Mathematical and Physical Sciences

Inactive

Assistance listing
47.049
Agency
Grant awards
80,043 $35,196,658,865 in federal obligations

Program facts

Assistance types
  • Project Grant
  • Cooperative Agreement

Program details come from SAM.gov Assistance Listings. Updated . Grant award figures come from USAspending.gov.

About this program

The National Science Foundation funds mathematical and physical sciences research across mathematics, materials science, physics, chemistry, and astronomy via CFDA 47.049, with the most recent award (Project Grant 2625857 on digital twins for dental implant evaluation) obligating $513,000 on June 1, 2027. The program is actively disbursing grants: 2,142 awards were made in 2025 and 1,520 in 2026, though activity has slowed sharply in 2027 (21 awards recorded). Over its 36-year history, the program has obligated $35.2 billion in combined federal and non-federal dollars across 80,043 total awards.

NSF dominates funding through its parent organization and four principal sub-divisions. The National Science Foundation as a whole awarded 56,699 grants ($21.79 billion federal obligated), with the Division of Materials Research leading by federal dollars ($3.03 billion across 4,198 awards), followed by the Division of Physics ($2.75 billion, 3,441 awards), the Division of Mathematical Sciences ($2.36 billion, 8,431 awards), and the Division of Astronomical Sciences ($2.33 billion, 1,715 awards). These four divisions account for 96 percent of award count. The portfolio is predominantly Project Grants (98 percent of 78,749 awards), with Cooperative Agreements comprising 2 percent (1,294 awards).

Recent awards illustrate the program's concrete scope. Funded projects include development of patient-specific digital twins for dental implant design and cardiopulmonary bypass management; entropy-stable computational methods for high-speed fluid dynamics; nanoscale heterostructures for electronic and sensor applications; postdoctoral fellowships in algebraic geometry, stable homotopy theory, and exoplanet demographics; mathematical foundations for chain-of-thought reasoning in transformer-based AI systems; and conference support for representation theory, probabilistic combinatorics, and applied algebraic geometry. Award magnitudes range from $12,718 (regional mathematics conferences) to $2 million (accelerated design of organic molecular crystals).

Grant opportunities currently posted include MPS Mathematical Sciences Research Programs (26-520, due October 8, 2076), MPS Chemistry Research Programs (26-519, due October 7, 2076), MPS Materials Research Programs (26-521, due October 7, 2076), MPS Physics Research Programs (26-523, due October 6, 2076), MPS Astronomical Sciences Research Programs (26-522, due October 7, 2076), Artificial Intelligence, Formal Methods, and Mathematical Reasoning (24-554, posted October 13, 2026), Materials Innovation Platforms (25-521, cooperative agreement, posted October 9, 2026), Quantum Leap Challenge Institutes (24-599, cooperative agreement, posted October 9, 2026), and Emerging Mathematics in Biology (25-509, posted August 17, 2026). PI eligibility typically requires tenured or tenure-track status or full-time research appointment at U.S. institutions of higher education.

Objective and description

Objective

To promote the progress of the mathematical and physical sciences and thereby strengthen the Nation's scientific enterprise; to increase the store of scientific knowledge and enhance understanding of major problems confronting the Nation. Most of the

