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Colleen M Robles

Professor of Mathematics
Mathematics
Office hours Spring 2024: Tue + Thu, 1:00 - 2:30 PM  

Selected Presentations & Appearances


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
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)

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 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.)

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
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)

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 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,
Global properties of period maps at infinity - Oberseminar: Algebra, Zahlentheorie und algebraische Geometrie · June 2022 Invited Talk U Freiburg,
Variations of Hodge structure: representation theoretic aspects, and an open question - Representation Theory and Geometry · June 2022 Invited Talk Paris

3 hr mini-course

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

Linear structures in Hodge theory - Introductory Workshop: Combinatorial Algebraic Geometry · February 2021 Invited Talk ICERM,
Completions of period mappings · February 2021 Invited Talk IMSA,
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 - Geometry Seminar · December 2020 Invited Talk KTH, Stockholm
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,
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
Characterization of the Gross CY-VHS - Legacy of Elie Cartan · 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 - 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 - Cartan Geometry · May 2019 Invited Talk Korea Institute for Advanced Study, Seoul, Korea
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 canonical CY-VHS over tube domains by characteristic forms - Algebraic Geometry Northeastern Series · November 2016 Invited Talk U Mass, Amherst
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 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

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


co-organizer of session on "Geometric aspects of Hodge theory" - Summer Research Institute in Algebraic Geometry · July 2025 Event/Organization 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 Event/Organization Administration Duke University, Durham
co-organizer - Hodge Theory, Moduli and Representation Theory · August 2017 Event/Organization Administration Simons Center for Geometry and Physics,

one week conference

co-organizer of session on "Geometric aspects of Hodge theory" - Summer Research Institute in Algebraic Geometry · July 2025 Event/Organization 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 Event/Organization Administration Duke University, Durham
co-organizer - Hodge Theory, Moduli and Representation Theory · August 2017 Event/Organization Administration Simons Center for Geometry and Physics,

one week conference

co-organizer - Hodge Theory, Moduli and Representation Theory · August 2017 Event/Organization Administration Simons Center for Geometry and Physics, Stony Brook, NY
co-organizer - Flag Domains and Cycle Spaces · May 2017 Event/Organization Administration Korea Institute for Advanced Study, Seoul
co-organizer - Flag Domains and Cycles Spaces · May 2017 Event/Organization Administration Korea Institute for Advanced Study,

one week research conference, http://home.kias.re.kr/MKG/h/FDCS2017/?pageNo=2569

Editor · April 2017 - 2021 Editorial Activities Differential Geometry and its Applications,

04/2017 - present

co-organizer - Workshop on Algebraic Varieties · March 2017 Event/Organization Administration Fields Institute, Toronto, Canada
co-organizer - Algebraic Cycles and Moduli · June 2016 Event/Organization Administration Centre de Recherches Mathématiques, Montreal, Canada

one week research conference

co-organizer - Women in Geometry · November 2015 Event/Organization Administration Banff International Research Station,

one week workshop

Service to Duke


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,
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.

Faculty Champion . UCEM · June 2017 - January 2024 Other Duke,
Lecturer . Summer Workshop in Mathematics · June 2017 Other Duke University, Mathematics Depatment,

A Duke Mathematics run program for high school women. One lecture.

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.

Gergen Speaker Selection Committee (Department) · 2016 - 2018 Committee Service
Organizer . Women In Math Lunches · 2016 Other Mathematics Department, Duke,
Graduate Admissions Committee (Department) · 2016 - 2018 Committee Service Mathematics,

Academic & Administrative Activities


Director of Graduate Studies
Mathematics Department
Duke University
Jan 2019 -- present.