Current all workshops

Amenability, coarse embeddability and fixed point properties
Organizers: Goulnara Arzhantseva (University of Vienna), LEAD Cornelia Drutu (University of Oxford), Graham Niblo (University of Southampton), Piotr Nowak (Polish Academy of Sciences)The main theme of the workshop is the spectrum of analytic properties running from Kazhdan's property (T) at one end to von Neumann's amenability at the other, that forms a foundational organizing structure for infinite groups and spaces. These properties can be described both analytically, via unitary representation theory, and geometrically, using embedding properties for discrete spaces. Connections with probability and combinatorics will likewise be addressed during the meeting.
Updated on Nov 15, 2016 04:24 PM PST 
Insect Navigation
Organizers: Larry Abbott (Columbia University), David Eisenbud (MSRI  Mathematical Sciences Research Institute), Mimi Koehl (University of California, Berkeley)A 3day joint workshop of MSRI and Janelia Research Campus of the Howard Hughes Medical Institute
Navigation in flies, mosquitos and ants is an interesting scientific problem that has considerable societal importance because of their role as disease vectors. This meeting will address two important aspects of navigation: 1) how are locations and orientations in space computed, represented and used in the insect brain, and 2) how do interactions between an organism and its environment affect its ability to navigate.
Updated on Nov 22, 2016 10:47 AM PST
Upcoming all workshops

Connections for Women: Harmonic Analysis
Organizers: Svitlana Mayboroda (University of Minnesota, Twin Cities), LEAD Betsy Stovall (University of WisconsinMadison)This workshop will highlight the work of several prominent women working in harmonic analysis, including some of the field's rising stars. There will also be a panel discussion. There will also be a contributed poster session. This workshop is open to, and poster contributions are welcome from all mathematicians.
Updated on Sep 12, 2016 03:51 PM PDT 
Introductory Workshop: Harmonic Analysis
Organizers: Allan Greenleaf (University of Rochester), LEAD Michael Lacey (Georgia Institute of Technology), Svitlana Mayboroda (University of Minnesota, Twin Cities), Betsy Stovall (University of WisconsinMadison), Brian Street (University of WisconsinMadison)This weeklong workshop will serve as an introduction for graduate students, postdocs, and other researchers to the main themes of the program. It will feature accessible talks by a number of leading harmonic analysts, including several short courses on the core ideas and techniques in the field. There will also be a problem session, to which all participants are encouraged to contribute.
Updated on Nov 17, 2016 11:01 AM PST 
Connections for Women: Analytic Number Theory
Organizers: LEAD Chantal David (Concordia University), Kaisa Matomäki (University of Turku), Lillian Pierce (Duke University), Kannan Soundararajan (Stanford University), Terence Tao (University of California, Los Angeles)This workshop will consist of lectures on the current state of research in analytic number theory, given by prominent women and men in the field. The workshop is open to all graduate students, postdocs, and researchers in areas related to the program; it will also include a panel discussion session among female researchers on career issues, as well as other social events
Updated on Aug 30, 2016 09:42 AM PDT 
Introductory Workshop: Analytic Number Theory
Organizers: Andrew Granville (Université de Montréal), LEAD Emmanuel Kowalski (ETH Zuerich), Kaisa Matomäki (University of Turku), Philippe Michel (Ecole Polytechnique Federale de Lausanne)The introductory workshop will present, through short minicourses and introductory lectures, the main topics that will be the subject of much of the Analytic Number Theory Programme at MSRI. These topics include the theory of multiplicative functions, the theory of modular forms and Lfunctions, the circle method, sieve methods, and the theory of exponential sums over finite fields
Updated on Nov 10, 2016 09:04 AM PST 
Critical Issues in Mathematics Education 2017: Observing for Access, Power, and Participation in Mathematics Classrooms as a Strategy to Improve Mathematics Teaching and Learning
Organizers: Michael Driskill (Math for America ), Esther Enright (Boise State University), Rochelle Gutierrez (University of Illinois), LEAD Jodie Novak (University of Northern Colorado), LEAD Miriam Sherin (Northwestern University), Joi Spencer (University of San Diego), Elizabeth van Es (University of California, Irvine)Success rates in mathematics as well as recruitment and retention rates in the mathematics pipeline are low at all education levels and are, across predictable demographics, disproportionately low for students who are women, Latin@, Black, American Indian, recent immigrants, emergent bilinguals/multilinguals, and poor. Efforts to address these low rates often focus on programmatic solutions such as creating mentoring or bridge programs to address perceived deficiencies. While these programs achieve some success, evidence suggests that they may not substantially improve students’ subsequent success in mathematics or meaningfully address the ways that students experience mathematics instruction.
The 2017 CIME workshop will focus on observations of mathematics classrooms through the lens of equity. Specifically, we will use observation as a tool for understanding and improving imbalances of access, participation, and power in mathematics teaching and learning. In doing so, we seek to better understand students’ experiences in mathematics classrooms in order to improve academic success, recruitment and retention, and meaningful experiences for historically marginalized populations.
Five questions structure the highly interactive design of the workshop:
 What does it mean to create an equitable classroom environment? How can the structure of classroom interactions lead to imbalances of access, identity, and power in mathematics teaching and learning? How can such structures be rebuilt to better serve all students?
 How might observations of mathematics instruction help us to identify power dynamics in classrooms? What language is helpful to describe interactions in mathematics classrooms? What might we learn from observations about how culture and identity are developed for some students but not others? What do classroom observations reveal about how instruction supports or discourages engagement in mathematics for students of different backgrounds?
