Research Seminars in Mathematics
The research seminars are in the subjects of pure, applied, and computational mathematics and are usually held at the afternoons on Fridays. All are welcome to attend!
Please contact magnus.ogren@oru.se if you have any questions regarding this seminar series.
2025
Speaker: Mads Peter Sørensen, Sektion for Dynamiske Systemer, DTU Compute, Danmarks Tekniske Universitet
Date: September 23rd, kl. 15.15
Location: T101
Title: Mathematics in Industry and European Study Group for Industry
Abstract:
In this talk I will present examples of cooperation between applied mathematicians at the Technical University of Denmark (DTU) and industry. Focus is on the European Study Group for Industry (ESGI), which is a workshop series running in many European countries aiming at enhancing cooperation between mathematicians and industry. The ESGI workshops are organized under the auspices of the European Consortium of Mathematics in Industry (ECMI). However, ESGI like workshops are also organized outside Europe, and examples are Canada and India.
The duration of an ESGI workshop is from Monday to Friday noon. On Monday morning the companies and public institutions present problems suitable for mathematical modelling. The university participants choose a problem they can contribute to and work on this during the week. Friday morning is reserved for presentations in plenum of achieved results, and in the following weeks reports are completed for the companies and public institutions. The organization of the ESGI workshops will be presented together with specific modelling examples and some historical remarks.
If time allows one or two other cooperation projects with industry will be presented. The research in those is typically conducted by industrial PhD students and post docs.
Link to ESGI workshops:
https://ecmiindmath.org/european-study-groups-with-industry/
Speaker: Serife Sevinc
Date: June 12th
Location: T141
Title: Research on posing modelling problems: What mathematics teacher candidates could gain from problem-posing experience?
Abstract: Problem-posing is a fruitful experience for students, teachers, and teacher candidates. In this talk, I will share some of my research with mathematics teacher candidates regarding their challenges and takeaways from posing modelling problems. The findings, drawn from the analysis of pre-service middle school teachers’ written work in some research and their oral explanations during interviews in other research, revealed their conceptions of a “good modelling problem” and the kinds of knowledge they employed when posing modelling problems. However, it should be noted that problem-posing is not a straightforward task; therefore, this talk will also address some of the challenges the teacher candidates experienced in this process.
Speaker: Andreas Larsson, Institutionen för teknikvetenskap och matematik, Luleå tekniska universitet.
Date: Wednesday 21 May, 13.15
Location: T131
Title: Machine Learning for Molecular Dynamics Simulations of Carbon Nanomaterials Growth
Abstract: Carbon nanotubes (CNTs) have interesting properties that could be used in future nanoelectronic devices. To realize this technological potential, controlled growth of defect-free CNTs is required. Until now, the understanding of atomic-scale growth mechanisms provided by molecular dynamics (MD) simulations has been hampered by their short timescales. Here we present an efficient and accurate machine learning force field for realistic MD simulations of SWCNT growth on iron catalysts [1]. We simulate growth of SWCNTs on near µs timescales, achieving growth of long, defect-free nanotubes and provide new atomic-level insights into the entire growth process. From the evolution of the tube-catalyst interface and importantly the mechanisms behind the formation and healing of defects. Our results highlight the large configurational entropy at the tube-catalyst interface and how defect-free CNTs can grow ultralong if carbon supply and temperature are carefully controlled.
[1] Dynamics of Growing Carbon Nanotube Interfaces Probed by Machine Learning-Enabled Molecular Simulations, D. Hedman, B. McLean, C. Bichara, S. Maruyama, J. A. Larsson, F. Ding, Nat. Commun. 15 (2024) 4076.
Speaker: Hanna Isaksson, Örebro universitet
Date: Friday 21 March 13.15
Location: T207
Title: Adaptive evolutionary trajectories in complexity: repeated transitions between unicellularity and differentiated multicellularity
Abstract: Multicellularity spans a wide range in terms of complexity, from simple clonal clusters of cells to large-scale organisms composed of differentiated cells and tissues. While recent experiments have demonstrated that simple forms of multicellularity can readily evolve in response to different selective pressures, it is unknown if continued exposure to those same selective pressures will result in the evolution of increased multicellular complexity. We use mathematical models to consider the adaptive trajectories of unicellular organisms exposed to periodic bouts of abiotic stress, such as drought or antibiotics. Populations can improve survival in response to the stress by evolving multicellularity or cell differentiation---or both; however, these responses have associated costs when the stress is absent. We define a parameter space of fitness-relevant traits and identify where multicellularity, differentiation, or their combination is fittest. We then study the effects of adaptation by allowing populations to fix mutations that improve their fitness. We find that while the same mutation can be beneficial to phenotypes with different complexity, e.g. unicellularity and differentiated multicellularity, the magnitudes of their effects can differ and alter which phenotype is fittest. As a result, we observe adaptive trajectories that gain and lose complexity. We also show that the order of mutations, historical contingency, can cause some transitions to be permanent in the absence of neutral evolution. Ultimately, we find that continued exposure to a selective driver for multicellularity can either lead to increasing complexity or a return to unicellularity.
Speaker: Marcus Carlsson, Matematikcentrum, Lunds universitet
Date: Thursday, february 27, 13.15
Location: T133
Title: Unbiased approaches to compressive sensing and low rank matrix estimation
Abstract: It is well known that the standard compressive sensing techniques, LASSO for the scalar case and nuclear norm minimization for the matrix case, come with a significant "shrinking bias". I will introduce a toolbox of techniques to construct non-convex penalties with a number of desirable features, in particular that they provably do not suffer from the "shrinking bias". The types of penalties that one may construct can be tailor-made to the application at hand, and works both for vectors and matrices.