I am currently a research scientist at Fano Labs, working on speech AI. Before, I was a postdoctoral researcher at the Max Planck Institute for Mathematics in the Sciences, under the mentorship of Bernd Sturmfels. I worked on algebraic geometry and its applications, in particular to solving PDE and machine learning. I got my PhD in Mathematics from Georgia Tech, under the supervision of Anton Leykin.
Email:Research
- Härkönen, M., Lange-Hegermann, M., & Raiţă, B. (2022). Gaussian Process Priors for Systems of Linear Partial Differential Equations with Constant Coefficients. ICML 2023 Oral! arXiv preprint arXiv:2212.14319, Animations and more!
- Adhikari, B., Gross, E., Härkönen, M., & Tsigaridas, E. (2022). One-connection rule for structural equation models. arXiv preprint arXiv:2210.00239.
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Härkönen, M. (2022). Dual representations of polynomial modules with applications to partial differential equations
- Best Thesis Award (2022), Georgia Tech School of Mathematics
- PhD thesis
- PhD defense slides
- Härkönen, M., Nicklasson, L., & Raiţă, B. (2021). Syzygies, constant rank and beyond arXiv preprint arXiv:2112.12663.
- Härkönen, M., Hirsch, J., & Sturmfels, B. (2021). Making waves. arXiv preprint arXiv:2111.14045.
- Ait El Manssour, R., Härkönen, M., & Sturmfels, B. (2021). Linear PDE with Constant Coefficients. arXiv preprint arXiv:2101.10146.
- Chen, J., Cid-Ruiz, Y., Härkönen, M., Krone, R., & Leykin, A. (2021). Noetherian Operators in Macaulay2. arXiv preprint arXiv:2101.01002., Accepted: Journal of Software for Algebra and Geometry
- Chen, J., Härkönen, M., Krone, R., & Leykin, A. (2022). Noetherian operators and primary decomposition. Journal of Symbolic Computation Vol 110, 1-23.
- Härkönen, M., Hollering, B., Tarashi Kashani, F., Rodriguez, J. I. (2020) Algebraic Optimization Degree. ACM Communications in Computer Algebra, Vol. 54, No 2
- Härkönen, M., Sei, T., & Hirose, Y. (2020). Holonomic extended least angle regression. Information Geometry, 3, 149-181.
- Master's thesis: Holonomic extended least angle regression (HELARS)
- Antila, H., Härkönen, M., & Sammalkorpi, M. (2015). Chemistry specificity of DNA–polycation complex salt response: a simulation study of DNA, polylysine and polyethyleneimine. Physical Chemistry Chemical Physics, 17, 5279-5289.
Teaching
- Spring 2021: MATH 2552 - Differential Equations, Instructor
- Fall 2020: MATH 2552 - Differential Equations, Teaching Assistant
- Summer 2020: MATH 3670 - Probability, Statistics and Applications, Instructor
- Spring 2020: MATH 2552 - Differential Equations, Teaching Assistant
- Spring 2019: MATH 3670 - Statistics and Applictaions, Lecture Assistant
- Summer 2018: MATH 1553 - Introduction to Linear Algebra, Teaching Assistant
- Spring 2018: MATH 2603 - Introduction to Discrete Mathematics, Teaching Assistant
- Fall 2017: MATH 2551 - Multivariable calculus, Teaching Assistant