 What does it mean to observe interactions in a mathematics classroom with an eye towards equity? What language is helpful to describe interactions in mathematics classrooms? How do we observe and describe interactions among students, between students and mathematics, between students and instructors, and between students and resources (i.e., textbooks, computers, chalkboards, manipulatives)?
 What professional experiences can support mathematics instructors to learn how to observe for, describe, interpret, and productively address interactions in the mathematics classroom from the lens of equity? What professional experiences can support mathematics instructors to increase the number of equitable interactions and decrease the number of inequitable ones in their classrooms?
 What measures might be useful in tracking our progress in learning to see, describe, interpret, and productively address (in)equitable interactions in mathematics classrooms? What measures and tools might be useful in tracking the impacts on instruction and student learning? How might we develop infrastructure to help with this work (video library, faculty resources, etc.)?
Updated on Sep 29, 2016 10:25 AM PDT 
Hot Topics: Galois Theory of Periods and Applications
Organizers: LEAD Francis Brown (University of Oxford), Clément Dupont (Université de Montpellier), Richard Hain (Duke University), Vadim Vologodsky (University of Oregon)Periods are integrals of algebraic differential forms over algebraicallydefined domains and are ubiquitous in mathematics and physics. A deep idea, originating with Grothendieck, is that there should be a Galois theory of periods. This general principle provides a unifying approach to several problems in the theory of motives, quantum groups and geometric group theory. This conference will bring together leading experts around this subject and cover topics such as the theory of multiple zeta values, modular forms, and motivic fundamental groups.Updated on Dec 02, 2016 11:54 AM PST 
Recent developments in Analytic Number Theory
Organizers: Tim Browning (University of Bristol), Chantal David (Concordia University), Kannan Soundararajan (Stanford University), LEAD Terence Tao (University of California, Los Angeles)This workshop will be focused on presenting the latest developments in analytic number theory, including (but not restricted to) recent advances in sieve theory, multiplicative number theory, exponential sums, arithmetic statistics, estimates on automorphic forms, and the HardyLittlewood circle method.
Updated on Sep 12, 2016 08:39 AM PDT 
Recent Developments in Harmonic Analysis
Organizers: Michael Christ (University of California, Berkeley), Steven Hofmann (University of Missouri), LEAD Michael Lacey (Georgia Institute of Technology), Betsy Stovall (University of WisconsinMadison), Brian Street (University of WisconsinMadison)Topics for this workshop will be drawn from the main research directions of this conference, including:(1) Restriction, Kakeya, and geometric incidence problems(2) Analysis on nonhomogenous spaces(3) Weighted estimates(4) Quantitative rectifiability and other topics in PDEUpdated on Aug 11, 2016 08:48 AM PDT 
Commutative Algebra and Related Topics
Organizers: LEAD Shihoko Ishii (Tokyo Woman's Christian University), Kazuhiko Kurano (Meiji University), Kenichi Yoshida (Nihon University)The purpose of the school will be to introduce graduate students to foundational results in commutative algebra, with particular emphasis of the diversity of the related topics with commutative algebra. Some of these topics are developing remarkably in this decade and through learning those subjects the graduate students will be stimulated toward future research.
Updated on Sep 30, 2016 07:10 PM PDT 
Subfactors: planar algebras, quantum symmetries, and random matrices
Organizers: LEAD Scott Morrison (Australian National University), Emily Peters (Loyola University), Noah Snyder (Columbia University)Subfactor theory is a subject from operator algebras, with many surprising connections to other areas of mathematics. This summer school will be devoted to understanding the representation theory of subfactors, with a particular emphasis on connections to quantum symmetries, fusion categories, planar algebras, and random matrices
Updated on Dec 06, 2016 12:14 PM PST 
MSRIUP 2017: Solving Systems of Polynomial Equations
Organizers: LEAD Federico Ardila (San Francisco State University), Duane Cooper (Morehouse College), Maria Mercedes Franco (Queensborough Community College (CUNY)), Herbert Medina (Loyola Marymount University), Suzanne Weekes (Worcester Polytechnic Institute)The MSRIUP summer program is designed to serve a diverse group of undergraduate students who would like to conduct research in the mathematical sciences.In 2017, MSRIUP will focus on Solving Systems of Polynomial Equations, a topic at the heart of almost every computational problem in the physical and life sciences. We will pay special attention to complexity issues, highlighting connections with tropical geometry, number theory, and the P vs. NP problem. The research program will be led by Prof. J. Maurice Rojas of Texas A&M University.Students who have had a linear algebra course and a course in which they have had to write proofs are eligible to apply. Due to funding restrictions, only U.S. citizens and permanent residents may apply regardless of funding. Members of underrepresented groups are especially encouraged to apply.Updated on Dec 06, 2016 10:42 AM PST 
Soergel Bimodules
Organizers: LEAD Benjamin Elias (University of Oregon), Geordie Williamson (MaxPlanckInstitut für Mathematik)We will give an introduction to categorical representation theory, focusing on the example of Soergel bimodules, which is a categorification of the IwahoriHecke algebra. We will give a comprehensive introduction to the "tool box" of modern (higher) representation theory: diagrammatics, homotopy categories, categorical diagonalization, module categories, Drinfeld center, algebraic Hodge theory.
