# Supervisors in Mathematics and Applied Mathematics

**MAM supervisors and potential supervisors for PhD students.**

The research environment in Mathematics and Applied Mathematics MAM has strong research capacity in supervision consisting of active researchers who have been involved or plan to be more involved in supervision of co-supervision of PhD students in the future.

### Professors

**Name:** Sergei Silvestrov

**Position and Academic title:** Professor, Docent, PhD

**E-mail address:** sergei.silvestrov@mdh.se

**Personal webpage:** https://www.mdh.se/ukk/personal/maa/ssv01

**Publications:**

Google scholar: https://scholar.google.com/citations?hl=en&user=xa5H7WoAAAAJ

**Directions of research and supervision**

My main research and supervision directions are:

1) Matrix analysis methods: Matrix equations and inequalities and their applications in control theory (automatic control), robotics, physics and related areas of science and engineering, determinants and spectral analysis of matrices and operators.

2) Discretization of differential and integral calculus, difference type operators and difference type equations and their generalizations, algebraic structure and applications in mathematics and other subjects in science and engineering.

3) Noncommutative and non-associative algebraic structures and their representations and applications: Hom-algebra structures and their connections to other parts of mathematics and to algebraic structures in mathematical physics; quantum algebras, q-deformed algebraic structures, quantum analysis (q-analysis).

4) Non-commutative geometry, operator algebras and applications (C*-algebras, Von Newman algebras; Banach algebras, normed algebras and their representations); Non-commutative analysis, representation theory and their connections to operator theory and spectral theory of operators;

5) Dynamical systems, Iterated functions systems and fractals, and actions of groups and semigroups and their interplay with operator analysis, operator algebras and algebraic structures;

*Applied areas:*

1) Engineering Mathematics and industrial mathematics applications involving matrix analysis and matrix algebra methods, analytic and algebraic methods for interpolation of data, probabilistic and statistical methods for data analysis, networks analysis methods for data analysis and data mining, ranking and information retrieval in complex big data, mathematics methods for internet and information networks and other types of networks in various application domains.

2) Stochastic processes and probability theory, especially involving matrix analysis and algebra methods, Markov chains and Markov processes and their applications; mathematical statistics and probability methods applied to analysis of data in various domains; connections of probability theory and stochastic processes to algebraic structures and algebraic methods.

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**Name:** Anatoliy Malyarenko

**Position and Academic title:** Professor, Docent, PhD

**E-mail address:** anatoliy.malyarenko@mdh.se

**Personal webpage:** https://www.mdh.se/ukk/personal/maa/amo01

**Publications:**

Google scholar: https://scholar.google.com/citations?hl=en&user=qazWsYgAAAAJ

ORCID: https://orcid.org/0000-0002-0139-0747

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3)

**Name:** Kimmo Eriksson

**Position and Academic title:** Professor, Docent, PhD

**E-mail address:** kimmo.eriksson@mdh.se

**Personal webpage:** https://www.mdh.se/ukk/personal/maa/ken05

**Publications:**

Google scholar: https://scholar.google.com/citations?hl=en&user=59B967IAAAAJ

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### Senior lecturers

**Name:** Milica Rancic

**Position and Academic title:** Senior lecturer, PhD

**E-mail address: **milica.rancic@mdh.se

**Personal webpage:** https://www.linkedin.com/in/milicarancic/

**Directions of research and supervision:**

My main research and supervision directions are:

Applied Mathematics:

1) Engineering Mathematics and applications in electromagnetic compatibility EMC and computational electromagnetics CEM (antenna theory, grounding systems, lightning and electrostatic discharge modelling)

2) Mathematical statistics and probability applied in actuarial mathematics (mortality rates modelling and forecasting)

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**Name:** Ying Ni

**Position and Academic title:** Senior lecturer, PhD

**E-mail address:** ying.ni@mdh.se

**Publications:**

DIVA: http://mdh.diva-portal.org/smash/person.jsf?pid=authority-person:30573

**Directions of research and supervision:**

My main research and supervision directions are:

Applied Mathematics - applied probability and stochastic processes

1) Financial mathematics involving advanced stochastic modelling and option pricing.

2) Data analysis using mathematical statistics and data-mining tools in various domains, particularly in financial engineering.

3) Asymptotic expansion and perturbation methods applied to various problems

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**Name:** Olha Bodnar

**Position and Academic title:** Senior lecturer, Habilitation from Germany (equivalent to Docent in Sweden), PhD

**E-mail address:** olha.bodnar@mdh.se

**Directions of research and supervision:**

Probability theory and statistics; Applications of mathematical statistics and probability theory methods to metrology and statistical data analysis for various application areas.

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**Name:** Linus Carlsson

**Position and Academic title:** Senior lecturer, PhD

**E-mail address:** linus.carlsson@mdh.se

**Publications:**

Google scholar: https://scholar.google.se/citations?user=D2DD9bcAAAAJ

**Directions of research and supervision:**

My main research and supervision directions are:

Partial Differential equations: stochastic, non-linear, non-local, parabolic, and hyperbolic.

