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Mathematical Sciences Research Institutes are national resources that aim to advance research in the mathematical sciences through programs supporting discovery and dissemination of knowledge in mathematics and statistics and enhancing connections to related fields in which the mathematical sciences can play important roles. Institute activities help focus the attention of some of the best mathematical minds on problems of particular importance and timeliness. Institutes are also community resources that involve a broad segment of U.S.-based mathematical sciences researchers in their activities. The goals of the Mathematical Sciences Research Institutes program include advancing research in the mathematical sciences, increasing the impact of the mathematical sciences in other disciplines, and expanding the talent base engaged in mathematical research in the United States.

NCTM is accepting applications for classroom-based research in pre-college mathematics education in collaboration with college or university mathematics educators. Grants of up to $6,000 each will be awarded to mathematics educators or classroom teachers currently teaching mathematics at the grade 7-12 level. The research must be a collaborative effort involving a college or university mathematics educator (a mathematics education researcher or a teacher of mathematics learning, teaching, or curriculum) and one or more grade 7-12 classroom teachers (individuals who spend half or more of their work time teaching in the classroom). The proposal may include but is not restricted to research on curriculum development and implementation, involvement of at-risk or minority students, students' thinking about a particular mathematics concept or set of concepts, connection of mathematics to other disciplines, focused learning and teaching of mathematics with embedded use of technology (any acquisition of equipment must support the proposed plan but not be the primary focus of the grant), and/or innovative assessment or evaluation strategies.

The National Committee of Teachers of Mathematics's Principles to Actions: Ensuring Mathematical Success for All suggests that teachers must identify what counts as evidence of student progress toward mathematics learning goals and reflect on evidence to inform the planning of future instruction. In addition, teachers should work collaboratively with colleagues, families, and community members to ensure that all students have the support they need to maximize success in the mathematics classroom. To that end, the NCTM is accepting applications for classroom-based research in pre-college mathematics education in collaboration with college or university mathematics educators. Grants of up to $6,000 each will be awarded to mathematics educators or classroom teachers currently teaching mathematics at the grade 7-12 level. The research must be a collaborative effort involving a college or university mathematics educator (a mathematics education researcher or a teacher of mathematics learning, teaching, or curriculum) and one or more grade 7-12 classroom teachers (individuals who spend half or more of their work time teaching in the classroom).

Mathematical Sciences Research Institutes are national resources that aim to advance research in the mathematical sciences through programs supporting discovery and dissemination of knowledge in mathematics and statistics and enhancing connections to related fields in which the mathematical sciences can play important roles. Institute activities help focus the attention of some of the best mathematical minds on problems of particular importance and timeliness. Institutes are also community resources that involve a broad segment of U.S.-based mathematical sciences researchers in their activities. The goals of the Mathematical Sciences Research Institutes program include advancing research in the mathematical sciences, increasing the impact of the mathematical sciences in other disciplines, and expanding the talent base engaged in mathematical research in the United States.

Through the program, NCTM supports and encourages classroom-based research in precollege mathematics education in collaboration with college or university mathematics educators. The research must be a collaborative effort involving a college or university mathematics educator (a mathematics education researcher or a teacher of mathematics learning, teaching, or curriculum) and one or more pre-K-6 classroom teachers. Projects may include but are not restricted to research on curriculum development and implementation, involvement of at-risk or minority students, students' thinking about a particular mathematics concept or set of concepts, connection of mathematics to other disciplines, focused learning and teaching of mathematics with embedded use of technology, and innovative assessment or evaluation strategies. The research should lead to a draft article suitable for submission in Mathematics Teacher Educator, the Journal for Research in Mathematics Education, or one of the NCTM school journals.

Mathematical Sciences Research Institutes are national resources that aim to advance research in the mathematical sciences through programs supporting discovery and dissemination of knowledge in mathematics and statistics and enhancing connections to related fields in which the mathematical sciences can play important roles. Institute activities help focus the attention of some of the best mathematical minds on problems of particular importance and timeliness. Institutes are also community resources that involve a broad segment of U.S.-based mathematical sciences researchers in their activities. The goals of the Mathematical Sciences Research Institutes program include advancing research in the mathematical sciences, increasing the impact of the mathematical sciences in other disciplines, and expanding the talent base engaged in mathematical research in the United States.

