Algebra and Number Theory

Treasury is publishing multiple funding opportunity notices for its RESTORE Act grant programs. This announcement applies only to the Centers of Excellence Research Grants Program.Trust Fund amounts are available to establish one or more Centers of Excellence through competitive subawards to nongovernmental entities and consortia in the Gulf Coast Region, including institutions of higher education. Funds may be used to establish Centers of Excellence, and by those Centers of Excellence for science, technology, and monitoring in one or more of the following disciplines as described in the RESTORE Act and Treasury’s implementing regulations at 31 CFR 34.704: 1) Coastal and deltaic sustainability, restoration, and protection, including solutions and technology that allow citizens to live in a safe and sustainable manner in a coastal delta in the Gulf Coast Region. 2) Coastal fisheries and wildlife ecosystem research and monitoring in the Gulf Coast Region. 3) Offshore energy development, including research and technology to improve the sustainable and safe development of energy resources in the Gulf of Mexico. 4) Sustainable and resilient growth, economic and commercial development in the Gulf Coast Region. 5) Comprehensive observation, monitoring, and mapping of the Gulf of Mexico.Eligible applicants issuing subawards to Center(s) of Excellence must establish and implement a program to monitor compliance with its subaward agreements.

The Department of Defense (DoD) announces the Fiscal Year 2027 Defense University Research Instrumentation Program (DURIP). DURIP is designed to improve the capabilities of accredited United States (U.S.) institutions of higher education to conduct research and to educate scientists and engineers in areas important to national defense, by providing funds for the acquisition of research equipment or instrumentation. For-profit organizations are not eligible for DURIP funding.

The Office of Science (SC) of the Department of Energy (DOE) hereby announces its continuing interest in receiving applications for support of work in the following program areas: Advanced Scientific Computing Research, Basic Energy Sciences, Biological and Environmental Research, Fusion Energy Sciences, High Energy Physics, Nuclear Physics, and Isotope R&D and Production. On September 3, 1992, DOE published in the Federal Register the Office of Energy Research Financial Assistance Program (now called the Office of Science Financial Assistance Program), 10 CFR 605, as a Final Rule, which contained a solicitation for this program. Information about submission of applications, eligibility, limitations, evaluation and selection processes and other policies and procedures are specified in 10 CFR 605.   This NOFO is our annual open solicitation that covers all research areas in SC and is open throughout the Fiscal Year. Any research within SC’s Congressionally authorized mission may be proposed under this NOFO.   This NOFO will remain open until September 30, 2026, 11:59 PM Eastern Time, or until it is succeeded by another issuance, whichever occurs first. This NOFO succeeds DE-FOA-0003432, which was published September 30, 2024.

As the home of the United Nations Office for Outer Space Affairs (UNOOSA) and the United Nations Committee on the Peaceful Uses of Outer Space (COPUOS), Vienna provides a unique multilateral platform for fostering these partnerships. Building upon the successful inaugural U.S. Space Forum in 2025, the U.S. Mission to the International Organizations in Vienna (UNVIE) is launching Project Constellation: Building a Constellation of Outer Space Partners at the United Nations as a long-term international partnership platform that strengthens collaboration among governments, industry, academia, entrepreneurs, and international organizations while supporting capacity building in emerging space economies that advances practical implementation of international obligations and non-binding guidelines and best practices adopted through COPUOS. Consistent with the objectives of Economic Support Funds (ESF), Project Constellation seeks to strengthen innovation ecosystems, promote entrepreneurship and commercial engagement, build institutional and workforce capacity, and expand economic opportunities through sustainable international partnerships. To be considered for funding under this opportunity, applicant SHALL: - Have demonstrated previous experience designing and delivering international training, capacity building, workforce development, educational exchanges, or public diplomacy programming on U.S. civil and/or commercial space activities. This should be addressed withing the project narrative section of your application.   - The capacity to complete grant signing by September 31, 2026 and begin supporting the 2026 U.S. Space Forum (October 15-16).

COE for Technical Training and Human Performance

The EDU Core Research (ECR) program offers this ECR:Core solicitation and invites proposals for fundamental research (curiosity-driven basic research and use-inspired basic research) that contributes to the general, explanatory knowledge that underlies STEM education in one or more of the three broadly conceived Research Areas: Research onSTEM Learning and Learning Environments, Research on Broadening Participation in STEM fields, andResearch on STEM Workforce Development. Within this framework, the ECR program supports a wide range of fundamental STEM education research activities, aimed at learners of all groups and ages in formal and informal settings. Fundamental researchgenerates knowledge and understanding with the potential for broad relevance. The potential implications of ECR fundamental research for improving STEM education practice may be indirect and long-term rather than direct and immediate. Moreover, whether they include basic or use-inspired basic research, all successful ECR:Core proposals focus on the advancement or refinement of foundational knowledge for STEM education. The amount of funding and duration requested in proposals submitted to the ECR:Core solicitation should align with the maturity of the proposed work and the size and scope of the empirical effort. The solicitation has three levels of funding with a range of budget sizes, and proposals may request a duration of 3 to 5 years for any level: (1)Level I proposals may request up to $500,000; (2)Level II proposals may request up to $1,500,000; (3)Level III proposalsmay request up to $2,500,000. All proposals should justify the level of funding and duration in the project description.

The Division of Mathematical Sciences (DMS)in the Directorate for Mathematical and Physical Sciences (MPS) at the National Science Foundation (NSF)and the National Institute of General Medical Sciences (NIGMS) at the National Institutes of Health (NIH)plan to support fundamental research in mathematics and statistics necessary to answer questions in the biological and biomedical sciences. Both agencies recognize the need to promote research at the interface between mathematical and life sciences. This program is designed to encourage new collaborations, as well as to support innovative activities by existing teams. The joint DMS/NIGMS initiative offers two submission tracks: Track 1 - for projects with a total budget of up to $600,000 for an award duration of 3 years, and Track 2 - for projects with a total budget of up to $1,200,000 for an award duration of 3-4 years.

