# Mathematical Sciences Research Institute

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1. # Summer Graduate SchoolGeometric Measure Theory and Applications

Camillo De Lellis (Universität Zürich), Tatiana Toro* (University of Washington)

Geometric Measure Theory (GMT) is a field of Mathematics that has contributed greatly to the development of the calculus of variations and geometric analysis. In recent years it has experienced a new boom with the development of GMT in the metric space setting which has lead to unexpected applications (for examples to questions arising from theoretical computer sciences). The goal of this summer graduate workshop is to introduce students to different aspects of this field. There will be 5 mini-courses and a couple of research lectures. We expect students to have a solid background in measure theory.

Jul 11, 2011
Monday
 09:25 AM - 09:40 AM Welcome to MSRI 09:40 AM - 10:55 AM Lecture Tatiana Toro (University of Washington) 10:55 AM - 11:10 AM Break 11:10 AM - 12:25 PM Lecture Camillo De Lellis (Universität Zürich) 12:25 PM - 02:00 PM Break 12:30 PM - 02:00 PM Lunch 02:00 PM - 03:15 PM Lecture Tatiana Toro (University of Washington) 02:00 PM - 03:15 PM Break 03:15 PM - 03:45 PM Tea 03:15 PM - 03:45 PM Break 03:45 PM - 05:00 PM TA session
Jul 12, 2011
Tuesday
 09:30 AM - 10:45 AM Lecture Camillo De Lellis (Universität Zürich) 10:45 AM - 11:00 AM Break 11:00 AM - 12:15 PM Lecture Luigi Ambrosio (Scuola Normale Superiore) 12:15 PM - 02:00 PM Break 12:30 PM - 02:00 PM Lunch 02:00 PM - 03:30 PM Lecture Luigi Ambrosio (Scuola Normale Superiore) 02:00 PM - 03:30 PM Break 03:30 PM - 04:00 PM Tea 03:30 PM - 04:00 PM Break 04:00 PM - 05:00 PM TA session
Jul 13, 2011
Wednesday
 09:30 AM - 10:30 AM Lecture Tatiana Toro (University of Washington) 10:30 AM - 11:30 AM Lecture Camillo De Lellis (Universität Zürich) 11:30 AM - 02:00 PM BBQ Lunch 11:30 AM - 02:00 PM Break 02:00 PM - 03:30 PM Lecture Bruce Kleiner 03:30 PM - 04:00 PM Tea 03:30 PM - 04:00 PM Break 04:00 PM - 05:00 PM TA session
Jul 14, 2011
Thursday
 09:30 AM - 10:45 AM Lecture Luigi Ambrosio (Scuola Normale Superiore) 10:45 AM - 11:00 AM Break 11:00 AM - 12:15 PM Lecture Luigi Ambrosio (Scuola Normale Superiore) 12:15 PM - 02:00 PM Break 12:30 PM - 02:00 PM Lunch 02:00 PM - 03:30 PM Lecture Camillo De Lellis (Universität Zürich) 02:00 PM - 03:30 PM Break 03:30 PM - 04:00 PM Tea 03:30 PM - 04:00 PM Break 04:00 PM - 05:00 PM TA session
Jul 15, 2011
Friday
 09:30 AM - 10:45 AM Lecture Tatiana Toro (University of Washington) 10:45 AM - 11:00 AM Break 11:00 AM - 12:15 PM Lecture Camillo De Lellis (Universität Zürich) 12:15 PM - 02:00 PM Break 12:30 PM - 02:00 PM Lunch 02:00 PM - 03:15 PM Lecture Tatiana Toro (University of Washington) 02:00 PM - 03:15 PM Break 03:15 PM - 03:45 PM Tea 03:15 PM - 03:45 PM Break 03:45 PM - 05:00 PM TA session
Jul 18, 2011
Monday
 09:30 AM - 10:45 AM Lecture - Robert Hardt 10:45 AM - 11:00 AM Break 11:00 AM - 12:15 PM Lecture Leon Simon 12:15 PM - 02:00 PM Break 12:30 PM - 02:00 PM Lunch 02:00 PM - 03:15 PM Lecture Neshan Wickramasekera 02:00 PM - 03:15 PM Break 03:15 PM - 03:45 PM Tea 03:15 PM - 03:45 PM Break 03:45 PM - 05:00 PM TA session
Jul 19, 2011
Tuesday
 09:30 AM - 10:45 AM Lecture - Robert Hardt 10:45 AM - 11:00 AM Break 11:00 AM - 12:15 PM Lecture Leon Simon 12:15 PM - 02:00 PM Break 12:30 PM - 02:00 PM Lunch 02:00 PM - 03:15 PM Lecture Thierry De Pauw 02:00 PM - 03:15 PM Break 03:15 PM - 03:45 PM Tea 03:45 PM - 05:00 PM TA session
Jul 20, 2011
Wednesday
 09:30 AM - 10:45 AM Lecture - Robert Hardt 10:45 AM - 11:00 AM Break 11:00 AM - 12:15 PM Lecture Leon Simon 12:15 PM - 02:00 PM Break 12:30 PM - 02:00 PM Lunch 02:00 PM - 03:15 PM Lecture Neshan Wickramasekera 02:00 PM - 03:15 PM Break 03:15 PM - 03:45 PM Tea 03:15 PM - 03:45 PM Break 03:45 PM - 05:00 PM TA session
Jul 21, 2011
Thursday
 09:30 AM - 10:45 AM Lecture - Robert Hardt 10:45 AM - 11:00 AM Break 11:00 AM - 12:15 PM Lecture Leon Simon 12:15 PM - 02:00 PM Break 12:30 PM - 02:00 PM Lunch 02:00 PM - 03:15 PM Lecture Thierry De Pauw 02:00 PM - 03:15 PM Break 03:15 PM - 03:45 PM Tea 03:15 PM - 03:45 PM Break 03:45 PM - 05:00 PM TA session
Jul 22, 2011
Friday
 09:30 AM - 10:45 AM Lecture - Robert Hardt 10:45 AM - 11:00 AM Break 11:00 AM - 12:15 PM Lecture Leon Simon 12:15 PM - 02:00 PM Break 12:30 PM - 02:00 PM Lunch 02:00 PM - 03:15 PM Lecture Neshan Wickramasekera 02:00 PM - 03:15 PM Break 03:15 PM - 03:45 PM Tea 03:45 PM - 05:00 PM TA session
2. # MSRI-UPMSRI-UP 2011: Mathematical Finance

