Dr Dmitri Finkelshtein

Associate Professor

Mathematics

+44 (0) 1792 606291

d.l.finkelshtein@swansea.ac.uk

Office - 325
Third Floor
Computational Foundry
Bay Campus

Available For Postgraduate Supervision

Research Links

https://orcid.org/0000-0001-7136-9399

ResearchGate

Google Scholar

ResearcherID

Scopus

About

I am an Associate Professor in the Department of Mathematics at Swansea University. My research is mainly about the topics in analysis, probability, mathematical physics, and PDE inspired by and used in the theory of complex systems. I have dealt with infinite-dimensional analysis, applications of methods of functional analysis and probability theory to mathematical physics, random measures, stochastic dynamics, and mathematical biology. I am actively working on the study of non-local evolution equations arising as scaling limits for stochastic dynamics of the considered complex systems.

Degrees

PhD 2004 & DSc (Habilitation) 2014 — Institute of Mathematics, Kyiv, Ukraine
BSc (Hons) Mathematics 1999 & MSc (Hons) Mathematics 2000 — National University of Kyiv, Ukraine

Areas Of Expertise

Complex Systems
Infinite-Dimensional Analysis
Point Processes
Non-local Evolution Equations
Population Ecology
Umbral Calculus

Career Highlights

Teaching Interests

Mathematical Analysis, Functional Analysis, Fourier Analysis
Dynamical Systems, Ordinary and Partial Differential Equations
Probability Theory, Stochastic Processes, Markov Chains

Research Award Highlights Collaborations

Publications

Research Highlights

Finkelshtein, D., Lytvynov, E., Kondratiev, Y., & Oliveira, M. (n.d.) Finite difference calculus in the continuum. Ukrainian Mathematical Journal
SU Repository: https://cronfa.swan.ac.uk/Record/cronfa68123
Finkelshtein, D., Lytvynov, E., Oliveira, M., Kuchling, P., & Kondratiev, Y. (n.d.) Analysis on the cone of discrete Radon measures. Pure and Applied Functional Analysis
SU Repository: https://cronfa.swan.ac.uk/Record/cronfa66108
Hamis, S., Somervuo, P., Ågren, J., Tadele, D., Kesseli, J., Scott, J., Nykter, M., Gerlee, P., Finkelshtein, D., & Ovaskainen, O. (2023). Spatial cumulant models enable spatially informed treatment strategies and analysis of local interactions in cancer systems. Journal of Mathematical Biology, 86(5)
https://doi.org/10.1007/s00285-023-01903-x, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa63090
http://dx.doi.org/10.1007/s00285-023-01903-x
Finkelshtein, D., Kondratiev, Y., Lytvynov, E., & Oliveira, M. (2022). Stirling operators in spatial combinatorics. Journal of Functional Analysis, 282(2), 109285
https://doi.org/10.1016/j.jfa.2021.109285, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa58358
Cornell, S., Suprunenko, Y., Finkelshtein, D., Somervuo, P., & Ovaskainen, O. (2019). A unified framework for analysis of individual-based models in ecology and beyond. Nature Communications, 10(1)
https://doi.org/10.1038/s41467-019-12172-y, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa52506

