Peter Gothen



Contact information

S-mail:
Departamento de Matemática
Faculdade de Ciências da Universidade do Porto
Rua do Campo Alegre, s/n
4169-007 Porto, Portugal

E-mail: pbgothen (at) fc.up.pt

Phone: +351 220 402 144


Publications

Preprints

  1. P. B. Gothen and A. Nozad, Quiver Bundles and Wall Crossing for Chains , arXiv:1709.09581 [math.AG].
  2. P. B. Gothen and A. Oliveira, Topological mirror symmetry for parabolic Higgs bundles, arXiv:1707.08536 [math.AG].
  3. O. Garcia-Prada, P. B. Gothen and I. Mundet i Riera, The Hitchin-Kobayashi correspondence, Higgs pairs and surface group representations, arXiv:0909.4487 [math.AG] (v3: 15 Aug 2012, significantly improved).

Monographs

  1. O. García-Prada, P. B. Gothen and V. Muñoz, Betti numbers of the moduli space of rank 3 parabolic Higgs bundles, Memoirs of the American Mathematical Society 187 (2007) no. 879, viii+80 pp. arXiv:math.AG/0411242.

Papers

  1. S. B. Bradlow, O. Garcia-Prada, P. B. Gothen and J. Heinloth, Irreducibility of moduli of semistable Chains and applications to U(p,q)-Higgs bundles, to appear in the proceedings for the conference Hitchin 70. arXiv:1703.06168 [math.AG].
  2. P. B. Gothen and R. A. Zúñiga-Rojas, Stratifications on the Moduli Space of Higgs Bundles, Portugaliae Mathematica, to appear. arXiv:1511.03985 [math.AG].
  3. P. B. Gothen and A. Nozad, Birationality of moduli spaces of twisted U(p,q)-Higgs bundles, Revista Matemática Complutense 30 (2017), 91-128. doi:10.1007/s13163-016-0207-0. arXiv:1602.02712 [math.AG].
  4. P. B. Gothen, Hitchin Pairs for non-compact real Lie groups, Travaux Mathématiques 24 (2016), 183-200, Special issue based on School GEOQUANT at the ICMAT Madrid, Spain, September 2015. arXiv:1607.08150 [math.AG].
  5. S. B. Bradlow, O. Garcia-Prada and P. B. Gothen, Higgs bundles for the non-compact dual of the special orthogonal group, Geometriae Dedicata 175 (2015), 1-48. doi:10.1007/s10711-014-0026-8. arXiv:1303.1058 [math.AG].
  6. P. B. Gothen, Representations of surface groups and Higgs bundles, Moduli Spaces, pp. 151-178. Brambila-Paz L, Newstead P, Thomas RPW, Garcia-Prada O, editors, London Mathematical Society Lecture Note Series (No. 411), Cambridge University Press 2014. (Lecture notes from my course at the Newton Institute Moduli Spaces Programme, arXiv:1209.0568 [math.AG]).
  7. S. B. S. D. Castro, S. Dakhlia and P. B. Gothen, From Singularity Theory to Finiteness of Walrasian Equilibria Mathematical Social Sciences 66 (2013), 169-175. doi:j.mathsocsci.2013.03.002. Preprint version available at SSRN: http://ssrn.com/abstract=1648426.
  8. O. Garcia-Prada, P. B. Gothen and I. Mundet i Riera, Higgs bundles and surface group representations in the real symplectic group, Journal of Topology 6 (2013), 64-118. doi: 10.1112/jtopol/jts030. arXiv:0809.0576 [math.AG].
  9. P. B. Gothen and A. Oliveira, The singular fibre of the Hitchin map, Int. Math. Res. Notices 2013 no. 5 (2013), 1079-1121 doi:10.1093/imrn/rns020. arXiv:1012.5541 [math.AG].
  10. S. B. Bradlow, O. Garcia-Prada and P. B. Gothen, Deformations of maximal representations in Sp(4,R), Q. J. Math. 63 (2012), 795-843. doi: 10.1093/qmath/har010. arXiv:0903.5496 [math.AG].