Dr. Duane Cooper (Morehouse College), Dr. Ricardo Cortez (Tulane University), Dr. Herbert Medina (Loyola Marymount University), Dr. Ivelisse Rubio (University of Puerto Rico), and Dr. Suzanne Weekes*(Worcester Polytechnic Institute)

The MSRI-UP summer program is designed for undergraduate students who have completed two years of university-level mathematics courses and would like to conduct research in the mathematical sciences. Due to funding restrictions, only U.S. citizens and permanent residents are eligible to apply and the program cannot accept foreign students regardless of funding.

Jul 22, 2011
Friday
 09:00 AM - 10:00 AM Speakers:Nathan Belete, Kendra Pleasant, Raymond Perkins 10:00 AM - 11:00 AM Speakers:Michelle Bongard,Joe LaBriola, Vishnu Thaver 11:00 AM - 12:00 PM Speakers:Andrea Arauza, Jason Bello 12:00 PM - 01:00 PM Break 01:00 PM - 02:00 PM Speakers:Kerisha Burke, Jasmine Osorio, Nathan Lopez 02:00 PM - 03:00 PM Speakers:Allyson Blizman, Elisa Rosales, Alejandro Samaniego 03:00 PM - 04:00 PM Speakers:Dan Q.E. Matovu, Adrian Ochoa, Diego Michael Francisco Osorio
3. # Summer Graduate SchoolThe Dirichlet Space: Connections between Operator Theory, Function Theory, and Complex Analysis

Nicola Arcozzi (Universita' di Bologna), Richard Rochberg (Washington University), Eric T Sawyer (McMaster University), Brett D Wick* (Georgia Institute of Technology)

This workshop will focus on the classical Dirichlet space of holomorphic functions on the unit disk. This space is at the center of several active, interrelated areas of research that, viewed more broadly, focus on the interaction between function theoretic operator theory and potential theory. There are several goals of this Summer Graduate Workshop. First, mathematically, the workshop will demonstrate the basic properties of the Dirichlet space, then introduce the technique of Trees in Function Spaces. The workshop will show the interconnections between the areas of Complex Analysis, Function Theory, and Operator Theory and will also illustrate the real-variable analogues of the analytic result discussed.

Jun 20, 2011
Monday
 09:25 AM - 09:40 AM Introduction 09:40 AM - 10:40 AM Lecture: Richard Rochberg 11:10 AM - 12:10 PM Lecture: Nicola Arcozzi 12:10 PM - 02:00 PM Lunch 02:00 PM - 03:00 PM Lecture: Richard Rochberg 03:00 PM - 03:30 PM Tea 03:30 PM - 04:30 PM Tutorial
Jun 21, 2011
Tuesday
 09:30 AM - 10:30 AM Lecture: Richard Rochberg 11:00 AM - 12:00 PM Lecture: Nicola Arcozzi 12:00 PM - 02:00 PM Lunch 02:00 PM - 03:00 PM Lecture: Eric Sawyer 03:00 PM - 03:30 PM Tea 03:30 PM - 04:30 PM Tutorial
Jun 22, 2011
Wednesday
 09:00 AM - 10:00 AM Lecture: Eric Sawyer 10:30 AM - 11:30 AM Lecture: Nicola Arcozzi 11:30 AM - 02:00 PM BBQ Lunch 02:00 PM - 03:00 PM Lecture: Eric Sawyer 03:00 PM - 03:30 PM Tea 03:30 PM - 04:30 PM Lecture: Richard Rochberg
Jun 23, 2011
Thursday
 09:30 AM - 10:30 AM Lectuire: Richard Rochberg 11:00 AM - 12:00 PM Lecture: Nicola Arcozzi 12:00 PM - 02:00 PM Lunch 02:00 PM - 03:00 PM Lecture: Eric Sawyer 03:00 PM - 03:30 PM Tea 03:30 PM - 04:30 PM Tutorial
Jun 24, 2011
Friday
 09:30 AM - 10:30 AM Lecture: Eric Sawyer 11:00 AM - 12:00 PM Lecture: Nicola Arcozzi 12:00 PM - 02:00 PM Lunch
Jun 27, 2011
Monday
 09:30 AM - 10:30 AM Lecture: Stefan Richter 11:00 AM - 12:00 PM Lecture: Brett Wick 12:00 PM - 02:00 PM Lunch 02:00 PM - 03:00 PM Lecture: Thomas Ransford 03:00 PM - 03:30 PM Tea 03:30 PM - 04:30 PM Tutorial
Jun 28, 2011
Tuesday
 09:30 AM - 10:30 AM Lecture: Stefan Richter 11:00 AM - 12:00 PM Lecture: Brett Wick 12:00 PM - 02:00 PM Lunch 02:00 PM - 03:00 PM Lecture: Thomas Ransford 03:00 PM - 03:30 PM Tea 03:30 PM - 04:30 PM Tutorial
Jun 29, 2011
Wednesday
 09:30 AM - 10:30 AM Lecture: Stefan Richter 11:00 AM - 12:00 PM Lecture: Brett Wick 12:00 PM - 02:00 PM Lunch 02:00 PM - 03:00 PM Lecture: Thomas Ransford 03:00 PM - 03:30 PM Tea 03:30 PM - 04:30 PM Lecture: Stefan Richter
Jun 30, 2011
Thursday
 09:30 AM - 10:30 AM Lecture: Stefan Richter 11:00 AM - 12:00 PM Lecture: Brett Wick 12:00 PM - 02:00 PM Lunch 02:00 PM - 03:00 PM Lecture: Thomas Ransford 03:00 PM - 03:30 PM Tea 03:30 PM - 04:30 PM Tutorial
Jul 01, 2011
Friday
 09:30 AM - 10:30 AM Lecture: Thomas Ransford 11:00 AM - 12:00 PM Lecture: Brett Wick 12:00 PM - 02:00 PM Lunch
4. # Summer Graduate SchoolCommutative Algebra

