
Workshop Critical Issues in Mathematics Education 2015: Developmental Mathematics: For whom? Toward what ends?
Organizers: Duane Cooper (Morehouse College), Mark Hoover (University of Michigan), LEAD Robert Megginson (University of Michigan), Richard Sgarlotti (Hannahville Indian School), Katherine Stevenson (California State University, Northridge)This workshop will address the critical issue of developmental mathematics at two and fouryear colleges and universities and the broader dynamic of mathematics remediation that occurs at all levels. It will engage mathematicians, K12 teachers, mathematics educators, and administrators in a conversation about the goals of developmental mathematics and the contributions that our different professional communities make to this work. Key questions that will be addressed are:
1. How do we teach content in ways that acknowledge and leverage each student's prior learning experiences? In particular, how do we take advantage of a student's maturity while refining his or her learning habits where necessary?
2. How can developmental mathematics instruction move students through mathematics which must be relearned while simultaneously gaining momentum on more advanced mathematics (including the development of mathematical practices needed for meaningful mathematical work)?
3. What are strategies for supporting the needs of the wide range of students in developmental mathematics programsthose developing mathematical skills for life in general as well as those developing the foundation necessary to proceed towards a STEM major? How can we successfully address equity issues raised for students from groups underrepresented in STEM fields? How can developmental mathematics instruction blend synchronous and asynchronous instruction to achieve maximal efficiency and impact?
4. What is the proper balance between addressing the needs of the wide range of students mentioned in the preceding point and keeping instruction and course offerings concise?
5. What are the characteristics, training, and practices of a successful developmental mathematics teacher?
6. What support services enhance the success of a developmental mathematics program?
Updated on Jan 28, 2015 02:07 PM PST 
MSRIUP MSRIUP 2015: Geometric Combinatorics Motivated by Social Sciences
Organizers: Federico Ardila (San Francisco State University), LEAD Duane Cooper (Morehouse College), Herbert Medina (Loyola Marymount University), Ivelisse M. Rubio (University of Puerto Rico), Suzanne Weekes (Worcester Polytechnic Institute)The MSRIUP summer program is designed for undergraduate students who have completed two years of universitylevel 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. The academic portion of the 2015 program will be led by Prof. Francis Su from Harvey Mudd College.
Updated on Dec 01, 2014 04:17 PM PST 
Summer Graduate School Seminaire de Mathematiques Superieures 2015: Geometric and Computational Spectral Theory
Organizers: Alexandre Girouard (Laval University), Dmitry Jakobson (McGill University), Michael Levitin (University of Reading), Nilima Nigam (Simon Fraser University), Iosif Polterovich (Université de Montréal), Frederic Rochon (Université du Québec à Montréal)The lectures will focus on the following four topics: geometry of eigenvalues, geometry of eigenfunctions, spectral theory on manifolds with singularities and computational spectral theory. There has been a number of remarkable recent developments in these closely related fields. The goal of the school is to shed light on different facets of modern spectral theory and to provide a unique opportunity for graduate students and young researchers to get a “big picture” of this rapidly evolving area of mathematics. A particularly novel aspect of the school is the emphasis on the interactions between spectral geometry and computational spectral theory.
Updated on Jan 28, 2015 10:59 AM PST 
Summer Graduate School CRMPIMS Summer School in Probability
Organizers: LEAD Louigi AddarioBerry (McGill University), Omer Angel, LouisPierre Arguin, Martin Barlow, Edwin Perkins, Lea Popovic (Concordia University)The 2015 CRMPIMS Summer School in Probability will take place in Montreal, Canada, from June 15July 11, 2015. The school is built around two principal 24hour lecture courses, which will be delivered by Alice Guionnet (random matrices, free probability and the enumeration of maps) and Remco van der Hofstad (highdimensional percolation and random graphs). There will additionally be minicourses by Louigi AddarioBerry (random minimum spanning trees), Shankar Bhamidi (dynamic random network models) and Jonathan Mattingly (stabilization by noise). Some time is reserved for participants to present their own work.
