  The LOw Frequency ARray, LOFAR, will have the sensitivity, bandwidth,
frequency range and processing power to revolutionise low-frequency pulsar
studies. We present results of simulations that indicate that a LOFAR survey
will find approximately 1500 new pulsars. These new pulsars will give us a much
better understanding of the low end of the luminosity function and thus allow
for a much more precise estimate of the true total local pulsar population. The
survey will also be very sensitive to the ultra-steep spectrum pulsars, RRATs,
and the pulsed radio emission from objects like Geminga and AXPs. We will also
show that by enabling us to observe single pulses from hundreds of pulsars,
including many millisecond pulsars, LOFAR opens up new possibilities for the
study of emission physics.