All Research

Journal Articles

Hamis, S., Somervuo, P., Ågren, J., Tadele, D., Kesseli, J., Scott, J., Nykter, M., Gerlee, P., Finkelshtein, D., & Ovaskainen, O. (2023). Spatial cumulant models enable spatially informed treatment strategies and analysis of local interactions in cancer systems. Journal of Mathematical Biology, 86(5)
https://doi.org/10.1007/s00285-023-01903-x, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa63090
http://dx.doi.org/10.1007/s00285-023-01903-x
Finkelshtein, D. (2022). Extinction threshold in the spatial stochastic logistic model: space homogeneous case. Applicable Analysis, 101(7), 2726-2753.
https://doi.org/10.1080/00036811.2020.1820996, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa55219
Finkelshtein, D., Kondratiev, Y., Lytvynov, E., & Oliveira, M. (2022). Stirling operators in spatial combinatorics. Journal of Functional Analysis, 282(2), 109285
https://doi.org/10.1016/j.jfa.2021.109285, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa58358
Finkelshtein, D., Kondratiev, Y., & Kuchling, P. (2021). Markov dynamics on the cone of discrete Radon measures. Methods of Functional Analysis and Topology, 27(2), 173-191.
https://doi.org/10.31392/MFAT-npu26_2.2021.06, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa58285
http://mfat.imath.kiev.ua/article/?id=1563
Bezborodov, V., Persio, L., Finkelshtein, D., Kondratiev, Y., & Kutoviy, O. (2021). Fecundity regulation in a spatial birth-and-death process. Stochastics and Dynamics, 21(01), 2050038
https://doi.org/10.1142/s0219493720500380, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa53563
http://dx.doi.org/10.1142/s0219493720500380
Ovaskainen, O., Somervuo, P., & Finkelshtein, D. (2021). Mathematical and simulation methods for deriving extinction thresholds in spatial and stochastic models of interacting agents. Methods in Ecology and Evolution, 12(1), 162-169.
https://doi.org/10.1111/2041-210x.13498, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa55458
Ovaskainen, O., Somervuo, P., & Finkelshtein, D. (2020). A general mathematical method for predicting spatio-temporal correlations emerging from agent-based models. Journal of The Royal Society Interface, 17(171), 20200655
https://doi.org/10.1098/rsif.2020.0655, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa55531
http://dx.doi.org/10.1098/rsif.2020.0655
Finkelshtein, D., Kondratiev, Y., & Tkachov, P. (2019). Doubly nonlocal Fisher–KPP equation: front propagation. Applicable Analysis, 1-24.
https://doi.org/10.1080/00036811.2019.1643011, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa51086
http://dx.doi.org/10.1080/00036811.2019.1643011
Cornell, S., Suprunenko, Y., Finkelshtein, D., Somervuo, P., & Ovaskainen, O. (2019). A unified framework for analysis of individual-based models in ecology and beyond. Nature Communications, 10(1)
https://doi.org/10.1038/s41467-019-12172-y, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa52506
Finkelshtein, D., Kondratiev, Y., & Tkachov, P. (2019). Accelerated front propagation for monostable equations with nonlocal diffusion: multidimensional case. Journal of Elliptic and Parabolic Equations, 5(2), 423-471.
https://doi.org/10.1007/s41808-019-00045-w, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa52633
Finkelshtein, D., Kondratiev, Y., Lytvynov, E., Oliveira, M., & Streit, L. (2019). Sheffer homeomorphisms of spaces of entire functions in infinite dimensional analysis. Journal of Mathematical Analysis and Applications, 479(1), 162-184.
https://doi.org/10.1016/j.jmaa.2019.06.021, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa50766
Finkelshtein, D., Kondratiev, Y., & Tkachov, P. (2019). Doubly nonlocal Fisher–KPP equation: Speeds and uniqueness of traveling waves. Journal of Mathematical Analysis and Applications, 475(1), 94-122.
https://doi.org/10.1016/j.jmaa.2019.02.010, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa48668
Finkelshtein, D., Kondratiev, Y., Lytvynov, E., & Oliveira, M. (2019). An infinite dimensional umbral calculus. Journal of Functional Analysis, 276(12), 3714-3766.
https://doi.org/10.1016/j.jfa.2019.03.006, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa49896
Finkelshtein, D. & Tkachov, P. (2019). An Ikehara-type theorem for functions convergent to zero. Comptes Rendus Mathematique, 357(4), 333-338.
https://doi.org/10.1016/j.crma.2019.04.007, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa49983
http://dx.doi.org/10.1016/j.crma.2019.04.007
Finkelshtein, D. & Tkachov, P. (2019). Accelerated nonlocal nonsymmetric dispersion for monostable equations on the real line. Applicable Analysis, 98(4), 756-780.
