Programs: Division of Mathematical SciencesThe Division of Mathematical Sciences (DMS) supports a wide range of projects aimed at developing and exploring the properties and applications of mathematical structures. Most of these grants are awarded by the disciplinary programs to single investigators or to small groups of investigators working with graduate students and postdoctoral researchers. The Division additionally provides support for activities that differ from the research projects supported by the disciplinary programs, through special programs such as Mathematical Sciences Infrastructure. Interdisciplinary ResearchA number of areas in science and engineering have problems of great mathematical and statistical complexity or obscurity that are creating a demand for mathematical and statistical cooperation. Progress in these areas depends on close collaboration of mathematical scientists with scientists and engineers. At the same time, the problems posed often stimulate interesting, new, and deep mathematical and statistical questions that deserve attention. DMS hopes to foster interactions that require the participants to go well beyond their respective areas of expertise, to nurture young talent in the interdisciplinary mode of research, and to involve underrepresented groups whenever possible. In the area of biosciences and biocomplexity, striking advances in biology, computer science, and the mathematical sciences are creating opportunities to collaborate on research work in fields such as molecular biology, neuroscience, and ecosystems, and offer challenging computational and analytical problems. Biological sciences interaction may extend significantly into the core areas of mathematics, such as topology, operator algebra, probability, and nonlinear dynamical systems, as well as the more traditional areas of applied mathematics and statistics. Other opportunities include research in the areas of highperformance computing and communications; research in information technology; mathematical and statistical aspects of materials behavior and theoretical continuum mechanics; geosciences; advanced manufacturing technologies; mathematical sciences related to biotechnology; and mathematical, statistical, and computational aspects of global change research. Research in the area of materials includes interaction of thermal and mechanical effects; nanoscale science, phase transition, and formation of microstructures and crystals; foundations of nonlinear elasticity and electromagnetic materials; composite materials; and related mathematical questions such as control, optimization, and studies of differential equations arising in these contexts. Research opportunities in advanced manufacturing particularly emphasize simulation, modeling, and analysis of manufacturing processes and devices; applications for manufacturing of deterministic and stochastic quality control; and optimization. Mathematical science research related to biocomplexity, bioprocessing and bioconversion, bioelectronics and bionetworks, agricultural applications, and marine biotechnology is especially encouraged. Environmental research supports the critical development of modeling, analysis, simulation, and prediction in the context of the total Earth system. A particular emphasis is placed on analytical and computational methods for stochastic and deterministic partial differential equations and statistical techniques that encompass the full range of temporal and spatial scales. There also are opportunities in environmental technology, including pollution prevention, monitoring, and remediation. Researchers should be aware of the implications of their efforts toward such activities. For More Information Disciplinary ProgramsAlgebra, Number Theory, and CombinatoricsSupports research in algebra, including algebraic structures, general algebra, and linear algebra; number theory, including algebraic, analytic number theory, arithmetic geometry, quadratic forms, and automorphic forms; combinatorics, including graph theory; and algebraic geometry. Target Date: First Tuesday in October annually. Contact Information:
AnalysisThe Analysis Program supports basic research in that area of mathematics whose roots can be traced to the calculus of Newton and Leibniz. Given its centuriesold ties to physics, analysis has influenced developments from Newton’s mechanics to quantum mechanics and from Fourier’s study of heat conduction to Maxwell’s equations of electromagnetism to Witten’s theory of supersymmetry. More generally, research supported by Analysis provides the theoretical underpinning for the majority of applications of the mathematical sciences to other scientific disciplines. Current areas of significant activity include: nonlinear partial differential equations; dynamical systems and ergodic theory; real, complex and harmonic analysis; operator theory and algebras of operators on Hilbert space; mathematical physics; and representation theory of Lie groups/algebras. Emerging areas include random matrix theory and its ties to classical analysis, number theory, quantum mechanics, and coding theory; and development of noncommutative geometry with its applications to modeling physical phenomena. It should be stressed, however, that the underlying role of the Analysis Program is to provide support for research in mathematics at the most fundamental level. Although this is often done with the expectation that the research will generate a payoff in applications at some point down the road, the principal mission of the Program is to tend and replenish an important reservoir of mathematical knowledge, maintaining it as a dependable resource to be drawn upon by engineers, life and physical scientists, and other mathematical scientists, as need arises. Target Date: First Tuesday in October annually. Contact Information:
Applied MathematicsSupports mathematics research motivated by or having an effect on problems arising in science and engineering. Mathematical merit and novelty, as well as breadth and quality of impact on applications, are important factors. Proposals to develop critical mathematical techniques from individual investigators as well as interdisciplinary teams are encouraged. Target Dates: Contact Information:
Computational MathematicsSupports mathematical research in algorithms and numerical and symbolic methods, and research in all areas of the mathematical sciences in which computation plays a central and essential role. The prominence of computation in the research is a key distinction between the Applied Mathematics and Computational Mathematics programs.
