My personal opinion…
When I was an undergrad (out of state), one winter got down to -76F windchill. It was a small city, but had plenty of city crime problems. Snow, ice, slush, etc. tend to increase risk of accidents, including a slip and fall and car crashes. It seemed like a lot of crime that was out in the open seemed to decrease significantly during the winter. Not that one shouldn’t be vigilant and aware.
IMO, in a wintery area (like the pic in the OP) much of the crime on campus was related to indoor things i.e. parties (and bad things that happen during them), clubs and bars (lots of drunk students), after parties (sexual assault is a problem on many campuses, and IIRC it was often by people that knew eachother), theft from placing things in public areas without securing them, etc.
The colder it was, the more people tended to just focus on getting from one indoor spot to another, without doing anything that might add to the time they had to be outside.
One thing I might suggest to limit or eliminate… During the winter break, people would often ask/offer ride shares to strangers (posted in student areas). Many students drove out of state for the break, and others would offer to pay for gas if they could get a ride and be dropped off at a location on the way… being in/near a city many students didn’t have/need vehicles. This was common, and I did it a few times, but usually with people I knew.
Also, although this holds true for warmer weather also, if one must walk around campus late at night, it’s always better to be in a group (preferably one that doesn’t have troublemakers), and many campuses offer security services for walking people to their cars, or to and from certain buildings. No reason to not take advantage of those services if they are offered, as that what they are getting paid to do. Also, some campuses have security phones if you need to report or call for someone. It’s probably a good idea to know where they are and how to use them.
I’d add a few other tips… but I don’t like to promote anti-good samaritan actions, as many of us that live in or around the city tend to throw a blind eye to someone in need because there is a high possibility of being scammed or robbed. For example, I was lucky enough to experience rural hospitality/help when my motorcycle ran out of gas on the highway during a blizzard. I don’t think that would happen here in Chicago.