https://doi.org/10.1080/00036811.2017.1400537, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa36426
Finkelshtein, D., Kondratiev, Y., & Tkachov, P. (2019). Existence and properties of traveling waves for doubly nonlocal Fisher-KPP equations. Electronic Journal of Differential Equations, 2019(10), 1-27.
SU Repository: https://cronfa.swan.ac.uk/Record/cronfa48385
https://ejde.math.txstate.edu/Volumes/2019/10/abstr.html
Daletskii, A. & Finkelshtein, D. (2018). Non-equilibrium Particle Dynamics with Unbounded Number of Interacting Neighbors. Journal of Statistical Physics, 173(6), 1639-1659.
https://doi.org/10.1007/s10955-018-2159-x, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa44748
http://dx.doi.org/10.1007/s10955-018-2159-x
Finkelshtein, D., Kondratiev, Y., Molchanov, S., & Tkachov, P. (2018). Global stability in a nonlocal reaction-diffusion equation. Stochastics and Dynamics, 18(05), 1850037
https://doi.org/10.1142/S0219493718500375, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa35092
http://www.worldscientific.com/worldscinet/sd
Finkelshtein, D. & Tkachov, P. (2018). Kesten's bound for subexponential densities on the real line and its multi-dimensional analogues. Advances in Applied Probability, 50(02), 373-395.
https://doi.org/10.1017/apr.2018.18, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa38336
Finkelshtein, D. & Tkachov, P. (2018). The hair-trigger effect for a class of nonlocal nonlinear equations. Nonlinearity, 31(6), 2442-2479.
https://doi.org/10.1088/1361-6544/aab1cb, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa38865
Finkelshtein, D. (2015). Around Ovsyannikov's method. Methods of Functional Analysis and Topology, 21(2), 134-150.
SU Repository: https://cronfa.swan.ac.uk/Record/cronfa22265
http://www.imath.kiev.ua/~mfat/
Finkelshtein, D., Friesen, M., Hatzikirou, H., Kondratiev, Y., Krueger, T., & Kutoviy, O. (2015). Stochastic models of tumour development andrelated mesoscopic equations. Interdisciplinary Studies of Complex Systems, 7, 5-85.
SU Repository: https://cronfa.swan.ac.uk/Record/cronfa31246
http://iscs-journal.npu.edu.ua/article/view/56266/52444
Finkelshtein, D., Kondratiev, Y., & Kutoviy, O. (2015). Statistical dynamics of continuous systems: perturbative and approximative approaches. Arabian Journal of Mathematics, 4(4), 255-300.
https://doi.org/10.1007/s40065-014-0111-8, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa18608
http://dx.doi.org/10.1007/s40065-014-0111-8
Finkelshtein, D., Kondratiev, Y., Kozitsky, Y., & Kutoviy, O. (2015). The statistical dynamics of a spatial logistic model and the related kinetic equation. Mathematical Models and Methods in Applied Sciences, 25(02), 343-370.
https://doi.org/10.1142/s0218202515500128, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa19202
http://dx.doi.org/10.1142/s0218202515500128
Finkelshtein, D., Kondratiev, Y., Kutoviy, O., & Oliveira, M. (2015). Dynamical Widom–Rowlinson Model and Its Mesoscopic Limit. Journal of Statistical Physics, 158(1), 57-86.
https://doi.org/10.1007/s10955-014-1124-6, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa18609
http://dx.doi.org/10.1007/s10955-014-1124-6
Finkelshtein, D., Kondratiev, Y., Kutoviy, O., Molchanov, S., & Zhizhina, E. (2014). Density behavior of spatial birth-and-death stochastic evolution of mutating genotypes under selection rates. Russian Journal of Mathematical Physics, 21(4), 450-459.
https://doi.org/10.1134/s1061920814040037, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa19725
http://dx.doi.org/10.1134/s1061920814040037
Finkelshtein, D., Kondratiev, Y., Kutoviy, O., & Zhizhina, E. (2014). On an aggregation in birth-and-death stochastic dynamics. Nonlinearity, 27(6), 1105-1133.
https://doi.org/10.1088/0951-7715/27/6/1105, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa18001
http://dx.doi.org/10.1088/0951-7715/27/6/1105
Ovaskainen, O., Finkelshtein, D., Kutoviy, O., Cornell, S., Bolker, B., & Kondratiev, Y. (2014). A general mathematical framework for the analysis of spatiotemporal point processes. Theoretical Ecology, 7(1), 101-113.
https://doi.org/10.1007/s12080-013-0202-8, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa16784
http://dx.doi.org/10.1007/s12080-013-0202-8
Finkelshtein, D., KONDRATIEV, Y., & KUTOVIY, O. (2013). ESTABLISHMENT AND FECUNDITY IN SPATIAL ECOLOGICAL MODELS: STATISTICAL APPROACH AND KINETIC EQUATIONS. Infinite Dimensional Analysis, Quantum Probability and Related Topics, 16(02), 1350014
https://doi.org/10.1142/s0219025713500148, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa16775