Updated on Aug 18, 2016 04:30 PM PDT 
Séminaire de Mathématiques Supérieures 2017: Contemporary Dynamical Systems
Organizers: Sylvain Crovisier (Université de Paris VI (Pierre et Marie Curie)Université de Paris XI (ParisSud)), LEAD Konstantin Khanin (University of Toronto), Andrés Navas Flores (University of Santiago de Chile), Christiane Rousseau (Université de Montréal), Marcelo Viana (Institute of Pure and Applied Mathematics (IMPA)), Amie Wilkinson (University of Chicago)The theory of dynamical systems has witnessed very significant developments in the last decades, including the work of two 2014 Fields medalists, Artur Avila and Maryam Mirzakhani. The school will concentrate on the recent significant developments in the field of dynamical systems and present some of the present main streams of research. Two central themes will be those of partial hyperbolicity on one side, and rigidity, group actions and renormalization on the other side. Other themes will include homogeneous dynamics and geometry and dynamics on infinitely flat surfaces (both providing connections to the work of Maryam Mirzakhani), topological dynamics, thermodynamical formalism, singularities and bifurcations in analytic dynamical systems.
Updated on Aug 17, 2016 03:34 PM PDT 
Positivity Questions in Geometric Combinatorics
Organizers: Eran Nevo (Hebrew University), Raman Sanyal (Freie Universität Berlin)McMullen’s gConjecture from 1970 is a shining example of mathematical foresight that combined all results available at that time to conjure a complete characterization of face numbers of convex simple/simplicial polytopes. The key statement in its verification is that certain combinatorial numbers associated to geometric (or topological) objects are nonnegative. The aim of this workshop is to introduce graduate students to selected contemporary topics in geometric combinatorics with an emphasis on positivity questions. It is fascinating that the dual notions of simple and simplicial polytopes lead to different but equally powerful algebraic frameworks to treat such questions. A key feature of the lectures will be the simultaneous development of these algebraic frameworks from complementary perspectives: combinatorialtopological and convexgeometric. General concepts (such as Lefschetz elements, Hodge–Riemann–Minkowski inequalities) will be developed sidebyside, and analogies will be drawn to concepts in algebraic geometry, Fourier analysis, rigidity theory and measure theory. This allows for entry points for students with varying backgrounds. The courses will be supplemented with guest lectures highlighting further connections to other fields.
Updated on Aug 18, 2016 04:35 PM PDT 
Nonlinear dispersive PDE, quantum many particle systems and the world between
Organizers: Natasa Pavlovic (University of Texas), Nikolaos Tzirakis (University of Illinois at UrbanaChampaign)The purpose of the summer school is to introduce graduate students to the recent developments in the area of dispersive partial differential equations (PDE), which have received a great deal of attention from mathematicians, in part due to ubiquitous applications to nonlinear optics, water wave theory and plasma physics.
Recently remarkable progress has been made in understanding existence and uniqueness of solutions to nonlinear Schrodinger (NLS) and KdV equations, and properties of those solutions. We will outline the basic tools that were developed to address these questions. Also we will present some of recent results on derivation of NLS equations from quantum many particle systems and will discuss how methods developed to study the NLS can be
relevant in the context of the derivation of this nonlinear equation.Updated on Dec 06, 2016 11:34 AM PST 
Automorphic Forms and the Langlands Program
Organizers: LEAD Kevin Buzzard (Imperial College, London)The summer school will be an introduction to the more algebraic aspects of the theory of automorphic forms and representations. One of the goals will be to understand the statements of the main conjectures in the Langlands programme. Another will be to gain a good working understanding of the fundamental definitions in the theory, such as principal series representations, the Satake isomorphism, and of course automorphic forms and representations for groups such as GL_n and its inner forms.
Updated on Sep 02, 2016 11:36 AM PDT 
Connections for Women: geometry and probability in high dimensions
Organizers: LEAD Shiri Artstein (Tel Aviv University), Marianna Csornyei (University of Chicago), Eva Kopecka (LeopoldFranzens Universität Innsbruck), Elisabeth Werner (Case Western Reserve University)This workshop is open to all mathematicians.
Updated on Nov 21, 2016 11:56 AM PST 
Introductory Workshop: phenomena in high dimensions
Organizers: Alexander Koldobsky (University of Missouri), Michel Ledoux (University of Toulouse), Monika Ludwig (Technische Universität Wien), Alain Pajor (Université de Paris Est MarnelaVallée), Stanislaw Szarek (Case Western Reserve University), LEAD Roman Vershynin (University of Michigan)This workshop will consist of several short courses related to high dimensional convex geometry, high dimensional probability, and applications in data science. The lectures will be accessible for graduate students.
Updated on Oct 11, 2016 09:56 AM PDT 
Connections for Women Workshop: Geometric and Topological Combinatorics
Organizers: Federico Ardila (San Francisco State University), Margaret Bayer (University of Kansas), Francisco Santos (University of Cantabria), LEAD Cynthia Vinzant (North Carolina State University)This workshop will feature lectures on a variety of topics in geometric and topological combinatorics, given by prominent women and men in the field. It precedes the introductory workshop and will preview the major research themes of the semester program. There will be a panel discussion focusing on issues particularly relevant to junior researchers, women, and minorities, as well as other social events. This workshop is open to all mathematicians.
