428MSRI0Program2010-08-162010-12-17http://www.msri.org/calendar/programs/ProgramInfo/259/show_program 429MSRI0Program2010-08-162010-12-17http://www.msri.org/calendar/programs/ProgramInfo/260/show_program 575SAMSI0Program2010-08-292011-08-28http://www.samsi.info/programs/2010cnprogram.shtmlThis year-long SAMSI program focuses on the emerging area of network science. This highly interdisciplinary field is characterized by novel interactions in the mathematical sciences occurring at the interface of applied mathematics, statistics, computer science, and statistical physics, as well as those areas with network-oriented thrusts in biology, computer networks, engineering, and the social sciences. The program is built around four interconnected research foci: •network modeling and inference •flows on networks •network models for disease transmission •dynamics of networks Through empirical, applied and analytical approaches, the researchers in the program will work toward a better understanding of the networked systems we encounter in nature or build for technological purposes.596IMA0Annual Program2010-09-012011-06-30http://www.ima.umn.edu/2010-2011/The program focuses on the role of numerical analysis, simulation and scientific computing for understanding and illuminating our complex world. The development of computational methodologies and framework has been a mainstay of the applied mathematics community for more than 50 years. The IMA has not sponsored a program in this general area since the annual year in High Performance Computation in 1996-97. We feel that the time is right to revisit this topic, and the broad community that it represents.mathematical developments regarding numerical algorithms, numerical methods and reduced order models; to developments triggered by changing computational infrastructure and high performance computing; to prominent issues arising in large computations with substantial uncertainty. Approximately one third of the year will focus primarily on application areas where these mathematical ideas have (and will continue have) great impact. We will focus first on computing problems with societal importance, and secondly, on computing in sports and the arts.668IMA596Tutorial2010-10-162010-10-17http://www.ima.umn.edu/2010-2011/T10.16-17.10/This Saturday-Sunday tutorial precedes the workshop: Computing with Uncertainty: Mathematical Modeling, Numerical Approximation and Large Scale Optimization of Complex Systems with Uncertainty, October 18-22, 2010.597IMA596Workshop2010-10-182010-10-22http://www.ima.umn.edu/2010-2011/W10.18-22.10/Mathematical and computational models for an increasing number of complex systems in basic sciences, engineering and, increasingly, also in life sciences and socioeconomic modeling, involve uncertainty: the input data could be random parameters expressing information that may only be revealed in the future, or simply reflect measurement error or inherent variability.598IMA596Workshop2010-11-012010-11-05http://www.ima.umn.edu/2010-2011/W11.1-5.10/This workshop will survey novel discretization techniques in numerical partial differential equations that address the computational challenges posed by higher dimensions, higher orders, complex spaces, complex geometries, nonlinearities and multiscales. The focus is on new and fundamental methodologies that impact diverse areas of numerical partial differential equations. Topics include discontinuous Galerkin methods, finite element exterior calculus, higher order methods, isogeometric analysis, mimetic finite difference methods, multiscale methods, reduced basis methods, sparse grids, and others.599IMA596Workshop2010-11-292010-12-03http://www.ima.umn.edu/2010-2011/W11.29-12-3.10/The amount of time required to solve the large scale problems arising from numerical partial differential equations is a major concern in using mathematical models based on partial differential equations. Various fast solution techniques, such as adaptive methods, domain decomposition methods and multilevel methods, have been developed to address this issue. This workshop will survey new developments and challenges in these and other fast solution techniques.600IMA596Workshop2011-01-102011-01-14http://www.ima.umn.edu/2010-2011/W1.10-14.11/Recently, computational science has been offered the prospect of vast increases in capability, thanks to a paradigm shift in hardware architectures. The IT industry has sidestepped the bottlenecks it faced (memory, power, complexity) by opting for on-chip parallelism. This brought first the multi-core model, and now promises many-core as the future. In addition, we have a great opportunity in the tremendous computing power of graphics processors (GPUs). With this opportunity, however, comes the challenge of adapting the large toolbox of scientific computing to the unstoppable changes in computer architectures. The latest studies indicate that some algorithms have more potential than others for extracting performance from modern many-core architectures. A difficult task involves reformulating algorithms to adapt to the hardware in a resource-conscious way. This workshop will discuss the algorithms and their formulations for extracting performance of the modern architectures.601IMA596Workshop2011-03-072011-03-11http://www.ima.umn.edu/2010-2011/W3.7-11.11/This workshop focuses on the processing, modeling and simulation of image data, and in particular, data that is related to humans and human activities. The main core areas consist of image processing, computer graphics, virtual surgeries, and sport sciences. The modern world is full of image data that is not only gathered from the real world via various imaging mechanisms, but also produced through computer simulations in a wide range of virtual settings. In order for this image based information to be useful, tasks such as cleaning up the images, segmenting special features from images, and comparing either the extracted features or the image data itself are essential. These tasks involve processing data that live in a wide range of dimensions, from two dimensional image data to very high dimensional data (e.g. the space of images), and require in depth mathematical analysis, modeling, and numerical algorithms.602IMA596Workshop2011-04-112011-04-15http://www.ima.umn.edu/2010-2011/W4.11-15.11/Simulation and computation play a critical role in important societal problems. Examples include the role of anthropogenic emissions on climate and ocean circulation; the prediction of earthquakes and tsunamis; the prediction of paths and storm surges of hurricanes; designing infrastructure that is capable of withstanding disasters, such as floods and terrorist attacks; the design and long term durability of major infrastructure, such as bridges, tunnels, etc; the spread and containment of disease and epidemics, etc. These