The Center for Applied Mathematics (CAM) administers the graduate Field of Applied Mathematics. Graduate education is a vital function at Cornell University. From the student's point of view, the Applied Mathematics graduate program offers not only the opportunity to work at a major university, but flexibility and accommodation to individual needs and interests. Applied Mathematics is one of the most diverse graduate fields; the range of possibilities of graduate research encompasses the areas of specialization of all the faculty members in the field, who currently number more than eighty. As a Cornell graduate student in applied mathematics, you will find a culture of respect and trust and a collegial atmosphere in which to study and that encourages you to excel. To apply to our program, see details here. Our faculty research interests include information theory, algebraic combinatorics, linear programming, parallel numerical methods, statistical genetics/genomics, Bayesian statistics, numerical optimization, dynamical systems, random processes, probability theory, theoretical population biology and evolutionary biology, mathematical biology, logic, data mining, fluid dynamics, and more.

Rafael de la Llave works on hyperbolic systems, hamiltonian mechanics and computational methods. Brian Martensen works on topological dynamics and tiling spaces. Robert Williams works on symbolic dynamics, attractors and more recently, tilings.

The Economic Science Laboratory (ESL) at the University of Arizona was founded in 1985. The Director of ESL from 1985 to 2001 was Vernon L. Smith, 2002 Nobel Laureate in Economics. Since its inception, the ESL has been a leading laboratory in the study of economic behavior and market performance. Research covers many aspects of economic decision-making, strategic behavior, and performance of market institutions. ESL research is consistently supported by grants from the National Science Foundation and is published in leading journals in economics, game theory, econometrics, management science, finance, and accounting.

Game theory can be of considerable use to evolutionary biologists, especially behaviorists. Originally developed as a tool to predict rational human economic behavior, it has been successfully applied to many evolutionary problems. Game theory is useful in understanding situations where the fitness consequences of an individual's behavior depends in part on the types and frequencies of behaviors exhibited by other animals in the population. This site provides an introduction to evolutionary game theory. It is aimed primarily at undergraduates with a serious interest in animal behavior and evolution. I have tried to make the material accessible to any student with a good facility in algebra. Portions of the site dealing with the "war of attrition" do contain some calculus but I have taken care to explain the calculations in detail for students who have not yet studied calculus.

Financial Mathematics is a flourishing area of modern science. Since the pioneering days of Black, Scholes and Merton, the subject has developed rapidly into a substantial body of knowledge. Its numerous applications have become vital to the day to day functioning of the world's financial institutions. As a consequence, a solid command of the principles and techniques of quantitative finance is essential for a responsible approach to the trading, asset management, and risk control of complicated financial positions.

Resources for learning and teaching strategy for business and life. Lecture notes: online notes for teaching game theory. Books: reviews of textbooks. Interactive materials: Java applets and online games. Quizzes and tests: evaluation materials, print and online. Pop culture: game theory in the popular press. Games strategy games to test your skill. Dictionary: glossary of game theory concepts.

Under the direction of Kenneth A. De Jong, the Genetic Algorithms Group (GAG) at George Mason University in Fairfax, Virginia is comprised of students, faculty, and representatives from local industry who share an interest in genetic algorithms and other forms of evolutionary computation. Group members are working on a variety of research projects including GA theory, coevolutionary algorithms, decentralized GAs, representation issues, the application of GAs to molecular biology, and GA-based machine learning.

The IBM Thomas J. Watson Research Center is the headquarters for the IBM Research Division -- the largest industrial research organization in the world with 8 labs worldwide. Established in 1961, the Watson Research Center is located in Westchester County, New York and Cambridge, Massachusetts and spans 3 sites and 4 buildings -- the main laboratory in Yorktown Heights, 2 buildings in Hawthorne, and 1 building in Cambridge. An approximate 1,790 people are employed between these 4 facilities. The research focuses primarily on physical and computer sciences, semiconductors, systems technology, mathematics and information services, applications & solutions.

The primary mission of the IMA is to increase the impact of mathematics by fostering research of a truly interdisciplinary nature, linking mathematics of the highest caliber and important scientific and technological problems from other disciplines and industry. Allied with this mission, the IMA also aims to expand and strengthen the talent base engaged in mathematical research applied to or relevant to such problems. The Institute for Mathematics and its Applications was established in 1982 by the National Science Foundation, as a result of a national competition.

The overall mission of the Institute for Pure and Applied Mathematics (IPAM) is to make connections between a broad spectrum of mathematicians and scientists, to launch new collaborations, to better inform mathematicians and scientists about interdisciplinary problems, and to broaden the range of applications in which mathematics is used.

The Isaac Newton Institute for Mathematical Sciences is a national and international visitor research institute. It runs research programmes on selected themes in mathematics and the mathematical sciences with applications in a very wide range of science and technology. It attracts leading mathematical scientists from the UK and from overseas to interact in research over an extended period.

The mission of the MBI is: (1) to develop mathematical theories, statistical methods, and computational algorithms for the solution of fundamental problems in the biosciences; (2) to involve mathematical scientists and bioscientists in the solutions of these problems; and (3) to nurture a community of scholars through education and support of students and researchers in mathematical biosciences. MBI is based at Ohio State University.

The Mathematical Sciences Research Institute (MSRI) exists to further mathematical research through broadly based programs in the mathematical sciences and closely related activities. From its beginnning in 1982 the Institute has been primarily funded by the NSF with additional support from other government agencies, private foundations, and academic and corporate Sponsors. Now more than 1700 mathematical scientists visit MSRI each year, many for substantial periods.

The Max-Planck-Institut fr Mathematik is one about 80 institutes and constitutions of the Max-Planck-Gesellschaft zur F�derung der Wissenschaften e.V. The institute does research in following work areas: Algebraic geometry and number theory, Arithmetic algebraic geometry, Automorphic forms, Algebraic groups and arithmetic subgroups, Representation theory, Singularities, Complex analysis, Algebraic topology, Differential topology, Differential geometry, Mathematical physics.

This site is devoted to Cellular Automata, one of the most intriguing and admirable aspects of mathematics. Perhaps you have already heard about the Game of Life, one of oldest and best-explored Cellular Automata. Game of Life is only a tip of a large cellular iceberg. Actually, the count of even simple Cellular Automata is estimated to be *much* larger then the count of particles in our Universe! I decided to explore a bit of this huge world. To do it I developed my own Cellular Automata simulator, MCell, and with help from many people I collected a big library of Cellular Automata families, rules, and patterns. You can see much of my collection on these pages. Anyhow, the pages show only a static side of Cellular Automata. Cellular Automata are in fact very dynamic, so I strongly encourage you to download the free MCell software and/or run the MJCell Java applet to see the patterns running! And then, who knows, maybe you will also add something new to the Cellular Automata world.