Resume
I am currently a Senior Lecturer in Mathematics and Computing at Kingston University London. I received my PhD in June 2017 from University of Strathclyde in Glasgow, working under the supervision of Victorita Dolean and Gabriel Bararenechea. My main interest is in coupling problems thus, I continue working with Timo Betcke and Erik Burman from my previous position at University College London and Christopher Cooper from Universidad Técnica Federico Santa María on virus simulations. If multi-physical problems or coupling schemes are your interest, do not wait and drop me a message and I will take it from there.
Experience
2023 - NOW
SENIOR LECTURER
School of Computer Science
and Mathematics
Kingston University London
London, United Kingdom
I was promoted to Senior Lecturer in Mathematics and Computing at Kingston University London two years after joining. My research areas are Numerical Analysis and Scientific Computing. I still focus on the design, analysis and efficient implementation of Finite or Boundary element methods for various coupling problems. For more information, I invite you to the Research section.
2021 - 2023
LECTURER
School of Computer Science
and Mathematics
Kingston University London
London, United Kingdom
I have been a Lecturer in Mathematics and Computing at Kingston University London since 2021. I focus on the design, analysis and efficient implementation of Finite or Boundary element methods for coupling problems arriving from Molecular Dynamics. The software developed allows calculating solvation or binding energy using implicit solvent models.
2019 - 2021
RESEARCH ASSOCIATE
Department of Mathematics
University College London
London, United Kingdom
Nowadays many applications require solving multi-physical problems. Thus, coupling methods are important in numerical analysis. They allow us to consider different methods in various parts of a domain. For this reason, my work focuses on the coupling of Finite Element Methods and Boundary Element Methods. The main issue with such an approach is associated with imposing coupling conditions on the interface. It can be done by weakly imposing interface conditions within the discrete formulation of each coupled problem.
2017 - 2019
RESEARCH ASSOCIATE
Department of Mathematics
University of Pavia
Pavia, Italy
The Isogeometric method is an extension of the classical Finite Element method and is based on the idea of using splines. However, the computational cost per degree of freedom is also higher, hence fast solvers are so popular in the Isogeometric society. My postdoctoral project required pairing Fast Diagonalisation with Domain Decomposition preconditioners to be able to solve different problems from mechanics and fluid dynamics is the main interest of study.
Education
2014 - 2017
UNIVERSITY OF STRATHCLYDE
Doctor of Philosophy
Glasgow, United Kingdom
The main goal of the project was to propose efficient discretisation and parallel solution techniques for Stokes equations. To do so, I combined a hybrid discontinuous Galerkin discretisation and a Domain Decomposition method using non-standard interface conditions. It involved proving the well-posedness, estimating error and implementing various Finite Element methods and Domain Decomposition preconditioners.
2011 - 2013
UNIVERSITY OF TECHNOLOGY
Master of Mathematics
Wroclaw, Poland
My research focused on statistics, more specifically estimation theory. In my dissertation, I characterised the existence of a maximum likelihood estimator for a certain class of discontinuous functions, namely for simple functions. This result was exploited to characterise the existence of maximum likelihood estimators for discrete exponential families. Applications include the exponential family based on random graphs.
2009 - 2012
UNIVERSITY OF WROCLAW
Computer Science
Wroclaw, Poland
The motivation for the second-degree course was a willingness to develop my programming abilities and learn more programming languages. Besides learning such languages as C++ and Python, I studied various algorithms and data structures. I was introduced to various numerical methods and error approximation techniques, along with a mathematical environmental named Maple.
2008 - 2011
UNIVERSITY OF TECHNOLOGY
Bachelor of Mathematics
Wroclaw, Poland
I studied various mathematical subjects, for instance, real and complex analyses, algebra, stochastic, and mathematical platforms such as R, Matlab and Mathematica. Furthermore, I learnt how to apply that knowledge as a member of a non-profit organisation that acquires real-life problems from the industry and solves them by using mathematical modelling.
Languages
English (fluent)
Polish (native)
Spanish (conversant)
Computer skills
Maple
Mathematics
Matlab
BEM++
FEniCS
FreeFEM++
C++
Python