Colleen M Robles

Completions of period maps - School on Hodge theory, Shimura varieties and related topics · September 2024 Invited Talk Essener Seminar für Algebraische Geometrie und Arithmetik, Universität Duisburg-Essen Invited mini-course

Period maps as invariants of moduli - JM Invariant at 60: A Conference on Tensor Invariants in Geometry and Complexity Theory · May 2024 Invited Talk Auburn U, Auburn U

Completions of 2-parameter period maps by nilpotent orbits - Workshop on Moduli, K-trivial Varieties, and Related Topics · February 2024 Invited Talk IBS Center for Complex Geometry, Daejeon, South Korea

The completion problem - School on Moduli, K-trivial Varieties, and Related Topics · February 2024 Invited Talk IBS Center for Complex Geometry, Daejeon, South Korea Mini-course (3 hours)

The Linear Algebra Game - Lean Seminar · November 15, 2023 Invited Talk Rutgers Abstract: We present our work on the Linear Algebra Game. The game is a variation of the Natural Number Game developed by Kevin Buzzard, Mohammad Pedramfar. We developed the game with two goals: first, to provide a fun and accessible introduction to Lean; and second, to support students developing proof-writing skills in a linear algebra course. We will demonstrate the game; and discuss some of the challenges that arose in the project, and how they were addressed. (The project was part of the Summer 2023 Math+ Program for collaborative student research at Duke University.)

Completion of 2-parameter period maps by nilpotent orbits - Algebraic & Arithmetic Geometry Seminar · October 30, 2023 Invited Talk Department of Mathematics, Washington U in St. Louis

The Linear Algebra Game - QED: a conversation about math and math education · September 11, 2023 Invited Talk National Museum of Mathematics A discussion of Math+ Project: Automated Theorem Proving and Proof Verification (Summer 2023) by Duke undergraduate researchers Yannan Bai, Annapurna Bhattacharya, Stavan Jain, Kurt Ma, Ricardo Prado Cunha, Anoushka Sinha.

Hodge theoretic generalizations of Satake-Baily-Borel - Colloquium · April 27, 2023 Invited Talk Department of Mathematics, UNC

Variations of Hodge structure: representation theoretic aspects, and an open question - Representation Theory and Geometry · June 2022 Invited Talk Paris 3 hr mini-course

Global properties of period maps at infinity - Oberseminar: Algebra, Zahlentheorie und algebraische Geometrie · June 2022 Invited Talk U Freiburg

Period mappings at infinity - Classical Elegance: the Geometry of Algebraic Varieties, in honour of Rita Pardini’s birthday · June 2022 Invited Talk Cortona

Period mappings at infinity - Conference on the occasion of Claire Voisin's 60th birthday · May 2022 Invited Talk Institut Henri Poincare, Paris

Completions of period mappings - Geometry/Topology Seminar · April 2021 Invited Talk Stony Brook

Lie group structures in Hodge theory - Recent Developments in Hodge theory · March 2021 Invited Talk IMSA Two lectures

Completions of period mappings · February 2021 Invited Talk IMSA

Linear structures in Hodge theory - Introductory Workshop: Combinatorial Algebraic Geometry · February 2021 Invited Talk ICERM

Completions of period mappings - Geometry Seminar · December 2020 Invited Talk KTH, Stockholm

Completions of period mappings - Essener Seminar für Algebraische Geometrie und Arithmetik · December 2020 Invited Talk Fakultät für Mathematik, Universität Duisburg-Essen

Completions of period mappings - Brussels–Oxford–Warwick–London · October 2020 Invited Talk

Completions of period mappings - Komplex Analysis: algebraicity and transcendence · August 2020 Invited Talk Oberwolfach, Germany

Refinement of Lefschetz decomposition for hyper-Kahler manifolds - Algebraic Geometry Seminar · February 2020 Invited Talk U Colorado

Characterization of the Gross CY-VHS - Legacy of Elie Cartan · December 19, 2019 Invited Talk Tsinghua Sanya International Mathematics Forum, Sanya, China

Refinement of Lefschetz decomposition for hyper-Kahler manifolds - Yaufest: Recent Advances in Mirror Symmetry · December 19, 2019 Invited Talk Tsinghua Sanya International Mathematics Forum, Sanya, China

Gauss-Bonnet Theorem - Senior Women in Science Lecture · November 2019 Invited Talk Senior Women in Science at Duke, Duke University

Identification of Hodge Domains - Algebraic Geometry Seminar · September 2019 Invited Talk Washington University in St Louis

Refinement of Lefschetz decomposition for hyper-Kahler manifolds - Discrete Groups and Moduli · June 2019 Invited Talk Nagoya University, Nagoya, Japan