Complex analysis: Analytic manifolds, Banach algebras.

Mathematical biology:

1) Model building in physiologically structured population models.

2) Model building in tree formations.

3) Stability analysis of numerical methods used to solve non-local, non-linear PDEs

4) Catastrophic event analysis of stochastic PDEs in connection to physiologically structured population models

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**Name:** Christopher Engström

**Position and Academic title:** Senior lecturer, PhD

**E-mail address:** christopher.engstrom@mdh.se

**Publications**

ResearchGate: https://www.researchgate.net/profile/Christopher_Engstroem

**Directions of research and supervision:**

My main research and supervision directions are:

1) Network analysis and applications to networks-based data in applied subjects such as computer science and biology. Mainly methods for classification, ranking and clustering on graphs and related applications.

2) Applications of data analysis, mainly related to regression, classification or clustering of data.

3) Graph random walks, Markov chains and related graph centrality measures such as PageRank and methods to compute or update results efficiently, for very large graphs or as the graph changes as well as generalizations and modifications of these methods.

4) Matrix analysis and methods related to non-negative matrices and Markov chains.

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**Name:** Linus Carlsson

**Position and Academic title:** Senior lecturer, PhD

**E-mail address:** linus.carlsson@mdh.se

**Publications:**

Google scholar: https://scholar.google.se/citations?user=D2DD9bcAAAAJ

**Directions of research and supervision:**

My main research and supervision directions are:

Partial Differential equations: stochastic, non-linear, non-local, parabolic, and hyperbolic.

Complex analysis: Analytic manifolds, Banach algebras.

Mathematical biology:

1) Model building in physiologically structured population models.

2) Model building in tree formations.

3) Stability analysis of numerical methods used to solve non-local, non-linear PDEs

4) Catastrophic event analysis of stochastic PDEs in connection to physiologically structured population models

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**Name:** Lars Hellström

**Position and Academic title:** Senior lecturer, PhD

**E-mail address:** lars.hellstrom@mdh.se

**Publications:**

DIVA: http://mdh.diva-portal.org/smash/person.jsf?pid=authority-person:30759

**Directions of research and supervision:**

Non-commutative algebra, normal forms, bases, term rewriting and Dimond lemmas for algebras, operads, props, networks and computer algorithms;

Computational algebra, graphs, networks and algorithms in computer science.

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**Name:** Fredrik Jansson

**Position and Academic title:** Senior lecturer, PhD

**Email:** fredrik.jansson@mdh.se

**Personal webpage:** http://www.fredrik.name/

**Directions of research and supervision:**

My main research and supervision directions are:

Mathematical modelling of human behaviour, societal outcomes and evolutionary dynamics

I have a broad cross-disciplinary interest in the mathematical modelling and data analysis of human behaviour and its effects on cultural change and society at large. I would be happy to supervise related projects, for example on testing assumptions about mechanisms and evaluating their predictions, or by inferring social patterns from available datasets.

Testing assumptions can include abstraction and mathematical formalisation of theory, and developing models, such as dynamical systems, different games, diffusion models, and other evolutionary dynamics. This can also give rise to, for example, interesting combinatorial problems. Inferring social patterns can, among other things, make use of network theory, methods for analysing big data, and the development of new inferential methods.

Different areas of mathematics will be involved, depending on the nature of the research question, but typical areas may include, but are not limited to, game theory, dynamical systems, graph theory, combinatorics, evolutionary algorithms, complex systems, probability theory, stochastic processes and statistics.

Keywords: Mathematical modelling; Data analysis; Discrete mathematics; Cultural evolution; Mathematical psychology; Mathematical sociology; Game theory; Computational social science

Closest Mathematics Subject Classification (MSC): 91 Applied mathematics: Game theory, economics, social and behavioural sciences

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**Name:** Karl Lundengård

**Position and Academic title:** Licentiate, PhD student, Lecturer

**E-mail address:** karl.lundengard@mdh.se

**Personal webpage**

https://www.mdh.se/ukk/personal/maa/kld02

**Publications**

DIVA: http://mdh.diva-portal.org/smash/person.jsf?pid=authority-person:30810

**Directions of research and supervision**

My main research and supervision directions are:

Mathematics:

- Extreme points of the Vandermonde determinant on various surfaces and related applications in curve fitting.
- Phenomenological modelling of electrostatic discharge current in electromagnetic compatibility.
- Comparison of mathematical models of mortality rate with respect to various applications.

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**Name:** Johan Richter

**Position and Academic title:** Senior lecturer, PhD

**Email: **johan.richter@mdh.se

**Directions of research and supervision:**

My research is in ring theory, with a special focus on Ore extensions. I have also done some research on Hom-algebraic structures, both hom-associative and hom-Lie algebras, in collaboration with other researchers.

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