Target Date: First week of December each year. Contact Information:
Geometric Analysis, Topology, and FoundationsGeometric AnalysisSupports research on differential geometry and its relation to partial differential equation and variational principles; aspects of global analysis including the differential geometry of complex manifolds and geometric Lie group theory; geometric methods in modern mathematical physics; and geometry of convex sets, integral geometry, discrete and combinatorial geometry, and related geometric topics. Target Date: First Tuesday in November annually. TopologySupports research on algebraic topology, including homotopy theory, ordinary and extraordinary homology and cohomology, cobordism theory, and Ktheory; topological manifolds and cell complexes, fiberings, knots, and links; differential topology and actions of groups of transformations; geometric group theory; and general topology and continua theory. Target Date: First Tuesday in November annually. FoundationsSupports research in mathematical logic and the foundations of mathematics, including proof theory, recursion theory, model theory, set theory, and infinitary combinatorics. Target Date: First Tuesday in October annually. Contact Information:
Mathematical BiologySupports research in areas of mathematics with relevance to the biological sciences, except statistics and probability. For research in statistics and probablility see the respective program descriptions. The Mathematical Biology program interacts with every division in the NSF Directorate of Biological Sciences, and its interests overlap those of the biology programs. Mathematical Biology regularly seeks joint reviews of proposals with biology programs. In order to ensure both the timely handling of proposals and fairness in comparing competing requests for funding, the DMS Mathematical Biology program has established a Proposal Submission Window. The window for Fiscal Year 2005 and following years extends annually from 18 December (8:00 AM local time) to 13 January (5:00 PM local time). Except for conference and workshop proposals, which should be submitted about eight months before the requested starting date, only proposals submitted during this period will be considered for review.
Deadline Date Window: Proposals must be submitted between 18 December and 13 January.
Contact Information:
Mary Ann Horn Statistics and ProbabilityProbabilitySupports research on the theory and applications of probability. Subfields include discrete probability, stochastic processes, limit theory, interacting particle systems, stochastic differential and partial differential equations, and Markov processes. Research in probability that involves applications to other areas of science and engineering is especially encouraged. Target Date: First Tuesday in November annually. Contact Information:
StatisticsSupports research for developing and improving statistical theory and methods, including research in statistical methods that involve applications to any area of science and engineering. These methods are used for the collection, exploration, analysis, and interpretation of data, to enable discovery and advancement in such diverse areas as bioinformatics, biology, geosciences, astronomy, ecology, and social science. Supported areas include frequentist and Bayesian inference in parametric, semiparametric, and nonparametric methods, time series analysis, robust methods, experimental design, spatial statistics, resampling methods, and the analysis of massive data sets. Target Date: First Tuesday in November annually. Contact Information:
Special DMS ProgramsInfrastructure ProgramProvides support for activities that differ from the research projects supported by the disciplinary programs of the Division of Mathematical Sciences. These include working research sessions, such as conferences, symposia, colloquia, and special years, as well as training programs, such as grants for broadening education in the mathematical sciences or increasing the number of individuals in disciplines that are based in the mathematical sciences. Contact Information:
Mathematical Sciences Priority Area (MSPA)The goal of the Mathematical Sciences Priority Area (MSPA) is to advance frontiers in three interlinked areas:
This solicitation describes many of the opportunities available as part of the MSPA for addressing some of the issues listed above. In FY2004, a set of focused competitions will be held; these are described or referenced in this solicitation. In future years, it is expected that some of these competitions will be broadened in scope.
