  We consider a continuous-space and continuous-time diffusion process under
resetting with memory. A particle resets to a position chosen from its
trajectory in the past according to a memory kernel. Depending on the form of
the memory kernel, we show analytically how different asymptotic behaviours of
the variance of the particle position emerge at long times. These range from
standard diffusive ($\sigma^2 \sim t$) all the way to anomalous ultraslow
growth $\sigma^2 \sim \ln \ln t$.
