Dr Marina Logares
Profiles

Dr Marina Logares

Lecturer in Pure Mathematics

School of Computing, Electronics and Mathematics (Faculty of Science & Engineering)

Qualifications

2014 Teaching habilitation as Lecturer by ANECA (Spanish national agency for quality of teaching in HE)

2006 Ph.D. in Mathematics, Universidad Autónoma de Madrid

Employment History

2017 -           Lecturer in Pure Mathematics, University of Plymouth, UK
2016 - 2017  Marie Curie research fellow, University of Oxford, UK
2014 - 2016  Severo Ochoa Postdoctoral Fellow, ICMAT (CSIC) Madrid, Spain
2010 - 2014  Honorary Professor, Universidad Autónoma de Madrid, Spain
2011 - 2014  JAE-Doc Postdoctoal Fellow, ICMAT (CSIC) Madrid, Spain 
2010 - 2011   i-Math Postdoctoral Fellow, ICMAT (CSIC) Madrid, Spain
2007 - 2010  FCT Postdoctoral Fellow, CMUP, Faculdade de Ciencias do Porto, Portugal
2006 - 2007  Max Planck Institute for Mathematics, Bonn, Germany

Teaching interests

MATH057: Data Mining and Algorithms

MATH3609: Optimisation Networks and Graphs

Research interests

Moduli spaces in Geometry and Physics. 


Member of the Plymouth  Center of Mathematical Sciences

Research degrees awarded to supervised students

Ph.D. Angel González Prieto, Universidad Complutense de Madrid (started 2015)
MSc. Angel González Prieto, "Deligne-Hodge polynomials of character varieties of doubly periodic instantons", Universidad Autónoma de Madrid (2015)
MSc. Samuel Ranz, "Geometric Invariant Theory and Symplectic Quotients", Universidad Autónoma de Madrid (2016)

Undergraduate final degree projects:
Angel Gaonzález Prieto, "On the h-cobordism" (2014)
Victoria Arribas, "Homogeneus spaces" (2013)
Ivan Rasskin, "Total curvature of curves and knots, introduction to knot theory" (2013) 

Publications

Higlighted with ∗ my selected five publications.Peer-reviewed journals

  1. ∗ Integrable systems and Torelli theorems for the moduli spaces of parabolic bundles and parabolicHiggs bundles, (with I.Biswas and T. Gómez), accepted in Canad. J. Math. http://dx.doi.org/10.4153/CJM-2015-039-5

  2. ∗ Bohr–Sommerfeld Lagrangians of moduli spaces of Higgs bundles, (with I. Biswas and N.L. Gam-melgaard), J. Geom. Phys. 94, (2015), 179–184.

  3. Hodge polynomials of the SL(2,C)-character variety of an elliptic curve with two marked points (withV. Mun ̃oz), Int. J. Math. 25, No. 14, (2014) 1450–125.

  4. The topology of parabolic character varieties of free groups, (with I. Biswas, C. Florentino and S. Law-ton), Geom. Dedicata Vol. 168, Issue 1, (2014) 143–159.

  5. ∗ Hodge polynomials of SL(2,C)-character varieties of surfaces of low genus, (with V. Muñoz and P.Newstead), Revista Mat. Complutense, 26 (2013) 635–703.

  6. On the moduli space of Hitchin pairs, (with I. Biswas and P.B. Gothen), Math. Proc. Cam. Phil. Soc.151, Issue 03 (2011) 441–457.

  7. Brauer group of moduli spaces of pairs, (with I. Biswas and V. Muñoz), Comm. Alg. 40 Issue 5 (2011)1605–1617.

  8. Connection on parabolic vector bundles over curves, (with I. Biswas), Int. J. Math. 22, Issue 4 (2011)593–602.

  9. Torelli theorem for the moduli space of parabolic Higgs bundles, (with T. Gómez), Adv. Geom. 11,Issue 3, (2011) 429-444.

  10. ∗ Moduli of parabolic Higgs bundles and Atiyah algebroids, (with J. Martens), J. Reine Angew. Math.649, (2010), 89–116.

  11. ∗ Torelli theorem for the Deligne-Hitchin moduli space, (with I. Biswas, T. Go ́mez and N. Hoffmann),Commun. Math. Phys. 290 (2009) 357–369.

  12. Moduli spaces of parabolic U(p, q)-Higgs bundles, (with O. Garca-Prada, V. Muñoz), Quart. J. Math.60 (2009) 183–233.

  13. Betti numbers of parabolic U(2, 1)-Higgs bundles moduli spaces, Geom. Dedicata 123 (2006) 187-200.

Peer-reviewed Conference Proceedings

14. Rationality of the moduli space of pairs over a curve, (with I. Biswas and V. Mun ̃oz), Non-linear anal-ysis: Stability, Approximation and Inequalities In honor of Th.M.Rassias in his 60th birthday, SpringerOptimization and Its Applications, Vol. 68, (Eds.) Pardalos, Panos M.; Georgiev, Pando G.; Srivastava,Hari M. (2012) ISBN 978-1-4614-3497-9.

Scientific Dissemination

15. Book Review for the EMS Newsletter “Donaldson Type Invariants for Algebraic Surfaces, Transitionson Moduli Stacks, by Takuro Mochizuki. LNM1972 Springer”, no.91 March 2014, European Mathe-matical Society, 57–58.