systems exhibit extreme complexity: there are a myriad of different issues that are critical and must be accurately addressed. Models contain and interface large numbers of physical effects. All of these problems represent grand challenge computer problems that require pushing the limits of technology, both with regards to algorithms and machines as well as the development of the physical models themselves.603IMA596Workshop2011-06-062011-06-10http://www.ima.umn.edu/2010-2011/W6.6-10.2011/Many classes of problems in computational science and engineering are characterized by a cycle of experiment design, observation, parameter/state estimation, prediction, and decision-making. The critical steps in this process involve: (1) modeling of the physical processes via, for example, PDEs; (2) estimating unknown parameters in the model from observational data via solution of an inverse problem; (3) propagation of input uncertainties through the model to issue predictions; and (4) determination of an optimal control or decision-making strategy that takes into account the uncertain outputs. The estimation of unknown model parameters or state from observational data, together with a model linking inputs to outputs, constitutes an inverse problem; it is called a statistical inverse problem when at least one of the components in this process is modeled as random. Data assimilation and joint inversion are two particular settings that have a wide range of applications.641MBI0Annual Program2010-09-012011-08-31http://www.mbi.osu.edu/2010/scientific2010.htmlMyriad influences shape the patterns of evolution, timing, behavior and ecology of living organisms. These influences range from biochemical cues to configurations of temperature, space and light, to interactions with other organisms. This one-year program focuses on connecting influence to pattern for processes involving plants and insects. How do biotic and abiotic influences affect patterns of plants and insects? We investigate this complex question quantitatively, by focusing on specific areas where there has been recent growth, simultaneously in mathematical and statistical theories and in biological data and experiment. We propose to couple the mathematics and biology in new ways, allowing for innovative growth of both science and mathematics. The year is based around the following workshops: (i) Mathematical modeling of plant development, (ii) Circadian clocks in plants and fungi, (iii) Insect self-organization and swarming, (iv) Ecology and control of invasive species, including insects, and (v) Coevolution and the ecological structure of plant-insect communities. Our mathematical investigation of these processes will rely upon a diverse array of quantitative theory, including geometry, control, optimization, pattern formation, spatial dynamics, evolution and data-model interaction. The plant development workshop will connect biochemical mechanisms to geometric patterns, while simultaneously investigating the selection pressure for the geometric patterns. Circadian clocks will be evaluated both from the perspective of design features for feedback and control, and of robustness of these features to perturbation. Insect self-organization and swarming will employ dual perspectives of emergent self-organization properties arising from individual interactions, and optimal design of artificial swarms using diffuse (decentralized) information with implications for robotics and decentralized computer algorithms. Biological invasions will be understood, not only in terms of predictable forecasting of future invasions, but in terms of optimal control of the invasion processes. Finally, the physical and behavioral mechanisms involved in coevolution of plant-insect communities will be understood in terms of fitness advantages incurred evolution and adaptation. Thus the underlying feature throughout the workshops is simultaneous investigation of mechanism and optimality: What mechanisms give rise to observed patterns? What is the fitness or optimality associated with observed patterns? It is through this simultaneous study of mechanism and optimality in plants and insects that the workshops will provide general insight to the processes of evolution, synchronization and environmental interactions. The goals of the year program are (i) to develop, analyze and apply new mathematical models for processes of evolution, timing, behavior and ecology of living organisms that are tailored to investigate both mechanisms underlying the processes and optimality of associated patterns; and (ii) train interdisciplinary quantitative researchers at a variety of levels (graduate, postdoctoral and faculty) in the area of evolution, synchronization and environmental interactions for biological systems.evolution, synchronization, environmental interactions, plants and insects661MBI0Current Topics Workshop2010-09-072010-09-10http://www.mbi.osu.edu/2010/btcmpdescription.htmlThe MBI Bootcamp on Cancer Modeling is aimed at young researchers in the biological and biomedical sciences, although young researchers in the mathematical sciences will both benefit from and be accepted into the bootcamp. The bootcamp will focus on three themes surrounding cancer modeling: signaling pathways, tumor growth, and radiotherapy. Three speakers will address each theme: the first will provide the general biological background to the theme, the second will review the relevant modeling, while the third will deliver a state-of-the-art talk and suggest directions/challenges for future research. Each theme will also include a lab session where participants can experiment with pre-programmed models. The bootcamp presenters will include: * Signaling Pathways: Darryl Shibata (USC); Olaf Wolkenhauer (Rostock) * Tumor Growth: Vito Quaranta (Vanderbilt); Alexander Anderson (Moffitt); Yi Jiang (Los Alamos National Lab) * Radiotherapy: Philip Hahnfeldt (Tufts); Heiko Enderling (Tufts) The bootcamp will also have a poster session at which participants are invited to display and discuss their work. Local support is available for interested graduate students and postdoctoral researchers. Please apply on the MBI website. Full consideration will be given to applications received by July 23, 2010. Applicants will be notified of acceptance by August 2, 2010.cancer modeling577SAMSI0Program2010-09-122011-08-25http://www.samsi.info/programs/2010aoodprogram.shtmlThe 12-month SAMSI program will focus on the analysis of complex data types that are an extension of Functional Data Analysis where one considers methods to analyze data samples of complex objects. Modern science is generating a need to understand, and statistically analyze, populations of increasingly complex types. The term "Analysis of Object Data" (AOOD) is aimed at encompassing a broad array of such methods. The proposed SAMSI