Hello! I am Professor in Mathematics at LNU. Before my present position at LNU I also worked as postdoc at Brown University, Pontífica Universidad Católica de Chile and Universidad de Santiago de Chile.
Teaching
At the moment I teach
- Discrete Mathematics and Mathematical Thinking
- Applied Probability and Statistics
- Ordinary Differential Equations
- Research methodology for mathematical sciences
I am also head supervisor for a PhD student, Björn Lindenberg, working in the field of artificial intelligence and dynamical systems. I have been head supervisor of Jonas Nordqvist who had his dissertation February 2020.
Research
Random and Deterministic Dynamical Systems, Number Theory, Machine Learning and Artificial Intelligence (AI). Together with Jonas Nordqvist and Björn Lindenberg we work on a project in Reinforcement Learning which addresses the question of controlling a dynamical system as to maximize the total accumulated reward over time. We are also part of a project with Kalmar Energi in optimizing the efficiency of district heating plants using AI.
International collaborators are Juan Rivera-Letelier (University of Rochester), Mike Zieve (Univ. of Michigan), Charles Favre (École Polytechnique, Paris). Youssef Fares (Universite de Picardie).
Before my present position at LNU I did postdocs at Brown University, Pontífica Universidad Católica de Chile and Universidad de Santiago de Chile.
I have also worked as guest researcher at Université de Picardie, Amiens,
Commissions
- Member of the board of the faculty of technology (FTK)
- Coordinator for degree projects in mathematics
- Elaborator of a new program in Engineering Mathematics
- Scientific leadsr of the research group in Artificial Intelligence and Machine Learning at LNU
My research groups
-
AI and machine learning for optimization and operations research Under this research theme, we develop both mathematical theory and applications for artificial intelligence and machine learning in…
-
Computational Mathematics for Predictive Digital Twins (PreDiTwin) In recent years, remarkable progress in mathematics, process-based modeling, data science, and sensor technology has opened up…
-
International Center for Mathematical Modeling ICMM is a centre for research in mathematical modelling, applicable within a number of different subjects and fields. Since 2000, the research group has…
My ongoing research projects
-
Project: Algorithms for reinforcement learning Reinforcement learning is a hot area in machine learning and artificial intelligence. It is the basis for development in robotics, image recognition,…
-
Project: Climate-smart agriculture Within this project, we are developing a pilot plant for energy-efficient agriculture.
-
Project: Optimization for sustainable energy supply and food production in rural areas The project is about how energy systems on farms can be optimized to realize the potential that farms have to be…
-
Seed project: Investigate Machine Learning Techniques for Decision-Making Support in K-12 Educational Context The main aim of this seed application is to investigate the use and application of Machine…
Publications
Article in journal (Refereed)
-
Lindenberg, B., Nordqvist, J., Lindahl, K. (2020). Distributional reinforcement learning with ensembles. Algorithms. 13 (5). 1-13.
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 -
Lindahl, K., Rivera-Letelier, J. (2016). Optimal cycles in ultrametric dynamics and minimally ramified power series. Compositio Mathematica. 152 (01). 187-222.
Status: Published -
Lindahl, K., Rivera-Letelier, J. (2016). Generic parabolic points are isolated in positive characteristic. Nonlinearity. 29 (5). 1596-1621.
Status: Published -
Lindahl, K. (2013). The size of quadratic p-adic linearization disks. Advances in Mathematics. 248. 872-894.
Status: Published -
Lindahl, K. (2010). Applied Algebraic Dynamics. P-Adic Numbers, Ultrametric Analysis, and Applications. 2 (4). 360-362.
Status: Published -
Lindahl, K. (2010). Divergence and convergence of conjugacies in non-Archimedean dynamics. Contemporary Mathematics. 508. 89-109.
Status: Published -
Lindahl, K., Zieve, M. (2010). On Hyperbolic Fixed Points in Ultrametric Dynamics. P-Adic Numbers, Ultrametric Analysis, and Applications. 2 (3). 232-240.
Status: Published -
Lindahl, K. (2009). Linearization in Ultrametric Dynamics in Fields of Characteristic Zero — Equal Characteristic Case. P-Adic Numbers, Ultrametric Analysis, and Applications. 1 (4). 307-316.
Status: Published -
Lindahl, K. (2004). On Siegel's linearization theorem for fields of prime characteristic. Nonlinearity. 17 (3). 745-763.
Status: Published -
Albeverio, S., Gundlach, M., Khrennikov, A., Lindahl, K. (2001). On the Markovian Behavior of p-Adic Random Dynamical Systems. Russ. J. Math. Phys.. 8 (2). 135-152.
Status: Published -
Lindahl, K., Gundlach, M., Khrennikov, A. (2001). On Ergodic Behavior of p-adic dynamical systems. Infin. Dimens. Anal. Quantum Probab. Relat. Top.. 4 (4). 569-577.
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.
- Lindahl, K. (2002). Some results on convergence of conjugating functions over non-Archimedean fields. Dynamical systems from number theory to physics - 2. 67-77.
Doctoral thesis, monograph (Other academic)
- Lindahl, K. (2007). On the linearization of non-Archimedean holomorphic functions near an indifferent fixed point. Doctoral Thesis. Växjö, Växjö University Press. 160.
Manuscript (preprint) (Other academic)
Article, book review (Other (popular science, discussion, etc.))
-
Lindahl, K. (2006). Uniqueness for p-adic meromorphic products. Mathematical Reviews.
Status: Published