http://dx.doi.org/10.1142/s0219025713500148
Finkelshtein, D., Kondratiev, Y., & Oliveira, M. (2013). Markov Evolutions and Hierarchical Equations in the Continuum. II: Multicomponent Systems. Reports on Mathematical Physics, 71(1), 123-148.
https://doi.org/10.1016/s0034-4877(13)60024-5, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa16785
http://dx.doi.org/10.1016/s0034-4877(13)60024-5
Finkelshtein, D., Kondratiev, Y., & Kozitsky, Y. (2013). Glauber dynamics in continuum: A constructive approach to evolution of states. Discrete & Continuous Dynamical Systems - A, 33(4), 1431-1450.
https://doi.org/10.3934/dcds.2013.33.1431, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa15209
http://dx.doi.org/10.3934/dcds.2013.33.1431
Finkelshtein, D., Kondratiev, Y., & Oliveira, M. (2012). Glauber dynamics in the continuum via generating functionals evolution. Complex Analysis and Operator Theory, 6(4), 923-945.
https://doi.org/10.1007/s11785-011-0170-1, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa16776
Finkelshtein, D., Kondratiev, Y., & Kutoviy, O. (2012). Correlation functions evolution for the Glauber dynamics in continuum. Semigroup Forum, 85(2), 289-306.
https://doi.org/10.1007/s00233-012-9409-z, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa16777
http://dx.doi.org/10.1007/s00233-012-9409-z
Finkelshtein, D., Kondratiev, Y., Kutoviy, O., & Zhizhina, E. (2012). An approximative approach for construction of the Glauber dynamics in continuum. Mathematische Nachrichten, 285(2-3), 223-235.
https://doi.org/10.1002/mana.200910248, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa16778
http://dx.doi.org/10.1002/mana.200910248
Finkelshtein, D., Kondratiev, Y., & Kutoviy, O. (2012). Semigroup approach to birth-and-death stochastic dynamics in continuum. Journal of Functional Analysis, 262(3), 1274-1308.
https://doi.org/10.1016/j.jfa.2011.11.005, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa15210
http://dx.doi.org/10.1016/j.jfa.2011.11.005
Finkelshtein, D., KONDRATIEV, Y., & KUTOVIY, O. (2011). VLASOV SCALING FOR THE GLAUBER DYNAMICS IN CONTINUUM. Infinite Dimensional Analysis, Quantum Probability and Related Topics, 14(04), 537-569.
https://doi.org/10.1142/s021902571100450x, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa16779
http://dx.doi.org/10.1142/s021902571100450x
Finkelshtein, D., Kondratiev, Y., Kutoviy, O., & Lytvynov, E. (2011). Binary jumps in continuum. II. Non-equilibrium process and a Vlasov-type scaling limit. Journal of Mathematical Physics, 52(11), 113301
https://doi.org/10.1063/1.3657345, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa7543
http://dx.doi.org/10.1063/1.3657345
Finkelshtein, D., Kondratiev, Y., Kutoviy, O., & Lytvynov, E. (2011). Binary jumps in continuum. I. Equilibrium processes and their scaling limits. Journal of Mathematical Physics, 52(6), 063304
https://doi.org/10.1063/1.3601118, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa7542
http://dx.doi.org/10.1063/1.3601118
Finkelshtein, D., Kondratiev, Y., & Kutoviy, O. (2010). Vlasov scaling for stochastic dynamics of continuous systems. Journal of Statistical Physics, 141(1), 158-178.
https://doi.org/10.1007/s10955-010-0038-1, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa16781
Finkelshtein, D., Kondratiev, Y., & Oliveira, M. (2009). Markov evolutions and hierarchical equations in the continuum. I: one-component systems. Journal of Evolution Equations, 9(2), 197-233.
https://doi.org/10.1007/s00028-009-0007-9, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa16783
Finkelshtein, D. & Kondratiev, Y. (2009). Regulation mechanisms in spatial stochastic development models. Journal of Statistical Physics, 136(1), 103-115.
https://doi.org/10.1007/s10955-009-9764-7, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa16782
Finkelshtein, D., Kondratiev, Y., & Kutoviy, O. (2009). Individual Based Model with Competition in Spatial Ecology. SIAM Journal on Mathematical Analysis, 41(1), 297-317.
https://doi.org/10.1137/080719376, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa15212
http://dx.doi.org/10.1137/080719376
Finkelshtein, D., Lytvynov, E., Kondratiev, Y., & Oliveira, M. (n.d.) Finite difference calculus in the continuum. Ukrainian Mathematical Journal
SU Repository: https://cronfa.swan.ac.uk/Record/cronfa68123
Finkelshtein, D., Lytvynov, E., Oliveira, M., Kuchling, P., & Kondratiev, Y. (n.d.) Analysis on the cone of discrete Radon measures. Pure and Applied Functional Analysis
SU Repository: https://cronfa.swan.ac.uk/Record/cronfa66108