program seeks to bring together a diverse group of researchers (from statistics, other parts of mathematics, and related sciences) to explore the common structure that underlies such methodologies, and to use this knowledge in turn to motivate and synthesize new approaches.578SAMSI577Workshop2010-09-122010-09-15http://www.samsi.info/workshops/2010aood-opening201009.shtmlTutorial sessions for each of five threads will take place on Sunday, September 12. Invited talks will be presented Monday to Wednesday. There will be a poster session and reception on Monday, September 13. Immediately following the workshop, on Thursday and Friday, research working groups will convene for initial meetings at SAMSI. The workshop will focus on five threads that exemplify the AOOD idea of generalizing the functional data analysis concept of random curves as data points to more general objects as data points. These include objects that are Euclidean, i.e., (constant length) vectors of real numbers, mildly non-Euclidean, i.e. points on a manifold and shapes, or strongly non-Euclidean, i.e. tree or graph structured objects.627AIM0Workshop2010-09-132010-09-17http://www.aimath.org/ARCC/workshops/crmappings.htmlThis workshop will focus on the evolving notion of complexity in CR Geometry.631IMA0Hot Topics Workshop2010-09-132010-09-15http://www.ima.umn.edu/2010-2011/SW9.13-15.10/This workshop is to bring together a group of scientists, mathematicians, and physicians to discuss the device-biological interactions at the material-tissue interfaces from the perspective of medical efficacy and scientific mechanisms. Medical, engineering, and mathematic tools will be used. The goal of the workshop is to identify challenges and opportunities in the fields to stimulate collaborations among physicians, scientists, and mathematicians.Biological reactions to foreign material (implant), including blood clotting and inflammation reactions;Bacterial colonization at implant surface and biofilm formation; electric stimulations and sensing;Mechanical interactions between implants and the tissues: in vivo loading conditions and their effects on tissues (e.g. atrophy and hypertrophy).589IPAM0Semester Program2010-09-132010-12-17http://www.ipam.ucla.edu/programs/op2010/This long program will be centered on the development and application of these modern trends in optimization. It will bring together researchers from mathematics, computer science, operations research, engineering, and other fields, who have a common interest in optimization. The goal is to develop and exchange ideas about modern optimization which can be influenced by, and influence in turn, progress in engineering and science.optimization, operations research659IPAM589Workshop2010-09-142010-09-17http://www.ipam.ucla.edu/programs/optut/Tutorials will provide an introduction to major themes of the workshops: robust optimization, convex methods in algebraic geometry, discrete optimization, sparse optimization, and recent developments in large-scale algorithms for continuous optimization.optimization645IPAM589Workshop2010-09-282010-10-01http://www.ipam.ucla.edu/programs/opws1/This workshop will focus on research directions at the interface of convex optimization and algebraic geometry, with both domains understood in the broadest sense. The problems and algorithms to be discussed arise from fields as diverse as functional analysis, control theory, probability theory, statistics, numerical algebraic geometry, combinatorics, multilinear algebra, and their applications in engineering and the life sciences.optimization, algebraic geometry, algorithms646IPAM589Workshop2010-10-112010-10-15http://www.ipam.ucla.edu/programs/opws2/This workshop brings together experts on techniques that are currently being used (or that could potentially be used) to solve sparse/structured problems and other problem classes of recent interest. We mention in particular techniques for conic optimization formulations (which have applications also in robust optimization), fast gradient and subgradient methods, stochastic approximation techniques, and semismooth Newton and other methods that use second-order information.numerical methods, continuous optimization, optimization, conic optimization647IPAM589Workshop2010-10-262010-10-29http://www.ipam.ucla.edu/programs/opws3/This workshop will bring together experts on the different facets of discrete optimization with the goal of further improving the cross-fertilization of ideas and techniques. Topics will include combinatorial algorithms and characterizations, polyhedral combinatorics and integer programming, graph theory, matroids and other fundamental combinatorial structures, and nonlinear approaches and problems.discrete optimizatino, combinatorial algorithms, graph theory648IPAM589Workshop2010-11-162010-11-19http://www.ipam.ucla.edu/programs/opws4/The workshop proposes an overview of robust optimization, a vibrant field in optimization which addresses uncertainty in optimization problems. It will explore various ways to describe uncertainty, approximate the decision problem (with quality estimates), or address dynamic (control) problems where the uncertainty is partially revealed as time evolves.robust optimization, uncertainty649IPAM589Workshop2010-11-302010-12-03http://www.ipam.ucla.edu/programs/opws5/Recent advances in optimization have made an important impact in a variety of disciplines, including control, communications, signal processing, image processing, machine learning, and computer vision. Conversely, applications in engineering and science have motivated new research directions in optimization.optimization, applications663IPAM0Affiliates Workshop2010-09-202010-09-24http://www.ipam.ucla.edu/programs/mrws1/These two workshops will address two topics important for efficiently obtaining and utilizing the information inherent in complex real-world data, namely Representation and Understanding. Workshop I on Data Representation will begin on Monday, September 20 in the morning and continue until lunch on Wednesday, September 22. Workshop II on Understanding of Data commences after lunch on Wednesday, September 22 and continues through Friday, September 24.machine reasoning608MBI0Workshop2010-09-272010-10-01http://www.mbi.osu.edu/2010/ws1description.htmlPlant development can be considered far beyond the original context of timing and elementary topology of organ development. We may explore its process origins in biochemistry; its mutual coupling to the environment as in energy balance and organ microclimate; the geometry of resources (rectilinear radiation, patchy and diffusive nutrients) that in turn conditions the necessary geometry of plant organs; the selection pressures that drive the evolution of diverse patterns of geometry and timing, and the population-genetic and phylogenetic constraints on such evolution; the