid optimization. 2023.
Alex Halme. Permutation-based Algorithms for Causal Inference under Interventions. 2023.
Matias Koponen. Mathematical Modelling of Mental Rotation. 2023. (Supervised by me, advised by Stéphane Deny and Petteri Kaski.)
Theo Elenius. Algebraic geometry of deep polynomial neural networks. 2022.
Akseli Anttonen. Introduction to persistent homology. 2022.
Inari Puhto. Finding polynomial equations from samples. 2021.
Venla Valve. Estimating the dimension of algebraic varieties from samples. 2021.
Saku Myllymäki. Rank-1 tensor completion for small tensors using group actions. 2021.
Aleksi Lahti. Classifying critical points of Euclidean distance from real plane curves. 2021. (Supervised by me, advised by Luca Sodomaco.)
Etna Lindy. Parameter estimation for phylogenetic group-based models in the probability and Fourier coordinates. 2020.
Aapo Pajala. Euclidean distance geometry and its applications in 3D genome reconstruction. 2020.
Aki Malinen. Algebraic methods for maximum likelihood estimation. 2020.