bender photo

Carl Bender

Konneker Distinguished Professor of Physics Emeritus

Office Contact Information

360 Compton

Physics Department, CB 1105
Washington University
One Brookings Drive
St. Louis, MO 63130-4899, USA

(314) 935-6216
(314) 935-6219

Research Interests

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.


Carl Bender's Publications


1969 Ph.D. - Harvard University, Physics
1965 A.M. - Harvard University, Physics
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


Professional History

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-present Professor of Physics, Washington University
1979-present Scientific Consultant, Los Alamos National Laboratory


Honors and Awards

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)


Professional Societies

1978 American Physical Society (Elected a Fellow)


Departmental Committees

  • Graduate Student Selection Committee
  • Departmental Steering Committee
  • Departmental Colloquium Organizer


University Committees

  • Academic Integrity Committee
  • Compton Fellowship Selection Committee
  • Coach for Putnam Mathematical Competition
  • Elected member: quad Advisory Committee on Tenure
  • Promotion, and Personnel
  • Honorary Degree Committee
  • Search Committee to Select a New Dean for the Engineering School
  • Elected member: Senate Council
  • Ombudsman for the School of Arts and Sciences


National Panels

  • Editorial Board - Advances in Applied Mathematics
  • Editorial Board - Journal of Physics A: Mathematical and General
  • Editorial Board - Journal of Mathematical Physics
  • Editor - American Institute of Physics Series on Computational and Mathematical Physics
  • External Advisory Board Member - Center for Theoretical
  • Studies of Physical Systems, Clark Atlanta University
  • External Review Panel for University of Connecticut



  • Advanced Mathematical Methods for Scientists and Engineers, Coauthored with S.A. Orszag, McGraw-Hill, 1978