Jonas Nordqvist

Teaching

Previously I've been involved in many of the first year courses in mathematics and some in mathematics education and computer science here at Linnaeus. However currently I'm primarily involved in the following courses on a regular basis:

Introduction to machine learning (Spring)
Linear algebra (Fall)
Optimization (Fall)

I'm always interested in taking on students for degree projects. Please feel free to contact me if you have an idea to discuss.

Research

My primary research interest is dynamical systems, discrete mathematics and most recently AI and machine learning. In my thesis I studied iterations of power series giving rise to discrete dynamical systems. The iterated functions are studied both from a dynamical perspective and from a number theoretic point of view. The problem have lead to results in number theory, non-archimedean dynamics, and in complex dynamics. Nowadays my primary interest is AI and machine learning and I'm involved in the research group AI and machine learning for optimization and operations research. Our most current project concerns developing new methods and algorithms for reinforcement learning. Moreover, I'm also involved in two projects in DIA as an assistant supervisor.

My research groups

My ongoing research projects

Publications

Article in journal (Refereed)

Eriksson, S., Nordqvist, J. (2024). Inverting the sum of two singular matrices. Results in Applied Mathematics. 22.
Status: Published
Björnberg, D., Ericsson, M., Lindeberg, J., Löwe, W., Nordqvist, J. (2024). Image generation of log ends and patches of log ends with controlled properties using generative adversarial networks. Signal, Image and Video Processing. 18. 6481-6489.
Status: Published
Nordqvist, J. (2021). Wildly ramified power series with large multiplicity. Journal of Number Theory. 225 (August). 174-197.
Status: Published
Lindenberg, B., Nordqvist, J., Lindahl, K. (2020). Distributional reinforcement learning with ensembles. Algorithms. 13 (5). 1-13.
Status: Published
Nordqvist, J., Rivera-Letelier, J. (2020). Residue fixed point index and wildly ramified power series. Journal of the London Mathematical Society. 102 (2). 470-497.
Status: Published
Lindahl, K., Nordqvist, J. (2018). Geometric location of periodic points of 2-ramified power series. Journal of Mathematical Analysis and Applications. 465 (2). 762-794.
Status: Published
Nordqvist, J. (2017). Characterization of 2-ramified power series. Journal of Number Theory. 174. 258-273.
Status: Published
Chandler, R.E., Juhlin, K., Fransson, J., Caster, O., Edwards, R.I., et al. (2017). Current Safety Concerns with Human Papillomavirus Vaccine : A Cluster Analysis of Reports in VigiBase®. Drug Safety. 40 (1). 81-90.
Status: Published

Conference paper (Refereed)

Lindenberg, B., Nordqvist, J., Lindahl, K. (2022). Conjugated Discrete Distributions for Distributional Reinforcement Learning. Proceedings of the AAAI Conference on Artificial Intelligence. 7516-7524.
Buljan, M., Nordqvist, J., Martins, R.M. (2020). An Investigation on the Impact of Non-Uniform Random Sampling Techniques for t-SNE. 2020 Swedish Workshop on Data Science (SweDS), Luleå, 2020,. 1-8.
Lundberg, J., Nordqvist, J., Laitinen, M. (2019). Towards a language independent Twitter bot detector. Proceedings of 4th Conference of The Association Digital Humanities in the Nordic Countries : Copenhagen, March 6-8 2019. 308-319.