Publications of Colleen M Robles

Papers Published

  1. Deng, H; Robles, C, Completion of two-parameter period maps by nilpotent orbits (December, 2023)
  2. Robles, C, Pseudoconvexity at infinity in Hodge theory: a codimension one example (February, 2023)
  3. Robles, C, Extension of Hodge norms at infinity (February, 2023)
  4. Green, M; Kim, YJ; Laza, R; Robles, C, The LLV decomposition of hyper-Kähler cohomology (the known cases and the general conjectural behavior), Mathematische Annalen, vol. 382 no. 3-4 (April, 2022), pp. 1517-1590
  5. Green, M; Griffiths, P; Robles, C, Natural line bundles on completions of period mappings (February, 2021)
  6. Han, X; Robles, C, Hodge Representations, edited by Clingher, A, Experimental Results, vol. 1 (November, 2020), Cambridge University Press (CUP)
  7. Green, M; Griffiths, P; Robles, C, The global asymptotic structure of period mappings (October, 2020)
  8. Green, M; Kim, Y-J; Laza, R; Robles, C, The LLV decomposition of hyper-Kaehler cohomology (June, 2019)
  9. Kerr, M; Pearlstein, GJ; Robles, C, Polarized relations on horizontal SL(2)'s, Documenta Mathematica, vol. 24 (January, 2019), pp. 1295-1360
  10. Robles, C, Characterization of Calabi–Yau variations of Hodge structure over tube domains by characteristic forms, Mathematische Annalen, vol. 371 no. 3-4 (August, 2018), pp. 1229-1253, Springer Nature
  11. Green, M; Griffiths, P; Laza, R; Robles, C, Period mappings and properties of the augmented Hodge line bundle (August, 2017)
  12. Kerr, M; Robles, C, Variations of Hodge structure and orbits in flag varieties, Advances in Mathematics, vol. 315 (July, 2017), pp. 27-87, Elsevier BV
  13. Kerr, M; Robles, C, Classification of smooth horizontal Schubert varieties, European Journal of Mathematics, vol. 3 no. 2 (June, 2017), pp. 289-310, Springer Nature
  14. Robles, C, Degenerations of Hodge structure, Proceedings of Symposia in Pure Mathematics, vol. 95 (January, 2017), pp. 267-283
  15. Robles, C, Classification of horizontal SL(2)s, Compositio Mathematica, vol. 152 no. 5 (May, 2016), pp. 918-954, Oxford University Press (OUP)
  16. Brosnan, P; Pearlstein, G; Robles, C, Nilpotent cones and their representation theory (January, 2016)
  17. Robles, C, Characteristic cohomology of the infinitesimal period relation, Asian Journal of Mathematics, vol. 20 no. 4 (January, 2016), pp. 725-758, International Press of Boston
  18. Robles, C, Nilpotent cones and adjoint orbits (May, 2014)
  19. Robles, C, Singular loci of cominuscule Schubert varieties, Journal of Pure and Applied Algebra, vol. 218 no. 4 (April, 2014), pp. 745-759, Elsevier BV, ISSN 0022-4049
  20. Green, M; Griffiths, P; Robles, C, Extremal degenerations of polarized Hodge structures, in Proceedings of Hodge Theory and L2-Cohomology, Johns Hopkins U (March, 2014)
  21. Robles, C, Schubert varieties as variations of Hodge structure, Selecta Mathematica, New Series, vol. 20 no. 3 (January, 2014), pp. 719-768, Springer Nature, ISSN 1022-1824
  22. Griffths, P; Robles, C; Toledo, D, Quotients of non-classical flag domains are not algebraic, Algebraic Geometry, vol. 1 no. 1 (January, 2014), pp. 1-13, Foundation Compositio Mathematica
  23. Robles, C, Principal Hodge representations (2014), pp. 259-283, American Mathematical Society
  24. Robles, C, Schur flexibility of cominuscule Schubert varieties, Communications in Analysis and Geometry, vol. 21 no. 5 (December, 2013), pp. 979-1013, International Press of Boston, ISSN 1019-8385
  25. Coskun, I; Robles, C, Flexibility of Schubert classes, Differential Geometry and its Application, vol. 31 no. 6 (December, 2013), pp. 759-774, Elsevier BV, ISSN 0926-2245
  26. Hammond, C; Robles, C, Projective invariants of CR-hypersurfaces, Complex Variables and Elliptic Equations, vol. 58 no. 11 (November, 2013), pp. 1493-1516, Informa UK Limited, ISSN 1747-6933
  27. Landsberg, JM; Robles, C, Fubini-griffiths-harris rigidity of homogeneous varieties, International Mathematics Research Notices, vol. 2013 no. 7 (January, 2013), pp. 1643-1664, Oxford University Press (OUP)
  28. Robles, C; The, D, Rigid Schubert varieties in compact Hermitian symmetric spaces, Selecta Mathematica, New Series, vol. 18 no. 3 (August, 2012), pp. 717-777, Springer Nature, ISSN 1022-1824
  29. Robles, C, Parallel calibrations and minimal submanifolds, Illinois Journal of Mathematics, vol. 56 no. 2 (January, 2012), pp. 383-395, ISSN 0019-2082
  30. Landsberg, JM; Robles, C, Fubini-Griffiths-Harris rigidity and lie algebra cohomology, Asian Journal of Mathematics, vol. 16 no. 4 (January, 2012), pp. 561-586, International Press of Boston, ISSN 1093-6106
  31. Landsberg, JM; Robles, C, Lines and osculating lines of hypersurfaces, Journal of the London Mathematical Society, vol. 82 no. 3 (January, 2010), pp. 733-746, Oxford University Press (OUP), ISSN 0024-6107
  32. Landsberg, JM; Robles, C, Fubini's theorem in codimension two, Journal fur die Reine und Angewandte Mathematik, vol. 2009 no. 631 (June, 2009), pp. 221-235, WALTER DE GRUYTER GMBH, ISSN 0075-4102
  33. Robles, C; Salur, S, Calibrated associative and Cayley embeddings, Asian Journal of Mathematics, vol. 13 no. 3 (January, 2009), pp. 287-306, International Press of Boston, ISSN 1093-6106
  34. Robles, C, The adjoint variety of SLm + 1 C is rigid to order three, Differential Geometry and its Application, vol. 26 no. 6 (December, 2008), pp. 683-696, Elsevier BV, ISSN 0926-2245
  35. Landsberg, JM; Robles, C, Lines on hypersurfaces (May, 2008)
  36. Robles, C, Geodesics in randers spaces of constant curvature, Transactions of the American Mathematical Society, vol. 359 no. 4 (April, 2007), pp. 1633-1651, American Mathematical Society (AMS), ISSN 0002-9947
  37. Robles, C, Geodesics in Randers spaces of constant curvature, TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, vol. 359 no. 4 (January, 2007), pp. 1633-1651, AMER MATHEMATICAL SOC
  38. Bao, D; Robles, C; Shen, Z, Zermelo navigation on riemannian manifolds, Journal of Differential Geometry, vol. 66 no. 3 (January, 2004), pp. 377-435, International Press of Boston, ISSN 0022-040X
  39. Bao, D; Robles, C, On Randers spaces of constant flag curvature, Reports on Mathematical Physics, vol. 51 no. 1 (January, 2003), pp. 9-42, Elsevier BV, ISSN 0034-4877

Papers Accepted

  1. Colleen Robles, Classification of horizontal SL(2)s, Compositio Math. (2015)

Papers Submitted

  1. M. Kerr, C. Robles, Hodge theory and real orbits in flag varieties (2015)