Maths Research Associates 2021 Cardiff

Lead Research Organisation: CARDIFF UNIVERSITY
Department Name: Sch of Mathematics

Abstract

Abstracts are not currently available in GtR for all funded research. This is normally because the abstract was not required at the time of proposal submission, but may be because it included sensitive information such as personal details.

Publications

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Grande R (2022) A stochastic representation for the solution of approximated mean curvature flow in Nonlinear Differential Equations and Applications NoDEA

 
Description The grant was provided to enable recent PhD graduates to embark on independent research careers. A number of appointments have been made and the researchers have been working on problems in mathematical analysis, geometry and topology and mathematical physics. Specific achievements will be added at a later date since the research associates have only been in post for several months.
Exploitation Route The outcomes of this funding will be of most use to the further exploration of new mathematical ideas and concepts.
Sectors Digital/Communication/Information Technologies (including Software),Manufacturing, including Industrial Biotechology

 
Description University of Heidelberg: C++ code for parallelizing persistent homology computations on alpha complexes 
Organisation Heidelberg University
Country Germany 
Sector Academic/University 
PI Contribution 15-28 January invitation to give a talk and work with a PhD student in at IWR in the University of Heidelberg. , while the grant EP/W522405/1 covered for accommodation and subsistence. Collaborating with F Bretz in developing a C++ code for parallelizing persistent homology computations on alpha complexes. A publication from this joint work is expected in the near future (3-4 months). This article and the published code will both have the grant number EP/W522405/1. During the visit, an invited seminar talk was given: Álvaro Torras Casas. Mayer-Vietoris-Spectral-Sequence and the extension problem. Heidelberg TDA Seminar (Winter 2022/23). Exzellenz-STRUCTURES cluster, Universität Heidelberg. URL: https://wiki.structures.mathi.uni-heidelberg.de/index.php/Heidelberg_TDA_Seminar_(Winter_2022/23).
Collaborator Contribution The travel costs were covered by the host institution
Impact Collaborating with F Bretz in developing a C++ code for parallelizing persistent homology computations on alpha complexes. A publication from this joint work is expected in the near future (3-4 months). This article and the published code will both have the grant number EP/W522405/1
Start Year 2023