- Doctoral researcher (PhD student, 2022–) in mathematics at University of Helsinki.
- Occasional software developer.
- Yleistajuista matikkaa suomeksi: Nollakohta.fi.
I am interested in stochastic analysis: partial differential equations with a dash of randomness.
Generally speaking, I like when stuff has a random component in it.
My research is on nonlinear dispersive PDE and Euclidean quantum field theories.
For a good* introduction to my research topic, I suggest looking at my MSc thesis Periodic nonlinear Schrödinger equation (2021).
As part of my civilian service, I worked as a research assistant at the Institute for Atmospheric and Earth System Research at University of Helsinki.
My research was on statistical methods to explore many-variable data sets.
*This might be a biased statement.
Preprints as of 15 April 2023:
- Barashkov and Laarne: Invariance of φ4 measure under nonlinear wave and Schrödinger equations on the plane (arXiv).
Atmospheric data analysis papers from my civilian service:
- Laarne, Amnell, Zaidan, Mikkonen, Nieminen: Exploring Non-Linear Dependencies in Atmospheric Data with Mutual Information (2022, Atmosphere, MDPI)
- Laarne, Zaidan, Nieminen: ennemi: Non-linear correlation detection with mutual information (2021, SoftwareX, Elsevier)
- ennemi: a Python package to explore non-linear correlations across variables. Developed as part of my work at INAR, now also used on multiple other research fields.
At University of Helsinki:
- Todennäköisyyslaskenta II (2022), teaching assistant.
- Lukiomatematiikan kertaus (2021), development of self-study exercises.
- Todennäköisyyslaskenta II (2019), teaching assistant.
I may be available for BSc thesis supervision (analysis and probability in broad sense) at University of Helsinki.