Updated on Nov 03, 2014 09:28 AM PST 
Summer Graduate School Geometric Group Theory
Organizers: LEAD John Mackay (University of Bristol), Anne Thomas (University of Glasgow), Kevin Wortman (University of Utah)The aim of this workshop is to introduce graduate students to some specific core topics which will be under study at the upcoming MSRI program on Geometric Group Theory (GGT) in 2016. GGT encompasses a wide range of topics. The four minicourse topics have been chosen because they are central themes in GGT and in the upcoming MSRI program. Moreover, each topic is accessible to students with a range of backgrounds: the basic definitions are straightforward, with many simple and illuminating examples to work through, yet lead through to important questions in current research.
Updated on Aug 28, 2014 01:51 PM PDT 
Summer Graduate School NIMS Summer School on Random Matrix Theory
Organizers: LEAD Jinho Baik (University of Michigan)This summer graduate school will take place at the National Institute for Mathematical Sciences in Daejeon, South Korea. The purpose of this summer school is to introduce some of the basic ideas and methods of random matrix theory to graduate students. In particular there will be three lecture series on random matrix theory from three different perspectives: from the view points of the integrable structures, the moment method, and the Stieltjes transorm technique. In addition to the lectures, there will be discussion sessions, and the students will also have plenty of time to interact with the lecturers and with other students.
Please note that accepted students will be provided up to $1700 in travel reimbursement, in addition to meals and accommodation.
Updated on Nov 20, 2014 12:02 PM PST 
Summer Graduate School Mathematical Topics in Systems Biology
Organizers: LEAD Steven Altschuler (University of California, San Francisco), Lani Wu (University of California, San Francisco)This Summer Graduate School will introduce mathematics graduate students to the rapidly emerging area of systems biology. In particular, we will focus on the design and emergent behaviors of molecular networks used by cells to interpret their environments and create robust temporalspatial behaviors. This will be a very handson workshop with students working alone and in teams to program and present key ideas.
Updated on Aug 28, 2014 12:08 PM PDT 
Summer Graduate School Gaps between Primes and Analytic Number Theory
Organizers: Dimitris Koukoulopoulos (Université de Montréal), LEAD Emmanuel Kowalski (ETH Zurich), James Maynard (University of Oxford), Kannan Soundararajan (Stanford University)These courses will give students a full overview of the results of Zhang and Maynard on gaps between primes, and will provide them will a clear understanding of the tools involved. This will make accessible a significant part of modern analytic number theory. The lecturers will also make sure to include, within their course, examples and discussions going further than is strictly required to understand the proofs of Zhang and Maynard, e.g., in the direction of automorphic forms and the Riemann Hypothesis over finite fields.
Updated on Dec 09, 2014 12:23 PM PST 
Summer Graduate School Incompressible Fluid Flows at High Reynolds Number
Organizers: Jacob Bedrossian (University of Maryland), LEAD Vlad Vicol (Princeton University)The purpose of this two week workshop is to introduce graduate students to stateoftheart methods and results in mathematical fluid dynamics. In the first week, we will discuss the mathematical foundations and modern analysis aspects of the NavierStokes and Euler equations. In the second week, we will run two courses concurrently on the topics of inviscid limits and hydrodynamic stability. Specifically, one course will focus on boundary layers in high Reynolds number flows and the Prandtl equations while the other will focus on mixing and connections to turbulence. Through the lectures and associated problem sessions, the students will learn about a number of new analysis tools and principles of fluid mechanics that are not always taught in a graduate school curriculum.
Updated on Aug 28, 2014 08:47 AM PDT 
Summer Graduate School An Introduction to Character Theory and the McKay Conjecture
Organizers: Robert Guralnick (University of Southern California), Pham Tiep (University of Arizona)Character Theory of Finite Groups provides one of the most powerful tools to study groups. In this course we will give a gentle introduction to basic results in the Character Theory, as well as some of the main conjectures in Group Representation Theory, with particular emphasis on the McKay Conjecture.
