Program History

Founders: Karen Uhlenbeck and Chuu-Lian Terng

Program Years: 1994-1999

First Name

Last Name

Current Affiliation

Program Year

Course

Lecture Topic

Chuu-Lian

Terng

UC Irvine

1994

Lecture

Constant Mean Curvature Surfaces

Karen

Uhlenbeck

IAS/UT Austin

1994

Lecture

Gauge Field Theory

Nancy

Hingston

TCNJ

1994

Lecture

Closed Geodesic on Spheres

Jean

Taylor

Rutgers University

1994

Lecture

Surface Motion Due to Surface Energy Reduction

Lisa

Jeffrey

University of Toronto

1994

Lecture

Symplectic Geometry and Circle Actions

Dusa

McDuff

Barnard College

1994

Lecture

The Geometry of Symplectic Energy

Lesley

Sibner

n/a

1994

Lecture

Gauge Theory and Analysis

Linda

Keen

CUNY

1994

Lecture

Hyperbolic Geometry and Spaces of Riemann Surfaces

Tilla

Weinstein

n/a

1994

Lecture

Conformal Methods in Surface Theory

Pamela

Davis

n/a

1994

Lecture

Changing the Image of Women in Science

Joyce

McLaughlin

n/a

1995

Undergraduate

Solving Inverse Problems Using Frequencies and Nodes

Barbara

Keyfitz

The Ohio State University

1995

Graduate

Hyperbolic Equations

Susan

Friedlander

University of Southern Califronia

1995

Graduate

Fluid Mechanics

Anne

Dougherty

University of Colorado Boulder

1996

Undergraduate

An Introduction to Queueing Theory

Ruth

Williams

UC San Diego

1996

Graduate

Reflecting Brownian Motions and Queueing Networks

Vien

Nguyen

n/a

1996

Graduate

Reflecting Brownian Motions and Queueing Networks

Stephanie

Frank Singer

n/a

1997

Undergraduate

Classical Mechanics and Symplectic Geometry

Lisa

Traynor

Bryn Mawr College

1997

Graduate

Classification Problems in Symplectic Geometry

Sue (Susan)

Tolman

Unviersity of Illinois - Urbana Champaign

1997

Graduate

Classification Problems in Symplectic Geometry

Yael

Karshon

University of Toronto

1997

Graduate

Classification Problems in Symplectic Geometry

Lisa

Mantini

Oklahoma State University

1998

Undergraduate

Representations of Finite Symmetry Groups

Leticia

Barchini

Oklahoma State University

1998

Graduate

Theory of Unitary Representations

Judy

Walker

University of Nebraska-Lincoln

1999

Undergraduate

Codes and Curves

Wen Ching (Winnie)

