The sources of university funding and spending on administration has been broken for a long time.
What does a graduate math program need? A building with some offices and classrooms, wifi, email service, maybe a couple of secretaries and janitors, office supplies, and salaries for students and researchers/instructors.
What need does a math program have for any but the most basic administration? That's where all the money is going, where the biggest growth in spending is going.
You could cut university admin costs by 75% and lose nothing. Start with the top 25 university presidents who all earn a slightly rounded up 2 million a year and more.
…and money to go to conferences and summer schools, and money for software licenses (especially in applied programs), and department funds to bring visiting academics, and the following things that get lumped under administration: money for grad student food pantries and childcare because funding streams for PhDs don’t provide for good salaries outright, and job advising centers because the math job market is a crapshoot, and free student health clinics for psychological and physical health because doing a PhD in any condition is rough…
Who pays for all that? Usually it's not the students or even private funders / donors. Most of the money comes from one level of the government or another, and it comes with all kinds of regulations and requirements. Complying with that requires a lot of specialized administrative staff.
Most of the time, when you hear a politician saying that universities should / should not do X, they are effectively saying that universities should spend more on administration.
Universities with a residential campus have a lot of staff in functions unrelated to the academic mission, such as student housing, food services, healthcare, or sports facilities. If they have to compete for students instead of most people just automatically choosing the nearest university, focusing on these tends to make them more competitive. And while student amenities are not particularly important to PhD students, they are important to the university if it also educates undergraduates.
Then there is the organization chart. In a traditional university, the faculty senate (or another similar body) is in charge and all administrators are subordinate to it. But the modern world prefers centralized organizations, with administrators at the top. And whoever is in charge also determines the priorities of the organization.
There are extreme downsides - for many colleges athletics is a money-maker. So is administering IP. There's is also lots of real estate, which appreciates value, but needs maintenance.
The big reason for all the extras is that it makes the school known, in a very big and important way. They host conferences, have archives that receive donations, give out awards.
Donors give all sorts of weird tasks - and funding to achieve them.
Modern colleges are so many different things.
There is a subset of colleges that adopt the "keep it simple" approach, but they often run into lots of trouble. The big problem is without doing tons of stuff, people forget they exist.
It's a bit like drug companies advertising at the super bowl. They hate doing it, but don't have a choice.
Cut the top 20 salaries in half and fire 10% of the staff who are not directly involved in academics (must teach, learn, or research) for starters. Sever any major athletics organization (i.e. football, basketball, etc) into a separate legal entity with something like a license fee to the university based on team revenue as a percentage so funds flow exclusively in one direction.
University admin work expands to the available workforce and I've heard first person accounts from long time senior university staff about admin employees who literally didn't do anything of any conceivable consequence.
I mean actually breakdown exactly where the spending is going and then show the cuts.
You can say “cut salaries in half” about any industry. You could say it about software engineers. But just because you say that doesn’t mean it’ll work out well for the industry. Non-minimum wage salaries should be market driven. I doubt you could just cut salaries in half and keep a reasonable work force.
What does a graduate math program need? A building with some offices and classrooms, wifi, email service, maybe a couple of secretaries and janitors, office supplies, and salaries for students and researchers/instructors.
What need does a math program have for any but the most basic administration? That's where all the money is going, where the biggest growth in spending is going.
You could cut university admin costs by 75% and lose nothing. Start with the top 25 university presidents who all earn a slightly rounded up 2 million a year and more.