Updated on Jan 13, 2015 12:51 PM PST 
Summer Graduate School Chip Firing and Tropical Curves
Organizers: LEAD Matthew Baker (Georgia Institute of Technology), Melody Chan (Harvard University), Sam Payne (Yale University)Tropical geometry uses a combination of techniques from algebraic geometry, combinatorics, and convex polyhedral geometry to study degenerations of algebraic varieties; the simplest tropical objects are tropical curves, which one can think of as "shadows" of algebraic curves. Linear equivalence of divisors on an abstract tropical curve is determined by a simple but rich combinatorial process called "chip firing", which was discovered independently in the discrete setting by physicists and graph theorists. From a pedagogical point of view, one can view tropical curves as a combinatorial model for the highly analogous but more abstract theory of algebraic curves, but there is in fact much more to the story than this: one can use tropical curves and chip firing to prove theorems in algebraic geometry and number theory. This field is relatively new, so participants will have the opportunity to start from scratch and still get a glimpse of the cutting edge in this active research area.
Updated on Jan 13, 2015 12:40 PM PST
Past Educational Events

Summer Graduate School Geometry and Analysis
Organizers: HansJoachim Hein (Imperial College, London), LEAD Aaron Naber (Massachusetts Institute of Technology)Geometric and complex analysis is the application of tools from analysis to study questions from geometry and topology. This two week summer course will provide graduate students with the necessary background to begin studies in the area. The first week will consist of introductory courses on geometric analysis, complex analysis, and Riemann surfaces. The second week will consist of more advanced courses on the regularity theory of Einstein manifolds, KahlerEinstein manifolds, and the analysis of Riemann surfaces.
Updated on Aug 11, 2014 12:16 PM PDT 
Summer Graduate School Stochastic Partial Differential Equations
Organizers: Yuri Bakhtin (New York University, Courant Institute), LEAD Ivan Corwin (Columbia University), James Nolen (Duke University)Stochastic Partial Differential Equations (SPDEs) serve as fundamental models of physical systems subject to random inputs, interactions or environments. It is a particular challenge to develop tools to construct solutions, prove robustness of approximation schemes, and study properties like ergodicity and fluctuation statistics for a wide variety of SPDEs.
The purpose of this two week workshop is to educate graduate students on the stateoftheart methods and results in SPDEs. The three courses which will be run simultaneously will highlight different (though related) aspects of this area including (1) Fluctuation theory of PDEs with random coefficients (2) Ergodic theory of SPDEs and (3) Exact solvability of SPDEsUpdated on Jun 24, 2014 02:31 PM PDT 
Summer Graduate School Algebraic Topology
Organizers: LEAD Jose CantareroLopez (Centro de Investigación en Matemáticas), LEAD Michael Hill (University of Virginia)Modern algebraic topology is a broad and vibrant field which has seen recent progress on classical problems as well as exciting new interactions with applied mathematics. This summer school will consist of a series of lecture by experts on major research directions, including several lectures on applied algebraic topology. Participants will also have the opportunity to have guided interaction with the seminal texts in the field, reading and speaking about the foundational papers.
Videos of selected lectures may be found here.
Updated on Jan 15, 2015 11:27 AM PST 
Summer Graduate School IAS/PCMI 2014: Mathematics and Materials
Organizers: Mark Bowick (Syracuse University), David Kinderlehrer (Carnegie Mellon University), Govind Menon (Brown University), Charles Radin (University of Texas)The program in 2014 will bring together a diverse group of mathematicians and scientists with interests in fundamental questions in mathematics and the behavior of materials. The meeting addresses several themes including computational investigations of material properties, the emergence of long range order in materials and selfassembly, the geometry of soft condensed matter and the calculus of variations, phase transitions and statistical mechanics. The program will cover several topics in discrete and differential geometry that are motivated by questions in materials science. Many central topics, such as the geometry of packings, problems in the calculus of variations and phase transitions, will be discussed from the complementary points of view of mathematicians and physicists.
