Publications

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.
Marina Logares

2012-2013

2011-2012

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.