Updated on Sep 22, 2016 04:38 PM PDT 
Introductory Workshop: Geometric and Topological Combinatorics
Organizers: Imre Barany (Hungarian Academy of Sciences (MTA)), Anders Björner (Royal Institute of Technology (KTH)), LEAD Ben Braun (University of Kentucky), Isabella Novik (University of Washington), Francis Su (Harvey Mudd College), Rekha Thomas (University of Washington)The introductory workshop will present the main topics that will be the subject of much of the Geometric and Topological Combinatorics Program at MSRI. Key areas of interest are point configurations and matroids, hyperplane and subspace arrangements, polytopes and polyhedra, lattices, convex bodies, and sphere packings. This workshop will consist of introductory talks on a variety of topics, intended for a broad audience.
Updated on Dec 06, 2016 10:35 AM PST 
Geometric and topological combinatorics: Modern techniques and methods
Organizers: Patricia Hersh (North Carolina State University), LEAD Victor Reiner (University of Minnesota Twin Cities), Bernd Sturmfels (UC Berkeley Math Faculty), Frank Vallentin (Universität zu Köln), Günter M. Ziegler (Freie Universität Berlin)This workshop will focus on the interaction between Combinatorics, Geometry and Topology, including recent developments and techniques in areas such as
 polytopes and cell complexes,
 simplicial complexes and higher order graph theory,
 methods from equivariant topology and configuration spaces,
 geometric combinatorics in optimization and social choice theory,
 algebraic and algebrogeometric methods.Updated on Aug 05, 2016 10:20 AM PDT 
Geometric functional analysis and applications
Organizers: Franck Barthe (Université de Toulouse III (Paul Sabatier)), Rafal Latala (University of Warsaw), Emanuel Milman (TechnionIsrael Institute of Technology), Assaf Naor (Princeton University), LEAD Gideon Schechtman (Weizmann Institute of Science)This is the main workshop of the program "Geometric functional analysis and applications". It will focus on the main topics of the program. These include: Convex geometry, Asymptotic geometric analysis, Interaction with computer science, Signal processing, Random matrix theory and other aspects of Probability.Updated on Nov 23, 2016 11:09 AM PST 
Women in Topology
Organizers: Maria Basterra (University of New Hampshire), Kristine Bauer (University of Calgary), LEAD Kathryn Hess (École Polytechnique Fédérale de Lausanne (EPFL)), Brenda Johnson (Union CollegeUnion University)The Women in Topology (WIT) network is an international group of female mathematicians interested in homotopy theory whose main goal is to increase the retention of women in the field by providing both unique collaborative research opportunities and mentorship between colleagues. The MSRI WIT meeting will be organized as an afternoon of short talks from participants, followed by two days of open problem seminars and working groups designed to stimulate new collaborations, as well as to strengthen those already ongoing among the participants
Updated on Feb 22, 2016 09:27 AM PST 
Connections for Women: Enumerative Geometry Beyond Numbers
Organizers: LEAD ChiuChu Melissa Liu (Columbia University)Updated on Nov 03, 2016 02:34 PM PDT 
Introductory Workshop: Enumerative Geometry Beyond Numbers
Organizers: Denis Auroux (University of California, Berkeley), LEAD ChiuChu Melissa Liu (Columbia University), Andrei Okounkov (Columbia University)Updated on Nov 03, 2016 02:44 PM PDT 
Connections for Women: Group Representation Theory and Applications
Organizers: Karin Erdmann (University of Oxford), Julia Pevtsova (University of Washington)This intensive three day workshop will introduce graduate students and recent PhD’s to some current topics of research in Representation Theory. It will consists of a mixture of survey talks on the hot topics in the area given by leading experts and research talks by junior mathematicians covering subjects such as new developments in character theory, group cohomology, representations of Lie algebras and algebraic groups, geometric representation theory, and categorification.
Updated on Aug 17, 2016 03:46 PM PDT 
Introductory Workshop: Group Representation Theory and Applications
Organizers: Robert Guralnick (University of Southern California), Gunter Malle (TU Kaiserslautern)Updated on Jul 27, 2016 12:57 PM PDT 
Structures in Enumerative Geometry
Organizers: Jim Bryan (University of British Columbia), LEAD Davesh Maulik (Massachusetts Institute of Technology), Balazs Szendroi (University of Oxford), Richard Thomas (Imperial College, London)Updated on Nov 03, 2016 03:09 PM PDT 
Representations of Finite and Algebraic Groups
Organizers: Robert Guralnick (University of Southern California), Alexander Kleshchev (University of Oregon), Gunter Malle (TU Kaiserslautern), Gabriel Navarro (University of Valencia), LEAD Pham Tiep (University of Arizona)The workshop will bring together key researchers working in various areas of Group Representation Theory to strengthen the interaction and collaboration between them and to make further progress on a number of
basic problems and conjectures in the field. Topics of the workshop include
 Globallocal conjectures in the representation theory of finite groups
 Representations and cohomology of simple, algebraic and finite groups
 Connections to Lie theory and categorification, and
 Applications to group theory, number theory, algebraic geometry, and combinatorics.Updated on Aug 05, 2016 10:00 AM PDT
Past all workshops

Workshop Bay Area Differential Geometry Seminar (BADGS) Winter 2016
Organizers: David Bao (San Francisco State University), Joel Hass (University of California, Davis), LEAD David Hoffman (Stanford University), Rafe Mazzeo (Stanford University), Richard Montgomery (University of California, Santa Cruz)The Bay Area Differential Geometry Seminar meets 3 times each year and is a 1day seminar on recent developments in differential geometry and geometric analysis, broadly interpreted. Typically, it runs from midmorning until late afternoon, with 34 speakers. Lunch will be available and the final talk will be followed by dinner.