Daniel Erman (Stanford University), Irena Swanson* (Reed College), and Amelia Taylor (Colorado College)

This workshop will involve a combination of theory and symbolic computation in commutative algebra. The lectures are intended to introduce three active areas of research: Boij-Söderberg theory, algebraic statistics, and integral closure. The lectures will be accompanied with tutorials on the computer algebra system Macaulay 2.

Jun 06, 2011
Monday
 09:25 AM - 09:40 AM Introduction 09:40 AM - 10:40 AM Lecture Irena Swanson (Reed College) 11:10 AM - 12:10 PM Lecture Amelia Taylor (Colorado College) 12:10 PM - 01:30 PM Lunch 01:30 PM - 02:30 PM Lecture Daniel Erman (University of Michigan) 02:30 PM - 03:00 PM Exercises 03:00 PM - 03:30 PM Tea 03:30 PM - 04:00 PM Exercises 04:00 PM - 05:00 PM Macaulay2 05:00 PM - 05:30 PM Wrap-Up
Jun 07, 2011
Tuesday
 09:30 AM - 10:30 AM Lecture Irena Swanson (Reed College) 11:00 AM - 12:00 PM Lecture Amelia Taylor (Colorado College) 12:00 PM - 01:30 PM Lunch 01:30 PM - 02:30 PM Lecture Daniel Erman (University of Michigan) 02:30 PM - 03:00 PM Exercises 03:00 PM - 03:30 PM Tea 03:30 PM - 04:00 PM Exercises 04:00 PM - 05:00 PM Macaulay2 07:00 PM - 09:00 PM Evening Work Groups
Jun 08, 2011
Wednesday
 09:30 AM - 10:30 AM Lecture Irena Swanson (Reed College) 10:30 AM - 11:30 AM Lecture Amelia Taylor (Colorado College) 11:30 AM - 02:00 PM BBQ Lunch 02:00 PM - 03:00 PM Lecture Daniel Erman (University of Michigan) 03:00 PM - 03:30 PM Tea 03:30 PM - 05:00 PM Exercises 05:00 PM - 05:30 PM Wrap-Up
Jun 09, 2011
Thursday
 09:30 AM - 10:30 AM Lecture Irena Swanson (Reed College) 11:00 AM - 12:00 PM Lecture Amelia Taylor (Colorado College) 12:00 PM - 01:30 PM Lunch 01:30 PM - 02:30 PM Lecture Ezra Miller (Duke University) 02:30 PM - 03:00 PM Group Work 03:00 PM - 03:30 PM Tea 03:30 PM - 04:30 PM Group Work 04:30 PM - 05:00 PM Wrap-Up 07:00 PM - 09:00 PM Evening Work Groups
Jun 10, 2011
Friday
 09:30 AM - 10:30 AM Lecture Irena Swanson (Reed College) 11:00 AM - 12:00 PM Lecture Amelia Taylor (Colorado College) 12:00 PM - 01:30 PM Lunch 01:30 PM - 02:30 PM Lecture Daniel Erman (University of Michigan) 02:30 PM - 03:00 PM Group Work 03:00 PM - 03:30 PM Tea 03:30 PM - 05:00 PM Group Work 05:00 PM - 05:30 PM Wrap-Up
Jun 13, 2011
Monday
 09:30 AM - 10:30 AM Lecture Irena Swanson (Reed College) 11:00 AM - 12:00 PM Lecture Amelia Taylor (Colorado College) 12:00 PM - 01:30 PM Lunch 01:30 PM - 02:30 PM Lecture Daniel Erman (University of Michigan) 02:30 PM - 03:00 PM Group Work 03:00 PM - 03:30 PM Tea 03:30 PM - 05:00 PM Group Work 05:00 PM - 05:30 PM Wrap-Up
Jun 14, 2011
Tuesday
 09:30 AM - 10:30 AM Lecture Daniel Erman (University of Michigan) 11:00 AM - 12:00 PM Lecture Irena Swanson (Reed College) 12:00 PM - 01:30 PM Lunch 01:30 PM - 02:00 PM TBD 02:00 PM - 03:00 PM Group Work 03:00 PM - 03:30 PM Tea 03:30 PM - 04:30 PM Group Work 04:30 PM - 05:00 PM Wrap-Up 07:00 PM - 09:00 PM Evening Work Groups
Jun 15, 2011
Wednesday
 09:30 AM - 10:30 AM Lecture Amelia Taylor (Colorado College) 11:00 AM - 12:00 PM Lecture Daniel Erman (University of Michigan) 12:00 PM - 01:30 PM Lunch 01:30 PM - 02:30 PM Lecture David Eisenbud (MSRI - Mathematical Sciences Research Institute) 02:30 PM - 03:00 PM Group Work 03:00 PM - 03:30 PM Tea 03:30 PM - 05:00 PM Group Work 05:00 PM - 05:30 PM Wrap-Up
Jun 16, 2011
Thursday
 09:30 AM - 10:30 AM TBD Thomas Kahle 11:00 AM - 12:00 PM TBD Christine Berkesch 12:00 PM - 01:30 PM Lunch 01:30 PM - 02:00 PM TBD 02:00 PM - 03:00 PM Group Work 03:00 PM - 03:30 PM Tea 03:30 PM - 04:30 PM Group Work 04:30 PM - 05:00 PM Wrap-Up 07:00 PM - 09:00 PM Evening Work Groups
Jun 17, 2011
Friday
 09:30 AM - 10:30 AM Group Presentations 11:00 AM - 12:00 PM Group Presentations 12:00 PM - 01:30 PM Lunch 01:30 PM - 03:00 PM Group Presentations 03:00 PM - 03:30 PM Tea
5. # WorkshopCritical Issues in Mathematics Education 2011: Mathematical Education of Teachers