Book Chapters

Finkelshtein, D. & Oliveira, M. (2014). A Survey on Bogoliubov Generating Functionals for Interacting Particle Systems in the Continuum. Springer Proceedings in Mathematics & Statistics (pp. 161-177). Springer Berlin Heidelberg
https://doi.org/10.1007/978-3-642-54271-8_6, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa18002
http://dx.doi.org/10.1007/978-3-642-54271-8_6

Supervision

Untitled (current)

PhD

Other supervisor: Dr Angelica Pachon
Lie-like structures of the Sheffer group over a vector space. (current)

PhD

Other supervisor: Prof Eugene Lytvynov
Mathematical analysis of singular Thomas-Fermi type models (current)

PhD

Other supervisor: Prof Vitaly Moroz
Umbral calculus over a Hilbert space. (current)

PhD

Other supervisor: Prof Eugene Lytvynov
Mathematical modelling of brain formation to map species variation and developmental malformations. (current)

PhD

Other supervisor: Prof Elaine Crooks
Generalised Weyl algebras and Segal--Bargmann transform for the Meixner class of orthogonal polynomials (current)

PhD

Other supervisor: Prof Eugene Lytvynov
Mathematical models of tumour growth: the beyond mean-field approach (current)

PhD

Other supervisor: Prof Gibin Powathil
Thomas–Fermi Type Variational Problems With Low Regularity (current)

PhD

Other supervisor: Prof Vitaly Moroz
Solutions to a class of nonlinearSchrodinger equations involving a nonlocal term (awarded 2024)

PhD

Other supervisor: Dr Carlo Mercuri

Other supervisor: Prof Michael Edwards
Quasi-free states on algebra of multicomponent commutation relations (awarded 2023)