Li

Pennsylvania State University

1999

Graduate

The Arithmetic of Elliptic Curves, Modular Forms and Calabi-Yau Varieties

Noriko

Yui

Queens University

1999

Graduate

The Arithmetic of Elliptic Curves, Modular Forms and Calabi-Yau Varieties

Alice

Silverberg

UC Irvine

1999

Graduate

The Arithmetic of Elliptic Curves, Modular Forms and Calabi-Yau Varieties

Chris

Skinner

Princeton University

1999

Graduate

An Introduction to Galois Representations

Program Years: 2000-2009

First Name

Last Name

Current Affiliation

Program Year

Course

Lecture Topic

Judy

Goldsmith

University of Kentucky

2000

Undergraduate

Foundations of Computational Complexity

Sarah

Mocas

n/a

2000

Undergraduate

Foundations of Computational Complexity

Joan

Feigenbaum

Yale University

2000

Graduate

Cryptographic Complexity Theory

Tal

Malkin

Columbia University

2000

Graduate

Cryptographic Complexity Theory

Rebecca

Wright

Barnard College

2000

Graduate

Cryptographic Complexity Theory

Karen

Uhlenbeck

University of Texas at Austin

2001

Undergraduate

Mechanics from a Geometer's Viewpoint

Janet

Talvacchia

Swarthmore College

2001

Undergraduate

Mechanics from a Geometer's Viewpoint

Xenia

de la Ossa

University of Oxford

2001

Graduate

Calabi-Yau Manifolds over Finite Fields

Ranee

Brylinski

n/a

2001

Graduate

Geometric Quantization of the Kepler Manifold

Ingrid

Daubechies

Duke University

2002

Undergraduate

An Introduction to Fourier Analysis and Wavelets, With Some Application

Eleny

Ionel

Stanford University

2002

Graduate

Gromov-Witten Invariants in Symplectic Geometry

Dusa

McDuff

Barnard College

2002

Graduate

Gromov-Witten Invariants in Symplectic Geometry

Tandy

Warnow

University of Illionis-Urbana Champaign

2003

Undergraduate

Mathematical Biology

Dorothy

Buck

Duke University

2003

Undergraduate

Mathematical Biology

Lisa

Fauci

Tulane University

2003

Graduate

Mathematical Biology

Naomi

Leonard

Princeton University

2003

Graduate

Mathematical Biology

Lesley

Ward

University of South Austrailia

2004

Beginning

Harmonic Analysis: from Fourier to Haar

Cristina

Pereyra

University of New Mexico

2004

Beginning

Harmonic Analysis: from Fourier to Haar

Jill

Pipher

Brown University

2004

Advanced

The Wave Equation: Classical and Modern Methods

Gigliola

Staffilani

MIT

2004

Advanced

The Wave Equation: Classical and Modern Methods

Tara

Brendle

University of Glasgow

2005

Beginning

The Geometry of Groups

Indira

Chatterji

Cote d'Azur University

2005

Beginning

The Geometry of Groups

Ruth

Charney

Brandeis University

2005

Advanced

The Geometry of Groups

Karen

Vogtmann

Cornell and University of Warwick

2005

Advanced

The Geometry of Groups

Giuliana

Davidoff

Mount Holyoke College

2006

Beginning

Zeta functions

Margaret

Robinson

Mount Holyoke College

2006

Beginning

Zeta functions

Kate

Okikiolu

n/a

2006

Advanced

Spectral Zeta Functions in Geometry

Audrey

Terras

UC San Diego

2006

Advanced

Zeta and L-functions of Graphs

Amy

Ksir

US Naval Academy

2007

Beginning

Enumerative Geometry and String Theory

Jessica

Sidman

Amherst College

2007

Beginning

Toric Varieties

Frances

Kirwan

University of Oxford

2007

Advanced

Quotients of Algebraic Varieties by Group Actions

V.

Lakshmibai

n/a

2007

Advanced

Flag Varieties

Genevieve

Walsh

Tufts University

2008

Beginning

Surfaces, Orbifolds and Knots

Maggy

Tomova

University of Central Florida

2008

Beginning

Surfaces, Orbifolds and Knots

Rachel

Roberts

Washington University, St. Louis

2008

Advanced

Foliations and Laminations

Jennifer

Schultens

UC Davis

2008

Advanced

Surfaces in 3-manifolds

Irina

Mitrea

Temple University

2009

Beginning

Partial Differential Equations on Surfaces

Sun-Yung Alice

Chang

Princeton University

2009

Advanced

PDE in Conformal Geometry

Panagiota

Daskalopoulos

Columbia University

2009

Advanced

Nonlinear Diffusion

Program Years: 2010-2020

First Name

Last Name

Current Affiliation

Program Year

Course

Lecture Topic

Elena

Mantovan

Caltech

2010

Beginning

Class Field Theory for the p-adic Numbers

Rachel

Ollivier

University of British Columbia

2010

Beginning

The p-adic Tree and the Smooth Mod p Representations of GL (2;Qp)