Supports mathematical research in areas where computation plays a central and essential role, emphasizing analysis, development, and implementation of theoretically justified and efficient algorithms. The combination of these elements resulting in innovative computational methods is a hallmark of the program. Proposals ranging from single investigator to interdisciplinary team projects that not only create and analyze new computational mathematics techniques but also implement them to model, study, and solve important application problems are strongly encouraged, as is providing opportunities for rigorous mathematical training of junior computational mathematicians through research involvement. Conferences Proposals to the Computational Mathematics Program for conferences or workshops must be submitted through the program solicitation "Conferences and Workshops in the Mathematical Sciences" (link below). Principal Investigators should carefully read the solicitation to obtain important information regarding the substance of proposals for conferences, workshops, and similar activities. Unless an exception from the program is granted, to facilitate timely notification of the availability of support, the following requirements are in effect: Proposals for conferences, workshops, etc., to be held in the US must be submitted at least 6 months in advance of the conference start date; Proposals to support group travel to meetings outside the US must be submitted at least 8 months in advance of the meeting start date; Proposals for conferences, workshops, etc., whose budget request exceeds $50,000 must be submitted during the annual Computational Mathematics Program submission window. Conference proposals to the Computational Mathematics Program whose submission dates do not conform with the requirements described above will be returned without review.

The National Science Foundation (NSF) and the National Institutes of Health (NIH) are interested in proposals that will propel our understanding of the biomedical research enterprise by drawing from the scientific expertise of the science of science policy research community. NSF promotes the progress of science by maintaining the general health of research and education across all fields of science and engineering. The Social, Behavioral and Economic Sciences (SBE) Directorate within NSF supports basic research on people and society. The SBE sciences focus on human behavior and social organizations; how social, economic, political, cultural and environmental forces affect the lives of people from birth to old age; and how people in turn shape those forces. SBE's Science of Science: Discovery, Communication and Impact Program (SoS:DCI) supports research designed to advance the scientific basis of science and innovation policy. The NIH is the U.S. federal agency charged with supporting biomedical research in the U.S.The National Institute of General Medical Sciences (NIGMS) within the NIH supports basic biomedical research that increases understanding of biological processes and lays the foundation for advances in disease diagnosis, treatment and prevention. Both NSF and NIH believe that there are opportunities and needs for building and supporting research projects with a focus on the scientific research enterprise. The two agencies also recognize that when programmatic goals are compatible, coordinated management and funding of a research program can have a positive synergistic effect on the level and scope of research and can leverage the investments of both agencies. Therefore, NIGMS and SBE are partnering to enable collaboration in research between theSoS:DCI program and NIGMS. This partnership will result in a portfolio of high-quality research to provide scientific analysis of important aspects of the biomedical research enterprise and efforts to foster a diverse, innovative, productive and efficient scientific workforce, from which future scientific leaders will emerge. Prospective investigators are strongly encouraged to discuss theirproposals with the program officers before submission to determine project relevance to the priorities of both SBE and NIGMS. Specific questions pertaining to this solicitation can also be directed to the SBE and NIGMS program officers.

The Research Infrastructure in the Social and Behavioral Sciences Program (RISBS) supports projects that create computational tools and data to facilitate basic research in the social and behavioral sciences that can lead to improved health, prosperity and security. Projects should be aimed at creating computational tools and data to enable research by social scientists. Examples include, but are not limited to, data collection or assembly efforts that result in new resources for a community of researchers or software platforms that facilitate data collection efforts by others. RISBS does not support research by PIs except in service of creation of the infrastructure. Innovation is especially encouraged. RISBS directly supports three key longitudinal surveys and panel studies that provide researchers with data on how American society functions and changes over time (and in 2010 were recognized as among the 60 most significant "discoveries or advances that... have had a large impact or influence on every American’s life... call[ed] the ‘Sensational 60’, in honor of NSF’s 60th anniversary”): The American National Election Study , which started in 1948 and has been funded by NSF since 1977, provides “gold standard” data on voting, public opinion, and political participation in U.S. national elections. The General Social Survey , a nationally representative interview survey of the U.S. adult population, collects data on a wide range of topics and has been funded by NSF since its inception in 1972. The Panel Study of Income Dynamics , a longitudinal survey of a nationally representative sample of U.S. families begun in 1968 (with NSF taking over most of its funding in 1980) collects data on a wide array of economic, social and health factors. The RISBS program administers separate solicitations for the American National Election Study (ANES), the General Social Survey (GSS) and the Panel Study of Income Dynamics (PSID). These solicitations have specific requirements and submission deadlines. Other infrastructure proposals may be submitted directly to the RISBS program at any time or transferred from other SBE programs following the respective program’s submission guidelines. RISBS also collaborates with other programs in the social and behavioral sciences through a co-funding process to support projects that create especially valuable tools for researchers in those fields or are furthering innovations in research infrastructure. Prospective PIs may also be interested in the Human Networks and Data Science Program — Infrastructure(HNDS-I) , which supports proposals addressing the development of data resources and relevant analytic techniques that support research in the social, behavioral and economic sciences.Prospective PIs are strongly encouraged to contact the RISBS program officers and/or program officers from other SBE programs that may be applicable to the proposal before submitting to RISBS and to refer to the NSF Proposal & Award Policies & Procedures Guide (PAPPG) policies on duplicate or substantially similar proposals.