PhD

Other supervisor: Prof Eugene Lytvynov

Taught Modules

MA-365 Risk and Survival Models

This module will introduce students to sections 1, 2 and 4 of the Institute and Faculty of Actuaries CS2 syllabus. The module covers insurance risk modelling based on loss and compound distributions, time series and their applications, survival models and the estimations of their distributions and transition intensities, and future mortality projection.
MA-375 Dynamical Systems

An introduction to the concepts and principles of dynamical systems from the analytical perspective. The course starts with the difference between discrete- and continuous time dynamical systems. It describes then the basic object of dynamical systems for the classical first-order differential equations, considers planar linear and non-linear systems, their phase portraits and classification. Applications in Biology, Mechanics and Physics will be considered.
MA-M16 Probability and Statistics for Data Science

This module serves as an introduction to the concepts of probability and statistics required for Data Science. Both the theoretical concepts and practical examples will be explored throughout the module. Particular attention will be paid to applications using a programming language.
MA-M65 Risk and Survival Models

This module will introduce students to sections 1, 2 and 4 of the Institute and Faculty of Actuaries CS2 syllabus. The module covers insurance risk modelling based on loss and compound distributions, time series and their applications, survival models and the estimations of their distributions and transition intensities, and future mortality projection.
MA-M75 Dynamical Systems

An introduction to the concepts and principles of dynamical systems from the analytical perspective. The course starts with the difference between discrete- and continuous time dynamical systems. It describes then the basic object of dynamical systems for the classical first-order differential equations, considers planar linear and non-linear systems, their phase portraits and classification. Applications in Biology, Mechanics and Physics will be considered.

Career History

Associate Professor, Swansea University

March 2020 - Present
Senior Lecturer, Swansea University

March 2017 - February 2020
Lecturer, Swansea University

September 2013 - February 2017
Scientific Fellow, Bielefeld University (Germany)

March 2013 - August 2013
Senior Research Fellow, Institute of Mathematics (Kyiv, Ukraine)

September 2009 - February 2013
Research Fellow, Institute of Mathematics (Kyiv, Ukraine)

January 2008 - August 2009
Junior Research Fellow, Institute of Mathematics (Kyiv, Ukraine)

December 2003 - December 2008

Key Grants and Projects

HORIZON-INFRA-2021: Biodiversity Digital Twin for Advanced Modelling, Simulation and Prediction Capabilities 2022 - 2025

Funding provided by Innovate UK through the guarantee scheme: https://app.dimensions.ai/details/grant/grant.13022238, £265,330

Dr Dmitri Finkelshtein

Telephone number

Email address

LinkedIn Account

Research Links

About

Degrees

Areas Of Expertise

Career Highlights

Research Highlights

All Research

Untitled (current)

Lie-like structures of the Sheffer group over a vector space. (current)

Mathematical analysis of singular Thomas-Fermi type models (current)

Umbral calculus over a Hilbert space. (current)

Mathematical modelling of brain formation to map species variation and developmental malformations. (current)

Generalised Weyl algebras and Segal--Bargmann transform for the Meixner class of orthogonal polynomials (current)

Mathematical models of tumour growth: the beyond mean-field approach (current)

Thomas–Fermi Type Variational Problems With Low Regularity (current)

Solutions to a class of nonlinearSchrodinger equations involving a nonlocal term (awarded 2024)

Quasi-free states on algebra of multicomponent commutation relations (awarded 2023)

MA-365 Risk and Survival Models

MA-375 Dynamical Systems

MA-M16 Probability and Statistics for Data Science

MA-M65 Risk and Survival Models

MA-M75 Dynamical Systems

Associate Professor, Swansea University

Senior Lecturer, Swansea University

Lecturer, Swansea University

Scientific Fellow, Bielefeld University (Germany)

Senior Research Fellow, Institute of Mathematics (Kyiv, Ukraine)

Research Fellow, Institute of Mathematics (Kyiv, Ukraine)

Junior Research Fellow, Institute of Mathematics (Kyiv, Ukraine)