Updated on Mar 06, 2014 12:12 PM PST 
Summer Graduate School Seminaire de Mathematiques Superieures 2014: Counting Arithmetic Objects
Organizers: Henri Darmon (McGill University), Andrew Granville (Université de Montréal), Benedict Gross (Harvard University)Updated on Jan 16, 2014 08:48 AM PST 
MSRIUP MSRIUP 2014: Arithmetic Aspects of Elementary Functions
Organizers: Duane Cooper (Morehouse College), Ricardo Cortez (Tulane University), LEAD Herbert Medina (Loyola Marymount University), Ivelisse M. Rubio (University of Puerto Rico), Suzanne Weekes (Worcester Polytechnic Institute)The MSRIUP summer program is designed for undergraduate students who have completed two years of universitylevel 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. The academic portion of the 2014 program will be led by Dr. Victor Moll from Tulane University.
Updated on Oct 31, 2014 10:19 AM PDT 
Summer Graduate School Dispersive Partial Differential Equations
Organizers: Natasa Pavlovic (University of Texas), Nikolaos Tzirakis (University of Illinois at UrbanaChampaign)The purpose of the workshop is to introduce graduate students to the recent developments in the area of dispersive partial differential equations (PDE).
Dispersive equations have received a great deal of attention from mathematicians because of their applications to nonlinear optics, water wave theory and plasma physics. We will outline the basic tools of the theory that were developed with the help of multilinear Harmonic Analysis techniques. The exposition will be as selfcontained as possible.
Updated on Jun 16, 2014 10:14 AM PDT 
Workshop Critical Issues in Mathematics Education 2014: The role of the mathematics department in the mathematical preparation of teachers
Organizers: Deborah Ball (University of Michigan), Solomon Friedberg (Boston College), LEAD Jim Lewis (University of Nebraska), Despina Stylianou (City College, CUNY), Peter Trapa (University of Utah), HungHsi Wu (University of California, Berkeley), Darryl Yong (Harvey Mudd College)The 2014 CIME workshop will focus on the role played by mathematics departments in preparing future teachers. As part of this focus, the workshop will consider two broad questions: What mathematics should teachers know, and how should they come to know this mathematics?
The Conference Board of the Mathematical Sciences publication, The Mathematical Education of Teachers II, recommends that, at institutions that prepare teachers, teacher education should be “an important part of a mathematics department’s mission” (p.19). Certainly, at some universities, mathematicians are significantly involved in the mathematical experiences of students who are planning become teachers. But there are many other departments where this is not true. Future mathematics teachers are enrolled in the department’s mathematics classes, but no one is attending to the fact that this is where they are developing mathematical knowledge and (from watching their instructors) ideas about how teach mathematics. This role – whether deliberate or latent –– is vitally important for the mathematical preparation of beginning teachers.
The CIME workshop has three core aims: (A) to acquaint mathematicians with basic facts about teacher education and how teacher education intersects with the math department even when no one is taking special note of the department’s role; (B) to explore a set of key questions and best practices central to taking advantage of the role that mathematics departments do – or could – play in the mathematical preparation of teachers:
 What is known about effective mathematical preparation of teachers, including curriculum, instructional approaches, and assessments?
 What supports do mathematicians and mathematics departments need to carry out this important role effectively? What are examples of successful models and what evidence exists about their effects?
 What are some of the persistent problems or challenges and what are promising examples of addressing these?
and (C) to identify possible action steps to provide more collective capacity for math departments to contribute to teachers’ mathematical education.
Updated on Apr 04, 2014 09:25 AM PDT 
Summer Graduate School Mathematical General Relativity in Cortona, Italy
Organizers: Justin Corvino (Lafayette College), Pengzi Miao (University of Miami), Giorgio Patrizio (Istituto Nazionale di Alta Matematica "Francesco Severi" (INdAM))In cooperation with INdAM (Istituto Nazionale di Alta Matematica) and the CMI (Clay Mathematical Institute), MSRI will sponsor a summer graduate workshop on Mathematical General Relativity in Cortona during the summer of 2013; the school will reprise the very successful school of Mathematical General Relativity held at MSRI in 2012.