Dave Auckly, Sybilla Beckmann (chair), Jim Lewis and William McCallum

This workshop will showcase materials and successful teacher education programs, examine the Common Core State Standards and its implications, and explore how mathematics education research can improve practice.

May 11, 2011
Wednesday
 03:10 PM - 03:25 PM Hill Line Bus 03:40 PM - 03:55 PM Hill Line Bus 04:00 PM - 04:30 PM Introduction and overview 04:30 PM - 05:00 PM William McCallum, The Impact of the Common Core State Standards on the Education and Professional Development of Teachers 05:00 PM - 06:30 PM Reception and light buffet dinner 06:30 PM - 07:00 PM Denise Spangler, University of Georgia, Why Content Knowledge Matters in Teaching and the Implications for Teacher Education. 07:00 PM - 07:30 PM Diane Briars, President of the National Council of Supervisors of Mathematics (NCSM) 07:30 PM - 07:45 PM Break 07:45 PM - 08:15 PM Deborah Ball, University of Michigan, Learning to Teach Something in Particular: How the Common Core Can Leverage Radical Improvement in Teacher Training 08:25 PM - 08:35 PM MSRI Shuttle Bus 08:50 PM - 09:00 PM MSRI Shuttle Bus
May 12, 2011
Thursday
 07:40 AM - 07:55 AM Hill Line Bus 08:00 AM - 08:30 AM Coffee and tea 08:10 AM - 08:25 AM Hill Line Bus 08:30 AM - 10:00 AM How can the community of all mathematics teachers work together and learn from each other to improve mathematics teaching? 10:00 AM - 10:30 AM Break 10:30 AM - 12:00 PM Panel on curriculum and teacher education in light of the Common Core – comments from curriculum developers: Zalman Usiskin, University of Chicago; Paul Goldenberg, EDC, Andy Isaacs, University of Chicago 12:00 PM - 01:30 PM Lunch 01:30 PM - 03:00 PM Susan Jo Russell, TERC and Deborah Schifter, EDC, Early Algebra and the Common Core: What Do Teachers Need to Know? 03:00 PM - 04:00 PM Coffee and tea 04:00 PM - 05:30 PM Research findings about teacher education 05:55 PM - 06:05 PM Hill Line Bus 06:25 PM - 06:35 PM Hill Line Bus
May 13, 2011
Friday
 07:40 AM - 07:55 AM Hill Line Bus 08:00 AM - 08:30 AM Coffee and tea 08:10 AM - 08:25 AM Hill Line Bus 08:30 AM - 09:00 AM Joan Ferrini‐Mundy, National Science Foundation, Common Core Implementation and the Mathematical Education of Teachers: Policy Perspectives and Support 09:00 AM - 10:00 AM Aki Murata, W. Stephen Wilson, Panel on curricula and teacher learning. 10:00 AM - 10:30 AM Break 10:30 AM - 12:00 PM Breakout sessions 12:00 PM - 01:30 PM Lunch 01:30 PM - 03:00 PM Breakout sessions 03:00 PM - 03:30 PM Coffee and tea 03:30 PM - 04:15 PM Breakout sessions 04:15 PM - 04:30 PM Break 04:30 PM - 05:15 PM Followup efforts to the Common Core State Standards 05:45 PM - 07:00 PM Reception 06:15 PM - 06:45 PM Closing comments by Herbert Clemens, Ohio State University, Common Core Mathematics Standards and Teacher Professional Development. 06:25 PM - 06:35 PM Hill Line Bus 07:15 PM - 07:25 PM Hill Line Bus
6. # WorkshopArithmetic Statistics

Brian Conrey (American Institute of Mathematics), Barry Mazur (Harvard University), and Michael Rubinstein* (University of Waterloo)

Our workshop will highlight some work relevant to or carried out during our program at the MSRI, including statistical results about ranks for elliptic curves, zeros of L-functions, curves over finite fields, as well as algorithms for L-functions, point counting, and automorphic forms.

