He has worked on some cool research, but I disagree with his conclusion. We definitely have seen an increase mutations, but due to our stagnant environmental change (Clothes, transportation, HVAC?), they'll never be advantageous. Well, unless someone is born with a new gizzard that is designed to most efficiently digest pop tarts and hot pockets.
You disagreeing with his conclusion is essentially a denial of the data generated by a number of genomic datasets and well-established population genetics theories. I'm sorry, but just because you don't see how clothes, transportation, and HVAC represent changes to the environment that humans are adapting to, doesn't make them any less relevant to our species' evolution. Clothes, transportation, and HVAC aren't 'stagnant environmental change' (what's stagnant change anyway?) - they represent departures from the environments of the past to which people are adapted - they are new pressures populations might adapt to.
Clothes certainly make mutations that make a person more cold resistant less relevant, but they also introduce new parameters that wouldn't exist otherwise. Like resistance to diseases carried by body lice, or resistance to the parasitic burden posed by lice.
This research was presented recently at our national meeting.
Transportation? I'm not sure where to start with that. People were limited to walking and running for millions of years; we've only had horses for a few thousand years, and those have not been available to the majority of people anyway. What, do you think horses, cars, boats, planes make mutations that bestow more efficient walking irrelevant? Last time I checked, even in the developed world, people walk. But perhaps more importantly, sedentary lifestyles are unhealthy and lead to decreased longevity. Do you think that >50% of human populations have always been unhealthily overweight? Google APOA-1 Milano and tell me that mutation is irrelevant. Again, humans are adapting to new environmental pressures that didn't exist millions of years ago. Cars don't make evolution stop.
HVAC? Who cares? What percentage of the human population even has access to it? HVAC makes us more comfortable, perhaps more productive, but how many people do you know who die of heat stroke? Does HVAC increase relative reproductive success? Thermoregulation is something we do better than probably any other large mammal - it's not like HVAC represents some miraculous relaxation of one of the most important selective pressures in our evolutionary history.
Read more about how a population has adapted to a new environment here.
Most people who deny the acceleration of human evolution are either hardcore neutralists or simply don't know a lot about evolution and think societies in the developed world ensure we all live the same number of years and have the same number of children (and never mind the billions who don't live in the developed world).