Approaches to Combat TerrorismThe solicitation for Approaches to Combat Terrorism (ACT) calls for proposals for Small Grants for Exploratory Research (SGER) with the potential to contribute to national security. Each of the five Divisions in the NSF Mathematical and Physical Sciences (MPS) Directorate has identified basic research opportunities. Interdisciplinary efforts are particularly encouraged, including those involving participants whose area of expertise lies outside the MPS disciplines. Such efforts must be led by a Principal Investigator from an MPS discipline and technically centered in areas supported by the MPS Directorate. A number of possible research areas in the Mathematical Sciences are presented below. The examples provided are only meant to be illustrative and not exhaustive. Unanticipated approaches to enhancing national security are especially valuable. Important areas of opportunity are analysis and information synthesis from multimodal large datasets such as text and speech, often in multiple languages, and imagery, including video. Key issues in every area are mathematical techniques to represent, manipulate, and analyze data, and effective models, algorithms, and implementations. Analysis and information synthesis involves problems of uncertainty, data fusion, feature extraction, data synopsis and metadata, partial disclosure, and high dimensionality. Other problems include feature detection, landmarks and registration and characterization of natural images. Data presentation is a critical issue, especially of metadata and in processes that require human mediation. Other important areas include new mathematical approaches to materials, processes, and devices such as fuel cells, miniature mass spectrometers, and other sensors; optimization problems such as the choice of placement and components in sensor arrays; mathematical epidemiology; and multiscale models of complicated diffusion and transport processes. Especially important for Intelligence Community (IC) applications are new mathematical techniques in knowledge discovery in such areas as social network analyses traditionally done on contact graphs of transactional data (business transactions, communications between individuals, etc.) with the content contained in the transactions. A second area of particular interest is the identification (postulation) of missing data given a hypothesis or identification of data that would change an analytic conclusion. Pattern recognition algorithms that are robust to missing data, erroneous data and ambiguity are of considerable interest. Finally, incorporation of both temporal and geospatial information within text, speech and imagery pattern recognition and data mining algorithms are important in analyzing data that is widely distributed in both space and time. An additional area of interest in imagery is the study of the effects of steganographic techniques (e.g., watermarking and fingerprinting) on image quality and on the efficiency of image retrieval, including retrieval of derived images. Both still and video imagery are of interest. In image analysis, the IC has particular interest in research that ultimately supports computational techniques that improve the speed and reliability with which images can be automatically analyzed. Focused Research GroupsThe mathematical sciences thrive on sharing ideas and information from various scientific fields and disciplines. Certain research needs can only be met appropriately through the use of investigative teams. The Focused Research Groups (FRG) Program supports these teams, thereby allowing groups of researchers to respond to the scientific needs of pressing importance; take advantage of current scientific opportunities; and prepare the ground for anticipated developments in the mathematical sciences. In addition to mathematical scientists, groups may include researchers from other scientific and engineering disciplines. FRG projects are highly focused scientifically, timely, limited to 3 years' duration, and substantial in both scope and impact. Projects supported through FRG are essentially collaborative in nature, their success dependent on the interaction of a group of researchers. FRG Award Lists Collaborations in Mathematical GeosciencesThe purposes of the Collaborations in Mathematical Geosciences (CMG) activity are to enable collaborative research at the intersection of mathematical sciences and geosciences, and to encourage crossdisciplinary education through summer graduate training activities. Research projects supported under this activity are essentially collaborative in nature and include at least one mathematical scientist and at least one geoscientist. Joint DMS/BIO/NIGMS Initiative to Support Research in the Area of Mathematical BiologyRevolutionary opportunities have emerged for mathematically driven advances in biological research. These opportunities are recognized by the National Institute of General Medical Sciences (NIGMS), as well as by the National Science Foundation (NSF). Expertise of the NSF in the mathematical and biological sciences, along with its ties to both research communities, and the expertise of the NIH in biological and biomedical research make this an area where cooperation between the two agencies is appropriate. This competition is designed to support research on mathematical problems related to biological problems in areas supported by NSF and NIGMS. A direct relationship between a biological application and the mathematics is expected. Research teams, which include scientists from both the life sciences community and the mathematical sciences community, are encouraged. Both new and existing collaborations will be supported. Proposals from individual investigators will need to make the case that the individual has expertise in both areas. Successful proposals will identify innovative mathematics or statistics needed to solve an important biological problem. Research which would apply standard mathematics or statistics to solve biological problems is not appropriate for this competition and should be submitted directly to NIH or the Directorate for Biological Sciences. Similarly, research in mathematics or statistics that is not tied to a specific biological problem should be submitted to the appropriate DMS program at NSF. Proposals designed to create