Professor Bender's major research efforts in recent years have fallen into six main categories: (1) developing a new technique for obtaining nonperturbative information about a quantum field theory by expanding the Green's functions as series in powers of D, the dimension of space-time, (2) discovering a new and promising kind of continuum field-theoretic perturbation expansion called the delta expansion, (3) inventing methods for finding the analytical solution of operator differential equations, (4) studying strong-coupling and lattice approximations in quantum field theory, (5) originating the field of large-order behavior of perturbation theory, and (6) miscellaneous research projects. In all six areas he has applied sophisticated analytical and numerical techniques. These research areas are described in detail below. Professor Bender will continue to do research in all of these areas during the proposed grant period.

Turbulence (April 26, 2008)

Dr. Carl Bender's Publications

1964	A.B. - Cornell University, summa cum laude and with Distinction in All Subjects; Dean's list all eight terms; Phi Beta Kappa; Phi Kappa Phi; New York State Regents Science Scholarship; Telluride Scholar
1965	A.M. - Harvard University, Physics
1969	Ph.D. - Harvard University, Physics

1969-1970	Postdoctoral Fellow, Institute for Advanced Study, Princeton
1970-1973	Assistant Professor, M.I.T.
1973-1977	Associate Professor, M.I.T.
1974	Visiting Fellow, Imperial College, London
1986-1987	Visiting Professor, Imperial College, London
1995	Visiting Professor, Technion, Haifa, Israel, fall term
1995-1996	Visiting Professor, Imperial College, London
1977 to present	Professor of Physics, Washington University
1979-present	Scientific Consultant, Los Alamos National Laboratory

1964-1969	NSF Predoctoral Fellow
1964-1965	Woodrow Wilson Fellow
1972-1977	Sloan Foundation Fellowship
1985	Burlington Northern Foundation Faculty Achievement Award
1976	M.I.T. Graduate Student Council Teaching Award
1983	Washington University Gargoyle Award (Undergraduate Teaching Award)
1995-1996	Fulbright Fellowship to United Kingdom
1996	PPARC Fellowship to United Kingdom
1995-1996	Lady Davis Fellowship to Israel
1999	Rockefeller Foundation Award to visit Bellagio Study and conference Center, Italy
2000	Graduate Student Council Mentoring Award
2007	Selected as Stanislaw M. Ulam Distinguished Scholar (Los Alamos National Laboratory)

1978	American Physical Society (Elected a Fellow)

1977-present	U.S. Department of Energy (principal investigator)
1970-1977	U.S. National Science Foundation