Commutative algebra was born in the 19th century from algebraic geometry, invariant theory, and number theory. Today it is a mature field with activity on many fronts.

The year-long program will highlight exciting recent developments in core areas such as free resolutions, homological and representation theoretic aspects, Rees algebras and integral closure, tight closure and singularities, and ...

The theory of infinite dimensional dynamical systems is a vibrant field of mathematical development and has become central to the study of complex physical, biological, and societal processes. The most immediate examples of a theoretical nature are found in the interplay between invariant structures and the qualitative behavior of solutions to evolutionary partial differential equations (PDEs) of ...

This year-long SAMSI program focuses on fundamental methodological questions of statistics, mathematics and computer science posed by massive datasets, with applications to astronomy, high energy physics, and the environment. Serious challenges posed by massive datasets have to do with "scalability" and "data streaming". Techniques developed for small or moderate-sized datasets simply do not trans...

The program will focus on issues of mathematical and statistical theory and methodology that must be addressed to improve evidence-based healthcare decision-making. It will be diverse in terms of science and participants. The goal is to strengthen the link between data and decisions, a path that includes major challenges in mathematical modeling and statistical inference. The program will highligh...

The Virtual Institute of Mathematical and Statistical Sciences is a new partnership that connects two of the US Mathematical Sciences Institutes (SAMSI and ICERM) with several mathematics and statistics institutes in India: The Indian Statistical Institute (ISI), Chennai Mathematical Institute (CMI), the Indian Institute of Science (IIS), The Institute of Mathematical Sciences (IMSc) and the Tata...

Events for undergraduate and graduate students.

Over the last few decades noncommutative algebraic geometry (in its many forms) has become increasingly important, both within noncommutative algebra/representation theory, as well as having significant applications to algebraic geometry and other neighbouring areas. The goal of this program is to explore and expand upon these subjects and their interactions. Topics of particular interest include ...

This program is intended to enhance communications between analysts and geometers by focusing on recent developments on the borderline of these subjects. There will be an active program of research activities, seminars and workshops throughout the three months.

http://www.mbi.osu.edu/eduprograms/undergrad2013.html

Being central to gas dynamics, the Boltzmann equation describes gas flows at the microscopic level in regimes from free molecular to continuum. Its descriptive power makes it indispensable for predicting non-continuum phenomena in gases when experimental data is limited or not available. The Boltzmann equation is used in a wide range of applications, from external aerodynamics and thruster plume f...

The first four days, from Tuesday 4 June to Saturday 7 June, will be spent on training courses concerning structural and functional neuroimaging data analysis, taught by leading researchers, to bring everyone up to speed on currently used methodology.

The second week, from Sunday 9 June to Friday 14 June, will combine working groups (in the afternoons) with a workshop (in the mornings). Twenty ...

This workshop will be devoted to discussing extensions of the Langlands program
to nonlinear groups in some generality. An important example of such group is the
metaplectic group: the two-fold cover the symplectic group over a local field....

This three week mini-research program will focus on statistical and computational challenges associated with analyzing exoplanet data from NASA's Kepler mission.

This workshop will bring practicing social scientists and statisticians who study
exponential random graph models and use these models into contact with an
emerging group of mathematicians who use a variety of new tools, including
graph limit theory and tools from statistical mechanics such as spin glasses....

The 2013 Summer@ICERM program is designed for a select group of 10-12 undergraduate scholars. Students will work in small groups of two or three, supervised by a faculty advisor and aided by a teaching assistant. A variety of activities around various research themes will allow participants to engage in collaborative research, communicate and examine their findings in formal and informal settings,...

Cosponsored by MBI and the OSU Institute for Population Research (IPR).

Nathan Keyfitz (1913--2010) made fundamental and highly influential contributions to demography over a long and productive career. His work was characterized by an elegance of approach and a depth of insight that came from a deep recognition of the interplay among models, data, and interpretation. This symposium, marking th...

The Second Pacific Rim Mathematical Association (PRIMA) Congress will be held at Shanghai Jiao Tong University in China, on June 24-28, 2013.

PRIMA is an association of mathematical sciences institutes, departments and societies from around the Pacific Rim, established in 2005 with the aim of promoting and facilitating the development of the mathematical sciences throughout the Pacific Rim regi...

This workshop will center around the abelian sandpile model and related chip-firing
games on graphs, including generalizations to higher dimension, abelian networks,
and pattern formation.

The Idea-Lab invites 20 postdoctoral researchers to the institute for a week during the summer. The program will start with brief participant presentations on their research interests in order to build a common understanding of the breadth and depth of expertise. Throughout the week, two or more leading senior researchers will give comprehensive overviews of their research topics. Organizers will ...

This workshop is designed to strengthen the shape modeling community by bringing together women researchers at various stages in their careers (from graduate student to senior researcher) to foster research collaboration and mentorship. Participants will spend one week working together in small groups to solve one of four open questions in shape modeling....

The summer school will involve leaders from Computer Vision and experts from Mathematics, Statistics, Engineering and Computer Science who are interested in Vision. Computer Vision is a rapidly developing interdisciplinary field with an increasing number of practical applications such as automated cars, visual surveillance, and aids for the visually impaired. Its main goal is the automatic underst...