ecological interactions with conspecifics as both competitors and mates, other resource competitors, herbivores, pollinators, diseases, and other biota that condition timing and geometry and the responsiveness of both. Exploration of these topics offers opportunities for biologists and mathematicians to meet in modes of modelling from first principles, inverse modelling, empirical modelling and data analysis, and to inform not only each other's major disciplines but also to link subfields within each discipline. Forward models may originate as functional models from basic levels of biochemistry and biophysics. One may also formulate models that begin with selection pressures to estimate how plants "should" function - simple optimization models, which must be generalized to address constraints that are variously functional, population-genetic, or phylogenetic. The workshop has a goal of addressing these topics as items of intrinsic interest. Furthermore, it has a goal of involving young researchers to continue the development of mathematical biology and to take it in new directions. Finally, the workshop should engage us in defining the major challenges that remain. As an example of this last item, we may consider the problem of non-extinction: What is the geometry of the high-dimensional niche space that allows individual species to persist despite great numbers of extreme events in abiotic and biotic conditions, and how does this particularly relate to their biology, both physiological and developmental?mathematical modeling; plant development626AIM0Workshop2010-10-042010-10-08http://www.aimath.org/ARCC/workshops/graphparameter.htmlThis workshop is devoted to identifiability problems in graphical statistical models.636AIM0Workshop2010-10-182010-10-22http://www.aimath.org/ARCC/workshops/realsolutions.htmlThis workshop, sponsored by AIM and the NSF, will be devoted to the study of different versions of the B. and M. Shapiro Conjecture and related questions in real algebraic geometry.664IPAM0Affiliates Workshop2010-10-182010-10-22http://www.ipam.ucla.edu/programs/mrws2/These two workshops will address two topics important for efficiently obtaining and utilizing the information inherent in complex real-world data, namely Actions/Reactions and System Integration. Workshop III on Actions/Reactions will begin on Monday, October 18 in the morning and continue until lunch on Wednesday, October 20. Workshop IV on System Integration commences after lunch on Wednesday, October 20 and continues through Friday, October 22.machine reasoning637AIM0Workshop2010-10-252010-10-29http://www.aimath.org/ARCC/workshops/outerauto.htmlThis workshop will be devoted to the outer automorphism group of the free group, Out(F); in particular, its geometry and its inherent asymmetry.609MBI0Workshop2010-10-252010-10-29http://www.mbi.osu.edu/2010/ws2description.htmlCircadian (~24-hour) rhythms control the timing of many biological processes including leaf movements in plants and sporulation in fungi. Advances in understanding the biological mechanism of plant and fungal clocks have also helped inspire clock research in higher organisms. This workshop brings together theorists and experimentalists to better understanding timekeeping in plants and fungi and how they relate to clocks in higher organisms. We plan to organize this workshop around the following themes: 1. How do multiple feedback loops within the Neurospora and aribidopsis clocks interact? How do individual feedback loops regulate circadian behavior? 2. How do circadian clocks keep a near constant period despite a widely changing environmental conditions? 3. How can mathematical models be matched to time series data? 4. How do circadian rhythms synchronize to the external world and the circadian clocks of other cells? The goals of this workshop are to bring together theorists and experimentalists, some of whom are new to mathematical modelling or circadian rhythms, to foster interdisciplinary collaborations. The workshop will begin with a 2 day tutorial focusing on theory for experimentalists one day and the basics of circadian timekeeping for theorists on the second.circadian clocks; plants; fungi579SAMSI0Program2010-10-292011-07-31http://www.samsi.info/programs/2010edoutreachprogram.shtml580SAMSI579Workshop2010-10-292010-10-30581SAMSI579Workshop2011-02-252011-02-26582SAMSI579Workshop2011-05-162011-05-20583SAMSI579Workshop2011-07-182011-07-26666IPAM0Workshop2010-11-022010-11-04http://www.ipam.ucla.edu/programs/ann2010/The role of mathematics in science has been transformed over the last few decades. Emerging applications in information science, nanosystems, multiscale and multiphysics problems, bioinformatics and other fields have required new kinds of mathematics, both pure and applied. Since its inception in 2000, the Institute for Pure and Applied Mathematics (IPAM) has catalyzed the interaction of mathematics with science.mathematics, applied mathematics619IMA0Special Program2010-11-052010-11-06http://www.ima.umn.edu/2010-2011/SW11.5-6.10/The Finite Element Circus is a conference series with a rich history, focusing on new developments in the finite element method (FEM) and applications. FEM plays a crucial role in simulation of engineering, physical, biological, and other scientific phenomena. A driving force for its success has been its mathematical analysis, which has led to novel competitive methods and significant improvements to existing methods. In line with IMA's annual theme, the Fall 2010 Circus will be held at the IMA.Finite Element Circus, finite element method616MBI0Current Topics Workshop2010-11-052010-11-06http://www.mbi.osu.edu/2010/ctwdescription.htmlThis is the sixth in a series of biannual conferences honoring David Blackwell and Richard Tapia, two seminal figures who inspired a generation of African-American, Native American and Latino/Latina students to pursue careers in mathematics. Carrying forward their work, this one and a half day conference will: * Recognize and showcase mathematical excellence by minority researchers * Recognize and disseminate successful efforts to address under-representation * Inform students and mathematicians about career opportunities in mathematics, especially outside academia * Provide networking opportunities for mathematical researchers at all points in the higher education/career trajectory The conference will include a mix of activities including scientific talks; poster presentations; a panel discussion of career opportunities in mathematics, and another panel on recruitment and retention of a diverse mathematics workforce; and ample opportunities for discussion and interaction. 