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 (Fall 2026):

• MATH 221D.005, LINEAR ALGEBRA Synopsis

  Gross Hall 304B, MW 01:25 PM-02:40 PM

• MATH 221D.006, LINEAR ALGEBRA Synopsis

  Gross Hall 304B, MW 04:40 PM-05:55 PM

• MATH 721D.005, LINEAR ALGEBRA & APPLICA Synopsis

  Gross Hall 304B, MW 01:25 PM-02:40 PM

• MATH 721D.006, LINEAR ALGEBRA & APPLICA Synopsis

  Gross Hall 304B, MW 04:40 PM-05:55 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. Green, M; Griffiths, P; Robles, C, Analog of Satake–Baily–Borel for period maps, European Journal of Mathematics, vol. 12 no. 3 (September, 2026) [doi]  [abs]
2. Green, M; Griffiths, P; Robles, C, Period maps at infinity (September, 2025)
3. Deng, H; Robles, C, Completion of two-parameter period maps by nilpotent orbits (December, 2023)  [abs]
4. Robles, C, Pseudoconvexity at infinity in Hodge theory: a codimension one example (February, 2023)  [abs]
5. Robles, C, Extension of Hodge norms at infinity (February, 2023)  [abs]

Recent Grant Support

• RTG: Linked via L-functions: training versatile researchers across number theory, National Science Foundation, 2023/10-2029/09.      
• Complex geometry and differential invariants of period maps, National Science Foundation, 2026/09-2028/08.      
• Complex Geometric Properties of Period Maps, National Science Foundation, 2023/08-2027/07.