The National Council of Teachers of Mathematics works to ensure equitable mathematics learning of the highest quality for all students through vision, leadership, the professional development of teachers, and research. To that end, NCTM is accepting applications to its Connecting Mathematics to Other Subject Areas Grants for Grades 9-12 Teachers program, which supports senior high classroom materials or lessons that connect mathematics to other areas of study. For the 2019-20 school year, grants of up to $4,000 each will be awarded to persons currently teaching mathematics in grades 9-12. Materials may be in the form of books, visual displays, computer programs or displays, slide shows, videotapes, or other appropriate media. The focus of these materials should be on showing the connectivity of mathematics to other fields and/or the world around us.

The long-range goal of the Enriched Doctoral Training in the Mathematical Sciences (EDT) program is to strengthen the nation's scientific competitiveness by increasing the number of well-prepared U.S. citizens, nationals, and permanent residents who pursue careers in the mathematical sciences and in other professions in which expertise in the mathematical sciences plays an increasingly important role.  The EDT program will achieve this by supporting efforts to enrich research training in the mathematical sciences at the doctoral level by preparing Ph.D. students to recognize and find solutions to mathematical challenges arising in other fields and in areas outside today's academic setting.  Graduate research training activities supported by EDT will prepare participants for a broader range of mathematical opportunities and career paths than has been traditional in U.S. mathematics doctoral training.

The Mathematical Biology Program supports research in areas of applied and computationalmathematics with relevance to the biological sciences. Successful proposals are mathematically innovative and address challenging problems of interest to members of the biological community. Some projects of interest to the Mathematical Biology Program may include development of mathematical concepts and tools traditionally seen in other disciplinary programs within the Division of Mathematical Sciences, e.g., topology, probability, statistics, computational mathematics, etc. To receive appropriate and timely review, such proposals should be submitted directly to the relevant disciplinary program that has the earliest deadline, with other program(s) selected as secondary. Note that proposals that use established mathematical and computational tools to address problems in the biological sciences are typically not appropriate for submission to DMS. For further details on other disciplinary programs within DMS, see the corresponding program descriptions. In general, if a proposal is appropriate for review by more than one NSF program, it is advisable to contact the program officers handling each program to determine when the proposal should be submitted and to facilitate the review process.

The primary aim of the Mathematical Sciences Infrastructure Program is to foster the continuing health of the mathematical sciences research community as a whole. In addition, the program complements the Workforce Program in the Mathematical Sciences in its goal to increase the number of well-prepared U.S. based individuals who successfully pursue careers in the mathematical sciences and in other professions in which expertise in the mathematical sciences plays an increasingly important role. The DMS Infrastructure program invites projects that support core research in the mathematical sciences, including: 1) novel projects supporting research infrastructure across the mathematical sciences community; 2) training projects complementing the Workforce Program, and 3) conference, workshop, and travel support requests that include cross-disciplinary activities or have an impact at the national scale. See below for more information about each category.

The Analysis Program supports basic research in that area of mathematics whose roots can be traced to the calculus of Newton and Leibniz. Given its centuries-old 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.ConferencesPrincipal Investigators should carefully read the program solicitation "Conferences and Workshops in the Mathematical Sciences" (link below) to obtain important information regarding the substance of "conference proposals" (i.e., proposals for conferences, workshops, summer/winter schools, and similar activities). For Analysis c

The National Council of Teachers of Mathematics is accepting applications to its Equity in Mathematics grant program from classroom teachers in grades 6-8. The purpose of the grant program is to help teachers incorporate middle school classroom materials or lessons that boost the achievement of students with a previous record of underachievement into their classrooms. Grants of up to $8,000 will be awarded to persons currently teaching math in grades 6-12, and proposals must address the following: the mathematics content as defined in NCTM's Principles and Standards for School Mathematics; the plan for improving achievement of the targeted students; and the anticipated impact on students' achievement. To be eligible, applicants must be a current full individual or E-member of NCTM or teach at a school with a current NCTM PreK-8 school membership and currently teach mathematics in grades 6-8 at least 50 percent of the school day.

The Division of Mathematical Sciences in the Directorate for Mathematical and Physical Sciences at the National Science Foundation and the National Institute of General Medical Sciences at the National Institutes of Health plan to support research in mathematics and statistics on questions in the biological and biomedical sciences. Both agencies recognize the need and urgency for promoting research at the interface between the mathematical sciences and the life sciences. This program is designed to encourage new collaborations, as well as to support existing ones.