Mathematical general relativity is the study of mathematical problems related to Einstein's theory of gravitation. There are interesting connections between the physical theory and problems in differential geometry and partial differential equations.
The purpose of the summer school is to introduce graduate students to some fundamental aspects of mathematical general relativity, with particular emphasis on the geometry of the Einstein constraint equations and the Positive Mass Theorem. These topics will comprise a component of the upcoming semester program at MSRI in Fall 2013.
There will be minicourses, as well as several research lectures.
Updated on Aug 01, 2013 10:02 AM PDT 
Mathematics Professional Development Institute Mathematics Professional Development Institute 2013
This is a threeweek institute on the mathematics of grades 68 in direct response to the recent adoption of the Common Core Mathematics Standards (CCMS) by California.
Updated on May 02, 2013 10:29 PM PDT 
Workshop Bay Area Circle for Teachers (BACT) Summer Workshop 2013
Organizers: LEAD Sage (Ann) Moore (Mills College)Updated on May 06, 2013 09:17 AM PDT 
MSRIUP MSRIUP 2013: Algebraic Combinatorics
Organizers: Duane Cooper (Morehouse College), Ricardo Cortez (Tulane University), Herbert Medina (Loyola Marymount University), LEAD Ivelisse M. Rubio (University of Puerto Rico), Suzanne Weekes (Worcester Polytechnic Institute)The MSRIUP summer program is designed for undergraduate students who have completed two years of universitylevel 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. The academic portion of the 2013 program will be led by Dr. Rosa Orellana from Dartmouth College.
Updated on Aug 15, 2013 08:52 AM PDT 
Julia Robinson Mathematics Festival Julia Robinson Mathematics Festival at Stanford, 5/11/2013
Updated on May 13, 2013 11:00 PM PDT 
Workshop Critical Issues in Mathematics Education 2013: Assessment of Mathematical Proficiencies in the Age of the Common Core
Organizers: Mark Thames* (University of Michigan), Kristin Umland* (University of New Mexico), Noah Heller (Math for America) and Alan Schoenfeld (University of California, Berkeley)This workshop will explore the fundamental problems of trying to assess students' mathematical proficiency, seeking to take a more comprehensive perspective on what it is to learn, know, and use mathematics. The advent of the Common Core State Standards both increases the demand and broadens the conception of what it is to be mathematically skillful, and opens new opportunities and challenges to improving our ability to assess what students understand and can do.
Updated on Sep 09, 2013 09:31 PM PDT 
Workshop Circle on the Road Spring 2013
Organizers: Amanda Serenevy (Riverbend Community Math Center), Dave Auckly (Kansas State University), Jonathan Farley (Research Institute for Mathematics), Hector Rosario (University of Puerto Rico, Mayaguez), Mark Saul (John Templeton Foundation), Diana White (University of Colorado Denver)This workshop will bring together new and experienced leaders of math circles for students and teachers. We welcome anyone who is interested in learning more about math circles, especially teachers. Workshop activities will include discussions, presentations, and a mathematics festival.
Participants will begin collaborating before the workshop to develop sample math circle sessions that they will present during the festival. These activities will be collaboratively evaluated and refined during the workshop.Updated on Jun 06, 2013 05:54 PM PDT 
Workshop UC Berkeley Julia Robinson Mathematics Festival
Updated on Jun 07, 2013 03:09 PM PDT 
Workshop Bay Area Circle for Teachers (BACT) Winter Workshop 2013
Organizers: Sage Moore, BACT DirectorUpdated on Jun 07, 2013 03:09 PM PDT 
Mathematics Professional Development Institute Mathematics Professional Development Institute 2012
This is a threeweek institute on the mathematics of grades 68 in direct response to the recent adoption of the Common Core Mathematics Standards (CCMS) by California.
