- NSF Grant 7604420 to study almost everywhere convergence, 1976-1977.
- NSF Grant 7802403 to study convergence problems in ergodic theory, 1978-1979.
- NSF Grant 8002881 to study phase retrieval problems, 1980-1982.
- NSF Grant 8002881 to study uniqueness of invariant means, random walks on groups, and phase retrieval problems in spectroscopy, 1982-1984.
- NSF Grant 8402718 to study various problems in harmonic analysis, 1984-1986.
- NSF Grant 8521686 to study problems in harmonic analysis, 1986-1988.
- NSF Grant 8802126 to study problems in harmonic analysis and ergodic theory, 1988-1991.
- NSF Grant 9103056 to study problems in harmonic analysis and ergodic theory, 1991-1994.
- NSF Grant 9215965 for support of the Conference on Convergence in Ergodic Theory and Probability, June, 1993, joint with Vitaly Bergelson and Peter March. In addition, the Army Research Office, the Mathematical Institute at The Ohio State University, and the College of Math and Physical Sciences at The Ohio State University supported this conference.
- NSF Grant 9401093 to study problems in harmonic analysis and ergodic theory, 1994-1997.
- University of Illinois Research Board Grant, to study problems in harmonic analysis and ergodic theory, Academic Year 1995-1996 and Summer of 1996.
- NSF SCREMS grant (Co-PIs S. Alexander, D. Bowman, N. Firoozye, J. Gray, and J. Rosenblatt), 1995-1996.
- Beckman Research Award, University of Illinois Research Board Grant, to study harmonic analysis and applications, Academic Year 1996-1997, and summer of 1997.
- NSF Grant 9705228 to study convergence and oscillation in ergodic theory and harmonic analysis, 1997-2000. This grant included participant support for the meeting sponsored by the New York Journal of Mathematics (organizers: Jerry Bona, Karin Reinhold, Joseph Rosenblatt, Cesar Silva, Birgit Speh, and Mark Steinberger) held at SUNY Albany in June, 1997. This grant was also given a supplement for RA support during the academic year 1998-1999.
- University of Illinois Research Board Grant, to study problems in harmonic analysis and ergodic theory, Academic Year 1997-1998.
- LAS Fellow for Study in a Second Discipline, 1998-1999, to work in Electrical and Computer Engineering and the Coordinated Sciences Laboratory on signal processing, tomography, and related topics.
- University of Illinois Research Board Grant, to study problems in harmonic analysis and ergodic theory, Academic Year 1998-1999 and Summer of 1998.
- NSF SCREMS grant (Co-PIs A. Hinkkanen, L. McCulloh, J. Rosenblatt, P. Schupp, and K. Stolarsky), 1998-1999.
- University of Illinois Research Board Grant, to study harmonic analysis, theory and applications, Summer 1999 and Academic Year 1999-2000.
- NSF VIGRE grant (PI Joseph Rosenblatt, CoPIs John D'Angelo, Paul Weichsel, John Gray, Graham Evans; VIGRE coordinator Phil Griffith), 2000-2005.
- University of Illinois Research Board Grant, to study the long range behavior of dynamical systems, Summer 2000 and Academic Year 2000-2001.
- University of Illinois Research Board Grant, to study dynamical systems, Summer 2002 and Academic Year 2002-2003.
- NSF Grant 0555905, to study best constants and weak-type inequalities for operators in harmonic analysis, 2009-2011.
- Simons Foundation Grant, Convergence and Optimization in Ergodic and Harmonic Analysis, 2013-2018.

- NSF Fellowship, physics, fall 1965, Reed College.
- NSF Fellowship, mathematics, summer 1967, Reed College.
- Phi Beta Kappa, Reed College, 1968.
- NSF Trainee Fellowship, mathematics, University of Washington, summers of 1969, 1970, and 1971.
- 1 and 3/4 years NDEA Title IV Fellow at University of Washington.
- Two years Postdoctoral Research Fellow at the University of British Columbia, 1972-1974.