Apr 11, 2011
Monday
 09:25 AM - 09:40 AM Welcome 09:40 AM - 10:30 AM The Riemann Hypothesis is more likely to be true than not! Henryk Iwaniec 10:30 AM - 11:10 AM Tea 11:10 AM - 12:00 PM Point count statistics for families of curves over finite fields Par Kurlberg 12:00 PM - 02:10 PM Lunch 02:10 PM - 03:00 PM A positive proportion of plane cubics fail the Hasse principle Manjul Bhargava 03:00 PM - 03:30 PM Tea 03:30 PM - 04:20 PM Images of Galois representations associated to elliptic curves Nathan Jones 04:20 PM - 06:00 PM Reception
Apr 12, 2011
Tuesday
 09:40 AM - 10:30 AM Almost all reductions of a generic Drinfeld module have a large exponent Alina Cojocaru 10:30 AM - 11:10 AM Tea 11:10 AM - 12:00 PM Large values of the zeta function and disordered landscapes Jon Keating 12:00 PM - 02:10 PM Lunch 02:10 PM - 03:00 PM Paramodular forms and Böcherer's Conjecture Gonzalo Tornaría 03:00 PM - 03:30 PM Tea
Apr 13, 2011
Wednesday
 09:40 AM - 10:30 AM Disparity in the statistics for quadratic twist families of elliptic curves Barry Mazur (Harvard University) 10:30 AM - 11:10 AM Tea 11:10 AM - 12:00 PM Fast methods to compute the Riemann zeta function Ghaith Hiary
Apr 14, 2011
Thursday
 09:40 AM - 10:30 AM Towards an arithmetic theory of Jacobi forms over number fields Nils-Peter Skoruppa 10:30 AM - 11:10 AM Tea 11:10 AM - 12:00 PM Elliptic curves with a 7-isogeny, and a recalcitrant genus 12 curve Alice Silverberg (University of California, Irvine) 12:00 PM - 02:10 PM Lunch 02:10 PM - 03:00 PM Powers as values of polynomials David (Roger) Heath-Brown (University of Oxford) 03:00 PM - 03:30 PM Tea
Apr 15, 2011
Friday
 09:40 AM - 10:30 AM Bounding Average Ranks of Elliptic Curves in Families Wei Ho (University of Michigan) 10:30 AM - 11:10 AM Tea 11:10 AM - 12:00 PM Maass forms and class groups Andrew Booker 12:00 PM - 02:10 PM Lunch 02:10 PM - 03:00 PM Computing Zeta Functions of Curves with Automorphisms Kiran Kedlaya (University of California, San Diego) 03:00 PM - 03:30 PM Tea
7. # WorkshopFree Boundary Problems, Theory and Applications

John King (University of Nottingham), Arshak Petrosyan* (Purdue University), Henrik Shahgholian (Royal Institute of Technology), and Georg Weiss (University of Dusseldorf)

Many problems in physics, industry, finance, biology, and other areas can be described by partial differential equations that exhibit apriori unknown sets, such as interfaces, moving boundaries, shocks, etc. The study of such sets, also known as free boundaries, often occupies a central position in such problems. The main objective of the workshop is to bring together experts in various theoretical an applied aspects of free boundary problems.

Mar 07, 2011
Monday
 09:00 AM - 09:15 AM Welcome 09:15 AM - 10:15 AM A Free Boundary Problem Modeling Wound Healing Avner Friedman 10:15 AM - 11:00 AM Tea 11:00 AM - 12:00 PM On Unique Continuation for Nonlinear Elliptic Equations Luis Silvestre 12:00 PM - 02:00 PM Lunch 02:00 PM - 03:00 PM Laplacian Growth and the Mystery of the Abelian Sandpile Yuval Peres (University of California, Berkeley) 03:00 PM - 03:45 PM Tea 04:10 PM - 05:00 PM Nonlinear diffusion and free boundaries. From porous media to fractional diffusion Juan Vazquez
Mar 08, 2011
Tuesday
 09:00 AM - 10:00 AM Regularity properties of the non local parabolic obstacle problem Luis Caffarelli (University of Texas) 10:00 AM - 10:30 AM Tea 10:30 AM - 11:30 AM On the Rayleigh-Taylor Instability for the Two-Phase Navier-Stokes Equations Gieri Simonett 11:30 AM - 12:30 PM Vacuum in Gas and Fluid Dynamics Juhi Jang 12:30 PM - 02:00 PM Lunch 02:00 PM - 03:00 PM A Free Boundary Problem for Thin Films Antoine Mellet 03:00 PM - 03:30 PM Tea 03:30 PM - 04:30 PM Optimal regularity and the study of the free boundary in the parabolic Signorini problem Nicola Garofalo 05:30 PM - 07:30 PM Party at Craig Evans'
Mar 09, 2011
Wednesday
 09:00 AM - 10:00 AM Computational Surface Partial Differential Equations Charles Elliott (University of Warwick) 10:00 AM - 10:30 AM Tea 10:30 AM - 11:30 AM Free Boundary Problems in Elastoplasticity John Ockendon (University of Oxford) 11:30 AM - 12:30 PM Regularity and Free Boundary Regularity for the $$p$$-Laplace Operator in Reifenberg flat and Ahlfors Regular NTA-Domains Kaj Nyström (University of Umeå)
Mar 10, 2011
Thursday
 09:30 AM - 10:30 AM Electrowetting on Dielectric: Modeling, Analysis and Computation Ricardo Nochetto 10:30 AM - 11:00 AM Tea 11:00 AM - 12:00 PM Boundary Regularity for a Class of Solutions to the Monge-Ampere Eqation Ovidiu Savin 12:00 PM - 02:00 PM Lunch 02:00 PM - 03:00 PM Free Boundary Pointwise Estimates for the Obstacle Problem. Regis Monneau 03:00 PM - 03:30 PM Tea 03:30 PM - 04:30 PM Two-Phase Quadrature Domains Stephen Gardiner
Mar 11, 2011
Friday
 09:30 AM - 10:30 AM Free Boundary Problems in Conservation Laws Gui-Qiang Chen 10:30 AM - 11:00 AM Tea 11:00 AM - 12:00 PM Logarithmic Fluctuations from Circularity Lionel Levine 12:00 PM - 02:00 PM Lunch 02:00 PM - 03:00 PM Homogenization of the Oscillating Data on a Lower Dimensional Surface Ki-Ahm Lee 03:00 PM - 03:30 PM Tea 03:30 PM - 04:30 PM A Boundary Obstacle Problem Near Fixed Boundary Norayr Matevosyan
8. # WorkshopWorkshop on Mathematics Journals

