Colleen M Robles, Professor

I am a geometer.  My current research addresses the complex geometry of period maps, and related questions that are Hodge theory and its applications to moduli of algebraic varieties.  I have also made contributions to the fields of Finsler geometry, calibrated geometry, and complex projective geometry.  I have a side interest in the formalization of mathematics via automated theorem-provers and proof-assistants (such as Lean).

Contact Info:

Office Location:	187 Physics
Email Address:
Web Page:	https://sites.google.com/view/prof-colleen-robles/introduction

Teaching (Spring 2026):

• MATH 633.01, COMPLEX ANALYSIS Synopsis

  SEE INSTRU , TuTh 03:05 PM-04:20 PM

Office Hours:

Spring 2024: Tue + Thu, 1:00 - 2:30 PM

Education:

Ph.D.

University of British Columbia (Canada)

2003

Recent Publications   (More Publications)

1. Deng, H; Robles, C, Completion of two-parameter period maps by nilpotent orbits (December, 2023)  [abs]
2. Robles, C, Pseudoconvexity at infinity in Hodge theory: a codimension one example (February, 2023)  [abs]
3. Robles, C, Extension of Hodge norms at infinity (February, 2023)  [abs]
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 [doi]  [abs]
5. Green, M; Griffiths, P; Robles, C, Natural line bundles on completions of period mappings (February, 2021)  [abs]

Recent Grant Support

• RTG: Linked via L-functions: training versatile researchers across number theory, National Science Foundation, 2023/10-2028/09.      
• Complex Geometric Properties of Period Maps, National Science Foundation, 2023/08-2026/07.      
• Complex Geometric and Lie Theoretic Aspects of Hodge Theory, National Science Foundation, 2019/09-2023/08.