Refinement of Lefschetz decomposition for hyper-Kahler manifolds - Cartan Geometry · May 2019 Invited Talk Korea Institute for Advanced Study, Seoul, Korea

Refinement of Lefschetz decomposition for hyper-Kahler manifolds - Hodge Theory, Arithmetic and Moduli · May 2019 Invited Talk Pacific Institute for the Mathematical Sciences, Vancouver, Canada

Refinement of Lefschetz decomposition for hyper-Kahler manifolds - Women in Geometry Workshop · April 2019 Invited Talk Rice U, Houston, Texas

Refinement of Lefschetz decomposition for hyper-Kahler manifolds - Baltimore-Washington Metro Area Differential Geometry Seminar · April 2019 Invited Talk Howard U, Baltimore

The Orbit Theorems and Applications - Algebraic Geometry and Complex Geometry · December 17, 2018 - December 21, 2018 Invited Talk Centre International de Rencontres Mathématiques, Luminy, Francy Three invited lectures on the nilpotent and SL(2) orbit theorems of Schmid and Cattani-Kaplan-Schmid, and their application to algebraicity questions.

Hodge Theory and Algebraic Moduli for Beginners - Department Colloquium · November 30, 2018 Invited Talk Georgia Southern U, Mathematics Department, Statesboro, GA

Degeneration of Hodge structures - New trends and open problems in Geometry and Global Analysis · August 27, 2018 - August 31, 2018 Invited Talk Philipps-Universität Marburg, Castle Rauischholzhausen

Representation theory as a Hodge theoretic tool - Algebraic Geometry Seminar · June 28, 2018 Invited Talk Università di Pisa, Mathematics Department, Pisa

Completion of Period Mappings - Modern Geometry · March 1, 2018 - March 4, 2018 Invited Talk University of Miami, Miami

Compactifications of moduli spaces - Department Colloquium · February 9, 2018 Invited Talk Wichita State University, Mathematics Department, Wichita, KS

Generalizing the Satake-Baily-Borel compactification - Simons Workshop on Homological Mirror Symmetry and Hodge Theory · January 10, 2018 - January 13, 2018 Invited Talk Harvard, Cambridge, MA

Generalizing the Satake-Baily-Borel compactification · November 2017 Instructional Course, Workshop, or Symposium Polish Academy of Science, Institute of Mathematics

Generalizing the Satake-Bailey-Borel compactification - Department Colloquium · October 2017 Invited Talk Brandeis U

Generalizing the Satake-Bailly-Borel compactification - Second Mathematical Congress of the Americas · July 2017 International Meeting or Conference Montreal

Hodge Theory and Representation Theory - Mathematics Seminar · May 2017 Invited Talk KIAS, Seoul

Generalizing the Satake-Baily-Borel compactification - Algebraic Geometry Seminar · April 2017 Invited Talk U of Utah

Generalizing the Satake-Bailey-Borel compactification - Workshop on Algebraic Varieties · March 2017 International Meeting or Conference Fields Institute, Toronto

Characterization of Gross's CY-VHS by characteristic forms - Lie Theory Workshop · February 2017 Invited Talk UC Berkeley https://math.berkeley.edu/~jawolf/LieTheoryFeb2017/index.html

Characterization of Gross's CY-VHS over tube domains - Geometry Seminar · December 2016 Invited Talk Johannes Gutenberg Universität, Mainz, Germany

Characterization of Gross's CY-VHS over tube domains by characteristic forms - Algebraic Geometry Seminar · November 2016 Invited Talk Purdue U

Characterization of Gross's canonical CY-VHS over tube domains by characteristic forms - Algebraic Geometry Northeastern Series · November 2016 Invited Talk U Mass, Amherst

Characterization of Gross's canonical CY-VHS over tube domains by characteristic forms - Algebraic Geometry Seminar · October 2016 Invited Talk UC San Diego

Differential Invariants of Curves - Smath Conference · September 2016 Invited Talk Smith College Plenary speaker.

Characterization of Gross's canonical CY-VHS over tube domains by characteristic forms - Geometry Seminar · September 2016 Invited Talk NC State U

Degenerations of Hodge structures - Algebraic Cycles and Moduli · June 2016 Invited Talk Centre de Recherches Mathématiques, Montreal, Canada conference

Degenerations of Hodge structures - Algebraic Geometry Seminar · May 2016 Invited Talk Standford U

Role of representation theory in Hodge theory · April 2016 Invited Talk Korea Institute for Advanced Study 5.5 hour invited lecture series

Analog of the Satake-Baily-Borel compactification for period domains - Focused Research Group on Hodge Theory, Moduli and Representation Theory: Workshop VI · March 2016 Invited Talk Simons Center for Geometry and Physics, Stony Brook, NY One week conference.