This workshop will be devoted to outstanding problems that
are in the intersection of frame theory and geometry.

In the last decade, methods from modern discrete mathematics have been used with great success for solving a wide range of biological problems. Graph theory, Boolean networks, polynomial dynamical systems (including many agent-based models), Petri nets, Groebner bases and other elements from algebraic geometry and modern algebra have rapidly gained popularity and have become essential tools for ma...

A changing world raises great challenges since we need to take steps that either reduce the rate of global change or that manage resources in the face of global change. Both steps require making predictions, which requires theory. But the systems involved are truly complex, so the theory must use mathematics. Despite the long history of mathematical approaches in ecology and other environmental sc...

The LDHD program is devoted to the development of methodological, theoretical, and computational treatment of high-dimensional mathematical and statistical models.

This SAMSI program will bring together statisticians, computational mathematicians and social scientists to develop new methodology and applications in the context of modern social science datasets.

This workshop will be devoted to the study of geometric properties of convex
bodies based on information about sections of these bodies.

This workshop will be devoted to the interplay between stability
theory and computable model theory.

In the past two decades, the theory of optimal transportation has emerged as a fertile field of inquiry, and a diverse tool for exploring applications within and beyond mathematics. This transformation occurred partly because long-standing issues could finally be resolved, but also because unexpected connections emerged which linked these questions to classical problems in geometry, partial differ...

The study of Einstein's general relativistic gravitational field equation, which has for many years played a crucial role in the modeling of physical cosmology and astrophysical phenomena, is increasingly a source for interesting and challenging problems in geometric analysis and PDE. In nonlinear hyperbolic PDE theory, the problem of determining if the Kerr black hole is stable has sparked a flur...

This workshop will focus on the extension of the rigorous computational tools used
in finite dimensional dynamical systems to the infinite dimensional case.

The workshop is intended to broaden the scientific perspective of young researchers (primarily junior faculty, postdocs, and senior graduate students) in mathematical biology and to encourage interactions with other scientists.

Workshop activities include plenary talks and poster sessions, as well as group discussions on issues relevant to mathematical biologists. Several abstracts will be chos...

The demands of modern science and engineering have placed us in a position where it is vital to develop methods for qualitative analysis and recognition problems in contemporary contexts, including data (finite metric spaces as samples from experiments, surveys, or sensors), networks (internet traffic, gene regulation, coordinated robotics, communications), and dynamics (systems equipped with only...

Recent work has sought to re-examine the link between DFT, semiclassical approximations, and functional analysis. Numerical and heuristic results suggest a close (but subtle) underlying link. Understanding of these links, and using them to build new and more powerful approximations, could have tremendous impact in modern electronic structure calculations. The aim of this workshop is to reunite the...

This workshop will be devoted to studying definability and decidability questions
in number theory, more specifically over rational numbers and their algebraic
extensions, as well as over rings of functions of natural interest....

The program focuses on the recent impact of computation and experiment on the study of the pure mathematics sides of topology, geometry, and dynamics. Specific areas include 3-dimensional topology, the study of locally symmetric spaces, low-dimensional dynamics, and geometric group theory. Included are areas where computation has not yet had an impact, but might do so in the near future.

This program will bring together researchers from mathematics, physics, materials science, engineering, chemistry, biology, computer sciences, and other sciences with the goal to understand the mathematical structure of continuum models governing material properties as well as the electronic, atomic, and molecular structure of such new materials. This program is part of the Initiative "Mathematics...

Creating usable models for the sustainability of ecosystems has many mathematical challenges. Ecosystems are complex because they involve multiple interactions among organisms and between organisms and the physical environment, at multiple spatial and temporal scales, and with multiple feedback loops making connections between and across scales. The issue of scaling and deriving models at one scal...

Although evolution is often thought of as a slow process that proceeds on the time scale of millennia, in fact there are many very rapid evolutionary processes, often called contemporary evolution, that have profound effects on human health and welfare. For example: (1) In agriculture, plants and pests can rapidly evolve resistance to herbicides and pesticides, respectively; (2) The influenza viru...

Natural resources, such as forests, fish, land, and biodiversity, while renewable, are being pushed to the brink and beyond by sectorial mismanagement and the resulting cumulative impacts on the macroscopic environmental and ecosystem conditions. For many, the solution is to take a more holistic or ecosystem-based approach to management (EBM).

While this approach seems intuitive, there are many...

This one semester program will bring together researchers from mathematics, imaging technology, biology, and the life sciences to explore new ways to bridge these diverse disciplines, and to facilitate the use of mathematics for key problems in imaging, medicine, and the life sciences in general.

The hardware side of imaging has been undergoing a revolution in the past 15 years with the advent ...

The goal of this workshop is to bring together mathematicians, physicists, and social, information, and computer scientists to explore the dynamics of social learning and cultural evolution. Of particular interest will be ways of using data from social media and online experiments to address questions of interest....