new software tools based on existing models and methods will not be accepted in this competition. Program Solicitation for the DMS/BIO/NIGMS Mathematical Biology Initiative New Mathematical and Statistical Tools for Understanding Complex Systems in the Environment (MSPACSE)This competition is aimed at developing the mathematical and statistical tools and approaches essential for the creative advancement of research in the science of complex systems. Proposals should address questions involving the fundamentals of complex systems at the interface between the mathematical sciences and the sciences related to the biotic and abiotic environment. We seek proposals that offer new mathematical and statistical approaches to the study of complex systems that are characteristic of those encountered in environmental science areas. Of particular interest are proposals that offer the possibility of new insights into the dynamical consequences of nonlinearity and high dimensionality. The most competitive proposals are likely to involve an investigator or teams of investigators with strengths in both the mathematical sciences and the applications areas. The
Program Solicitation for the MSPACSE activity is in Section I.1.(a) of the
Interactions between the Mathematical Sciences and Computer Science (MSPAMCS)The NSF Divisions of Mathematical Sciences (DMS) and of Computing and Communication Foundations (CCF) plan to support research and development teams focusing on mathematical and computational innovations relevant to the following areas of specific interest:
As this joint funding will focus on areas of mutual interest, proposals must originate from teams involving collaborations of mathematical scientists and computer scientists. We seek proposals that offer new approaches and promise significant breakthroughs in these areas. Proposals submitted to this competition must state why the submission meets the eligibility standards of new approaches, promise of significant breakthroughs, and substantial intellectual differences from ongoing work. The
Program Solicitation for the MSPAMCS activity is in Section I.1.(b) of the
Mathematical Social and Behavioral Sciences (MSBS)This solicitation invites submission of research proposals for projects that advance the mathematical or statistical foundations of research in the social, behavioral, or economic sciences. The resulting research is expected both to further understanding of social and/or behavioral science phenomena and to address a topic of interest to the mathematical sciences. Proposals for workshops or symposia that foster the interaction of social, behavioral, and/or economic scientists with mathematicians and/or statisticians also are welcome. NSFWide Research ProgramsNanoscale Science and EngineeringThe goal of the Nanoscale Science and Engineering (NSE) program is to support fundamental research and catalyze synergistic science and engineering research and education in emerging areas of nanoscale science and technology, including: biosystems at the nanoscale; nanoscale structures, novel phenomena, and quantum control; nanoscale devices and system architecture; nanoscale processes in the environment; multiscale, multiphenomena theory, modeling and simulation at the nanoscale; manufacturing processes at the nanoscale; and studies on the societal and educational implications of scientific and technological advances on the nanoscale. NSE Program Solicitation and Other Information Information Technology ResearchAdvances in Information Technology (IT) have dramatically transformed the way in which people live, work, learn, communicate and conduct business. To insure that these transformations serve human needs, are productive for society, and sustainable over the long term, the National Science Foundation instituted the Information Technology Research (ITR) program as one of its priority areas. This program encourages innovative, highpayoff IT research and education. Fiscal year 2004 (ITR) is the fifth and last year that ITR will be an NSF priority area. The ITR program has been enormously successful in opening up opportunities at the frontiers of IT research and education. In its first year, Fiscal Year (FY) 2000, the ITR program stressed fundamental research in IT. In the second year, FY 2001, the program was considerably broadened to include applications of IT in all scientific, engineering and educational areas. In the third year, FY 2002, the program expanded research in areas of interdisciplinary science, focusing on research at the interstices of information technology and other disciplines. In its fourth year, FY 2003, the program stimulated research on the fundamental challenges facing the continued expansion and utilization of IT across the sciences and engineering, the creation of novel uses of IT, the interaction of IT with society at large, and the use of IT to enhance security and reduce society’s vulnerabilities to catastrophic events, whether natural or manmade. In FY 2004, the focus is “ITR for National Priorities.” Particular emphasis will be placed on the distributed systems, grids and infrastructures that support the attainment of these national priorities. ITR Program Solicitation and Other Information Biocomplexity in the EnvironmentThe Biocomplexity in the Environment (BE) Priority Area promotes comprehensive, integrated investigations of environmental systems using advanced scientific and engineering methods. The concept of biocomplexity stresses the richness of biological systems and their capacity for adaptation and selforganizing behavior. By placing biocomplexity studies in an environmental context, this competition emphasizes research with the following characteristics: (a) a high degree of interdisciplinarity; (b) a focus on complex environmental systems that includes nonhuman biota or humans; and (c) a focus on systems with high potential for exhibiting nonlinear behavior. In FY 2004 and FY 2005, five topical areas are emphasized: 1. Dynamics of Coupled Natural and Human Systems (CNH); 2. Coupled Biogeochemical Cycles (CBC); 3. GenomeEnabled Environmental Science and Engineering (GENEN); 4. Instrumentation Development for Environmental Activities (IDEA); 5. Materials Use: Science, Engineering, & Society (MUSES). In all areas, quantitative modeling, simulation, analysis, and visualization methods