Updated on Nov 01, 2016 10:39 AM PDT 
Workshop Circle on the Road
Organizers: Selin Kalayciglu (The Center for Mathematical Talent), Berna Ok (The Center for Mathematical Talent), LEAD Diana White (MSRI  Mathematical Sciences Research Institute), Brandy Wiegers (Central Washington University)Bringing together new and experienced leaders of Math Circles and other similar outreach programs, this year’s Circle on the Road will include discussions, presentations, and opportunities to facilitate different mathematical problems. In addition, some informal STEM education researchers will join us to further our research and evaluation efforts.
Updated on Sep 02, 2016 10:24 AM PDT 
Workshop The 2016 BlackwellTapia Conference and Award Ceremony
Organizers: Carlos CastilloChavez, Sujit Ghosh (NC State University), Suzanne Lenhart (National Institute for Mathematical and Biological Synthesis NIMBioS), Kelly Sturner (National Institute for Mathematical and Biological Synthesis NIMBioS), AbdulAziz YakubuUpdated on Oct 19, 2016 04:52 PM PDT 
Workshop Geometry of mapping class groups and Out(Fn)
Organizers: Yael AlgomKfir (University of Haifa), LEAD Mladen Bestvina (University of Utah), Richard Canary (University of Michigan), Gilbert Levitt (Université de Caen)A fourday workshop with researchlevel talks on the latest advances in the geometry of mapping class groups and Out(F_n), and spaces on which they act.
Updated on Nov 28, 2016 02:35 PM PST 
Workshop Groups acting on CAT(0) spaces
Organizers: Ian Agol (University of California, Berkeley), PierreEmmanuel Caprace (Université Catholique de Louvain), Koji Fujiwara (Kyoto University), Alessandra Iozzi (ETH Zürich), LEAD Michah Sageev (TechnionIsrael Institute of Technology)The theme of the workshop is algebraic, geometric and analytical aspects of groups that act by isometries on spaces of nonpositive curvature known as CAT(0) spaces. The world of CAT(0) spaces includes classical spaces such as symmetric spaces and buildings, as well as more avantgarde arrivals, such as CAT(0) cube complex. The workshop will bring together researchers studying various aspects of such groups and spaces to discuss recent developments and chart new directions in the field.
Updated on Oct 07, 2016 09:40 AM PDT 
Workshop Math Circle  Mentorship and Partnership Program
Organizers: Diana White (MSRI  Mathematical Sciences Research Institute), Brandy Wiegers (Central Washington University)Updated on Sep 02, 2016 09:58 AM PDT 
Workshop Introductory Workshop: Geometric Group Theory
Organizers: Martin Bridson (University of Oxford), Benson Farb (University of Chicago), LEAD zlil sela (Hebrew University), Karen Vogtmann (University of Warwick)This will be an introductory workshop to the MSRI jumbo program Geometric Group Theory being held during the Fall Semester of 2016. The purpose of the workshop is to provide an overview of key areas of research to be covered in the program, including an introduction to open problems of current interest.
Updated on Sep 19, 2016 11:03 AM PDT 
Workshop Connections for Women: Geometric Group Theory
Organizers: LEAD Ruth Charney (Brandeis University), Indira Chatterji (Université Nice SophiaAntipolis), Mark Feighn (Rutgers University), Talia Fernós (University of North Carolina)This threeday workshop will feature talks by six prominent female mathematicians on a wide range of topics in geometric group theory. Each speaker will give two lectures, separated by a breakout session during which participants will meet in small groups to discuss ideas presented in the first lecture. The workshop is open to all mathematicians.Updated on Sep 19, 2016 11:02 AM PDT 
Summer Graduate School Chip Firing and Tropical Curves
Organizers: LEAD Matthew Baker (Georgia Institute of Technology), David Jensen (University of Kentucky), 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 Aug 30, 2016 03:39 PM PDT 
Summer Graduate School Electronic Structure Theory
Organizers: LEAD Lin Lin (University of California, Berkeley), Jianfeng Lu (Duke University), James Sethian (University of California, Berkeley)Ab initio or first principle electronic structure theories, particularly represented by KohnSham density functional theory (KSDFT), have been developed into workhorse tools with a wide range of scientific applications in chemistry, physics, materials science, biology etc. What is needed are new techniques that greatly extend the applicability and versatility of these approaches. At the core, many of the challenges that need to be addressed are essentially mathematical. The purpose of the workshop is to provide graduate students a selfcontained introduction to electronic structure theory, with particular emphasis on frontier topics in aspects of applied analysis and numerical methods.
Updated on Jul 27, 2016 04:16 PM 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 Jul 22, 2016 02:27 PM PDT 
Summer Graduate School Mixed Integer Nonlinear Programming: Theory, algorithms and applications
Organizers: Francisco Castro (University of Sevilla), Elena Fernandez (Universitat Politècnica de Catalunya), Justo Puerto (University of Sevilla)This school is oriented to the presentation of theory, algorithms and applications for the solution of mixed integer nonlinear problems (MINLP). This type of problems appears in numerous application areas where the modelization of nonlinear phenomena with logical constraints is important; we must remember here the memorable phrase “the world is nonlinear”. Nowadays the theoretical aspects of this area are spread in a number of recent papers which makes it difficult, for nonspecialist, to have a solid background of the existing results and new advances in the field. This school aims to organize and present this material in an organized way. Moreover, it also pursues to link theory with actual applications. In particular, remarkable applications can be found in air traffic control agencies, the air companies, the electric power generation companies, the chemical complex units, the analysis of financial products usually associated with risk dealing and in the algorithms in the statistical field and artificial intelligence as for instance artificial neural networks, or supporting vector machines, among many others.