Updated on May 07, 2013 11:15 AM PDT 
MSRIUP MSRIUP 2012: Enumerative Combinatorics
The MSRIUP summer program is designed for undergraduate students who have completed two years of universitylevel 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. The academic portion of the 2012 program will be led by Dr. Matthias Beck.
Updated on May 09, 2013 01:11 PM PDT 
Workshop Circle on the Road Spring 2012
Organizers: Dave Auckly, Robert Sachs, Amanda Serenevy, Dan UllmanThis workshop will bring together new and experienced leaders of math circles for students and teachers.
Workshop activities will include discussions, presentations, and a mathematics festival to be held outside of the MathAlive! exhibit that will be in the Smithsonian Institution.
Participants will begin collaborating before the workshop to develop sample math circle sessions that they will present during the festival. These activities will be collaboratively evaluated and refined during the workshop.
Updated on Jun 07, 2013 02:01 PM PDT 
Workshop Critical Issues in Mathematics Education 2012: Teacher education in view of the Common Core
Organizers: Dave Auckly, Hyman Bass, Amy CohenCorwin, and William McCallumThe wide adoption of the Common Core State Standards for Mathematics (CCSSM) offers a helpful curricular coherence to the environment of teacher education. And so the CCSSM present both an opportunity and a challenge to teacher education. An opportunity because of the greater focus made possible. A challenge because not only of the ambitious level of the CCSSM, but also of the prominent role in them of Mathematical Practices. While most mathematicians will find these congenial, much needs to be done to make them meaningfully understood by teachers and teacher educators, and, still more, how to enact them as an organic aspect of instruction. The CIME workshop aims to gather and stimulate ideas for how to meet this opportunity and challenge.
Updated on Sep 09, 2013 09:32 PM PDT 
Workshop Spring Opportunities
Organizers: David Auckly, Philip Kutzko, Trachette Jackson, and Robert MegginsonThis first workshop in a series addresses the professional advancement of underrepresented minorities in the mathematical sciences. It will include an introduction to mathematics represented in the MSRI research programs aimed at faculty in minority serving and primarily undergraduate institutions. Anyone who will be seeking employment in mathematics within the next couple of years would benefit from attending this workshop.
Updated on Jun 07, 2013 02:01 PM PDT 
MSRIUP MSRIUP 2011: Mathematical Finance
Organizers: 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 MSRIUP summer program is designed for undergraduate students who have completed two years of universitylevel 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.
Updated on Mar 07, 2012 08:55 AM PST 
Workshop Bay Area Circle for Teachers Summer Workshop
Organizers: David Auckly*The BACT Summer Workshop supports teachers in their development of problem solving skills as well as supporting the incorporation of problem solving into their teaching curriculum. During the earlier part of the week teachers will gain experience with a variety of problem solving techniques such as symmetry, mathematical patterns, and parity. Subsequent sessions will focus on particular topics such as geometry, sequences, counting, and number theory.
Note: for 2011 Workshop there will be two parallel sessions: one for elementary teachers and one for secondary teachers.
Updated on Jun 07, 2013 01:28 PM PDT 
Workshop Critical Issues in Mathematics Education 2011: Mathematical Education of Teachers
Organizers: Dave Auckly, Sybilla Beckmann (chair), Jim Lewis and William McCallumThis 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.
Updated on Nov 12, 2014 12:41 PM PST 
Workshop Circle on the Road Spring 2011
Organizers: Dave Auckly, Matthias Kawski, Jeff Morgan, Mark Saul, and Sam VanderveldeThis workshop will bring together people who have experience running math circles and teams of people who wish to start a math circle. The workshop will begin on Friday, with discussions and presentations related to math circles. On Saturday several sample math circle sessions will be offered, and the workshop will conclude on Sunday with more discussions and presentations.
Updated on Jun 07, 2013 01:28 PM PDT