[4] Gilman’s early research was on developing and testing the validity of sum rules for weak, electromagnetic, and strong processes based on quarks being fundamental constituents of matter.
Prime examples are the application of duality ideas from strong interactions to the scattering of electrons on protons and neutrons in the early 1970s, and his work a decade later with Mark Wise to systematically examine matter-antimatter asymmetries and their experimental consequences for masses and rare decays of K mesons.
In 1985, Gilman was elected a Fellow of the American Physical Society (APS) “for highly original and timely contributions to the phenomenology of elementary particle reactions, especially for his creative interplay with the experimental program at SLAC, including the elucidation of scaling behavior in deeply inelastic scattering.”[5] Through the 1980s, he also participated in multiple studies leading to the Superconducting Super Collider (SSC) project.
[11] As Carnegie Mellon became involved with the Large Synoptic Survey Telescope (LSST), now the Vera C. Rubin Observatory, Gilman joined in helping to advance the project, and then chaired the committee overseeing its construction from 2012 to 2018.
He became a Fellow of the American Association for the Advancement of Science in 2019 “for his work elucidating the fundamental nature of CP violation, and his sustained and successful leadership in the particle physics and cosmology communities.”[13]