# Colleen M Robles

- Associate Professor of Mathematics
- Director of Graduate Studies in the Department of Mathematics

**Internal office address:**Physics Building, Room 023, 120 Science Drive, Durham, NC 27708

**Office Hours:**

##### Links

### Research Areas and Keywords

##### Geometry: Differential & Algebraic

Differential Geometry, Geometric PDE, Hodge theory

### Selected Grants

Complex Geometric and Lie Theoretic Aspects of Hodge Theory awarded by National Science Foundation (Principal Investigator). 2019 to 2023

Complex Geometric and Lie Theoretic Aspects of Hodge Theory awarded by National Science Foundation (Principal Investigator). 2016 to 2020

FRG: Collaborative Hodge Theory and Representation Theory awarded by Texas A&M University (Principal Investigator). 2015 to 2017

Hodge Theory and Representation Theory awarded by National Science Foundation (Principal Investigator). 2015 to 2016

Kerr, M., et al. “Polarized relations on horizontal SL(2)'s.” *Documenta Mathematica*, vol. 24, Jan. 2019, pp. 1295–360. *Scopus*, doi:10.25537/dm.2019v24.1295-1360.
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Robles, C. “Characterization of Calabi–Yau variations of Hodge structure over tube domains by characteristic forms.” *Mathematische Annalen*, vol. 371, no. 3–4, Aug. 2018, pp. 1229–53. *Scopus*, doi:10.1007/s00208-017-1594-3.
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Kerr, M., and C. Robles. “Variations of Hodge structure and orbits in flag varieties.” *Advances in Mathematics*, vol. 315, July 2017, pp. 27–87. *Scopus*, doi:10.1016/j.aim.2017.05.013.
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Kerr, M., and C. Robles. “Classification of smooth horizontal Schubert varieties.” *European Journal of Mathematics*, vol. 3, no. 2, June 2017, pp. 289–310. *Scopus*, doi:10.1007/s40879-017-0140-x.
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Robles, C. “Degenerations of Hodge structure.” *Proceedings of Symposia in Pure Mathematics*, vol. 95, Jan. 2017, pp. 267–83. *Scopus*, doi:10.1090/pspum/095/01627.
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Robles, C. “Classification of horizontal SL(2)s.” *Compositio Mathematica*, vol. 152, no. 5, May 2016, pp. 918–54. *Scopus*, doi:10.1112/S0010437X15007691.
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Robles, C. “Characteristic cohomology of the infinitesimal period relation.” *Asian Journal of Mathematics*, vol. 20, no. 4, Jan. 2016, pp. 725–58. *Scopus*, doi:10.4310/AJM.2016.v20.n4.a7.
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Robles, C. “Singular loci of cominuscule Schubert varieties.” *Journal of Pure and Applied Algebra*, vol. 218, no. 4, Apr. 2014, pp. 745–59. *Scopus*, doi:10.1016/j.jpaa.2013.08.014.
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Robles, C. *Principal Hodge representations*. American Mathematical Society, 2014, pp. 259–83. *Crossref*, doi:10.1090/conm/608/12183.
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Robles, C. “Schubert varieties as variations of Hodge structure.” *Selecta Mathematica, New Series*, vol. 20, no. 3, Jan. 2014, pp. 719–68. *Scopus*, doi:10.1007/s00029-014-0148-8.
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## Pages

Colleen Robles received her PhD. from the University of British Columbia in 2003 under the supervision of David Bao (University of Houston) and Richard Froese. Following a post-doctoral position at the University of Rochester, she joined Texas A... read more »