- Geometry and topology, 4th year optative subject UAM.
Programme can be found
Notes for the subject in this

- Algebraic geometry, JAE School of Mathematics.
- Geometry of curves and surfaces, UAM.
- Algebraic Topology, an ICMAT course for Ph.D students in Physics.

- Morse theory: an introduction, JAE School of Mathematics.
- Linear algebra and Geometry, UAM.
1.- Betti numbers of parabolic U(2,1)-Higgs bundles moduli spaces, Geom. Dedicata 123 (2006) 187-200.
2.- Moduli spaces of parabolic U(p,q)-Higgs bundles, (with O. García-Prada and V. Muñoz) Quart. J. Math. 60 (2009) 183-233.
3.- Torelli theorem for the Deligne-Hitchin moduli space, (with I. Biswas, T. Gómez and N. Hoffmann), Commun. Math. Phys. 290 (2009) 357-369.
4.- Torelli theorem for the moduli space of parabolic Higgs bundles, (with T. Gómez), Adv. Geom. 11, Issue 3, (2011) 429-444.
5.- Moduli of parabolic Higgs bundles and Atiyah algebroids, (with J. Martens), Crelle's Journal 649, (2010) 89-116.
6.- Connection on parabolic vector bundles over curves, (with I. Biswas), Int. J. Math. 22, Issue 4, (2011) 593-602.
7.- Brauer group of moduli spaces of pairs, (with I. Biswas and V. Muñoz), Comm. Alg.
8.- Rationality of the moduli space of pairs over a curve, (with I. Biswas and V. Muñoz) vol. Non-linear analysis: stability, Approximation and Inequalities in honour of Th. M. Rassias in his 60th birthday.
9.- On the moduli space of Hitchin pairs, (with I. Biswas and P. Gothen), Math. Proc. Cam. Phil. Soc. 151, Issue 03, (2011) 441-457.
10.- Hodge polynomials of SL(2,C)-character varieties of surfaces of low genus, (with V. Muñoz and P. Newstead) to appear in Rev. Math. Complutense.
11.- The topology of parabolic character varieties of free groups, (with I. Biswas, C. Florentino and S. Lawton) to appear in Geom. Dedicata.
Made on an iPad
Marina Logares

I am a JAE postdoctoral fellow at ICMAT (Madrid) and also I am an Honorary Professor at Departamento de Matemáticas of UAM.
My research focuses on moduli spaces of parabolic Higgs bundles. Those are rich geometric objects appearing in many branches of geometry, in representation theory and physics.
My curriculum vitae can be downloaded
My work
Other stuff
1.- Parabolic U(p,q)-Higgs bundles, Ph.D. Thesis, UAM, 2006.
2.- Introduction to the theory of representation of $\pi_1 (M)$ into a Lie group G. This is one of the two essays needed for fulfill the requisites for the "Diploma de Estudios Avanzados" (DEA) presented at UAM in 2002.
3.- Morse-Bott theory. This is the second work needed for fulfill the requisites for the "Diploma de Estudios Avanzados" (DEA) presented at UAM in 2002.
Video talks
- Talk at Newton Institute (Cambridge)
3rd February 2011.
- Talk at Newton Institute (Cambridge)
30th June 2011.