Marie Skłodowska-Curie Actions

Post-doctoral Research Fellowship: MSCA-IF 2017 at the Department of Mathematical Analysis

    01/09/2018 12:30 - Europe/Brussels
    H2020 / Marie Skłodowska-Curie Actions COFUND
    Spain, Granada
    International Project Office
    Promotion & Advisory

Professor M. Victoria Velasco Collado, from the Department of Mathematical Analysis at the University of Granada, welcomes postdoctoral candidates interested in applying for a Marie Skłodowska-Curie Individual Fellowships (MSCA-IF) in this university. Applicants must comply with the Mobility Rule (more information in the participant guide: http://sl.ugr.es/097k).



This supervisor has been the responsible person or “Investigador Principal” (IP for shortly) of many competitive projects of the Spanish National Plan for Research. Currently is the IP of the Research Project MTM2016-76327-C3-2-P entitled “Evolution algebras and non-associative structures” which is active since January 2017 until January 2020. This This is a Coordinated Project with the one of the University of Malaga with reference MTM2016-76327-C3-1-P whose leader is Mercedes Siles Molina. The components of the first mentioned Project (leadered is this Supervisor) are the professors the University of Granada Miguel Cabrera García, Ángel Rodríguez Palacios and Antonio Moreno Galindo, joint with the professors Cho-Ho Chu, from the London University (UK), and Garth Dales from Lancaster University (UK). The numbers of monographies written by the mentioned professors, published in the most prestigious editorials of the world, are more than 25 (as detailed in the Project) and, similarly, the number and quality of papers authored by members of this research group is also very relevant. 

This research group is strongly connected with the IE-Math- Granada (Spanish Institute of Mathematics -Granada), see wpd.ugr.es/~iemath/es/. Indeed, this Supervisor is a member of its External Relations Committee. All this facts together are a guaranty for the connection of the student supervised with a strong group of researchers in Mathematics linked to a very competitive university in Mathematics. 

Since the mathematical formulation of Mendel's Laws in terms of non-associative products of elements of a given algebra was culminated by Etherington's [1,2], the non-associative algebraic structures always provided a suitable framework for modeling processes related to genetics and population dynamics. Thus, the term genetic algebra was coined to denote a (possibly non-associative) algebra used to model inheritance in genetics. 

Recently evolution algebras have emerged as the most suitable type of genetic algebra to model the non-Mendelian genetics, which is basic in molecular Biology. They were introduced in [3]. There it is shown that by applying the evolution algebra theory to the inheritance of organelle genes, all the possible mechanisms to establish the homoplasmy of cell populations can be predicted. Also deep connections between evolution algebras and many other mathematical fields are established, including graph theory, group theory, stochastic processes, dynamical systems, knot theory, 3-manifolds, etc. 

The systematic study of infinite dimensional evolution algebras began in [1]. The aim of this project is to investigate in basic aspects of the theory of algebra of evolution and its connections with other fields and, therefore, to explore some new and interesting open paths of investigation. 

[1] Y. Cabrera, M. V. Velasco y M. Siles Molina, Evolution algebras of arbitrary dimension and their decompositions, Linear Algebra Appl. 495 (2016), 122–162. 

[2] I. M. H. Etherington, Genetic algebras, Proc. Roy. Soc. Edinburgh 59 (1939), 242–258. 

[3] I. Etherington, Non-associative algebra and the symbolic of genetics, Proc. Roy. Soc. Edinburgh 61 (1941), 24–42. 

[4] J. P. Tian, Evolution algebras and their applications, Lecture Notes in Mathematics 1921, Springer, 2008. 

Research Area:

  • Mathematics (MAT) 

For a correct evaluation of your candidature, please send the documents below to Professor (vvelasco@ugr.es):

  • CV
  • Letter of recommendation (optional)