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, prog...

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, S...

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, O...

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 mathemati...

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.

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 ...

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...

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.

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 structur...

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.