2010 Blackwell-Tapia Prize: The National Blackwell-Tapia Committee is pleased to announce that the 2010 Blackwell-Tapia Prize will be awarded to Dr. Trachette Jackson (Department of Mathematics, University of Michigan). This prize is awarded every second year in honor of the legacy of David H. Blackwell and Richard A. Tapia. Special Event: Dr. Richard Tapia will give a public lecture at the Columbus Science Museum (COSI) on Thursday evening November 4 at 7:00pm. Admission is free and the public is welcome.Blackwell-Tapia Conference638AIM0Workshop2010-12-062010-12-10http://www.aimath.org/ARCC/workshops/multiscale.htmlThis workshop will bring university-based mathematicians and physicists together with scientists from operational climate modeling centers to discuss the new insights and the mathematical basis for tropical multiscale processes coming from observations and from theory, and the consequences of such insights for the simulation of these processes in fully complex global climate models.639AIM0Workshop2010-12-132010-12-17http://www.aimath.org/ARCC/workshops/randommatrices.htmlThis workshop will focus on recent developments on limiting distributions concerning both local and global properties of the spectrum of a random matrix.677AIM0Workshop2011-01-102011-01-14http://www.aimath.org/ARCC/workshops/sustainability.htmlThis workshop will bring together mathematicians, graduate students, and industry and public agency representatives to work on a wide variety of sustainability problems, including such topics as renewable energy, air quality, water management, and other environmental issues.650IPAM0Workshop2011-01-102011-01-14http://www.ipam.ucla.edu/programs/agt2011/This workshop will gather scientists and researchers from various communities such as mathematics, computer science, economics, game theory, information theory, from academia as well as industry to provide a joint platform to discuss fundamental issues in the emerging interdisciplinary field of Algorithmic Game Theory.game theory, economics, algorithmic game theory430MSRI0Program2011-01-102011-05-20http://www.msri.org/calendar/programs/ProgramInfo/261/show_program 640AIM0Workshop2011-01-172011-01-21http://www.aimath.org/ARCC/workshops/deformbrauer.htmlThis workshop will focus on the interaction between algebraic geometry and the structure theory of fields, particularly the use of deformation theory and patching.651IPAM0Workshop2011-01-182011-01-21http://www.ipam.ucla.edu/programs/sm2011/This workshop is devoted to the simplex method and the Hirsch conjecture, bringing together researchers with a variety contemporary approaches, including the smoothed analysis of the simplex method, analogies with interior point methods, explicit constructions and the systematic search for counterexamples through computational tools, and the investigation of combinatorial-topological abstractions of polyhedra.simplex method, Hirsch conjecture660IPAM0Workshop2011-01-242011-01-28http://www.ipam.ucla.edu/programs/rm2011/One goal of the workshop is to bring current practical and numerical issues to the attention of mathematicians knowledgeable in random media techniques. Another is to address pressing issues beyond homogenization theory. These issues include random media models with slowly decaying correlations or without strong separation of scales. Other important questions to be addressed concern the stochastic stability of solutions and understanding their fluctuations and correctors.random media, homogenization theory, stochastic stability610MBI0Workshop2011-02-212011-02-25http://www.mbi.osu.edu/2010/scientific2010.htmlThe spread of invasive species is a key applied problem in ecology. In North America, invasive exotic species are widespread, ranging from gypsy moth to Asian longhorn beetle to weedy plants. The associated costs are immense, by some estimates exceeding $100 billion US per year. While many invasive species are introduced from Asia or Europe, others, like mountain pine beetle, are simply spreading into new areas of North America, due to processes such as climatic change. Early models for invasive species were nonlinear reaction diffusion equations such as Fisher's equation, which describes quadratic growth coupled to Brownian motion. Here the analysis of traveling waves and of the convergence of initial data to wave solutions has been a fruitful area of classical mathematical research. The traveling wave speed, interpreted biologically as the rate of spread of the introduced population, has successfully predicted spread rates of many introduced species, but has failed dramatically with others. Modifications of these equations to include long-distance dispersal, stage structure, spatial heterogeneity, stochasticity, Allee effects, and nonlinear interactions with resident species (eg, competition or predation) have driven new advances in the theory of nonlinear dynamical systems, while, at the same time, providing a more realistic framework for the study of invasions. The nonlinear dynamical systems models are not simply mathematical abstractions of key processes. They are the quantitative formulation of underlying hypotheses, and they provide the means for testing the hypotheses against data. In parallel with the development of new mathematical models, has been increasing availability of detailed spatio-temporal datasets that can be used to track actual invasion processes. These datasets can be accessed via Geographic Information Systems (GIS), and, in some cases, they show yearly changes in the extent of invaders. Classic data sets include those for mountain pine beetle in western Canada and US, gypsy moth in the eastern US, and Spartina in coastal California. New powerful statistical methods based on intensive computational algorithms such as the Markov Chain Monte Carlo methods, data cloning, profile likelihood based on cascading parameters, composite likelihood and estimating functions make it possible to interface these detailed data sets with the new realistic dynamical system models. This interface allows the models to be assessed, tested and validated against the real data for the invasions. Hypotheses regarding key factors governing invasions can be evaluated, and the means for controlling the invasions/adapting to the invasions can be investigated. This interface between nonlinear dynamical systems, large datasets and statistical and computer methods has only become possible recently, with the growth of large data sets via remote sensing, with the advent of new powerful computers, and with the development of new statistical methods. This interface provides fertile ground for new mathematical, statistical and scientific advances. The purpose of the MBI workshop on invasive species is to bring together researchers from different groups: mathematicians, biologists and statisticians to develop the new interdisciplinary approaches to biological invasions described above. Possible participants are given below.ecology; control of invasive