During the past several decades, tremendous progress has been made in various areas of applied mathematics. New theories and methods in analysis and computation and new models have been established that have proven to be powerful tools in almost every branch of science and engineering. This has helped to solve important problems which previously were thought to be intractable. This conference will provide a forum for world-wide applied mathematicians to present their recent research results, to exchange research ideas and to discuss future trends. This conference consists of plenary lectures, 30-minute invited talks and 20-minute contributed talks. The topics include:

• Applied partial differential equations
• Numerical analysis and methods
• Scientific computation
• Mathematical methods in optics and electromagnetics
• Mathematical modeling in materials science and biology
• Nonlinear problems in mechanics
• Homogenisation and multiscale analysis
• Inverse problems
• Other related topics

http://www6.cityu.edu.hk/ma/events/conference/icam2008/

Fifty years ago, in a 1957 research announcement for the summer AMS meeting, R. H. Fox and J. Milnor, began their influential collaboration with the title, `Singularities of 2-spheres in 4-space and equivalence of knots.' Here they introduced the seminal idea that the concordance class of the link of a singularity obstructs its removal. Both concordance of knots, and the motivating goal of understanding singularities remain central to topology and algebraic geometry. A conference at Brandeis University will be held on June 2-5, 2008, to bring together a variety of researchers and students in geometric topology whose work connects to this fundamental idea. The conference will fertilize new research directions by encouraging mathematical interaction and collaboration. A substantial number of young investigators will be invited to give them exposure, broaden their perspective, and allow them to get to know each other and the more senior members of these fields. There will be approximately twenty invited addresses, and ample time will be set aside for interaction among the attendees. The conference will also honor the memory of Jerry Levine, a pioneer and key contributor to the field. 

http://www.math.brandeis.edu/knot-conference.html

The 2008 Berkeley workshop on Representation Theory, Geometry and Combinatorics will take place this June 2-6 on the UC Berkeley campus, featuring lecture series by

• David Hernandez (CNRS, Versailles)
• Mark Shimozono (Virginia Tech)

along with shorter talks by participants and time for discussion. The lectures are planned to be at a level accessible to graduate students and postdocs, whom we especially encourage to attend and speak. Registration for the workshop is free. If you plan to attend, please register on the workshop web page at the link below, as this will help us to know how many participants to expect. 

http://math.berkeley.edu/~mhaiman/workshop-2008/

The conference will explore the developing relationships among the fields of motives, quantum field theory, and pseudodifferential operators. The first week of the conference will feature introductory lectures on each of the three fields; the second will feature introductory lectures on Hopf algebras and QFT. Both weeks will also have advanced lectures on research topics. 

http://math.bu.edu/qftconference

The Pacific Institute for the Mathematical Sciences (PIMS) will hold the 11th PIMS Graduate Industrial Mathematics Modelling Camp (June 9-13, 2008) and the 12th PIMS Industrial Problem Solving Workshop (June 16-20, 2008) at the University of Regina.

Participation by graduate students and faculty from the U.S. and Canada is encouraged. Financial support is available, particularly for graduate students who attend both GIMMC and IPSW.

PIMS Industrial Problem Solving Workshops (IPSW) are held annually at a PIMS university. The aim of IPSW is to create a mutually beneficial link between researchers in industry and academic mathematicians. Leading specialists from the academic community study problems presented by the industrial partners in teams during the weeklong workshop, and present the results of their study back to the industrial participants at the end of the week. The benefits of an IPSW are numerous and some of its obvious successes are: brings together academia and industry, often leading to long-term research collaborations; develops challenging new research areas with a direct bearing on physical problems; trains highly qualified personnel from the participation of graduate students and postdoctoral fellows. In general workshop participants include graduate students, postdoctoral fellows, faculty members, and industry representatives.

Each year during the week preceding the IPSW, PIMS hosts the Graduate Industrial Mathematics Modelling Camp (GIMMC). The purpose of the camp is to teach graduate students mathematical modelling methods from experts in the field. A cross-section of relevant industrial problems and modelling techniques are presented. 

http://pims.math.ca/ipsw/

The objective of the conference is to bring together scientists with interests in the theoretical, applied, and computational aspects of hyperbolic partial differential equations and related mathematical models found in diverse fields. As has been done in the past, a special effort will be made to enable young scientists to attend and to promote their interaction with the more senior researchers. 

http://hyp2008.umd.edu/

This one-week meeting will bring together mathematicians, computer scientists, and other researchers interested in different aspects of shapes ranging from analytical problems and theoretical foundations to applications in computer vision and graphics.

http://www.hausdorff-center.uni-bonn.de/geometry-and-statistics-of-shapes

For 2008, the Department of Philosophy at Carnegie Mellon University announces a summer school in logic and formal epistemology for undergraduates in philosophy, mathematics, computer science, linguistics, and other sciences.

The goals of the program are to introduce promising students to cross-disciplinary research early in their careers, and forge lasting links between the various disciplines. 

http://www.phil.cmu.edu/summerschool/

Chicago State University and the Real Analysis Exchange will host the Summer Symposium in Real Analysis XXXII. In addition to the usual symposium lectures and problem sessions we will use this opportunity to highlight the work of Cliff Weil and to honor his contributions to our discipline and the international community of real analysis. The program includes hour long talks by Zoltan Buczolich (Budapest), Mike Evans (Lexington), and Hajrudin Fejzic (San Bernardino).