Ariane

Mezard

IMJ-PRG

2010

Advanced

Lectures on p-adic Galois Representations

Marie-France

Vigneras

IMJ-PRG

2010

Advanced

Introduction to the p-adic Langlands Program

Becca

Willett

University of Chicago

2011

Beginning

Methods for Sparse Analysis of High-Dimensional Data, I

Rachel

Ward

UT Austin

2011

Beginning

Methods for Sparse Analysis of High-Dimensional Data, II

Sofya

Raskhodnikova

Boston University

2011

Advanced

Sublinear-time Algorithms

Anna

Gilbert

Yale University

2011

Advanced

Algorithms for Sparse Analysis

Joan

Licata

Australian National University

2012

Beginning

Tangent Vectors and Twisting Planes: An Introduction to Legendrian Knot Theory

Margaret

Symington

Mercer University

2012

Beginning

From Linear Algebra to the Non-Squeezing Theorem of Symplectic Geometry

Lisa

Traynor

Bryn Mawr College

2012

Advanced

The Flexibility and Rigidity of Lagrangian and Legendrian Submanifolds

Eleny

Ionel

Stanford University

2012

Advanced

Symplectic Techniques: The Space of Holomorphic Curves

Margaret

Readdy

University of Kentucky

2013

Combinatorics

Polytopes

Lauren

Williams

Harvard University

2013

Combinatorics

Topics in Enumerative Combinatorics

Maria

Chudnovsky

Princeton University

2013

Graph Theory

Graph Structure

Penny

Haxell

University of Waterloo

2013

Graph Theory

Basic Graph Theory

Alice

Guionnet

ENS-Lyon

2014

Beginning

Asymptotics of Moments in Random Matrix Theory

Catherine

Donati-Martin

University of Versailles

2014

Beginning

Extreme Eigenvalue Fluctuation for GUE

Ioana

Dumitriu

UC San Diego

2014

Advanced

Fluctuations from the Semicircle Law

Elizabeth

Meckes

Case Western Reserve

2014

Advanced

Concentration of Measure on the Compact Classical Matrix Groups

Elizabeth

Milicevic (formerly Beasley)

Haverford College

2015

Beginning

Grassmannians and Flag Varieties

Wei

Ho

IAS/PU/UM

2015

Beginning

Algebraic Curves over Finite Fields

Lucia

Caporaso

Roma Tre University

2015

Advanced

Moduli Space of Curves

Claire

Voisin

IMJ-PRG

2015

Advanced

Birational Invariants

Moira

Chas

Stony Brook University

2016

Beginning

Computer Driven Questions and Theorems in Geometry

Nancy

Hingston

The College of New Jersey

2016

Beginning

Closed Geodesics on Surfaces

Moon

Duchin

Tufts University

2016

Advanced

Counting and Growth

Nathalie

Wahl

University of Copenhagen

2016

Advanced

Structures on the Free Loop Space

Olga

Kharlampovich

CUNY Graduate Center

2017

Beginning

Free and Hyperbolic Groups

Kim

Ruane

Tufts University

2017

Beginning

Examples of Non-Positively Curved Groups

Goulnara

Arzhantseva

University of Vienna

2017

Advanced

Random Groups

Tatiana

Nagnibeda

University of Geneva

2017

Advanced

Amenability

Toni

Bluher

National Security Agency

2018

Beginning

Mathematics in Cryptography

Kristin

Lauter

Microsoft Research

2018

Advanced

Mathematics of Post-Quantum Cryptography

Panagiota

Daskalopoulos

Columbia University

2019

Uhlenbeck

Ancient Solutions to Geometric Flows

Tatiana

Toro

University of Washington

2019

Terng

Uniform Rectifiability via Perimeter Minimization

n/a

n/a

n/a

2020

n/a

n/a

n/a

n/a

n/a

2020

n/a

n/a

Program Years: 2021-2026

First Name

Last Name

Current Affiliation

Program Year

Course

Lecture Topic

Catharina

Stroppel

University of Bonn

2021

Uhlenbeck

Representation Theory and Categorification

Monica

Vazirani

UC Davis

2021

Terng

Representation Theory and Combinatorics of the Symmetric Group and Related Structures

Maria-Florina

Balcan

Carnegie Mellon

2022

Uhlenbeck

Foundations for Learning in the Age of Big Data

Cynthia

Rudin

Duke University

2022

Terng

Introduction to Interpretable Machine Learning

Tamar

Ziegler

Hebrew University

2023

Uhlenbeck

Ergodic Ramsey Theory

Lillian

Pierce

Duke University

2023

Terng

The Circle Method

Ana

Caraiani

Imperial College London

2024

Uhlenbeck

A Glimpse into the Langlands Program

Charlotte

Chan

University of Michigan

2024

Terng

Deligne-Lusztig Theory: Examples and Applications

Melody

Chan

Brown University

2025

Uhlenbeck

Tropical Geometry

Josephine

Yu

Georgia Institute of Technology

2025

Terng

Log-concavity and Matroids

Dominique

Maldague

University of Cambridge

2026

Terng

Waves, Wave Packets, and Their Interactions

Monica

Visan

University of California, Los Angeles

2026

Uhlenbeck

Waves, Wave Packets, and Their Interactions