This award supports travel expenses for U.S. participants in the international workshop "Analysis on Graphs and its Applications Follow-up Meeting," to be held at the Isaac Newton Institute in Cambridge, UK, on 26-30 July 2010. This workshop is the planned follow-up meeting for the semester-long international program "Analysis on Graphs and its Applications" held in the same venue in 2007.
Substantial recent progress in spectral theory of combinatorial graphs, quantum graphs, and analysis on fractals makes a follow-on conference highly desirable. This meeting will assemble a diverse group of experts, young researchers, and students working in the quickly-developing interdisciplinary field of applications of analysis on graphs to mathematical physics, nanotechnology, microelectronics, chemistry, materials science, photonics, number theory, discrete groups, and fractals.
The conference encourages and financially supports participation by students, recent Ph.D. recipients, and members of groups underrepresented in mathematics.
Conference web site: www.newton.ac.uk/programmes/AGA/agaw06.html
" The international meeting took place on July 26-30 2010 at the Isaac Newton Institute for Mathematical Sciences in Cambridge, UK (see www.newton.ac.uk/programmes/AGA/agaw06.html). It addressed the actively developing new inter-disciplinary area, which has been burgeoning in the last decade, due to its numerous applications in mathematics (spectral theory, discrete groups, number theory, mathematical physics, probability theory, dynamical systems), physics (e.g., carbon nano-structures such as graphen and carbon nano-tubes, photonic crystals, quantum chaos) , chemistry (free electron theory of conjugated moleculae), technology (micro-electronics, quantum wires, nano-technology), material science (meta-materials), and other areas. One of the main hubs and generators of of this activity was the USA mathematics community. The PI was one of the four organizers of the meeting, along with B. M. Brown (Cardiff University, UK), P. Exner (Czech Academy of Sciences, Prague), and T. Sunada (Meiji University, Tokyo, Japan). The meeting gathered researchers from 18 countries: Austria, Czech Republic, Finland, France, Germany, Ireland, Israel, Italy, Japan, New Zealand, Poland, Portugal, Russia, Spain, Sweden, Switzerland, UK, and USA. Along with leading experts (including Fellows of Royal Society and members of National Academy of Sciences), quite a few junior researchers and students have taken part. The USA was presented by seven PhD students, one postdoc, three junor researchers, and eleven senior faculty members. They represented fourteen universities from eleven states of the USA. Two PhD students, one postdoc, two junior faculty and six senior faculty presented talks (including one of the four keynote lectures). All USA participants, except Prof. G. Milton from University of Utah (as one of four keynote speakers, he was provided with travel expenses by the conference), were supported by the grant (covering the travel expenses and the conference fee). All support requests from PhD students, postdocs, and junior faculty were paid in full. The remaining funds were used to provide (in several cases partial) travel reimbursements to senior faculty participants. The conference was extremely successful in providing the forum for presenting recent results, exchanging ideas and techniques, and forging new collaborations in this important blossoming applied interdisciplinary field. It also established the USA as a world leader in this area. The conference was the result of cooperation of the NSF with the Isaac Newton Institute for Mathematical Sciences (UK), Czech Academy of Sciences, and Meiji University (Japan).