Degenerations of Hodge structures - Geometry Seminar · March 2016 Invited Talk U Miami

Degenerations of Hodge structure - Department Colloquium · January 2016 Invited Talk Washington U in St. Louis

Horizontal Schubert Varieties - Geometric Methods in Representation Theory Seminar · October 2015 Invited Talk U North Carolina

Nilpotent orbits in Hodge theory - Algebraic Geometry Summer Research Institute Bootcamp · July 2015 Invited Talk 14 hour invited lecture series

Service to the Profession

Committee Member, Committee on Science Policy · February 2026 - January 2029 Committee Service American Mathematics Society

co-organizer of session on "Geometric aspects of Hodge theory", Summer Research Institute in Algebraic Geometry · July 2025 Administration Colorado State University, Fort Colllins

Editor, Annals of Formalized Mathematics · February 2024 Editorial Activities

Participant, Faculty Curriculum on Anti-Racism · January 11, 2021 - January 14, 2021 Professional Development Duke Office of Faculty Advancement

co-organizer, Duke Mathematical Journal Conference · April 2018 Administration Duke University, Durham

co-organizer, Hodge Theory, Moduli and Representation Theory · August 2017 Administration Simons Center for Geometry and Physics one week conference

co-organizer, Hodge Theory, Moduli and Representation Theory · August 2017 Administration Simons Center for Geometry and Physics, Stony Brook, NY

co-organizer, Flag Domains and Cycles Spaces · May 2017 Administration Korea Institute for Advanced Study one week research conference, http://home.kias.re.kr/MKG/h/FDCS2017/?pageNo=2569

co-organizer, Flag Domains and Cycle Spaces · May 2017 Administration Korea Institute for Advanced Study, Seoul

Editor · April 2017 - 2021 Editorial Activities Differential Geometry and its Applications 04/2017 - present

co-organizer, Workshop on Algebraic Varieties · March 2017 Administration Fields Institute, Toronto, Canada

co-organizer, Algebraic Cycles and Moduli · June 2016 Administration Centre de Recherches Mathématiques, Montreal, Canada one week research conference

co-organizer, Women in Geometry · November 2015 Administration Banff International Research Station one week workshop

Service to Duke

Led RCR session · August 21, 2025 - August 21, 2025 Professional Development Led the Responsible Conduct of Research training session for in-coming PhD students in mathematics and statistics

Provost's Academic Programs Committee (University) · September 2024 - August 2027 Committee Service

Department Liasion · February 2024 Other Mathematics Role: (1) To confidentially share with the department officers any issues or concerns that any department member would like brought to their attention; and (2) To serve as a discreet and disinterested (but not uninterested) resource and/or sounding board for any department member. Active: 2024 - present

Graduate Admissions (Department) · 2024 Committee Service Mathematics

Provost's Ad Hoc Working Group on Guaranteed 12-months Funding for Duke PhD Students (University) · July 2021 - October 2021 Committee Service Duke

SPIRE Fellows Mentor · August 2020 Other Duke 2020 - present.

Lecturer, Summer Workshop in Mathematics · June 2019 Other Duke University, Mathematics Department

Lecturer, Summer Workshop in Mathematics · June 2018 Other Duke University, Mathematics Depatment A Duke Mathematics run program for high school women. One lecture.

Lecturer, Summer Workshop in Mathematics · June 2017 Other Duke University, Mathematics Depatment A Duke Mathematics run program for high school women. One lecture.

Faculty Champion, UCEM · June 2017 - January 2024 Other Duke

Graduate Student Selection Committee for the 2018 Deans Awards for Excellence in Mentoring (University) · 2017 Committee Service Duke Fall 2017

Duke Mathematical Sciences Sabbatical Fellows Committee (Department) · 2017 Committee Service Mathematics Appointment 2017 -- present.

Organizer, Women In Math Lunches · 2016 Other Mathematics Department, Duke

Gergen Speaker Selection Committee (Department) · 2016 - 2018 Committee Service

Graduate Admissions Committee (Department) · 2016 - 2018 Committee Service Mathematics

Academic & Administrative Activities

Mathematics Department Liaison, Fall 2024 -- present.

• Dedicated, neutral conduit through which comments and concerns about departmental culture, atmosphere and behavior can be communicated to department officers and/or deans.
• Serves as a discreet resource and/or sounding board for any department member.
• Duke's Policy on Prohibited Discrimination, Harassment, and Related Misconduct (https://oie.duke.edu/policies-procedures-and-statements/policy-prohibited-discrimination-harassment-and-related/)
• Duke's OIE Reporting Process (https://oie.duke.edu/how-we-work/reporting-process/)