Updated on May 17, 2016 10:51 AM PDT 
Summer Graduate School Harmonic Analysis and Elliptic Equations on real Euclidean Spaces and on Rough Sets
Organizers: LEAD Steven Hofmann (University of Missouri), Jose Maria Martell (Instituto de Ciencias Matematicas (ICMAT))The goal of the workshop is to present harmonic analysis techniques in $R^n$ (the ``flat" setting), and then to show how those techniques extend to much rougher settings, with application to the theory of elliptic equations. Thus, the subject matter of the workshop will introduce the students to an active, current research area: the interface between harmonic analysis, elliptic PDE, and geometric measure theory.
Updated on Aug 05, 2016 10:47 AM PDT 
MSRIUP MSRIUP 2016: Sandpile Groups
Organizers: Federico Ardila (San Francisco State University), Duane Cooper (Morehouse College), Maria Mercedes Franco (Queensborough Community College (CUNY)), Herbert Medina (Loyola Marymount University), LEAD 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 2016 program will be led by Prof. Luis GarciaPuente of Sam Houston State University.
Updated on Aug 23, 2016 12:51 PM PDT 
Summer Graduate School Seminaire de Mathematiques Superieures 2016: Dynamics of Biological Systems
Organizers: Thomas Hillen (University of Alberta), Mark Lewis (University of Alberta), Yingfei Yi (University of Alberta)The purpose of this summer school is to focus on the interplay of dynamical and biological systems, developing the rich connectionbetween science and mathematics that has been so successful to date. Our focus will be on understanding the mathematical structure of dynamical systems that come from biological problems, and then relating the mathematical structures back to the biology to provide scientific insight. We will focus on five key areas: complex bionetworks, multi scale biological dynamics, biological waves, nonlinear dynamics of pattern formation, and disease dynamics. For each of the five key areas, we will invite 23 world leaders who are also excellent communicators to deliver a series of 24 onehour lectures. We expect an average of eight hours of lecture per subject area, spread over approximately two weeks.
Updated on Nov 11, 2015 03:54 PM PST 
Workshop Geometric Flows in Riemannian and Complex Geometry
Organizers: Tobias Colding (Massachusetts Institute of Technology), LEAD John Lott (University of California, Berkeley), Natasa Sesum (Rutgers University)The workshop will concentrate on parabolic methods in both Riemannian and complex geometry. The topics will include
 Ricci flow. Analytic questions about Ricci flow in three dimensions. Possible applications of Ricci flow to 4manifold topology. Ricci flow in higher dimensions under curvature assumptions.
 KählerRicci Flow. Applications to the KählerEinstein problem. Connections to the minimal model program. Study of KählerRicci solitons and limits of KählerRicci flow.
 Mean curvature flow. Singularity analysis. Generic mean curvature flow.
 Other geometric flows such as Calabi flow and pluriclosed flow.
Updated on May 19, 2016 10:40 AM PDT 
Workshop Bay Area Differential Geometry Seminar (BADGS) Spring 2016
Organizers: David Bao (San Francisco State University), Joel Hass (University of California, Davis), David Hoffman (Stanford University), Rafe Mazzeo (Stanford University), Richard Montgomery (University of California, Santa Cruz)The Bay Area Differential Geometry Seminar meets 3 times each year and is a 1day seminar on recent developments in differential geometry and geometric analysis, broadly interpreted. Typically, it runs from midmorning until late afternoon, with 34 speakers. Lunch will be available and the final talk will be followed by dinner.
Updated on Mar 30, 2016 10:12 AM PDT 
Workshop Bay Area Discrete (BAD) Math Day 32
Organizers: Federico Ardila (San Francisco State University), Ralucca Gera (Naval Postgraduate School), Elizabeth Gross (San Jose State University), Angela Hicks (Stanford University), Carol Meyers (Lawrence Livermore National Laboratory), Rick Scott (University of Santa Clara), Erik Slivenken (University of California, Davis), Ellen Veomett (Saint Mary's College of California), Yan Zhang (University of California, Berkeley)Bay Area Discrete Math Days are oneday meetings aimed at facilitating communication between researchers and graduate students of discrete mathematics around the San Francisco Bay Area.These days happen semiannually and strive to create an informal atmosphere to talk about discrete mathematics. The term "discrete mathematics" is chosen to include at least the following topics: Algebraic and Enumerative Combinatorics, Discrete Geometry, Graph Theory, Coding and Design Theory, Combinatorial Aspects of Computational Algebra and Geometry, Combinatorial Optimization, Probabilistic Combinatorics, and Combinatorics in Mathematical Physics
Updated on Feb 19, 2016 03:13 PM PST 
Workshop Hot Topics: Cluster algebras and wallcrossing
Organizers: LEAD Mark Gross (University of Cambridge), Paul Hacking (University of Massachusetts, Amherst), Sean Keel (University of Texas), Lauren Williams (University of California, Berkeley)Cluster algebras were introduced in 2001 by Fomin and Zelevinsky to capture the combinatorics of canonical bases and total positivity in semisimple Lie groups. Since then they have revealed a rich combinatorial and grouptheoretic structure, and have had significant impact beyond these initial subjects, including string theory, algebraic geometry, and mirror symmetry. Recently Gross, Hacking, Keel and Kontsevich released a preprint introducing mirror symmetry techniques into the subject which resolved several longstanding conjectures, including the construction of canonical bases for cluster algebras and positivity of the Laurent phenomenon. This preprint reformulates the basic construction of cluster algebras in terms of scattering diagrams (or wallcrossing structures). This leads to the proofs of the conjectures and to new constructions of elements of cluster algebras. But fundamentally they provide a new tool for thinking about cluster algebras.
