Depends on how far you walk.
Moon boots, that are high, and leather, if you're going through bad snow.
For on campus, I'd go for first responder boots. Less weight, and good grip on all surfaces.
If you're in the dorms, or park in the garage, I'd go for the latter, with a good coat of kiwi water resistant spray.
You really don't want massive boots on, all the time, unless you're going through heavy snow.
You might look like a dork, either way, but smaller, with good grip, is my choice, unless I decide to get extra walking in and hike to campus. Just make sure to have good socks, that can tuck in, along with your pants. Zipper sides on the boots, with a velcro clasp is a good bonus. Easy on, easy off.
Bean boots wouldn't be my first choice, but they should work just fine if you don't have the cash to get an all weather set of responder boots.
I use : https://www.amazon.com/gp/product/B000V2J92W/ref=oh_aui_search_detailpage?ie=UTF8&th=1&psc=1 for bad weather
And a large pair of hi-tec moonboots for when there's two feet of snow. Anything under 6 inches in my way, and I just tuck into a pair of the ones above.