In addition to the principle lectures we will have a number of slots set aside for twenty-minute talks. Young researchers are particularly encouraged to present their work.

http://www.stolaf.edu/people/analysis

The summer school will consist of two advanced graduate courses, given by Geoffrey Grimmett and Krzysztof Burdzy. Descriptions of the graduate courses can be found here. Each course will include 30 hours of lectures. Course credit will be available for graduate students in Western Canada through the Western Deans' Protocol.

http://pims.math.ca/science/2008/08ssprob/

The Pacific Institute for the Mathematical Sciences (PIMS) will hold the 11th PIMS Graduate Industrial Mathematics Modelling Camp (June 9-13, 2008) and the 12th PIMS Industrial Problem Solving Workshop (June 16-20, 2008) at the University of Regina.

Participation by graduate students and faculty from the U.S. and Canada is encouraged. Financial support is available, particularly for graduate students who attend both GIMMC and IPSW.

PIMS Industrial Problem Solving Workshops (IPSW) are held annually at a PIMS university. The aim of IPSW is to create a mutually beneficial link between researchers in industry and academic mathematicians. Leading specialists from the academic community study problems presented by the industrial partners in teams during the weeklong workshop, and present the results of their study back to the industrial participants at the end of the week. The benefits of an IPSW are numerous and some of its obvious successes are: brings together academia and industry, often leading to long-term research collaborations; develops challenging new research areas with a direct bearing on physical problems; trains highly qualified personnel from the participation of graduate students and postdoctoral fellows. In general workshop participants include graduate students, postdoctoral fellows, faculty members, and industry representatives.

Each year during the week preceding the IPSW, PIMS hosts the Graduate Industrial Mathematics Modelling Camp (GIMMC). The purpose of the camp is to teach graduate students mathematical modelling methods from experts in the field. A cross-section of relevant industrial problems and modelling techniques are presented. 

http://pims.math.ca/ipsw/

These International Conferences are a meeting point for mathematicians working in the area of harmonic analysis and its interplay with partial differential equations. They have attracted mathematicians from all over the world and their Proceedings have recorded periodically the basic developments in the above mentioned areas.

http://www.uam.es/Escorial2008

The conference will follow a format tried and tested to a great effect in former FoCM conferences: plenary invited lectures in the mornings, theme-centred parallel workshops in the afternoons. Each workshop extends over three days and the conference will consist of three periods, comprising of different themes. Although some participants choose to attend just one or two periods, on past experience the greatest benefit follows from attending the conference for its full eleven days: the entire idea of FoCM is that we strive to break out of narrow boundaries of our specific research areas and open our minds to the broad range of exciting developments in computational mathematics.

Each workshop will include a daily "semi-plenary" lecture, of an interest to a more general audience, as well as (typically shorter) talks aimed at more technical audience. The choice of speakers in a workshop is the responsibility of workshop organisers. Many (but by no means all) workshop talks will be by invitation.

http://www.damtp.cam.ac.uk/user/na/FoCM/FoCM08/

The main focus of this conference will involve the mutually perpetuating interplay between ergodic theory, combinatorics and Diophantine analysis. Ergodic theory has its roots in statistical and celestial mechanics. In studying the long term behavior of dynamical systems, ergodic theory deals with such phenomena as recurrence and uniform distribution of orbits. Ramsey theory, a branch of combinatorics, is concerned with the phenomenon of preservation of highly organized structures under finite partitions. On the other hand, Diophantine analysis concerns itself with integer and rational solutions of systems of polynomial equations.

Ergodic Ramsey theory links these three distinct areas of mathematics together in a beautiful and intricate way. This leads to spectacular proofs of old conjectures and to the opening of new promising vistas of research.

http://www.ux1.eiu.edu/~prcoulton/cbms08/

The one-week conference Symmetries in Mathematics and Physics, which is being organized to honor the 65th birthday of Prof. Victor G. Kac (MIT), intends to present some of the most important and recent developments in Mathematics and Physics through the concept of "symmetry", which encompasses the major algebraic ideas involved in the description of physical problems.

http://www-math.mit.edu/kac65/

Building upon the successful Summer'04 and Summer'06 CIDER programs, this program will focus on the seismological, geodynamic, mineral physics and geochemical constraints on the nature and dynamics of major boundary layers in the earth. It will provide an overview of the state of each discipline as well as a venue for initiating and advancing new research in situ.

http://www.deep-earth.org/summer08.html

Designed for graduate students and postdocs, the program will focus on recent progress in the theory of evolution equations. Such equations lie at the heart of many areas of mathematical physics, arising not only in situations with a manifest time evolution (such as linear and nonlinear wave and Schrödinger equations) but also in the high energy or semi-classical limits of elliptic problems. Mathematical problems as diverse as:

• stability and singularity formation in relativity
• mathematical theory of black holes
• existence and blow-up of solutions to nonlinear Schrödinger equations
• semi-classical asymptotics of quantum-mechanical energy states
• quantum many body scattering theory

All turn out to be susceptible to analysis by a remarkably unified set of techniques. The first three weeks of the school will consist of three parallel courses introducing these techniques together with some applications. The fourth week will consist of mini-courses focusing on more advanced topics.

http://www.claymath.org/programs/summer_school/2008/

The conference focuses on the new interactions of Algebraic Topology with Group Theory, Algebraic Geometry and Mathematical Physics which come from looking at these fields through the eye of a homotopy theorist. It celebrates one of the contributors to the subject by honoring the 60th birthday of Haynes Miller (MIT). One week before the conference there will be a workshop at the University of Copenhagen with lecture series by Bill Dwyer (Notre Dame) and by Paul Goerss (Northwestern).

http://www.ruhr-uni-bochum.de/topologie/conf08/

This summer school will be an occasion for graduate students and young researchers to learn some of the latest developments in these rapidly developing fields of analytic number theory and diophantine approximation and eventually contribute to them. 

http://www.fields.utoronto.ca/programs/scientific/07-08/analytic/