The workshop will bring together many of the different users of cluster algebras to achieve a synthesis of these new techniques with many of the different aspects of the subject. There will be lecture series on the new techniques, and other lecture series on connections with Lie theory, quiver representation theory, mirror symmetry, string theory, and stability conditions.Updated on Apr 15, 2016 11:14 AM PDT 
Workshop Kähler Geometry, Einstein Metrics, and Generalizations
Organizers: Olivier Biquard (École Normale Supérieure), Simon Donaldson (Imperial College, London), Gang Tian (Princeton University), LEAD Jeff Viaclovsky (University of WisconsinMadison)The workshop will integrate elements from complex differential geometry with Einstein metrics and their generalizations. The topics will include
 Existence of KählerEinstein metrics and extremal Kähler metrics. Notions of stability in algebraic geometry such as Chow stability, Kstability, bstability, and polytope stability. KählerEinstein metrics with conical singularities along a divisor.
 CalabiYau metrics and collapsed limit spaces. Connections with physics and mirror symmetry.
 Einstein metrics and their moduli spaces, εregularity, noncompact examples such as ALE, ALF, and PoincaréEinstein metrics. Generalizations of the Einstein condition, such as Bachflat metrics and Ricci solitons.
 SasakiEinstein metrics and metrics with special holonomy. New examples and classification problems.
Updated on Apr 05, 2016 12:06 PM PDT 
Workshop Critical Issues in Mathematics Education 2016: Observing, Evaluating and Improving Mathematics Teaching from the Early Grades through the University
Organizers: Hyman Bass (University of Michigan), Michael Driskill (Math for America ), LEAD Mark Hoover (University of Michigan), LEAD Deborah Hughes Hallett (University of Arizona), Danny Martin (University of Illinois at Chicago), Miriam Sherin (Northwestern University)The 2016 CIME workshop focuses directly on the teaching of mathematics at the university and precollege levels. Teaching is not easy to examine in disciplined ways because it is so familiar and seems so obvious. Although teaching shapes students’ opportunities to learn, what teachers are actually doing is difficult to observe and describe. This impedes work on improving teaching.
This workshop will offer the opportunity to study and talk closely about mathematics teaching through close observation and discussion of video tapes in a setting that will bring together professionals with a range of perspectives, knowledge, experience, and orientations. The goal of the workshop is to develop language and methods for describing, analyzing and evaluating what can be seen in the classroom, with the ultimate goal of helping us shape and improve teaching — our own and more broadly.
Four questions structure the highly interactive design of the workshop: What skills are needed for observing teaching in ways that inform improvement efforts? What is involved in observing teaching? What is the teacher saying and doing? What are students saying and doing? What is the mathematics at play? What else is happening? And what do these imply for teaching?
 How can the practice and use of observation be structured in order to improve mathematics teaching? What approaches are available? What are their strengths and weaknesses?
 Observationbased assessment of teaching: Why, what, and how? What are the risks?
 How can we develop and sustain a crossprofessional community that observes and evaluates teaching in such a way that different communities communicate with and learn from each other to support a cycle of improvement in the teaching of mathematics at all levels?
The workshop will provide a library of videos of mathematics teaching for study. In addition, participants are encouraged to submit a short video clip of their own teaching, together with a brief background commentary. These videos will provide a central text for our collective work on discussing and assessing mathematics teaching.
Updated on Apr 08, 2016 11:41 AM PDT 
Workshop Bay Area Differential Geometry Seminar (BADGS) Spring 2016
Organizers: David Bao (San Francisco State University), Joel Hass (University of California, Davis), David Hoffman (Stanford University), Rafe Mazzeo (Stanford University), Richard Montgomery (University of California, Santa Cruz)The Bay Area Differential Geometry Seminar meets 3 times each year and is a 1day seminar on recent developments in differential geometry and geometric analysis, broadly interpreted. Typically, it runs from midmorning until late afternoon, with 34 speakers. Lunch will be available and the final talk will be followed by dinner.
Updated on Feb 01, 2016 03:50 PM PST 
Workshop NSF Day at Pasadena City College
Organizers: LisaJoy Zgorski (National Science Foundation)NSF Day at Pasadena City College will discuss funding for researchers at 2 and 4year institutions.
Updated on Jan 12, 2016 04:59 PM PST 
Workshop Introductory Workshop: Modern Riemannian Geometry
Organizers: LEAD Tobias Colding (Massachusetts Institute of Technology), John Lott (University of California, Berkeley), Jeff Viaclovsky (University of WisconsinMadison)The week will be devoted to an introduction to modern techniques in Riemannian geometry. This is intended to help graduate students and younger researchers get a headstart, in order to increase their participation during the main semester programs and research lectures. To increase outreach, the week will focus on Riemannian geometry and should be largely accessible. Some minicourses on topics of recent interest will be included. The workshop will also have semiexpository lectures dealing with aspects of spaces with curvature bounded from below, since such spaces will occur throughout the semester. We expect that many Berkeley mathematicians and students will participate in the introductory workshop.
