Colleen M Robles
Associate Professor in the Department of Mathematics
Office Hours
Current Appointments & Affiliations
 Associate Professor in the Department of Mathematics, Mathematics, Trinity College of Arts & Sciences 2015
Contact Information
 187 Physics Building, 120 Science Drive, Durham, NC 27708
 robles@math.duke.edu
 Webpage
 Background

Education, Training, & Certifications
 Ph.D., University of British Columbia 2003
 Research

Selected Grants
 Complex Geometric and Lie Theoretic Aspects of Hodge Theory awarded by National Science Foundation 2016  2019
 FRG: Collaborative Hodge Theory and Representation Theory awarded by Texas A&M University 2015  2017
 Hodge Theory and Representation Theory awarded by National Science Foundation 2015  2016
 Publications & Artistic Works

Selected Publications

Journal Articles
 Kerr, M, and Robles, C. "Variations of Hodge structure and orbits in flag varieties." Advances in Mathematics 315 (July 2017): 2787. Full Text
 Kerr, M, and Robles, C. "Classification of smooth horizontal Schubert varieties." European Journal of Mathematics 3, no. 2 (June 2017): 289310. Full Text
 Robles, C. "Classification of horizontal s." Compositio Mathematica 152, no. 05 (May 2016): 918954. Full Text
 Robles, C. "Characteristic cohomology of the infinitesimal period relation." Asian Journal of Mathematics 20, no. 4 (2016): 725758. Full Text
 Robles, C. "Schubert varieties as variations of Hodge structure." Selecta Mathematica 20, no. 3 (July 2014): 719768. Full Text
 Robles, C. "Singular loci of cominuscule Schubert varieties." Journal of Pure and Applied Algebra 218, no. 4 (April 2014): 745759. Full Text
 Coskun, I, and Robles, C. "Flexibility of Schubert classes." Differential Geometry and its Applications 31, no. 6 (December 2013): 759774. Full Text
 Hammond, C, and Robles, C. "Projective invariants of CRhypersurfaces." Complex Variables and Elliptic Equations 58, no. 11 (November 2013): 14931516. Full Text
 Landsberg, JM, and Robles, C. "Fubini–Griffiths–Harris Rigidity of Homogeneous Varieties." International Mathematics Research Notices 2013, no. 7 (2013): 16431664. Full Text
 Robles, C. "Schur flexibility of cominuscule Schubert varieties." Communications in Analysis and Geometry 21, no. 5 (2013): 9791013. Full Text
 Robles, C. "Parallel calibrations and minimal submanifolds." Illinois Journal of Mathematics 56, no. 2 (December 1, 2012): 383395.
 Robles, C, and The, D. "Rigid Schubert varieties in compact Hermitian symmetric spaces." Selecta Mathematica 18, no. 3 (September 2012): 717777. Full Text
 Landsberg, JM, and Robles, C. "FubiniGriffithsHarris rigidity and Lie algebra cohomology." Asian Journal of Mathematics 16, no. 4 (2012): 561586. Full Text
 Landsberg, JM, and Robles, C. "Lines and osculating lines of hypersurfaces." Journal of the London Mathematical Society 82, no. 3 (December 2010): 733746. Full Text
 Landsberg, JM, and Robles, C. "Fubini's theorem in codimension two." Journal für die reine und angewandte Mathematik (Crelles Journal) 2009, no. 631 (January 2009). Full Text
 Robles, C, and Salur, S. "Calibrated Associative and Cayley Embeddings." Asian Journal of Mathematics 13, no. 3 (2009): 287306. Full Text
 Robles, C. "The adjoint variety of SLm+1C is rigid to order three." Differential Geometry and its Applications 26, no. 6 (December 2008): 683696. Full Text
 Robles, C. "Geodesics in Randers spaces of constant curvature." TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY 359, no. 4 (2007): 16331651. Link to Item
 Robles, C. "Geodesics in Randers spaces of constant curvature." Transactions of the American Mathematical Society 359, no. 04 (October 16, 2006): 16331652. Full Text
 Bao, D, Robles, C, and Shen, Z. "Zermelo navigation on Riemannian manifolds." Journal of Differential Geometry 66, no. 3 (March 2004): 377435. Full Text
 Bao, D, and Robles, C. "On Randers spaces of constant flag curvature." Reports on Mathematical Physics 51, no. 1 (February 2003): 942. Full Text
 Brosnan, P, Pearlstein, G, and Robles, C. "Nilpotent cones and their representation theory." Link to Item
 Green, M, Griffiths, P, Laza, R, and Robles, C. "Completion of Period Mappings and Ampleness of the Hodge bundle." Link to Item
 Green, M, Griffiths, P, and Robles, C. "Extremal degenerations of polarized Hodge structures." Link to Item
 Griffiths, P, Robles, C, and Toledo, D. "Quotients of nonclassical flag domains are not algebraic." Link to Item
 Kerr, M, Pearlstein, G, and Robles, C. "Polarized relations on horizontal SL(2)s." Link to Item
 Landsberg, JM, and Robles, C. "Lines on hypersurfaces." Link to Item
 Robles, C. "Principal Hodge representations." Link to Item
 Robles, C. "Nilpotent cones and adjoint orbits." Link to Item
 Robles, C. "Degenerations of Hodge structure." Link to Item
 Robles, C. "Characterization of Calabi–Yau variations of Hodge structure over tube domains by characteristic forms (Published online)." Mathematische Annalen . Full Text

