Welcome
to the webpage of
Marta Casanellas Rius
Address
Docència
Research
Contact address:
Dpt.
Matemàtica Aplicada I
ETSEIB. UPC
Avda.
Diagonal 647
08028-Barcelona.
Spain.
Tel. +34
934015887. Fax: 0034 934011713.
email address:
marta.casanellas
upc.edu
Actual position: "Agregate" professor
at Departament Matematica
Aplicada I,
Universitat Politècnica de
Catalunya.
Former
positions:
Degree in
Mathematics, Universitat
de Barcelona, 1997.
Ph.
D. Thesis: Liaison theory in
arbitrary
codimension. Tutor: Rosa M. Miró-Roig, 2002.
Research
topics:
Research
papers:
Algebraic
statistics for computational biology:
- M. Casanellas, A. Kedzierska, Generating Markov evolutionary matrices for a given branch length, arxiv:1112.3529 2011.
- M. Casanellas, J. Fernández-Sánchez, A. Kedzierska, The space of phylogenetic mixtures of equivariant models, arXiv:1110.0920, 2011.
- 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 filogenètica usando geometría algebraica, Arbor CLXXXXVI 746 (2010), 1023-1033.
- 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.
Algebraic geometry:
- M. Casanellas, R. Hartshorne, Stable Ulrich bundles, arXiv:1102.0878
- 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.
Recent and forthcoming conferences:
- Applications in Biology, Dynamics, and Statistics, Minneapolis, March 2007
- Projective Geometry and Commutative
Algebra in Applications, Genoa, June 2007
- Colloquium at University College Cork, March 2008
- Tropical geometry course by Bernd Sturmfels, March 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.
News:
SIAM News July/August 2007 issue: "Algebraic Geometers See Ideal Approach to Biology", pdf.
Darrera actualització: Octubre 2011.