are emphasized, as well as integration of education and a global perspective. Individuals or small groups may submit proposals to conduct research projects or exploratory and planning activities. This comprehensive approach to research on biocomplexity in the environment is expected to improve sciencebased predictive capabilities for decisionmaking. BE Program Solicitation and Other Information Grant Opportunities for Academic Liaison with IndustryThe Grant Opportunities for Academic Liaison with Industry (GOALI) initiative aims to synergize universityindustry partnerships by making funds available to support an eclectic mix of industryuniversity linkages. Special interest is focused on affording the opportunity for: (1) faculty, postdoctoral fellows and students to conduct research and gain experience with production processes in an industrial setting, (2) industrial scientists and engineers to bring industry's perspective and integrative skills to academe, and (3) interdisciplinary universityindustry teams to conduct longterm projects. This initiative targets highrisk/highgain research with a focus on fundamental topics that would not have been undertaken by industry, new approaches to solving generic problems, development of innovative collaborative industryuniversity educational programs, and direct transfer of new knowledge between academe and industry. To meet this objective, the GOALI program provides funding, for example, for faculty, postdoctoral fellows, and students to develop creative modes of collaborative interactions with industry through individual or smallgroup projects, and industrybased fellowships for graduate students and postdoctoral fellows. GOALI Program Solicitation and Other Information Human and Social DynamicsThis competition expands NSF support of the Human and Social Dynamics Priority Area, building on the FY 2003 HSD Special Competition. The HSD priority area promotes a comprehensive multidisciplinary approach to understanding human and social dynamics that will significantly advance the scientific understanding of human action and development at the micro level, and of human adaptation and change at the organizational and societal levels. Six areas of emphasis are highlighted. Three topical areas of substantive concern are: agents of change, the dynamics of human behavior, and decisionmaking and risk. Three resource related areas designed to expand the nation's scientific capacity to understand the complexities of human behavior are: spatial social science, modeling, and infrastructure development. The HSD priority area will extend for five years. The FY 2004 Competition requires mandatory letters of intent. HSD Program Solicitation and Other Information Small Business Innovation ResearchThe Small Business Innovation Research and Small Business Technology Transfer Programs (SBIR/STTR) Programs stimulate technological innovation in the private sector, by strengthening the role of small business concerns in meeting Federal research and development needs, increasing the commercial application of federally supported research results, and fostering and encouraging participation by socially and economically disadvantaged persons and womenowned small businesses. SBIR/STTR Program Solicitation Career Development ProgramsUniversityIndustry Cooperative Research Programs in the Mathematical SciencesThe UniversityIndustry Cooperative Research Programs in the Mathematical Sciences provide opportunities for mathematical scientists to conduct research and training in an industrial environment and for industrial scientists to return periodically to academia. To facilitate such research and training, these programs include postdoctoral research fellowships, senior research fellowships, graduate research assistantships, and graduate cooperative fellowships. Interdisciplinary Grants in the Mathematical SciencesThe objective of the Interdisciplinary Grants in the Mathematical Sciences (IGMS) is to enable mathematical scientists to undertake research and study in another discipline so as to:
Recipients of an IGMS award are expected to spend eleven months full time in a twelvemonth period either in a nonmathematical academic science department or in an industrial, commercial or financial institution. The expected outcome is sufficient familiarity with another discipline so as to open opportunities for effective collaboration by the mathematical scientist with researchers in another discipline. Faculty Early Career Development ProgramThe Faculty Early Career Development (CAREER) Program is a Foundationwide activity that offers the National Science Foundation's most prestigious awards for new faculty members. The CAREER program recognizes and supports the early careerdevelopment activities of those teacherscholars who are most likely to become the academic leaders of the 21st century. CAREER awardees will be selected on the basis of creative careerdevelopment plans that effectively integrate research and education within the context of the mission of their institution. NSF encourages submission of CAREER proposals from new faculty at all CAREER eligible institutions. Such plans should build a firm foundation for a lifetime of integrated contributions to research and education. DMS CAREER Award Lists Research Planning Grants and Career Advancement Awards for Minority Scientists and EngineersThis Program Announcement highlights two of the special opportunities for minority scientists and engineers at the National Science Foundation: both are applicable to all NSFsupported disciplinary fields and international cooperative activities:
MRPGs and MCAAs are part of the Foundation's effort to encourage the entry and participation of highly qualified minority scientists and engineers in research careers. These opportunities are applicable to all NSFsupported disciplinary fields and to the Foundation's international cooperative activities. Increasing the Participation and Advancement of Women in Academic Science and Engineering Careers (ADVANCE)The goal of the ADVANCE program is to increase the participation of women in the scientific and engineering workforce through the increased representation and advancement of women in academic science and engineering careers. To meet this goal, the ADVANCE program provides award opportunities for both individuals and organizations: Fellows Awards, Institutional Transformation Awards, and Leadership Awards. With each of the three types of ADVANCE awards, NSF seeks to support new approaches to improving the climate for women in U.S. academic institutions and to facilitate women's advancement to the highest ranks of academic leadership. Creative approaches to realize the goal of this program are sought from men and women. Members of underrepresented minority groups and individuals with disabilities are encouraged to apply. ADVANCE Program Solicitation and Other Information Training ProgramsEnhancing the Mathematical Sciences Workforce in the 21st CenturyThe longrange goal of the Enhancing the Mathematical Sciences Workforce in the 21st Century (EMSW21) program is to increase the number of U.S. citizens, nationals, and permanent residents who are wellprepared in the mathematical sciences and who pursue careers in the mathematical sciences and in other NSFsupported disciplines. EMSW21 builds on the VIGRE program and now includes a broadened VIGRE activity, an additional component for Research Training Groups (RTG) in the Mathematical Sciences, and an additional component for Mentoring through Critical Transition Points (MCTP) in the Mathematical Sciences. For more detailed information, see the EMSW21 Program Solicitation. The three components of the EMSW21 program are:
Mathematical Sciences Postdoctoral Research FellowshipsThe purpose of the Mathematical Sciences Postdoctoral Research Fellowships (MSPRF) is to permit participants to choose research environments that will have maximal impact on their future scientific development. Awards are made for appropriate research in areas of the mathematical sciences, including applications to other disciplines. The MSPRF award provides a stipend support for two ninemonth academic years and six summer months, for a total of 24 months' support, within a 48month period. Each applicant is required to submit a research plan for the tenure period requested. The fellowships are not intended to support the preparation of prior research results for publication or the writing of textbooks. To be eligible for one of these fellowships, an individual must (1) be a citizen, national, or lawfully admitted permanent resident alien of the United States; (2) have earned by the beginning of his or her fellowship tenure a doctoral degree in one of the mathematical sciences listed above, or have research training and experience equivalent to that represented by a Ph.D. in one of those fields; and (3) have held the doctorate for no more than 2 years, as of January 1 of the year of the award. Distinguished International Postdoctoral Research FellowshipsThe Directorate for Mathematical and Physical Sciences (MPS) of the National Science Foundation announces a special opportunity for postdoctoral investigators to conduct research projects abroad as MPS Distinguished International Postdoctoral Research Fellows (MPSDRF). The objective of this activity is to provide talented recent doctoral recipients in the mathematical and physical sciences an effective means of establishing international collaborations in the early stages of their careers, thereby facilitating and enhancing connections between the U.S. science and engineering community and its international counterparts. By providing the resources needed to establish collaborations with potential for longterm impact, this activity is aimed at recognizing and supporting future leaders. As the scientific enterprise becomes increasingly global, there is a growing need for scientists who will excel and provide leadership in such an environment. MPS encourages applicants whose research would especially benefit from international collaboration to apply for an MPSDRF award. MPSDRF awards are available for research abroad in the mathematical and physical sciences. Science centers in all foreign geographical regions are eligible as host institutions. Appropriate establishments include institutions of higher education; industrial research institutions and laboratories; government research institutes, laboratories, and centers; and nonprofit research organizations. There are some similarities between this program and the International Research Fellowship Program (IRFP) managed by the National Science Foundation's Division of International Programs. (See the IRFP Solicitation and other information.) Since the objectives and the guidelines of the two programs differ somewhat, prospective applicants should examine both programs to determine the best match. A unique feature of this program is that resources are available during the fellowship period for awardees to travel in order to establish and to further international contacts and collaborations and to maintain a viable presence in the Fellow's research community in the United States. Thus, Fellows will be provided resources to visit other foreign sites as well as to return to the U.S. for short visits. Graduate Research Fellowship ProgramNSF Graduate Fellowships offer recognition and three years of support for advanced study to approximately 900 outstanding graduate students in the mathematical, physical, biological, engineering, and behavioral and social sciences, including the history of science and the philosophy of science, and to researchbased Ph.D. degrees in science education. Approximately 90 awards will be in the Women in Engineering (WENG) and Women in Computer and Information Science (WICS) components. Fellowships are awarded for graduate study leading to researchbased master's or doctoral degrees in the fields of science, mathematics, and engineering supported by the National Science Foundation. NSF Graduate Research Fellowships are open only to individuals who are, at the time of application, citizens or nationals of the United States or permanent resident aliens of the United States. Fellowships are intended for individuals in the early stages of their graduate study. In most cases, an individual has three opportunities to apply: during the senior year of college, prior to or during the first year of graduate school, and the beginning of the second year of graduate school. GRFP Program Solicitation and Other Information Integrative Graduate Education and Research Traineeship ProgramThe Integrative Graduate Education and Research Traineeship (IGERT) program has been