Updated on Mar 17, 2016 11:44 AM PDT 
Workshop Connections for Women: Differential Geometry
Organizers: Christine Breiner (Fordham University), LEAD Natasa Sesum (Rutgers University)The purpose of this meeting is to help junior female researchers to become familiar with the focus topics of the main MSRI program, and also for the junior researchers to have an opportunity to get acquainted with more senior women researchers in differential geometry.
This workshop is open to all mathematicians.
Updated on Jan 26, 2016 11:08 AM PST 
Workshop Bay Area Differential Geometry Seminar (BADGS) Winter 2015
Organizers: David Bao (San Francisco State University), Joel Hass (University of California, Davis), LEAD David Hoffman (Stanford University), Rafe Mazzeo (Stanford University), Richard Montgomery (University of California, Santa Cruz)The Bay Area Differential Geometry Seminar meets 3 times each year and is a 1day seminar on recent developments in differential geometry and geometric analysis, broadly interpreted. Typically, it runs from midmorning until late afternoon, with 34 speakers. Lunch will be available and the final talk will be followed by dinner.
Updated on Oct 23, 2015 02:20 PM PDT 
Workshop Workshop on Combinatorial Games, in honor of Elwyn Berlekamp's 75th Birthday
Organizers: David Eisenbud (MSRI  Mathematical Sciences Research Institute), LEAD Richard Guy (University of Calgary), Thane Plambeck (Counterwave, Inc.), Aaron Siegel (Twitter, Inc.)A twoday workshop with researchlevel talks on combinatorial game theory, one of the fields to which Elwyn Berlekamp has made enormous contributions.
Updated on Oct 23, 2015 03:01 PM PDT 
Workshop Modern Math Workshop 2015
Organizers: LEAD Hélène Barcelo (MSRI  Mathematical Sciences Research Institute), Helen Chamberlin (Ohio State University), Ricardo Cortez (Tulane University), Sujit Ghosh (NC State University), Dagan Karp (Harvey Mudd College), Anne Pfister (MSRI  Mathematical Sciences Research Institute), Christian Ratsch (University of California, Los Angeles), Ivelisse M. Rubio (University of Puerto Rico), Mariel Vazquez (University of California, Davis), Talithia Williams (Harvey Mudd College)As part of the Mathematical Sciences Collaborative Diversity Initiatives, nine mathematics institutes are pleased to host their annual SACNAS preconference event, the 2015 Modern Math Workshop (MMW). The Modern Math Workshop is intended to encourage minority undergraduates to pursue careers in the mathematical sciences and to assist undergraduates, graduate students and recent PhD’s in building their research networks.
Updated on Oct 12, 2015 11:12 AM PDT 
Workshop New challenges in PDE: Deterministic dynamics and randomness in high and infinite dimensional systems
Organizers: Jonathan Mattingly (Duke University), LEAD Andrea Nahmod (University of Massachusetts, Amherst), Pierre Raphael (Université Nice SophiaAntipolis), Luc ReyBellet (University of Massachusetts, Amherst), Daniel Tataru (University of California, Berkeley)This workshop serves to bring into focus the fundamental aim of the jumbo program by both a) showcasing the spectacular progress in recent years in the study of both nonlinear dispersive as well as stochastic partial differential equations and b) bringing to the fore the key challenges for the future in quantitatively analyzing the dynamics of solutions arising from the flows generated by deterministic and nondeterministic evolution differential equations, or dynamical evolution of large physical systems.
During the two weeks long workshop, we intertwine talks on a wide array of topics by some of the key researchers in both communities and aim at highlighting the most salient ideas, proofs and questions which are important and fertile for `crosspollination’ between PDE and SPDE. Topics include: Global dynamics and singularity formation for geometric and physical nonlinear wave and dispersive models (critical and supercritical regimes); dynamics of infinite dimensional systems (critical phenomena, multi scale dynamics and metastability); symplectic structures of infinite dimensional dynamical systems; randomization and long time dynamics, invariant Gibbs and weighted Wiener measures; derivation of effective dynamics in quantum systems; weak turbulence phenomena; optimization and learning algorithms: distributed, stochastic and parallel.
Updated on Nov 06, 2015 10:49 AM PST 
Workshop Theory of Neural Computation
Organizers: Dmitri Chklovskii (Simons Foundation), David Eisenbud (MSRI  Mathematical Sciences Research Institute), Gary Marcus (New York University), LEAD Bruno Olshausen (University of California, Berkeley), Christos Papadimitriou (University of California, Berkeley), Terrence Sejnowski (Salk Institute for Biological Studies), Fritz Sommer (University of California, Berkeley)The theme of this workshop is on bringing theory into the study of neural networksthose in brains and those in machines. We will soon have the capability to monitor activity and structure in the brain at unprecedented scales, but what will these data tell us? It is unlikely that we will gain insight without some theoretical framework to guide our thinking of what to look for, and why. Similarly, neural network models can now perform feats of language translation and pattern recognition far beyond what was possible a few years ago; but they have yet to shed new light on neurobiological mechanisms in part because there is only a limited theory of such computations.
What are likely candidates for such theories? Do they already exist? And what is needed to more tightly integrate theoretical frameworks with empirical approaches?
Updated on Mar 23, 2016 09:29 AM PDT