 Teaching & Mentoring

Recent Courses
 Scholarly, Clinical, & Service Activities

Presentations & Appearances
 Generalizing the SatakeBailyBorel compactification. Polish Academy of Science, Institute of Mathematics. November 2017 2017
 Generalizing the SatakeBaileyBorel compactification. Department Colloquium. Brandeis U. October 2017 2017
 Generalizing the SatakeBaillyBorel compactification. Second Mathematical Congress of the Americas. July 2017 2017
 Hodge Theory and Representation Theory. Mathematics Seminar. KIAS. May 2017 2017
 Generalizing the SatakeBailyBorel compactification. Algebraic Geometry Seminar. U of Utah. April 2017 2017
 Generalizing the SatakeBaileyBorel compactification. Workshop on Algebraic Varieties. Fields Institute. March 2017 2017
 Characterization of Gross's CYVHS by characteristic forms. Lie Theory Workshop. UC Berkeley. February 2017 2017
 Characterization of Gross's CYVHS over tube domains. Geometry Seminar. Johannes Gutenberg Universität. December 2016 2016
 Characterization of Gross's CYVHS over tube domains by characteristic forms. Algebraic Geometry Seminar. Purdue U. November 2016 2016
 Characterization of Gross's canonical CYVHS over tube domains by characteristic forms. Algebraic Geometry Northeastern Series. November 2016 2016
 Characterization of Gross's canonical CYVHS over tube domains by characteristic forms. Algebraic Geometry Seminar. UC San Diego. October 2016 2016
 Characterization of Gross's canonical CYVHS over tube domains by characteristic forms. Geometry Seminar. NC State U. September 2016 2016
 Differential Invariants of Curves. Smath Conference. Smith College. September 2016 2016
 Degenerations of Hodge structures. Algebraic Cycles and Moduli. Centre de Recherches Mathématiques. June 2016 2016
 Degenerations of Hodge structures. Algebraic Geometry Seminar. Standford U. May 2016 2016
 Role of representation theory in Hodge theory. Korea Institute for Advanced Study. April 2016 2016
 Analog of the SatakeBailyBorel compactification for period domains. Focused Research Group on Hodge Theory, Moduli and Representation Theory: Workshop VI. Simons Center for Geometry and Physics. March 2016 2016
 Degenerations of Hodge structures. Geometry Seminar. U Miami. March 2016 2016
 Degenerations of Hodge structure. Department Colloquium. Washington U in St. Louis. January 2016 2016
 Horizontal Schubert Varieties. Geometric Methods in Representation Theory Seminar. U North Carolina. October 2015 2015
 Nilpotent orbits in Hodge theory. Algebraic Geometry Summer Research Institute Bootcamp. July 2015 2015

Service to the Profession
 coorganizer. Hodge Theory, Moduli and Representation Theory. Simons Center for Geometry and Physics. August 2017 2017
 coorganizer. Hodge Theory, Moduli and Representation Theory. Simons Center for Geometry and Physics. August 2017 2017
 coorganizer. Flag Domains and Cycle Spaces. Korea Institute for Advanced Study. May 2017 2017
 coorganizer. Flag Domains and Cycles Spaces. Korea Institute for Advanced Study. May 2017 2017
 Editor. Differential Geometry and its Applications. April 2017 2017
 coorganizer. Workshop on Algebraic Varieties. Fields Institute. March 2017 2017
 coorganizer. Algebraic Cycles and Moduli. Centre de Recherches Mathématiques. June 2016 2016
 coorganizer. Women in Geometry. Banff International Research Station. November 2015 2015

Service to Duke
 Lecturer. Summer Workshop in Mathematics. Mathematics Department, Duke. June 2017 2017
 Duke. Graduate Student Selection Committee for the 2018 Deans Awards for Excellence in Mentoring. 2017 2017
 Mathematics Department Faculty Champion for the Sloan Foundation funded University Center for Exemplary Mentoring. UCEM. Duke. 2017 2017
 Mathematics. Duke Mathematical Sciences Sabbatical Fellows Committee. 2017 2017
 SPIRE Fellows Advisory Board. Duke. 2017 2017
 Gergen Speaker Selection Committee. 2016  2018 2016  2018
 Mathematics. Graduate Admissions Committee. 2016  2018 2016  2018
 Organizer. Women In Math Lunches. Mathematics Department, Duke. 2016 2016
Some information on this profile has been compiled automatically from Duke databases and external sources. (Our About page explains how this works.) If you see a problem with the information, please write to Scholars@Duke and let us know. We will reply promptly.