species; insects656IPAM0Workshop2011-02-282011-03-04http://www.ipam.ucla.edu/programs/itc2011/This workshop explores recent, novel relationships between mathematics and information-theoretically secure cryptography, the area studying the extent to which cryptographic security can be based on principles that do not rely on presumed computational intractability of mathematical problems.cryptography590IPAM0Semester Program2011-03-142011-06-17http://www.ipam.ucla.edu/programs/ccs2011/Chemical compound space (CCS) is the combinatorial set which encompasses all chemical compounds. Due to the combinatorial nature of CCS, systematic screening for interesting properties or even simple enumeration is beyond any computational capacity. But CCS provides a natural framework in which to construct rigorous mathematical tools for the development of direct and inverse quantitative structure-property relationships (QSPR), which can be applied to challenges in Materials and Bio design.chemical compound space, materials science652IPAM590Workshop2011-04-042011-04-08http://www.ipam.ucla.edu/programs/ccsws1/Methods of computational sciences, such as atomistic molecular dynamics and Monte Carlo schemes, frequently also combined with coarse-grained, continuous or quantum chemical models, have evolved to become powerful tools for tackling biomolecular problems that concern rational drug design, chemical genetics, design of enzyme catalysts, bio-inspired ligand design in organo- and bio-inorganic metal complexes, and control of protein folding. This workshop will bring together experts from all these fields.chemical compound space, molecular biology, genomics653IPAM590Workshop2011-04-112011-04-15http://www.ipam.ucla.edu/programs/ccsws2/This workshop will bring together experts in the fields of mathematical chemistry, biology, physics, materials sciences, and engineering, to report on their recent research efforts regarding molecular graph-theory and topologies, chem-informatics, quantitative structure-property relationships, and related topics.optimization, chemical compound space, chem-informatics654IPAM590Workshop2011-05-022011-05-06http://www.ipam.ucla.edu/programs/ccsws3/Investigating and predicting materials behavior can be achieved in various ways, ranging from numerically intensive high performance computing applications of multi-scale methods to simple and analytical effective theories based upon model Hamiltonians. We will meet to discuss progress on catalyst design, meta-materials, photoactive materials, heat-transfer fluid design, ionic liquids, designer materials, crystal engineering etc.materials design, chemical compound space, catalyst design, meta-materials, fluid design655IPAM590Workshop2011-05-162011-05-20http://www.ipam.ucla.edu/programs/ccsws4/This workshop concerns the physics of simulation methods that alter chemical composition. For example, using chemical "transformations" (or "alchemical transformations") that walk through chemical compound space (CCS). Experts will present and discuss progress in molecular library design, redox processes, isomolar Monte Carlo or molecular dynamics simulation in the (semi) grand canonical ensemble, generation of grand-canonical ensemble distributions using classical statistical mechanical approaches, and electronic structure theory based frameworks.chemical compound space, simulation methods611MBI0Workshop2011-03-142011-03-18http://www.mbi.osu.edu/2010/ws4description.htmlInsect groups generate a wide range of interesting collective patterns and behaviours, for example the formation of ant trails, the building of elaborate nests, collective movement of honey bee swarms and marching locust bands, to name just a few. The complex non-linear nature of the mechanisms underlying such collective behaviour has generated a great deal of theoretical interest from mathematicians and physicists. Collective insect behaviour is one area where mathematical modelling and experiment have lived well side by side. Collective insect behaviour is interesting from the point of view of evolution because understanding the non-linear dynamics provides insights into self-organization in natural systems which in turn serves as an inspiration for computer algorithms and robots. Many of the emergent collective phenomena involve synchronization where large numbers of individuals move in the same direction or co-ordinate their activities. Lastly, mass movement of insects such as grasshoppers and crickets involve large-scale interactions with the environment, whereby feedback between individuals within a group and their environment determine collective patterns.insect self-organization and swarming657AIM0Workshop2011-03-212011-03-25http://www.aimath.org/ARCC/workshops/hypergraphturan.htmlThis workshop will be devoted to the study of the hypergraph Turan function ex(n,F), the maximum size of an F-free k-hypergraph on n vertices.662MBI0Current Topics Workshop2011-03-222011-03-26http://www.mbi.osu.edu/2010/ddsdescription.htmlThe biosciences provide rich grounds for mathematical problems, and many questions require the development of new mathematical theory and algorithms. With this workshop we give particular attention to new ideas and developments in dynamical systems. We have chosen four themes to showcase how the biosciences inspired recent progress: systems with delays, systems with multiple scales, dynamics of networks, and stochastic bifurcation theory. The meeting will highlight and discuss new directions of fundamental research in each of the themes, how they are connected, and how they contribute to the understanding of specific questions in bioscience applications.Dynamical Systems, biology678AIM0Workshop2011-03-282011-04-01http://www.aimath.org/ARCC/workshops/zilberpink.htmlThis workshop will explore the recent conjectures on "unlikely intersections" due to Zilber, Pink, and Bombieri-Masser-Zannier, and related or analogous problems in model theory, diophantine geometry, and arithmetic dynamics.612MBI0Workshop2011-04-042011-04-08http://www.mbi.osu.edu/2010/ws5description.htmlPlant-insect interactions have played a pivotal role in the development of modern coevolutionary theory, beginning with Darwin's initial insights into reciprocal adaptation between plants and pollinators. When Ehrlich and Raven published their now classic study of coevolution between butterflies and plants in 1964, the link between the development of coevolutionary theory and plant-insect interactions was cemented. Since this time, numerous studies of plant-insect interactions have revealed an important role for coevolution, even as the perceived importance of coevolution for the overall structure of plant-insect communities has waxed and waned. Currently, much of the research on the ecology and evolution of plant-insect interactions, both mutualistic and antagonistic, is expanding from simpler two-species frameworks to