James M Crowley (Society for Industrial and Applied Mathematics), Susan Hezlet* (London Mathematical Society), Robion C Kirby (University of California, Berkeley), and Donald E McClure (American Mathematical Society)

Mathematics relies on its journal literature as the main conduit for peer review and dissemination of research, and it does so more heavily and differently to other scientific fields. The conflict between universal access and the traditional subscription model that funds the journals has been debated for the past decade, while hard data on financial sustainability and usage under the different models has been slow to appear. However the last ten years have seen the move from print to the electronic version of journals becoming the version of record and the workshop plans to take an evidence-based approach to discussing dissemination, access and usage of mathematics journals.

Feb 14, 2011
Monday
 09:00 AM - 09:20 AM Welcome 09:20 AM - 09:30 AM Introduction - Why are we here and what do we hope to get out of this? Susan Hezlet 09:30 AM - 09:50 AM John Vaughn | Expanding Public Access to Research Results: Finding a Common Path Forward 09:50 AM - 10:10 AM The Work of IMU and CEIC on Journals and Related Issues John Ball 10:10 AM - 10:40 AM Tea 10:40 AM - 11:00 AM Policymakers and Open Access Samuel Rankin 11:00 AM - 11:20 AM TBA Jean-Pierre Bourguignon 11:20 AM - 11:40 AM The Manifold Atlas Project - a Model for Future Publishing? Matthias Kreck (Hausdorff Research Institute for Mathematics, University of Bonn) 11:40 AM - 12:10 PM Panel Discussion 12:10 PM - 01:40 PM Lunch 01:40 PM - 01:45 PM Introduction to Session 2 Donald McClure (Brown University) 01:45 PM - 02:05 PM Report by participants on conversations with the National Science Foundation, the National Science Board and the Office of Science and Technology Policy 02:05 PM - 02:25 PM Avenues for Mathematics Journals - on the road to 2025 Hans Koelsch 02:25 PM - 02:45 PM Everything you did before (and more!) but with a new financial model James Crowley (SIAM - Society of Industrial and Applied Mathematics) 02:45 PM - 03:00 PM Panel Discussion 03:00 PM - 03:30 PM Tea 03:30 PM - 04:15 PM Breakout Groups 04:15 PM - 05:00 PM Reporting Back and Wrap-Up Discussion
Feb 15, 2011
Tuesday
 09:00 AM - 09:10 AM Introduction to Session 3 Robion Kirby (UC Berkeley Math Faculty) 09:10 AM - 09:30 AM Summary of Results of Day 1 Donald McClure (Brown University) 09:30 AM - 09:50 AM Remarks on the "Ecology" of Mathematical Journals Carol Hutchins 09:50 AM - 10:10 AM The View from a Learned Society Angus Macintyre (School of Mathematical Sciences, Queen Mary, University of London) 10:10 AM - 10:30 AM Dynamics of Mathematics Journals from 2000 to 2009 Donald McClure (Brown University) 10:30 AM - 11:00 AM Tea 11:00 AM - 11:20 AM Access and Dissemination of Mathematics Journals: A Commercial Publisher's Perspective (with some Asides on Peer Review) David Clark 11:20 AM - 11:40 AM Paolo Mangiafico | On the Exchange of Apples and Ideas: A Brief Overview of Emerging Models for Scholarly Communication 11:40 AM - 12:10 PM Panel Discussion 12:10 PM - 01:40 PM Lunch 01:40 PM - 01:45 PM Introduction to Session 4 James Crowley (SIAM - Society of Industrial and Applied Mathematics) 01:45 PM - 02:05 PM A Charter for Sustainable Publishing Bernard Teissier (Institut de Mathématiques de Jussieu) 02:05 PM - 02:25 PM An Editor's view of recent challenges faced by the Annals David Gabai (Princeton University) 02:25 PM - 02:45 PM Mathematics journals: who reads them? Susan Hezlet 02:45 PM - 03:00 PM Panel Discussion 03:00 PM - 03:30 PM Tea 03:30 PM - 04:15 PM Breakout Groups 04:15 PM - 05:00 PM Reporting Back and Wrap-Up Discussion 05:00 PM - 06:00 PM Reception
Feb 16, 2011
Wednesday
 09:00 AM - 09:10 AM Introduction to Session 5 Susan Hezlet 09:10 AM - 09:30 AM Summary of Results of Day 2 James Crowley (SIAM - Society of Industrial and Applied Mathematics) 09:30 AM - 09:50 AM Tom Ward | The mill(in)er's tale 09:50 AM - 10:10 AM The Economics of Math Journals Supported by Page Charges Robion Kirby (UC Berkeley Math Faculty) 10:10 AM - 10:30 AM Random Thoughts on Mathematical Journals Robert Guralnick (University of Southern California) 10:30 AM - 11:00 AM Tea 11:00 AM - 11:20 AM Mira Waller | Nonprofit Publishing: Juggling Resources and Balancing Conflicting Needs 11:20 AM - 11:50 AM Panel Discussion 11:50 AM - 12:20 PM Breakout Groups 12:20 PM - 01:00 PM Reporting Back and Wrap-Up Discussion 01:00 PM - 02:30 PM Lunch
9. # WorkshopIntroductory Workshop: Arithmetic Statistics

Barry Mazur (Harvard University), Carl Pomerance (Dartmouth College), and Michael Rubinstein* (University of Waterloo)

Our Introductory Workshop will focus largely on the background, recent work, and current problems regarding: Selmer groups and Mordell-Weil groups, and the distribution of their ranks (and "sizes") over families of elliptic curves, including recent work of Manjul Bhargava and Arul Shankar where they have shown that the average size of the 2-Selmer group of an elliptic curve over Q is 3, and thereby obtains information about the average rank of Mordell-Weil groups; related work on the asymptotics of number fields; certain natural families of L-functions, and the statistical distribution of their zeros and values; complementary algorithmic methods and experimental results regarding L-functions, automorphic forms, elliptic curves and number fields; the statistical behavior of eigenvalues of Frobenius elements in Galois representations.

