  In many theoretical models of gamma-ray bursts (GRBs) and their afterglows,
the emission of photons above 100 GeV is predicted. The Large Area Telescope
(LAT) on-board the Fermi Gamma-ray Space Telescope has detected delayed,
high-energy emission (up to 90 GeV in the burst rest-frame) from several GRBs
and no evidence of a high-energy spectral cutoff during the early afterglow
phase of the burst has been found. Presented here are the results of follow-up
observations with VERITAS, a ground-based telescope array sensitive to
gamma-rays above 100 GeV, of GRBs detected by the Fermi and Swift satellites.
These observations have not yielded a conclusive detection and the upper limits
on very high energy (VHE, E>100 GeV) gamma-ray flux obtained from these
observations are among the most constraining to date.