consider coevoluton in the context of multispecies communities. The Geographic Mosaic Theory: The geographic mosaic theory focuses on how spatial variability in the abiotic and biotic environment shapes ecological and evolutionary dynamics of interspecific interactions. The geographic mosaic theory explicitly identifies coevolution as the driving force underlying the ecological dynamics and structure of biological communities. Much of the empirical work motivated by the geographic mosaic theory has focused on quantifying patterns of trait matching or local adaptation in interacting species, with plant-insect interactions representing several of the best studied cases. A general result that has emerged from this work is that species interactions exhibit a complex mix of local adaptation, local maladaptation, trait matching, and trait mismatching as predicted by the verbal theory. A substantial body of mathematical theory has been developed to elucidate whether these patterns are consistent with a geographic mosaic process, and if so, whether such a process is more likely than other simpler processes. The development of a robust mathematical framework for the geographic mosaic is essential for interpreting existing data and designing future empirical studies. Community Genetics: Community genetics focuses on the role the genetic structure of component species plays in shaping the ecological structure and dynamics of biological communities. Thus, community genetics represents a marriage of the traditional disciplines of quantitative genetics, population genetics, and community ecology. As it is usually articulated, community genetics does not explicitly integrate the process of coevolution, although its potential importance is generally acknowledged. Empirical studies of community genetics have relied heavily on interactions between insects and plants. For instance, the long running studies of interactions between cottonwoods and insects conducted by Thomas Whitham and colleagues have clearly demonstrated that host genetics strongly influence the community of associated insect species. A wide variety of other studies, conducted in a diverse array of taxa, support the basic argument of community genetics - that integrating the genetic structure of the interacting species is important for any cohesive theory of community ecology. From a theoretical perspective, work in community genetics has been somewhat piecemeal, although excellent models have been developed and analyzed to address particular topics (e.g., see Neuhauser et al. for a particularly nice collection of examples). The development of a general theoretical framework for community genetics is an important goal, and essential for interpreting rapidly accumulating empirical data. The importance of evolutionary history: A third area receiving increased attention recently has been the exploration of the role of evolutionary history in the assembly of communities and in the evolution of plant defense against insects, and insect adaptations. To date, there have been a few studies examining co-diversification of plants and insects. (Futuyma, Becerra, Funk), and ants and fungi (Mueller). Another set of studies explores the role of host plants in sympatric speciation and host shifts (Nosil, Feder); yet a third group examines multivariate trait space to understand constraints and tradeoffs in the evolution of defense under different biotic and abiotic conditions. The degree to which phylogenetic history predicts host use by insects varies among systems, and may benefit from broader theoretical approaches to this question. Synthesis: Neutral theory suggests that how communities are assembled is largely agnostic to evolutionary processes. In contrast, strong evidence for coevolution between interacting species flies in the face of such approaches. We seek to understand how complex biological communities are assembled, what factors contribute to their stability or instability, and why the structure of such communities is often spatially variable. Discussing profitable avenues for the development of a mathematical framework which unifies multiple approaches to understanding the interplay between coevolution and community assembly will be an important focus of this workshop. An additional focus will be the development of statistical tools that can be used to evaluate the importance of reciprocal selection and ongoing coevolution for the composition, structure, and stability of plant-insect communities.coevolution; ecological structure of plant-insect communities643MBI0Current Topics Workshop2011-04-252011-04-29http://www.mbi.osu.edu/2010/mltdescription.htmlmultiscale modeling and computation of biomolecular structure, function, dynamics and transport679AIM0Workshop2011-06-132011-06-17http://www.aimath.org/ARCC/workshops/classgroups.htmlThis workshop will be devoted to questions surrounding some of the various exciting recent developments on the Cohen-Lenstra heuristics.644MBI0Workshop2011-06-202011-07-01http://www.mbi.osu.edu/2010/ws6description.htmlThe goal of the workshop is to bring together biologists studying ocean and polar ecologies; oceanographers, biogeochemists, and climate scientists studying the changing physical habitats; and mathematicians with ecological and physical expertise. The two-way feedback interactions between ocean ecological systems and their physical environments have the potential to dramatically impact both marine biodiversity, and the planetary response to the changing atmosphere. The types of mathematics used to model ecological and physical processes are typically quite different. One of the exciting aspects of this workshop, and a reason to run it at MBI, is that we anticipate interesting new mathematical challenges arising from combining these different approaches to focus on modeling the feedback interactions between the ecological and physical systems. The workshop will focus on two (or possibly three) main themes. The two themes we are certain of are 1. Polar and sea ice ecologies 2. Phytoplankton and the carbon cycle These themes are particularly timely in that the impact of climate change on these systems has been quite pronounced. Moreover, these areas are further tied together through the interplay of a wide range of the length scales involved, from microscopic to many kilometers over oceanic regions. A third possible theme is krill and the Antarctic circumpolar current. We describe here our preliminary vision for the workshop. As with all aspects of mathematics and climate change, this is an emerging area, and part of the reason for running the workshop is to help identify the mathematical challenges and opportunities the emerging topics present. We would be grateful for any suggestions the Advisory Board may have to enrich the program.ocean Ecologies and their Physical