The Division of Mathematical Sciences in the Directorate for Mathematical and Physical Sciences at the National Science Foundation and the National Institute of General Medical Sciences at the National Institutes of Health plan to support research in mathematics and statistics on questions in the biological and biomedical sciences. Both agencies recognize the need and urgency for promoting research at the interface between the mathematical sciences and the life sciences. This program is designed to encourage new collaborations, as well as to support existing ones.

The Mathematical Biology Program supports research in areas of applied and computationalmathematics with relevance to the biological sciences. Successful proposals are mathematically innovative and address challenging problems of interest to members of the biological community. Some projects of interest to the Mathematical Biology Program may include development of mathematical concepts and tools traditionally seen in other disciplinary programs within the Division of Mathematical Sciences, e.g., topology, probability, statistics, computational mathematics, etc. 

The Office of Advanced Scientific Computing Research (ASCR) of the SC, U.S. Department of Energy (DOE), hereby invites applications for basic research that address fundamental challenges within DOE's mission areas of energy, environment and security, and from a perspective that requires new integrated efforts across multiple mathematical, statistical and computational disciplines. This solicitation is for new Mathematical Multifaceted Integrated Capability Centers (MMICCs) to enable greatly enhanced scientific discovery, design, optimization or decision-support capabilities for the increasingly complex systems, processes, and problems that arise in science and energy research. Proposed research tightly focused on the solution of a particular science or engineering problem are outside the scope of this solicitation.These MMICCs will enable applied mathematics researchers to work together in large, collaborative teams to develop the mathematics needed to address significant scientific computing research challenges. The MMICCs allow researchers to take a broader view of the problem as a whole, and devise solution strategies that attack the problem in its entirety by building fundamental, multidisciplinary mathematical capabilities and tools cognizant of both existing and emerging computing paradigms. The MMICCs teams will have the flexibility and technical expertise to consider all aspects of the problem-solving process simultaneously - ranging from the mathematical formulation to the development, analysis, integration of appropriate models and methods, and demonstration of results and capabilities.

The Applied Mathematics program supports 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 from interdisciplinary teams are encouraged.

The Applied Mathematics program supports 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 from interdisciplinary teams are encouraged.

The National Council of Teachers of Mathematics is accepting applications to its Equity in Mathematics grant program from classroom teachers in grades 6-8. The purpose of the grant program is to help teachers incorporate middle school classroom materials or lessons that boost the achievement of students with a previous record of underachievement into their classrooms. Grants of up to $8,000 will be awarded to persons currently teaching math in grades 6-12, and proposals must address the following: the mathematics content as defined in NCTM's Principles and Standards for School Mathematics; the plan for improving achievement of the targeted students; and the anticipated impact on students' achievement. To be eligible, applicants must be a current full individual or E-member of NCTM or teach at a school with a current NCTM PreK-8 school membership and currently teach mathematics in grades 6-8 at least 50 percent of the school day.

The Analysis Program supports basic research in that area of mathematics whose roots can be traced to the calculus of Newton and Leibniz.  Given its centuries-old 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.

The Applied Mathematics program supports 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. ConferencesPrincipal Investigators should carefully read the program solicitation "Conferences and Workshops in the Mathematical Sciences" (link below) to obtain important information regarding the substance of proposals for conferences, workshops, summer/winter schools, and similar activities. To facilitate timely notification of the availability of support:proposals for conferences, workshops, etc., to be held in the US must be submitted 8 months in advance of the conference date; proposals to support group travel to meetings outside the US must be submitted 12 months in advance of the meeting date;proposals for conferences, workshops, etc., whose budget request exceeds $50,000 must be submitted during the annual November 1-15 submission window.

Mathematical Physics develops and applies advanced mathematical methods to enable the solution of difficult problems in physics.  It often is the work of mathematicians with a strong physics interest and intuition, or of physicists who are also highly regarded in mathematics.  Very advanced mathematical methods are applied (by individuals or collaborators) to important but difficult physics concepts to rigorously establish the behavior of theoretical systems,  resolve conundrums or find new directions.  The PHY Mathematical Physics program is dedicated to supporting such research.