Grant opportunities

Opportunity Status Posted Applications due
Artificial Intelligence, Formal Methods, and Mathematical Reasoning (AIMing) 24-554 — —
Materials Innovation Platforms (MIP) 25-521 — —
Quantum Leap Challenge Institutes (QLCI) 24-599 — —
Science and Technology Centers: Integrative Partnerships 22-521 — —
Strengthening American Infrastructure (SAI) 25-534 — —
Science and Technology Centers: Integrative Partnerships 24-594 — —
Data Science Corps (DSC) 24-560 — —
Incorporating Human Behavior in Epidemiological Models (IHBEM) 25-538 — —
MPS Mathematical Sciences Research Programs (MPS MathSci) 26-520 — —
MPS Physics Research Programs (MPS Physics) 26-523 — —
MPS Astronomical Sciences Research Programs (MPS Astro) 26-522 — —
EMERGING FRONTIERS IN RESEARCH AND INNOVATION (EFRI-2026/27): Wave-Based Computing ( EFRI-WBC) 26-524 Open
MPS Chemistry Research Programs (MPS Chem) 26-519 — —
MPS Materials Research Programs (MPS Materials) 26-521 — —
Focused Research Groups in the Mathematical Sciences (MS-FRG) 23-621 — —
Emerging Mathematics in Biology (eMB) 25-509 — —
Unlocking Dataset Value for AI-Enabled Scientific Discovery (AI Datasets) 26-512 Open
Pathways to Enable Secure Open-Source Ecosystems (PESOSE) 26-506 Open
National Quantum and Nanotechnology Infrastructure (NQNI) 26-505 Closed
Materials Research Science and Engineering Centers 26-500 Closed
Accelerating Research Translation 25-548 Closed
National Science Foundation National Innovation Corps Teams (NSF National I-CorpsTM Teams) Program 25-549 — —
NSF/CASIS Transport Phenomena Research at the International Space Station to Benefit Life on Earth 25-529 Closed
Division of Physics: Investigator-Initiated Research Projects 23-615 Closed
Test Bed: Toward a Network of Programmable Cloud Laboratories 25-541 Closed
Smart Health and Biomedical Research in the Era of Artificial Intelligence and Advanced Data Science 25-542 Closed
Test Bed: Toward a Network of Programmable Cloud Laboratories 25-541 Closed
National Science Foundation Translation to Practice (NSF TTP) 25-540 Open
Centers for Chemical Innovation 23-575 Closed
Ethical and Responsible Research 22-526 — —
Mathematical Biology PD-18-7334 — —
Partnerships for Research Innovation in the Mathematical Sciences 23-560 — —
Security, Privacy, and Trust in Cyberspace 22-517 — —
Division of Materials Research: Topical Materials Research Programs 21-600 — —
Ecology and Evolution of Infectious Diseases 21-609 — —
Pathways to Enable Open-Source Ecosystems 23-556 — —
Research Training Groups in the Mathematical Sciences 23-579 — —
Critical Aspects of Sustainability PD-19-9102 — —
Computational and Data-Enabled Science and Engineering in Mathematical and Statistical Sciences PD-20-8069 — —
Accelerating Research through International Network-to-Network Collaborations 21-511 — —
Science of Learning PD-07-7278 — —
Workplace Equity for Persons with Disabilities in STEM and STEM Education 23-593 — —
Condensed Matter and Materials Theory 16-596 — —
Ceramics 16-597 — —
Office of Special Programs in Materials Research PD-14-7222 — —
Research Training Groups in the Mathematical Sciences 20-608 — —
LIGO Research Support PD-13-1252 — —
Grant Opportunities for Academic Liaison with Industry 12-513 — —
Conferences and Workshops in the Mathematical Sciences 21-541 — —
Software Infrastructure for Sustained Innovation 15-553 — —
Show 40 more

Latest 50 listed here. See the rest on GovTribe.

Grant awards

Latest 10 of 80,043 listed here. See the rest on GovTribe.

Top recipients by federal obligations

Rank Recipient Federal obligations Share
1 Association Of Universities For Research In Astronomy, Inc. $2,676,358,266 8%
2 Associated Universities Inc. $2,193,162,080 6%
3 California Institute Of Technology $1,403,658,538 4%
4 Cornell University $913,968,269 3%
5 Florida State University $868,884,257 2%
6 Michigan State University $549,816,794 2%
7 University Of Wisconsin System $547,570,626 2%
8 The Regents Of The University Of California $532,298,259 2%
9 The Trustees Of Princeton University $528,478,291 2%
10 The University Of Chicago $498,678,389 1%

10 of 965 recipients listed here. See the rest on GovTribe.

Federal obligations by fiscal year

Fiscal year Federal obligations
FY2026 $1,007,534,479
FY2025 $1,603,422,848
FY2024 $1,537,741,895
FY2023 $1,651,051,450
FY2022 $1,670,748,194
FY2021 $1,749,388,498
FY2020 $1,642,757,062
FY2019 $1,599,773,710
FY2018 $1,608,603,139
FY2017 $1,448,307,789
FY2016 $1,471,908,391
FY2015 $1,484,263,195
FY2014 $1,372,153,393
FY2013 $1,329,602,972
FY2012 $1,391,293,564
FY2011 $1,378,032,133
FY2010 $1,501,201,655
FY2009 $1,430,203,556
FY2008 $1,363,498,930
FY2007 $1,264,167,633
FY2006 $1,076,554,305
FY2005 $1,091,247,108
FY2004 $623,321,504
FY2003 $936,282,429
FY2002 $642,698,642
FY2001 $630,014,528
Show all 26

Quick answers

What is Assistance Listing 47.049?

Assistance Listing 47.049 is Mathematical and Physical Sciences, a federal grant program run by National Science Foundation. It is inactive.

What is the CFDA number for Mathematical and Physical Sciences?

Its CFDA number is 47.049: Assistance Listing numbers were called CFDA numbers before 2018.

How much funding has Assistance Listing 47.049 awarded?

80,043 grant awards under 47.049 have obligated $35,196,658,865 in federal funds to 965 recipients.

Who receives the most funding from 47.049?

The recipients obligated the most under Mathematical and Physical Sciences are Association Of Universities For Research In Astronomy, Inc. ($2,676,358,266), Associated Universities Inc. ($2,193,162,080) and California Institute Of Technology ($1,403,658,538).

How much did 47.049 obligate in fiscal year 2025?

Grants under 47.049 obligated $1,603,422,848 in federal funds in fiscal year 2025.

Are there open grant opportunities under 47.049?

4 of the latest 50 opportunities under 47.049 are open or forecasted. The latest, Artificial Intelligence, Formal Methods, and Mathematical Reasoning (AIMing), was posted on October 13, 2026.

On GovTribe

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