Marta Casanellas

Associate professor at UPC
Research area: Geometry / Mathematical Modelling

PhD in Mathematics obtained at UB (2002)

Biosketch

I finished my PhD in algebraic geometry in 2002 and afterwards I got a Fulbright postdoctoral grant to study at University of California Berkeley. There I started a collaboration with Robin Hartshorne that lead to relevant results in liaison theory and to the link of this theoryto the classification of ACM bundles. In 2004 I changed my interest towards applications of mathematics in biology. Since then I have collaborated with biologists at the Centre for Genomic Regulation and our group at UPC has managed to provide new and successful methods for phylogenetic reconstruction. I have published more than 30 research papers (some of them have achieved a high impact, for example my Scopus h-index is 8), I have directed one Ph D theses and I am the principal investigator of a team of 18 researchers.

Research lines

  • Algebraic and geometric tools in phylogenetic reconstruction
  • Algebraic evolutionary models
  • Global and local geometry of phylogenetic varieties

Selected publications

  • Casanellas, M.; Hartshorne, R.. ACM bundles on cubic. Journal of the European Mathematical Society (2011). Vol.: 13. Número: 3. Págs: 709 ~ 731.
  • Kedzierska, A.; Drton, M.; Guigó, R.; Casanellas, M.. SPIn: model selection for phylogenetic mixtures via linear invariants. Molecular biology and evolution. (2011). Vol.: 29 (3) Págs: 1- 9.
  • Casanellas, M.; Fernández-Sánchez, J. Relevant phylogenetic invariants of equivariant models. Journal de mathématiques pures et appliquées (2010). Vol.: 96. Págs: 207 ~229.
  • Casanellas, M.; Fernández-Sánchez, J. Performance of a new invariants method on homogeneous and nonhomogeneous quartet trees. Molecular biology and evolution. (2007). Vol.: 24 (1). Págs: 288 ~ 293.
  • Casanellas, M.; Drozd, E.; Hartshorne, R.. Gorenstein liaison and ACM sheaves. Journal für die Reine und angewandte Mathematik (2005). Vol.: 584. Págs: 149 ~ 171.