After secondary education at Missouri's Lindbergh High School,[3] Fulling graduated in 1967 with A.B. in physics from Harvard University. At Princeton University he became a graduate student in physics and received M.S. in 1969 and Ph.D. in 1972.[4] His thesis Scalar Quantum Field Theory in a Closed Universe of Constant Curvature was supervised by Arthur Wightman.[5] Fulling was a postdoc from 1972 to 1974 at the University of Wisconsin-Milwaukee and from 1974 to 1976 at King's College London. At Texas A&M University he joined the mathematics faculty in 1976[3] and was promoted to full professor in 1984. In addition to mathematics, he holds a joint appointment in physics and astronomy.[4]
In addition to more than a hundred papers and publications, he has authored two books, Aspects of Quantum Field Theory in Curved Space-Time (Cambridge University Press, 1989) and Linearity and the Mathematics of Several Variables (World Scientific, 2000).[3]
Fulling, S. A.; Davies, P. C. W. (1976). "Radiation from a Moving Mirror in Two Dimensional Space-Time: Conformal Anomaly". Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 348 (1654): 393–414. Bibcode:1976RSPSA.348..393F. doi:10.1098/rspa.1976.0045. S2CID122176090.
Parker, Leonard; Fulling, S. A. (1974). "Adiabatic regularization of the energy-momentum tensor of a quantized field in homogeneous spaces". Physical Review D. 9 (2): 341–354. Bibcode:1974PhRvD...9..341P. doi:10.1103/PhysRevD.9.341.
Fulling, S. A.; Parker, Leonard; Hu, B. L. (1974). "Conformal energy-momentum tensor in curved spacetime: Adiabatic regularization and renormalization". Physical Review D. 10 (12): 3905–3924. Bibcode:1974PhRvD..10.3905F. doi:10.1103/PhysRevD.10.3905.