Welcome to the webpage of

Marta Casanellas Rius

Address        Docència        Research

Contact address:

email address: marta.casanellasupc.edu

Actual position: "Agregate" professor at  Departament Matematica Aplicada I, Universitat Politècnica de Catalunya.

Former positions:

Ph. D. Thesis: Liaison theory in arbitrary codimension. Tutor: Rosa M. Miró-Roig, 2002.

Research topics:

• Algebraic statistics and computational biology since Summer 2004 while visiting Genome Bioinformatics Research Lab in Barcelona led by R. Guigó, and visiting Department of Mathematics UC Berkeley (working with a team led by L. Pachter and B. Sturmfels).
  
• Algebraic geometry.
  

Research papers:

• A. Kedzierska, M. Casanellas, Empar: EM-based algorithm for parameter estimation of
  Markov models on trees, arxiv:1207.1236
  
• M. Casanellas, A. Kedzierska, Generating Markov evolutionary matrices for a given branch length, Linear Algebra and its Applications (2013), 438, 2484-2499, pdf.
  
• A. Kedzierska, M.Casanellas, GenNon-h: Generating multiple sequence alignments on nonhomogeneous phylogenetic trees, BMC Bioinformatics (2012) 13:216, doi:10.1186/1471-2105-13-216, pdf.
  
• M. Casanellas, J. Fernández-Sánchez, A. Kedzierska, The space of phylogenetic mixtures of equivariant models, arXiv:1110.0920, Algorithms for Molecular Biology 7:33, 2012, doi:10.1186/1748-7188-7-33.
• M. Casanellas, Algebraic tools for evolutionary biology, EMS Newsletter , December 2012, p.12-18, pdf.
  
• M. Casanellas, Técnicas algebraicas para la evolución de las especies. Gaceta de la RSME (2012), 15 (3), pdf.
  
• A. Kedzierska, M.Drton, R. Guigó, M. Casanellas, SPIn: model selection for phylogenetic mixtures via
  linear invariants, Molecular Biology and Evolution 29 (2012), 929-937.
• M. Casanellas, J.Fernández-Sánchez, Relevant phylogenetic invariants of evolutionary models, J. Mathématiques Pures et Appliquées 96 (2011),  207-229.
• M. Casanellas, J. Fernández-Sánchez, Reconstrucción filogenética usando geometría algebraica, Arbor CLXXXXVI 746 (2010), 1023-1033, http://hdl.handle.net/2117/16852 .
• M. Casanellas, J. Fernández-Sánchez, The geometry of  the Kimura 3-parameter model, Advances in Applied Mathematics 41 (2008), 265-292. 
• 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, Supplementary Material.  pdf
• M. Casanellas, Models algebraics en filogenètica, Butlletí de la Societat Catalana de Matemàtiques, 21 (2006), 213-228.
• M. Casanellas, S. Sullivant, The strand symmetric model, in "Algebraic statistics for computational biology", ed. L. Pachter and B. Sturmfels, Cambridge University Press 2005. pdf
  
• M. Casanellas, L. Garcia, S. Sullivant, Catalog of small trees, in "Algebraic statistics for computational biology", ed. L. Pachter and B. Sturmfels, Cambridge University Press 2005. pdf
• M. Casanellas, Genètica i geometria algebraica, Butlletí de la FME 2005, pdf.

• M. Casanellas, R. Hartshorne, Stable Ulrich bundles, International J. Mathematics, 23 (2012) 1250083-1250133, pdf.
• M. Casanellas, R. Hartshorne, ACM bundles on cubic surfaces, Journal of the European Mathematical Society 13 (2011), 709-731. pdf
• M. Casanellas, The minimal resolution conjecture for points on the cubic surface, Canadian Journal of Mathematics 61 (2009), 29-49.  pdf
• L. Bazzotti, M. Casanellas,  Separators of points on algebraic surfaces, J.  Pure and Appl. Alg 207 (2006), 319-326. pdf
  
• M. Casanellas, E. Drozd, R. Hartshorne, Gorenstein liaison and ACM sheaves,  J. für die reine und angewandte Mathematik 584 (2005), 149-171. pdf
• M. Casanellas, R. Hartshorne, Gorenstein biliaison and ACM sheaves, J. Algebra, 278 (2004), 314-341. pdf                      
• N. Budur, M. Casanellas, E. Gorla, Hilbert functions of irreducible arithmetically Gorenstein schemes, J. Algebra, 272 (2004), 292-310. pdf
• M. Casanellas, Uniqueness of varieties of minimal degree containing a given scheme, Trans. Amer. Math. Soc., 356 (2004), 1875-1888.   
• M. Casanellas, Gorenstein liaison of 0-dimensional schemes, Manuscripta Mathematica, 111 (2003), 265-275.   
• M. Casanellas, R.M. Miró-Roig, On the Lazarsfeld-Rao property for Gorenstein liaison classes, J.  Pure and Appl. Alg. 179 (2003), 7-12. 
• M. Casanellas, R.M. Miró-Roig, Gorenstein liaison and special linear configurations, Illinois J. Math. 46 (2002) 129-143.
• M. Casanellas, R.M. Miró-Roig, Gorenstein liaison of divisors on standard determinantal schemes and on rational normal scrolls, J.  Pure and Appl. Alg. 164 (2001), 325-343
• M. Casanellas, Glicci versus glicog, Rend. Sem. Mat. Torino 59 (2001), 127-129. 
• M. Casanellas, R.M. Miró-Roig, Gorenstein liaison of curves in P^4, J. Algebra 230 (2000), 656-664. pdf
• M. Casanellas, Characterization of non-connected Buchsbaum curves in P^n, Le Mathematiche, vol. LIV (1999), 187-195.

• Applications in Biology, Dynamics, and Statistics, Minneapolis, March 2007
• Projective Geometry and  Commutative Algebra in Applications, Genoa, June 2007
• Multivariate Interpolation -Its Relation To Algebraic Statistics, Classical Algebraic Geometry ... Sestri Levante, October 2007
• Seminario de geometría tórica IV, Jarandilla de la Vera, November 2007
• Future directions in phylogenetics methods and models, Cambridge, December 2007
• Colloquium at University College Cork, March 2008
• Tropical geometry course by Bernd Sturmfels, March 2008
• Robin Hartshorne's 70th birthday, Chicago, April 2008
• EACA 2008, Granada, September 2008
• GTM Seminar, Torino, September 2008
• Curso de Bioinformática Tropical, IMDEA, Madrid, Noviembre 2008
• Algebraic Statistics, MSRI Berkeley, December 2008
• MEGA 2009, Barcelona, June 15-19 2009.
• DIAMANT/EIDMA Symposium, Lunteren, November 26-27 2009.
• 1st Swedish-Catalan Conference in Mathematics, Barcelona, September 2010.
• EACA school, Tenerife, January 24-27, 2011, slides and exercises.
• Congreso Jóvenes Investigadores RSME, Soria, 5-9 September 2011
• 4th Iberian Mathematical Meeting, Valladolid, 5-9 October 2012.