TRUSTEES OF PRINCETON UNIVERSITY, THE
Fefferman has been working to find efficient algorithms to interpolate multidimensional data by an interpolating function that is "nearly as smooth as possible" (under various interpretations of the phrase in quotes); and investigating a possible self-similar breakdown scenario for the surface QG equation, an incompressible fluid equation in 2 space dimensions.
Stein has been working on finding general theorems that guarantee that relevant operators arising in several complex variables are bounded on appropriate function spaces. He has also been working to develop the asymptotics of stock-price distributions for basic models involving stochastic volatility.
Fefferman: Interpolation of data is important for many purposes in science and technology. (Nearly) incompressible fluids occur in nature, but there is little fundamental understanding of how they flow.
Stein: Methods of harmonic analysis used in studying operators on function spaces have vast applications in understanding a variety of phenomena in science and technology. There is also great utility in better understanding the nature of solutions of stochastic differential equations.
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| AWARD OVERVIEW |
| Award Number |
0901040 |
Funding Agency |
National Science Foundation |
| Total Award Amount |
$959,415 |
Project Location - City |
Princeton |
| Award Date |
07/19/2009 |
Project Location - State |
NJ |
| Project Status |
More than 50% Completed |
Project Location - Zip |
08544-2001
|
| Jobs Reported |
0.24 |
Congressional District |
12 |
| Project Location - Country |
US |
|
|
Recipient Information
(Grants)
| Recipient Information (Grants) |
|
Recipient Name
|
TRUSTEES OF PRINCETON UNIVERSITY, THE |
| Recipient DUNS Number |
002484665
|
| Recipient Address |
1 NASSAU HALL |
| Recipient City |
PRINCETON |
| Recipient State |
New Jersey |
| Recipient Zip |
08544-2001 |
| Recipient Congressional District |
12 |
| Recipient Country |
USA |
Required to Report Top 5
Highly Compensated Officials |
No |
Projects and Jobs Information
| Projects and Jobs Information |
| Project Title |
Fourier analysis and partial differential equations |
| Project Status |
More than 50% Completed |
| Final Project Report Submitted |
No |
| Project Activities Description |
Research & Public Policy Analysis |
| Quarterly Activities/Project Description |
The co-Principal Investigator (PI) worked with a postdoc to produce an efficient algorithm for interpolation of data by functions in Sobolev spaces. Also, the co-PI continued several ongoing collaborations with investigators at other institutions. Those collaborations deal with the quantum mechanics of systems with honeycomb symmetry, formation of singularities in fluid interfaces, and the borderline between analysis and algebraic geometry. Recently, the co-PI started working with an investigator from another institution to try to understand quantitative differentiation in high dimensions. |
| Jobs Created |
0.24 |
| Description of Jobs Created |
Princeton University supports its faculty during the Academic Year. Princeton University created Regular Graduate Student. |
Purchaser Information
(Grants)
| Purchaser Information |
| Contracting Office ID |
Not Reported |
| Contracting Office Name |
Not Available |
| Contracting Office Region |
Not Available |
| TAS Major Program |
49-0101 |
| Award Information |
| Award Date |
07/19/2009 |
| Award Number |
0901040 |
| Order Number |
|
| Award Type |
Grants |
| Funding Agency ID |
49 |
| Funding Agency Name |
National Science Foundation |
| Funding Office Name |
Not Available |
| Awarding Agency ID |
49 |
| Awarding Agency Name |
National Science Foundation |
| Amount of Award |
$959,415 |
| Funds Invoiced/Received |
$770,439 |
| Expenditure Amount |
$774,072 |
| Infrastructure Expenditure Amount |
$0 |
| Infrastructure Purpose and Rationale |
Not Reported |
| Infrastructure Point of Contact Name |
Not Reported |
| Infrastructure Point of Contact Email |
Not Reported |
| Infrastructure Point of Contact Phone |
Not Reported |
| Infrastructure Point of Contact Address |
Not Reported |
| Infrastructure Point of Contact City |
Not Reported |
| Infrastructure Point of Contact State |
Not Reported |
| Infrastructure Point of Contact Zip |
Not Reported |
Product or Service Information
(Grants)
| Product or Service Information |
| Primary Activity Code |
**K |
| Activity Description |
Research & Public Policy Analysis |
| Sub-Awards Information |
| Sub-awards to Organizations |
0 |
| Sub-award Amounts to Organizations |
$0 |
| Sub-Awards to Individuals |
0 |
| Sub-Award Amounts to Individuals |
$0 |
| Number of Sub-awards less than $25,000/award |
0 |
| Amount of Sub-awards less than $25,000/award |
$0 |
| Number of payments to vendors greater than $25,000 |
0 |
| Total Amount of payments to vendors greater than $25,000/award |
$0 |
| Number of payments to vendors less than $25,000/award |
0 |
| Total Amount of payments to vendors less than $25,000/award |
$0 |
| Location Information |
| Latitude, Longitude |
40º 20' 38",
-74º 39' 19" |
| Congressional District |
12 |
| Address 1 |
|
| Address 2 |
|
| City |
Princeton |
| County |
Mercer |
| State |
NJ |
| Zip |
08544-2001 |
|
 |