Jan 31, 2011
Monday
 08:55 AM - 09:10 AM Welcome 09:10 AM - 10:10 AM Introduction to asymptotics of number fields, conjectures, computation, experiments Henri Cohen 10:10 AM - 10:40 AM Tea 10:40 AM - 11:40 AM Selmer groups and ranks I Karl Rubin (University of California, Irvine) 11:40 AM - 12:40 PM Asymptotics of number fields Manjul Bhargava 12:40 PM - 02:30 PM Lunch 02:30 PM - 03:30 PM Overview of NT and RMT Michael Rubinstein (University of Waterloo) 03:30 PM - 04:00 PM Tea 04:00 PM - 05:00 PM The ratios conjecture and applications Nina Snaith (University of Bristol)
Feb 01, 2011
Tuesday
 09:00 AM - 10:00 AM Selmer groups and ranks II Karl Rubin (University of California, Irvine) 10:00 AM - 10:30 AM Tea 10:30 AM - 11:30 AM Asymptotics of number fields, II Manjul Bhargava 11:30 AM - 12:30 PM Counting Galois Sextic Fields by Varying Invariants Melanie Wood 12:30 PM - 02:30 PM Lunch 02:30 PM - 03:30 PM Orthogonal Ensembles and Central Values of L-functions Brian Conrey (AIM - American Institute of Mathematics) 03:30 PM - 04:00 PM Tea 04:00 PM - 05:00 PM Hyperelliptic curves, L-polynomials, and random matrices Andrew Sutherland 05:00 PM - 06:00 PM Reception
Feb 02, 2011
Wednesday
 08:30 AM - 09:30 AM Statistics of number and function fields I Jordan Ellenberg (University of Wisconsin) 09:30 AM - 10:30 AM Asymptotics of elliptic curves I Manjul Bhargava 10:30 AM - 11:00 AM Tea 11:00 AM - 12:00 PM Finding L-Functions out of Nothing David Farmer 12:00 PM - 01:00 PM Computations with Hilbert modular forms John Voight (Dartmouth College)
Feb 03, 2011
Thursday
 09:00 AM - 10:00 AM Asymptotics of elliptic curves II Manjul Bhargava 10:00 AM - 10:30 AM Tea 10:30 AM - 11:30 AM Bilinear Forms over Elliptic Curves with a Fixed Frobenius Field Henryk Iwaniec 11:30 AM - 12:30 PM Statistics of number and function fields Akshay Venkatesh (Stanford University) 12:30 PM - 02:15 PM Lunch 02:15 PM - 03:15 PM Computing Elliptic Curves using Modular Symbols John Cremona (University of Warwick) 03:15 PM - 03:45 PM Tea 04:10 PM - 05:00 PM $$x^2 + y^3 = z^7$$ Bjorn Poonen (Massachusetts Institute of Technology)
Feb 04, 2011
Friday
 09:00 AM - 10:00 AM Towards an analogue over Q(sqrt(5)) of Cremona\'s Tables William Stein (University of Washington) 10:00 AM - 10:30 AM Tea 10:30 AM - 11:30 AM Random Maximal Isotropic Subspaces and Selmer Groups Bjorn Poonen (Massachusetts Institute of Technology) 11:30 AM - 12:30 PM Moments of L-functions Kannan Soundararajan (Stanford University) 12:30 PM - 02:30 PM Lunch 02:30 PM - 03:30 PM The distribution of the zeros of L-functions in families over function fields Chantal David (Concordia University) 03:30 PM - 04:00 PM Tea 04:00 PM - 05:00 PM Thorne: Lower terms in counting cubic fields
10. # WorkshopConnections for Women: Arithmetic Statistics

Chantal David (Concordia University) and Nina Snaith* (University of Bristol)

The format of this 2-day workshop will be colloquium-style presentations that will introduce some of the major topics touched on by the "Arithmetic Statistics" program. They will be pitched so as to be understandable to researchers with a variety of mathematical backgrounds. The talks are designed broadly as a lead-in to the program's initial workshop (taking place the following week) and will include topics such as the Sato-Tate conjecture, random matrix theory, and enumeration of number fields. The purpose will be to provide background but also to present the exciting areas where progress is happening fast, where major problems have been solved, or where there are significant open questions that need to be tackled. With this we aim to provide motivation for the Connections participants to involve themselves with the remainder of the program.