developed to meet the challenges of educating U.S. Ph.D. scientists, engineers, and educators with the interdisciplinary backgrounds, deep knowledge in chosen disciplines, and technical, professional, and personal skills to become in their own careers the leaders and creative agents for change. The program is intended to catalyze a cultural change in graduate education, for students, faculty, and institutions, by establishing innovative new models for graduate education and training in a fertile environment for collaborative research that transcends traditional disciplinary boundaries. It is also intended to facilitate greater diversity in student participation and preparation, and to contribute to the development of a diverse, globallyengaged science and engineering workforce. IGERT is an NSFwide endeavor involving the Directorates for Biological Sciences (BIO), Computer and Information Science and Engineering (CISE), Education and Human Resources (EHR), Engineering (ENG), Geosciences (GEO), Mathematical and Physical Sciences (MPS), Social, Behavioral, and Economic Sciences (SBE), the Office of Polar Programs (OPP), and the Office of International Science and Engineering (INT). IGERT Program Solicitation and Other Information Interdisciplinary Training for Undergraduates in Biological and Mathematical SciencesThe goal of the Undergraduate Biology and Mathematics (UBM) activity is to enhance undergraduate education and training at the intersection of the biological and mathematical sciences and to better prepare undergraduate biology or mathematics students to pursue graduate study and careers in fields that integrate the mathematical and biological sciences. The core of the activity is longterm research experiences for interdisciplinarily balanced cohorts of at least four undergraduates. Projects should focus on research at the intersection of the mathematical and biological sciences. Projects should provide students exposure to contemporary mathematics and biology, addressed with modern research tools and methods. That is, projects must be genuine research experiences rather than rehearsals of research methods. Projects must involve students from both areas in collaborative research experiences and include joint mentorship by faculty in both fields. In addition, it is expected that projects will strengthen the research and education capacity, infrastructure, and culture of the participating institutions. To this end, projects should create models for education in the mathematical and biological sciences and influence the direction of academic programs for a broad range of students. UBM is a joint effort of the Education and Human Resources (EHR), Biological Sciences (BIO), and Mathematical and Physical Sciences (MPS) directorates at the National Science Foundation (NSF). Research Experiences for Undergraduates (REU)For StudentsNSF funds a large number of research opportunities for undergraduate students through its REU Sites program. An REU Site consists of a group of ten or so undergraduates who work in the research programs of the host institution. Each student is associated with a specific research project, where he/she works closely with the faculty and other researchers. Students are granted stipends and, in many cases, assistance with housing and travel. Undergraduate students supported with NSF funds must be citizens or permanent residents of the United States or its possessions. An REU Site may be at either a US or foreign location. By using the web page, Search for an REU Site, you may examine opportunities in the subject areas supported by various NSF units. In addition, you may search by keywords to identify sites in particular research areas or with certain features, such as a particular location. Students must contact the individual sites for information and application materials. NSF does not have application materials and does not select student participants. A contact person and contact information is listed for each site. For FacultyThe REU Program Announcement provides guidance on how to apply for an REU Supplement or for an REU Site. The REU program seeks to expand student participation in all kinds of research  whether disciplinary, interdisciplinary, or educational in focus  encompassing efforts by individual investigators, groups, centers, national facilities, and others. The program seeks to attract a diversified pool of talented students into careers in science and engineering and to help ensure that they receive the best education possible. A request for an REU Supplement may be included within a proposal for a new or renewal NSF grant or cooperative agreement or as a supplement to an ongoing NSFfunded project. An REU Supplement request is handled by the NSF program officer for the underlying research grant. For an REU Site, a formal proposal is submitted by the annual deadline of September 15. REU Sites are funded by research divisions/directorates throughout the Foundation, with the pointofcontact for each given on the web page, REU Points of Contact at NSF. REU Program Solicitation and Other Information Math and Science PartnershipThe Math and Science Partnership (MSP) program addresses a portion of the President's challenge enunciated in No Child Left Behind to strengthen K12 science and mathematics education. The MSP program promotes a vision of education as a continuum that begins with our youngest learners and progresses through adulthood. The program supports partnerships that unite K12 schools, institutions of higher education, and other stakeholders in activities that ensure that no child is left behind. MSP Program Solicitation and Other Information Institutes and Support for Conferences and TravelMathematical Sciences Research InstitutesThe Division of Mathematical Sciences currently funds seven awards given to different mathematical sciences research institutes. These projects stimulate research in all of the mathematical sciences through thematic and residential programs, workshops, and access to distinctive resources. All of the institutes offer visiting opportunities for researchers in every stage of their careers, and most offer postdoctoral fellowships for one or more years, with mentoring provided by outstanding scientists. Many of these centers involve new researchers, graduate students, and undergraduates through tutorials related to current programs, mathematical research experiences based on industrial or other problems, and summer schools. Interested parties are encouraged to contact the institutes directly for information on current and future programs, visiting opportunities, and other activities. The seven institutes and their web sites are:
In addition to these institutes, DMS contributes to the support of the Banff International Research Station for Mathematical Innovation and Discovery (BIRS) in Banff, Alberta, a joint venture between Canada and the United States (visit the station's website at http://www.pims.math.ca/birs/). This site is an international center for workshops, team research, and summer schools for mathematical sciences and mathematical challenges in science and industry. Conferences, International Travel, Workshops and Special Years in Mathematical SciencesThe Division of Mathematical Sciences supports a variety of conferences, workshops, and related activities that are submitted as proposals from principal investigators to the appropriate disciplinary program. Conferences will be supported only if equivalent results cannot be obtained at regular meetings of the professional societies. Requests for support of activities at regular professional society meetings ordinarily originate with educational institutions or professional scientific societies. For conferences, workshops, or related activities, the criterion of overall impact on the U.S. mathematical sciences community will be paramount in making decisions among otherwise equally meritorious proposals. The Division of Mathematical Sciences funding priorities are the following:
Regional Conferences of the Conference Board of the Mathematical SciencesEach fiveday Regional Conference of the Conference Board of the Mathematical Sciences (CBMS) features a distinguished lecturer who delivers ten lectures on a topic of important current research in one sharply focused area of the mathematical sciences. The lecturer subsequently prepares an expository monograph based upon these lectures, which is normally published as a part of a regional conference series. Depending upon the conference topic, the monograph is published by the American Mathematical Society, the Society for Industrial and Applied Mathematics, or jointly by the American Statistical Association and the Institute of Mathematical Statistics. Support is provided for about 30 participants at each conference and the conference organizer invites both established researchers and interested newcomers, including postdoctoral fellows and graduate students, to attend. Call for Proposals and Other Information International Opportunities for Scientists and EngineersThe National Science Foundation recognizes the importance of enabling U.S. researchers and educators to advance their work through international collaboration, and of helping to ensure that future generations of U.S. scientists and engineers gain professional experience beyond this nation's borders early in their careers. The Office of International Science and Engineering (INT) contributes to NSF's mission by promoting new partnerships between U.S. investigators and their colleagues in other countries, or new cooperative projects between established collaborators. Such activities may be in any field of science and engineering research and education supported by NSF. The Office of International Science and Engineering also supports an array of activities designed to provide opportunities for junior investigators. Graduate and undergraduate students and postdoctoral researchers can receive travel and living expenses to participate in the overseas aspects of collaborative research projects proposed to NSF by senior U.S. investigators. Graduate students can also be supported through INT's dissertation enhancement awards, or for participation in the East Asia Summer Institutes (EASI) in Japan, Korea, Taiwan, or China. Principal Investigators of existing grants from other parts of NSF may request supplemental support to include junior faculty members, postdoctoral investigators, graduate students, and qualified undergraduates who are conducting collaborative research in foreign countries. Grants for Computational ResourcesScientific Computing Research Environments in the Mathematical SciencesThe Scientific Computing Research Environments in the Mathematical Sciences (SCREMS) program supports computing environments dedicated to research in the mathematical sciences. Proposals may request support for the purchase of computing equipment and limited support for professional systems administrators or programmer personnel for research computing needs. These grants are intended to support research projects of high quality that require access to advanced computing resources. Awards are made to provide support for specific research projects rather than to provide general computing capacity. Proposers are encouraged to include projects involving symbolic and algebraic computations, numerical computations and simulations, as well graphical representations (visualization) in aid of the research. Major Research Instrumentation ProgramThe Major Research Instrumentation Program (MRI) is designed to improve the quality and expand the scope of research and research training in science and engineering, and to foster the integration of research and education, by providing instrumentation for researchintensive learning environments. The MRI Program assists in the acquisition or development of major research instrumentation by U.S. institutions that is, in general, too costly for support through other NSF programs. The maintenance and technical support associated with these instruments are also supported. Proposals may be for a single instrument, a large system of instruments, or multiple instruments that share a common research focus. Computer systems, clusters of advanced workstations, networks, and other information infrastructure components necessary for research are encouraged. Awards for instrumentation range from $100,000 to $2 million. Lesser amounts are considered in proposals from nonPh.D. granting institutions, from mathematical sciences, or from the social, behavioral and economic science communities. MRI Program Solicitation and Other Information 


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