  11. P. B. Gothen, Higgs bundles and the real symplectic group, Proceedings of the XIX International Fall Workshop on Geometry and Physics, AIP Conf. Proc. 1360 (2011), 39-50. doi:10.1063/1.3599126. arXiv:1102.4175 [math.DG].
  12. P. B. Gothen and A. Oliveira, Rank two quadratic pairs and surface group representations , Geometriae Dedicata 161 (2012), 335-375. doi:10.1007/s10711-012-9709-1. arXiv:1106.1766 [math.AG].
  13. I. Biswas, P. B. Gothen and M. Logares, On moduli spaces of Hitchin pairs, Math. Proc. Cambridge Philos. Soc. 151 (2011), 441-457. doi:10.1017/S0305004111000405. arXiv:0912.4615 [math.AG].
  14. S. B. S. D. Castro, S. Dakhlia, and P. B. Gothen, Direct Perturbations of Aggregate Excess Demand, Journal of Mathematical Economics 46 (2010), 562-571. doi:10.1016/j.jmateco.2010.03.008. Preprint version available at SSRN: http://ssrn.com/abstract=1156098.
  15. S. B. Bradlow, O. Garcia-Prada and P. B. Gothen, Homotopy groups of moduli spaces of representations, Topology 47 (2008), 203-224. doi:10.1016/j.top.2007.06.001. arXiv:math.AG/0506444.
  16. S. B. Bradlow, O. García-Prada, and P. B. Gothen, What is a Higgs bundle?, Notices of the AMS 54, no. 8 (2007), 980-981.
  17. S. B. Bradlow, O. Garcia-Prada and P. B. Gothen, Maximal surface group representations in isometry groups of classical Hermitian symmetric spaces, Geometriae Dedicata 122 (2006), 185-213 (Oostende Special Issue). doi:10.1007/s10711-007-9127-y. arXiv:math.AG/0511415.
  18. P. B. Gothen and A. D. King, Homological algebra of twisted quiver bundles, J. London Math. Soc. 71 (2005), 85-99. doi:10.1112/S0024610704005952. arXiv:math.AG/0202033.
  19. S. B. Bradlow, O. Garcia-Prada and P. B. Gothen, Representations of surface groups in the general linear group, Proceedings of the XII Fall Workshop on Geometry and Physics, Coimbra 2003, Publicaciones de la RSME 7 (2004), 83-94. arXiv:math.AG/0401064.
  20. S. B. Bradlow, O. Garcia-Prada and P. B. Gothen, Moduli spaces of holomorphic triples over compact Riemann surfaces, Math. Ann. 328 (2004), 299-351. doi:10.1007/s00208-003-0484-z. arXiv:math.AG/0211428.
  21. S. B. Bradlow, O. Garcia-Prada and P. B. Gothen, Surface group representations and U(p,q)-Higgs bundles, J. Diff. Geom. 64 (2003), 111-170. arXiv:math.AG/0211431.
  22. P. B. Gothen, Topology of U(2,1) representation spaces, Bull. London Math. Soc. 34 (2002), 729-738. doi:10.1112/S0024609302001364. arXiv:math.AG/0012074.
  23. S. B. Bradlow, O. Garcia-Prada and P. B. Gothen, Representations of the fundamental group of a surface in PU(p,q) and holomorphic triples, C. R. Acad. Sci. Paris Sér. I Math. 333 (2001), 347-352. doi:10.1016/S0764-4442(01)02069-9. arXiv:math.AG/0107103.
  24. P. B. Gothen, Components of spaces of representations and stable triples, Topology 40 (2001), 823-850. doi:10.1016/S0040-9383(99)00086-5. arXiv:math.AG/9904114.
  25. P. B. Gothen, The Betti Numbers of the Moduli Space of Rank 3 Higgs Bundles, International Journal of Mathematics 5 (1994), 861-875. doi:10.1142/S0129167X94000449. Preprint version available in pdf, postscript and dvi formats.

Other Stuff


Networks and Projects


Seminars and Conferences


Photo

Hitchin, Higgs, Garcia-Prada and myself at Atiyah's 80th birthday conference, Edinburgh 22/04/2009:


Geometria Projetiva - EVMAT 2016

Curso de Geometria Projetiva da Escola de Verão de Matemática de 2016:


Last modified: Fri Sep 29 08:42:24 WEST 2017