Math @ Duke
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Papers Published
- Deng, H; Robles, C, Completion of two-parameter period maps by nilpotent orbits
(December, 2023) [abs]
- Robles, C, Pseudoconvexity at infinity in Hodge theory: a codimension one example
(February, 2023) [abs]
- Robles, C, Extension of Hodge norms at infinity
(February, 2023) [abs]
- 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 [doi] [abs]
- Green, M; Griffiths, P; Robles, C, Natural line bundles on completions of period mappings
(February, 2021) [abs]
- Han, X; Robles, C, Hodge Representations, edited by Clingher, A,
Experimental Results, vol. 1
(November, 2020), Cambridge University Press (CUP) [doi] [abs]
- Green, M; Griffiths, P; Robles, C, The global asymptotic structure of period mappings
(October, 2020) [abs]
- Green, M; Kim, Y-J; Laza, R; Robles, C, The LLV decomposition of hyper-Kaehler cohomology
(June, 2019) [abs]
- Kerr, M; Pearlstein, GJ; Robles, C, Polarized relations on horizontal SL(2)'s,
Documenta Mathematica, vol. 24
(January, 2019),
pp. 1295-1360 [doi] [abs]
- 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 [doi] [abs]
- Green, M; Griffiths, P; Laza, R; Robles, C, Period mappings and properties of the augmented Hodge line bundle
(August, 2017) [abs]
- 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 [doi] [abs]
- 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 [doi] [abs]
- Robles, C, Degenerations of Hodge structure,
Proceedings of Symposia in Pure Mathematics, vol. 95
(January, 2017),
pp. 267-283 [doi] [abs]
- Robles, C, Classification of horizontal SL(2)s,
Compositio Mathematica, vol. 152 no. 5
(May, 2016),
pp. 918-954, Oxford University Press (OUP) [doi] [abs]
- Brosnan, P; Pearlstein, G; Robles, C, Nilpotent cones and their representation theory
(January, 2016) [abs]
- 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 [arXiv:1310.8154], [doi] [abs]
- Robles, C, Nilpotent cones and adjoint orbits
(May, 2014) [abs]
- 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 [doi] [abs]
- 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) [arXiv:1403.0646] [abs]
- 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 [doi] [abs]
- 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 [doi] [abs]
- Robles, C, Principal Hodge representations
(2014),
pp. 259-283, American Mathematical Society [doi]
- 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 [doi] [abs]
- 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 [doi] [abs]
- 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 [doi] [abs]
- 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) [doi] [abs]
- 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 [doi] [abs]
- Robles, C, Parallel calibrations and minimal submanifolds,
Illinois Journal of Mathematics, vol. 56 no. 2
(January, 2012),
pp. 383-395, ISSN 0019-2082 [doi] [abs]
- 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 [doi] [abs]
- 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 [doi] [abs]
- 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 [doi] [abs]
- 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 [doi] [abs]
- 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 [doi] [abs]
- Landsberg, JM; Robles, C, Lines on hypersurfaces
(May, 2008) [abs]
- 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 [doi] [abs]
- 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
- 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 [doi] [abs]
- 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 [doi] [abs]
Papers Accepted
- Colleen Robles, Classification of horizontal SL(2)s,
Compositio Math.
(2015) [arXiv:1405.3163]
Papers Submitted
- M. Kerr, C. Robles, Hodge theory and real orbits in flag varieties
(2015) [arXiv:1407.4507]
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Mathematics Department
Duke University, Box 90320
Durham, NC 27708-0320
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