I am a postdoctoral researcher at the Max Planck Institute for Mathematics in the Sciences, under the mentorship of Bernd Sturmfels. I am interested in algebraic geometry and its applications, in particular to solving PDE and machine learning. My PhD advisor was Anton Leykin.
F3 10, Max Planck Institute for Mathematics in the Sciences, Inselstraße 22, 04103 Leipzig, GermanyResearch
- Härkönen, M., Lange-Hegermann, M., & Raiţă, B. (2022). Gaussian Process Priors for Systems of Linear Partial Differential Equations with Constant Coefficients. arXiv preprint arXiv:2212.14319.
- Adhikari, B., Gross, E., Härkönen, M., & Tsigaridas, E. (2022). One-connection rule for structural equation models. arXiv preprint arXiv:2210.00239.
- Härkönen, M. (2022). Dual representations of polynomial modules with applications to partial differential equations
- 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