Jan 27, 2011
Thursday
 10:25 AM - 10:55 AM Arrival and Tea 10:55 AM - 11:10 AM Welcome 11:10 AM - 12:10 PM Distributions of Ranks of Elliptic Curves Alice Silverberg (University of California, Irvine) 12:10 PM - 02:00 PM Lunch 02:00 PM - 03:30 PM Panel discussion Estelle Basor (AIM - American Institute of Mathematics) 03:30 PM - 04:00 PM Tea 04:00 PM - 05:00 PM Reductions of Elliptic Curves Alina Cojocaru
Jan 28, 2011
Friday
 09:30 AM - 10:30 AM Counting Number Fields Melanie Wood 10:30 AM - 11:00 AM Tea 11:00 AM - 12:00 PM L-functions and Random Matrix Theory Chantal David (Concordia University) 12:00 PM - 02:00 PM Lunch 02:00 PM - 03:00 PM Hard Problems in Number Theory arising from Cryptography Kristin Lauter 03:00 PM - 03:30 PM Tea 03:30 PM - 04:30 PM Counting Points on Curves over Finite Fields Alina Bucur (University of California, San Diego)
11. # WorkshopIntroductory Workshop: Free Boundary Problems, Theory and Applications

Tatiana Toro* (University of Washington)

Many problems in physics, industry, finance, biology, and other areas can be described by partial differential equations that exhibit a priori unknown sets, such as interfaces, moving boundaries or shocks for example. The study of such sets, also known as free boundaries, often plays a central role in the understanding of such problems. The aim of this workshop is to introduce several free boundary problems arising in completely different areas.

Jan 18, 2011
Tuesday
 09:25 AM - 09:40 AM Welcome 09:40 AM - 10:40 AM Degenerate Geometric Flows and related Free-Boundary Problems 11:10 AM - 12:10 PM Free Boundary Problems in Shock Analysis Mikhail Feldman (University of Wisconsin) 02:00 PM - 03:00 PM Homogenization for free boundary problems Inwon Kim (University of California, Los Angeles) 03:30 PM - 04:30 PM Monotonicity formulas and obstacle type problems Arshak Petrosyan (Purdue University)
Jan 19, 2011
Wednesday
 09:30 AM - 10:30 AM Degenerate Geometric Flows and related Free-Boundary Problems 11:00 AM - 12:00 PM Free Boundary Problems in Shock Analysis Mikhail Feldman (University of Wisconsin) 02:00 PM - 03:00 PM Homogenization for free boundary problems Inwon Kim (University of California, Los Angeles) 03:30 PM - 04:30 PM Monotonicity formulas and obstacle type problems Arshak Petrosyan (Purdue University)
Jan 20, 2011
Thursday
 09:30 AM - 10:30 AM Degenerate Geometric Flows and related Free-Boundary Problems 11:00 AM - 12:00 PM Free Boundary Problems in Shock Analysis Mikhail Feldman (University of Wisconsin) 02:00 PM - 03:00 PM Homogenization for free boundary problems Inwon Kim (University of California, Los Angeles) 03:30 PM - 04:30 PM Monotonicity formulas and obstacle type problems Arshak Petrosyan (Purdue University)
Jan 21, 2011
Friday
 09:30 AM - 10:30 AM Degenerate Geometric Flows and related Free-Boundary Problems 11:00 AM - 12:00 PM Free Boundary Problems in Shock Analysis Mikhail Feldman (University of Wisconsin) 02:00 PM - 03:00 PM Homogenization for free boundary problems Inwon Kim (University of California, Los Angeles) 03:30 PM - 04:30 PM Monotonicity formulas and obstacle type problems Arshak Petrosyan (Purdue University)
12. # WorkshopConnections for Women: Free Boundary Problems, Theory and Applications

Catherine Bandle (University of Basel), Claudia Lederman (University of Buenos Aires), Noemi Wolanski (University of Buenos Aires)

Contributions of women working in areas related to free boundary problems will be presented. It will include survey lectures on current problems and on standard techniques used in this field, as well as more specific new results of individual researchers. One of the major goals besides the scientific aspect, is to encourage women mathematicians to interact and to build networks. It addresses also to graduate students who are very welcome. A discussion on women’s experiences in the mathematical community should help them to find their way in their mathematical career.

Jan 13, 2011
Thursday
 08:55 AM - 09:10 AM Welcome 09:10 AM - 10:00 AM Optimization Problems for Domain Functionals Catherine Bandle 10:00 AM - 11:00 AM Tea 11:00 AM - 11:30 AM A Brief Overview on the Parabolic Obstacle-type Problem Darya Apushkinskaya 11:40 AM - 12:10 PM Uniqueness and Stability of Solitary Water Waves Vera Mikyoung Hur (University of Illinois at Urbana-Champaign) 12:10 PM - 02:10 PM Lunch 02:10 PM - 03:00 PM On some Optimal Partition Problems Susanna Terracini 03:00 PM - 03:50 PM Tea 03:50 PM - 04:20 PM Multiple-layer Solutions to the Allen-Cahn Equation on Hyperbolic Space Mariel Saez Trumper 04:30 PM - 05:00 PM Existence for a Linearized Steady-State Fluid-Nonlinear Elasticity Interaction Lorena Bociu
Jan 14, 2011
Friday
 09:00 AM - 09:50 AM Bernoulli Type Free Boundary Problems Noemi Wolanski (University of Buenos Aires) 10:00 AM - 10:30 AM Transonic Shocks and Free Boundary Problems Myoungjean Bae 10:30 AM - 11:00 AM Tea 11:00 AM - 11:30 AM Optimal Regularity and the Free Boundary in The Parabolic Signorini Problem Donatella Danielli 11:40 AM - 12:10 PM A Free Boundary Problem Arising in the Context of Bose-Einstein Condensation Benedetta Noris 12:10 PM - 02:10 PM Lunch 02:10 PM - 03:00 PM Two Phase Free Boundary Problems Nina Uraltseva 03:05 PM - 03:35 PM A Free Boundary Model for Price Formation Maria del Mar Gonzalez 03:35 PM - 04:00 PM Tea 04:00 PM - 05:00 PM Panel Discussion