The frontier of biology and medicine is defined by our ability to decipher the mechanisms that underlie basic phenomena. These phenomena may include cell motility and migration, cell division, cell reprogramming, and cell communication that may be manifested in a wide range of questions in development and disease. Thus, examples from stem cell, developmental, neural, and cancer biology have the po...

Ophthalmology has become increasingly subspecialized and technologically advanced, making it impossible to be an expert in every area and highlighting the need for multidisciplinary collaborations with engineers and mathematicians. The goal of this workshop is to encourage communication between engineers, mathematicians, scientists, and clinicians to improve patient care and scientific advancement...

Mathematical models have been giving remarkable contributions in advancing knowledge and supporting decisions in several branches of medicine.

Some progress in applying predictive mathematical tools has been made, for example: surgical planning of the Total Cavopulmonary Connection in cardiac pediatrics is, in some hospitals, based on extensive numerical simulation. However, despite the signifi...

The program aims to further the flourishing interaction between model theory and other parts of mathematics, especially number theory and arithmetic geometry. At present the model theoretical tools in use arise primarily from geometric stability theory and o-minimality. Current areas of lively interaction include motivic integration, valued fields, diophantine geometry, and algebraic dynamics....

Algebraic topology touches almost every branch of modern mathematics. Algebra, geometry, topology, analysis, algebraic geometry, and number theory all influence and in turn are influenced by the methods of algebraic topology. The goals of this 2014 program at MSRI are:

Bring together algebraic topology researchers from all subdisciplines, reconnecting the pieces of the field

Identify the fun...

Since its introduction in the 1990s, the theory of rough paths has established itself as a powerful tool to analyze a variety of stochastic systems that are too “rough” for their solutions to exist in the class of functions that can be handled by classical analytical methods....

The study of computational problems on graphs has long been a central area of research in computer science. However, recent years have seen qualitative changes in both the problems to be solved and the tools available to do so. Application areas such as computational biology, the web, social networks, and machine learning give rise to large graphs and complex statistical questions that demand new ...

This workshop will emphasize an integrated approach to understanding cancer initiation, progression, metastasis, and treatment. Our ultimate goals will be to critically examine and discuss approaches for improving clinical “standards of care” and to foster new investigative directions in applied cancer research that involve the right level of detail in emerging mathematical and physical appro...

This workshop addresses the broad class of imaging problems in the life sciences that rely on shape or geometry to characterize biological processes and parameters. Of course, the strategy of observing shape and its relationships to biology is a classical undertaking, but in recent years, the availability of 3D imaging and better computational tools has opened up new possibilities for systematic, ...

This workshop will address various topics in the theory, implementation, and practice of SG methods, possibly including the following: applications to nonconvex problems and regularized objectives; parallel implementations; hybridization of SG methods with other optimization techniques; and use of SG methods in deep learning, latent variable models, and other settings....

This workshop will be devoted to questions relating to postcritically finite (PCF) rational maps.

The application of algebraic geometry to problems in incidence geometry has been a rather surprising development. This interdisciplinary work is still at its infancy, and a major goal of this program is to provide a venue for deepening and widening the interaction between combinatorial geometry, algebraic geometry, Fourier analysis, and hopefully other mathematical disciplines too....

Merging imaging modalities is increasingly important for biomedical questions related to time and space scales including function and anatomy. Integrating modalities from multiple scales can assist with understanding development and function, disease, diagnosis and treatment. This workshop will bring together researchers who are attempting to combine and integrate different imaging modalities to b...

This workshop focuses on the challenges presented by the analysis and visualization of large data sets that are collected in biomedical imaging, genomics and proteomics. The sheer size of data (easily in the range of terabytes, and growing) requires computationally efficient techniques for the sampling, representation, organization, and filtering of data; ideas and techniques from signal processin...

This workshop will gather together experts in the core related fields in applied and computational mathematics to exchange ideas regarding the development of robust and efficient numerical schemes that preserve the key physics of these models, and to study the development of fast and efficient linear and nonlinear solvers that are scalable and optimal. This workshop will also target young research...

The branches of number theory most directly related to the arithmetic of automorphic forms have seen much recent progress, with the resolution of many longstanding conjectures. These breakthroughs have largely been achieved by the discovery of new geometric techniques and insights. The goal of this program is to highlight new geometric structures and new questions of a geometric nature which seem ...

The fundamental aims of geometric representation theory are to uncover the deeper geometric and categorical structures underlying the familiar objects of representation theory and harmonic analysis, and to apply the resulting insights to the resolution of classical problems. One of the main sources of inspiration for the field is the Langlands philosophy, a vast nonabelian generalization of the Fo...

This program is centered on fundamental issues in mathematical fluid dynamics, scientific computation, and applications including rigorous and reliable mathematical estimates of physically important quantities for solutions of the partial differential equations that are believed, in many situations, to accurately model the essential physical phenomena....

The program will focus on the deformation theory of geometric structures on manifolds, and the resulting geometry and dynamics. This subject is formally a subfield of differential geometry and topology, with a heavy infusion of Lie theory. Its richness stems from close relations to dynamical systems, algebraic geometry, representation theory, Lie theory, partial differential equations, number theo...