Dr Jozsef Zoltan Farkas

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Mathematics Computing Science and Mathematics, University of Stirling, Stirling, FK9 4LA

Dr Jozsef Zoltan Farkas

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About me

About me

PhD in Applied Mathematics (summa cum laude)  Budapest University of Technology and Economics, Hungary, (2005) Department of Differential Equations, School of Mathematics

MSc in Mathematics (summa cum laude with distinction, "voros diploma") Budapest University of Technology and Economics, Hungary, (2002) Department of Geometry.

More details at my personal web page (see link above).

Research (12)

Structured populations, and applied analysis in the sciences.    Applications/problems I have worked on include:

Control of mosquito borne diseases via Wolbachia infections. Mathematical epidemiology. Non-small cell lung cancer: quantitative CT histogram analysis using mathematical models to quantify ground glass opacities. Cancer cell proliferation dynamics, in particular the effects of telomere-length shortening in the clonal evolution model of cancer. Predator-prey interactions in marine ecosystems, in particular zooplankton-phytoplankton ecosystems. Qualitative analysis of linear and non-linear partial differential equation models of physiologically structured populations. In particular, age- and size-structured populations.  Applications of operator theory in the life sciences, in particular semigroups of linear operators, spectral theory of positive operators.  Mathematical modelling of host-parasite dynamics in aquaculture, in particular see lice dynamics on farmed and wild salmonid species.  Sex-ratio distortions in structured insect populations, in particular the mathematical modelling of Wolbachia infection induced mechanisms.

[My MSc dissertation and a number of undergraduate research projects and papers published were on the classification of crystallographic groups in homogeneous 3-dimensional (Thurston) geometries;and I still maintain an interest in this deep and interesting research topic in mathematics. This area of mathematics is in fact part of our everyday life, as every material at the atomic level belongs to one of the Euclidean crystallographic structures.]

Projects

Women in Mathematics Day
PI: Dr Anna Kirpichnikova
Funded by: London Mathematical Society

EMS RSF - Visitor A Yu Morozov
PI: Dr Jozsef Zoltan Farkas
Funded by: Edinburgh Mathematical Society

Partial differential equation modelling of structured cell populations
PI: Dr Jozsef Zoltan Farkas
Funded by: Royal Society

Research in Spain on Qualitative questions of a multi-strain SIS model
PI: Dr Jozsef Zoltan Farkas
Funded by: The Carnegie Trust

Towards a cognitive vision-based Mulit-agent Modelling and control Framework
PI:
Funded by: The British Council

Infinite Dimensional Dynamical Systems in the Applied Sciences - Workshop
PI: Dr Jozsef Zoltan Farkas
Funded by: Edinburgh Mathematical Society

Royal Society of Edinburgh International Grant
PI: Dr Jozsef Zoltan Farkas
Funded by: The Royal Society of Edinburgh

RSE International Travel Grant
PI: Dr Jozsef Zoltan Farkas
Funded by: The Royal Society of Edinburgh

International Travel Grant 2009/R4.
PI: Dr Jozsef Zoltan Farkas
Funded by: Royal Society

Mathematical analysis of structured population models for Wolbachia infections
PI: Dr Jozsef Zoltan Farkas
Funded by: The Carnegie Trust

EMS Research Support: Peter Hinow
PI: Dr Jozsef Zoltan Farkas
Funded by: Edinburgh Mathematical Society

Analytical investigation and numerical approximation of hierarchically size structured population models
PI: Dr Jozsef Zoltan Farkas
Funded by: Engineering and Physical Sciences Research Council

Outputs (49)

Outputs

Other

Farkas JZ, Gourley S, Liu R & Yakubu A (2016) Using mathematics at AIM to outwit mosquitoes. Notices of the American Mathematical Society, 63 (3), pp. 292-293. http://www.ams.org/journals/notices/201603/201603-full-issue.pdf

Article

Farkas JZ & Hinow P (2012) Preface. Journal of Biological Dynamics, 6 (Supplement 1), p. 1. https://doi.org/10.1080/17513758.2011.615464

Conference Proceeding

Farkas JZ (2005) Stability of equilibria of a non-linear population dynamical model. In: Dumortier F F, Broer H, Mawhin J, Vanderbauwhede A A & Lunel S (eds.) EQUADIFF 2003: Proceedings of the International Conference on Differential Equations, Hasselt, Belgium, 22 – 26 July 2003. EQUADIFF 2003: International Conference on Differential Equations, Hasselt, Belgium, 22.07.2003-26.07.2003. London: World Scientific Publishing Co, pp. 1068-1070. http://www.worldscientific.com/worldscibooks/10.1142/5758; https://doi.org/10.1142/9789812702067_0182

Article

Farkas JZ (2001) The classification of S²xR space groups. Beitrage zur Algebra und Geometrie / Contributions to Algebra and Geometry, 42 (1), pp. 235-250. http://www.emis.de/journals/BAG/vol.42/no.1/15.html

Conference Proceeding

Farkas JZ & Molnar E (2001) Similarity and diffeomorphism classification of S2 x R manifolds. In: Kozma L, Nagy P & Tamassy L (eds.) Steps in Differential Geometry: Proceedings of the Colloquium on Differential Geometry, July 25-30, 2000, Debrecen, Hungary. Colloquium on Differential Geometry, Debrecen, Hungary, 25.07.2000-30.07.2000. Debrecen, Hungary: Institute of Mathematics and Informatics, University of Debrecen, pp. 105-118. http://www.emis.de/proceedings/CDGD2000/contents.html

Conference Paper (unpublished)

Farkas JZ Kristálycsoportok homogén geometriákban [Crystallographic groups in homogeneuous geometries]. Faculty of Natural Sciences, Technical University of Budapest Research Students Conference 2000, Budapest, Hungary.

Conference Paper (unpublished)

Farkas JZ Az S2 × R tércsoportjainak az osztályozása [On the classification of S2xR space groups]. Faculty of Natural Sciences, Technical University of Budapest Research Students Conference 1999, Budapest, Hungary.

Conference Paper (unpublished)

Farkas JZ Az S2 × R és H2 × R terek izometriáiról [On the isometries of the spaces S2xR and H2xR]. Faculty of Natural Sciences, Technical University of Budapest Research Students Conference 1998, Budapest, Hungary.

Teaching

Teaching

MATU9AF Introduction to Functional Analysis

MATU9RC Advanced Real and Complex Analysis

MAT9LA Complex Analysis

MAT(U)9LB Modelling with Differential Equations

MAT(U)9LC Real Analysis

MATU9KC Special Topics (Geometry)

MAT9MA Special Topics (Vector Calculus)

MAT9K4 Linear Algebra

MAT913 Mathematics and its Applications III (Calculus and Probability)

MAT912 Mathematics and its Applications II (Vector geometry)

MAT9J8 Short Projects

MAT9K8 Long Projects

MATU9RP Research Portfolio

ITNPBD1 Mathematical Foundations (MSc in Big Data and MSc Artificial Intelligence and fully online program)

ITNPBD5 Dissertation project (MSc in Big Data)

MATPMD5 Dissertation project (MSc Mathematics and Data Science)