Funded Research

- National Science Foundation DMS(07-15-93 to 12-31-96) DMS9315903. The PI of the project titled "Research in harmonic analysis and partial differential equations".

- National Science Foundation DMS(08-01-96 to 07-31-99) DMS9622996. The PI of the project titled "Partial Differential Equations and Harmonic Analysis for the sub-Laplacians".

- American Mathematical Society-National Science Foundation Travel Grant to attend International Congress of Mathematicians in Berlin, August, 1998.

- National Science Foundation, DMS(07-01-99 to 07-01-02), DMS9970352. The PI of the project titled "Multiparameter Hardy spaces, CR-Yamabe problems and nonisotropic Sobolev spaces on the Heisenberg and stratified groups,
*L*estimates,unique continuation and covering lemmas".^{p}

- American Mathematical Society-National Science Foundation Travel Grant to attend International Congress of Mathematicians in Beijing, China, August, 2002.

- National Science Foundation, DMS(05-01-03 to 04-30-04), DMS0225758. The PI of the project titled "NSF-CBMS Regional Research Conference, Free boundary problems in partial differential equations and applications"

- National Science Foundation, DMS(07-01-05 to 06-31-10), DMS0500853. The PI of the project titled "Harmonic analysis and partial differential equations: sharp geometric inequalities, fully nonlinear equations and applications"

- National Science Foundation, DMS(06-15-07 to 05-31-09), DMS0723627. The PI of the project titled "International Conference in Harmonic Analysis and Partial Differential Equations with Applications"

- National Science Foundation, DMS(12-01-08 to 11-30-09), DMS0823812. The PI of the project titled "International Workshop in Fourier Analysis and Partial Differential Equations with Applications"

- National Science Foundation, DMS(10-15-09 to 10-31-13), DMS0901761. The PI of the project titled "Harmonic analysis and partial differential equations: sharp geometric inequalities, fully nonlinear equations and applications"

- National Science Foundation, DMS(08-15-13 to 07-31-17), DMS1301595. The PI of the project titled "Multiparameter Harmonic analysis and sharp geometric inequalities with applications to PDEs"

- Simons Foundation, Simons Fellowship in Mathematics (08-15-15 to 08-14-16), Award Number Award 341447. The PI of the project titled "Multiparameter Harmonic analysis and sharp geometric inequalities"

- Simons Foundation, Simons Collaboration Grant in Mathematics (09-01-17 to 08-31-22), Award Number Award 519099. The PI of the project titled "Geometric and functional inequalities and applications to PDEs"

Special Grants

- Global Grant for the project "Harmonic analysis and applications", Wayne State University, 2000-2001.

- Global Grant for the project "Partial differential equations and harmonic analysis", Wayne State University, 2001-2002.

- Global Grant for the project "Global education and Harmonic analysis and PDEs", Wayne State University, 2004-2005.

- Career Development Chair, Wayne State University, 2001-2002.