Habitats in a Changing Climate680AIM0Workshop2011-07-252011-07-29http://www.aimath.org/ARCC/workshops/repnbranching.htmlThis workshop will focus on branching laws for the restriction of a unitary representation to a subgroup.667AIM0Workshop2011-08-152011-08-19http://www.aimath.org/ARCC/workshops/graphlimits.htmlThis workshop will be devoted to the emerging theory of graph and hypergraph limits.669IMA0Annual Program2011-09-012012-06-30http://www.ima.umn.edu/2011-2012/The Mathematics of Information program will involve invited long-term visitors, New Direction Visiting Professors, as well as postdoctoral fellows. Six workshops on rapidly growing research areas are being organized. In addition, there will be tutorials as well as short courses offered to introduce graduate students, postdocs, and other researchers in neighboring areas to the topics covered in the workshops. Each workshop is designed to be truly interdisciplinary, involving researchers from mathematical sciences, computer sciences, engineering, and other fields.Network engineering,massive datasets at high speeds, medical imaging generates, intricate geometric relationships, astronomical observations include data at different wavelengths or spectral bands.670IMA669Workshop2011-09-192011-09-23http://www.ima.umn.edu/2011-2012/W9.19-23.11/The time is ripe to foster a direct cross-fertilization between the communities in geometric functional analysis, high dimensional geometry and probability and various information theory communities. This workshop will bring together researchers from these communities, including those already at work at the interface, as well as young investigators entering one of the fields.high dimensional probability, combinatorics, geometry, information theoretic applications, , non-asymptotic random matrix theory671IMA669Workshop2011-10-242011-10-28http://www.ima.umn.edu/2011-2012/W10.24-28.11/The focus of the workshop will be on the mathematical, algorithmic, and statistical questions that arise in graph-based machine learning and data analysis, with an emphasis on graphs that arise in the above settings, as well as the corresponding algorithms and motivating applications. Thus, this workshop will be an opportunity for researchers from diverse fields to get together and share problems and techniques for handling these graphs structures. The connections — mathematical, computational, and practical — that arise between these seemingly-diverse problems and approaches will be emphasized. In light of this, particular topics that will be emphasized will include: computational techniques (randomized and online algorithms, fast simplification algorithms, etc.) that are needed when the graph considered are very large; function approximation (by, e.g., using kernels on graphs) and its applications to traditional machine learning methods; graph-based topological methods for the study of the geometry of data and networks; issues that arise with graph-based statistical modeling and associated algorithmic issues.Large data sets,signal processing,graph structure,atic or dynamic interactions672IMA669Workshop2011-11-142011-11-18http://www.ima.umn.edu/2011-2012/W11.14-18.11/The goal of this workshop is to bring together mathematicians, statisticians, engineers and scientists working on particular aspects of medical informatics or related areas. A careful look at the literature in any of the subfields of medical informatics reveals specialized approaches and philosophies combined with a lack of knowledge of other potentially useful methodologies that have been developed in other subfields of medical informatics.Medical informatics,modern CT and MRI images,3D organ deformation tracking673IMA669Workshop2012-02-132012-02-17http://www.ima.umn.edu/2011-2012/W2.13-17.12/The aim of this workshop is to bring together researchers in a diverse mixture of theoretical computer science (including streaming and sublinear algorithms, property testing, lower bounds, and space complexity results), bioinformatics and analysis of large genetic data sets, information and coding theory, and high throughput biological screening.inductees for syphilis,coin-weighing problems, experimental designs,new computational applications674IMA669Workshop2012-03-252012-03-30http://www.ima.umn.edu/2011-2012/W3.25-30.12/This workshop attempts to bring together researchers from different disciplines to discuss recent trends and advances in the theoretical and computational aspects of machine learning.interplay between machine learning (kernel learning, graphical models, online learning, active learning) with (a) statistical modeling and learning theory, (b) theoretical computer science, (c) numerical optimization, (d) topological methods, (e) tensor methods, and (f) sparse methods.675IMA669Workshop2012-05-072012-05-11http://www.ima.umn.edu/2011-2012/W5.7-11.12/This data-driven workshop will explore the challenges for inference, models, algorithms and graphical and analytical tools that these different aspects of user-centered modeling raise. The plan is to start with enabling, evaluating, and analyzing data that users actively contribute in citizen science, taking into account thorny issues like data aggregation, selection bias, data quality, and inferential uncertainty, then move on to data that users passively contribute or leave behind on the web, even when they are trying to hide, and asking the same questions in that context.internal networks, physical, social, personal and biological data,global internet676IMA0Hot Topics Workshop2011-09-072011-09-09http://www.ima.umn.edu/2011-2012//SW9.7-9.11/One of the main objectives of the workshop is to promote research that leads to the discovery and understanding of the underlying processes in order to provide a base for building predictive models. An extension of the trend study is the problem of regression, which is also of great interests to a broad research community, including the econometrics/finance community.Developing effective data analysis methods,nderlying processes of natural phenomena, real-world experimental and theoretical studies,"Trend" and "detrending"658AIM0Workshop2011-09-122011-09-16http://www.aimath.org/ARCC/workshops/l2invfggroups.htmlThis workshop will be devoted to the study of the asymptotic behavior of some natural invariants of finitely generated groups.665IPAM0Semester Program2011-09-122011-12-16http://www.ipam.ucla.edu/programs/gen2011/The goal of this long program is to bring together mathematical and computational scientists, sequencing technology developers in both industry and academia, and the biologists who use the instruments for particular research applications. This presents a unique opportunity to foster interactions between these three communities and advance the mathematics of this exciting field.genomics, computational science, sequencing, biology,