After finishing my PhD in algebraic geometry at Universitat de Barcelona, I was awarded a Fulbright grant to do a postdoc at UC Berkeley under the supervision of Robin Hartshorne. Afterwards, I moved to Universitat Politècnica de Calaunya with a Ramon y Cajal contract. By that time, I started shifting interests towards the applications of algebraic geometry in phylogenetics. In this new field I have contributed by studying the geometry of evolutionary models and providing new methods of phylogenetic reconstruction that are based on algebraic techniques. I have produced more that fourty publications, alone or in collaboration with international researchers. I have been the principal investigator of a team of 20 scientists and I am nowadays the head of studies of the Data Science and Engineering degree at UPC.
Algebraic methods in phylogenetics, evolutionary models of molecular substitution, phylogenetic invariants, algebraic statistics
PI of 1) GEOMETRÍA Y TOPOLOGÍA DE VARIEDADES, ALGEBRA, Y APLICACIONES
(MTM2015-69135-P); 2) GEOMETRÍA ALGEBRAICA, SIMPLECTICA, ARITMETICA Y APLICACIONES
1) M. Casanellas, J. Fernández-Sánchez, M. Michalek, Local equations for equivariant evolutionary models, Advances in Mathematics (2017) , 315, 285-323.
2) J. Fernández-Sánchez, M. Casanellas, Invariant versus classical approach when evolution is heterogeneous across sites and lineages, Systematic Biology (2016), 65 (2), 280-291.
3) M. Casanellas, J.Fernández-Sánchez, Relevant phylogenetic invariants of evolutionary models, J. Mathématiques Pures et Appliquées 96 (2011), 207-229.
4) M. Casanellas, R. Hartshorne, ACM bundles on cubic surfaces, Journal of the European Mathematical Society 13 (2011), 709-731.
5) M. Casanellas, J. Fernández-Sánchez, Performance of a new invariants method on homogeneous and non-homogeneous quartet trees, Molecular Biology and Evolution, 24(1):288-293, 2007.