Ask HN: Am I wasting my time pursuing a math degree?

Certainly getting pursuing a math degree is not a waste of time compared to only studying math on your own.

Washington has a fantastic math department, one of the top 30 in the country. Max Lieblich is an outstanding algebraic geometer and a brilliant lecturer. They have one of the top combinatorics research groups in the world. John Lee is a great differential geometer and a well-known and well-regarded author. William Stein is an expert in number theory and single-handedly started the SAGE project.

Do you think you could learn math better without these people's help, or with it?

The real point of a good university class, once you get through the required freshman stuff, is that it will expose you to a lot of amazing material that you don't know is out there yet, and simultaneously it introduce you to professors and students who are excited about this stuff. I anticipate that any of the professors I mentioned would be very happy to guide some independent learning/research if you finished some basic classes, showed some motivation, and proved that you were good.

Good luck!

I see many strange statements in your text. The choices of a freshman aren't permanent. You can always go back an change your degree program; it just may take longer. A friend of mine in college decided in his 5th year of engineering (it's a 5 year program there) to switch to physics, so he was in school for about 8 years. Even if UW says that you cannot change majors (very unlikely), you could always switch colleges. The question of course is where your money comes from, but you didn't say that was a big issue, only a parenthetical one.

Second, you didn't say anything about getting a minor in CS; why not? What's preventing you from taking CS courses anyway? Even after you fulfill the CS minor requirements, take a couple of extra. That would also indicate to prospective employees that you are interested in learning things even when it isn't required.

Third, I took too much math in college. My math department let people fulfill either the pure track or the applied track. I did the pure and most of the applied. I can say that the calculus of variations has never ever been useful for anything I did later, and what I learned most from Principles of Real Analysis II was that I wasn't interested in pursuing real analysis as a career. Oh, and "Groups, Rings, and Vector Spaces" was the only C I got in college. Taking that class could have been useful if I decided to go into particle theory in physics grad school. I instead went into biophysics.

In some sense we are all autodidacts, it's just some of us have more direct help than others. Sure, you could figure out most of this on your own, but it really helps to get help from others when you are stuck, or to get a sense of which problems are important, and to learn what's new vs. what's well-known.

As for working at Google, MS, etc - you do realize there are many positions at those companies, right? A friend of mine dropped out of school as a film major, did some work helping out with local GIS companies, moved to the Bay Area to work with a GIS software provider, then GIS at Autodesk, and is now Lead UI Designer at Microsoft Games. What you major in can help you advance faster on your career path, but that's only if you know what you want to do. As you don't, figure out what it is you want to do, and in the meanwhile, finish off your BS in math/CS minor while talking to people about options.

Hint: "work at Google" is not a good career goal. After all, what are you going to do after you are hired by Google? Another hint: don't you have an advisor you can talk with?

I finished a PhD in pure mathematics three years ago and then abandoned academia because it's stale. My degree opens a lot of doors, enables me to attack problems that nobody else can fathom, and generally allows me to do whatever the hell I'd like.

While completing my degree, I devoted all of my spare time to building real products, coding all night, and learning to sell my ideas.

A math degree is a valuable asset if you love to do math. It'll give you the opportunity to solve lots of interesting problems, but only if you also make things that non-mathematical folks can understand. You must learn to communicate your ideas to anyone that will listen.

Develop proficiency in some platform, build a product, solve a problem, and learn how to talk about it -- this is all trivially routine, but it goes a long way when it comes to executives, investors, managers, and their ilk.

Eventually, you'll reach a point where you'll need to focus exclusively on mathematics... that's fine and everyone will understand. But before then, be sure to do something practical.

Companies such as Google and Microsoft will narrowly focus on algorithms and data structures, so if you take three or four classes in these areas, actually learn the material, and can code very, very well, you'll have no problem with a math degree. Just do an internship.

If you don't finish your degree someone will eventually hold it over your head and ruin your day (go work somewhere else if you want a raise, wait... you can't!) When you get those 'why do I need a degree' feelings remember that it is not to get a job, it is to get a better job. For lack of better expression, certain people in industry will try to make you their bitch. You need the ability to walk away.

As far as learning, you are not paying to learn things, you are paying to be tested on things for which you receive a stamp of approval.

As a holder of two math degrees, I have exactly one thing to say to you: if you want to get a job when you are done, do an internship or three. If you get a couple of decent internships, demonstrating your CS skills becomes irrelevant, because you'll have already done it on the job.

You will never be wasting your time if you're doing something you enjoy.

It is far easier to informally demonstrate your CS skills than to informally demonstrate your math skills.