<p>Look, I think before you go into a PhD program, you need to learn a lot more about being a professor.</p>
<p>$100K? Not likely, not likely at all. For average faculty salaries, you can look at The</a> Chronicle: AAUP Faculty Salary Survey. Granted, this is all fields together, so for the humanities this is a bit high, and for business/engineering/hard sciences it's a bit low. For math professors specifically, you can look at Annual</a> Survey of the Mathematical Sciences. As a full professor, it is more likely you can get to $100K. However, remember that to get to full professor, you have to get through tenure (usually 3-8 years, depending on the institution) and then another promotion after tenure (usually 3-6 years). So it will be awhile before you make that kind of money. Your PhD will take you about 4 years to get in math - sometimes a little less, sometimes a little more.</p>
<p>Do professors work hard? Oh, yes. There are teaching-focused schools and research-focused schools. Both work about the same amount, but the work is divided up differently. First, teaching. In a teaching school, you will likely teach 8 classes a year (4 a semester). A research school is more likely to be 4 classes a year (2 per semester). You will do prep for those classes, which is really time consuming (lesson planning, grading). Keep in mind that the classes can range anywhere from 10 to 250 students per class, depending on the institution. Your classes also may be a couple different classes (ex: you teach Math 101 and Math 235, two classes each per semester) r you could teach a variety of classes. The more variety, the more work, because you have to prepare each of these classes. You also will have office hours for several hours a week - the number depends entirely on the institution. I've heard anywhere from 3-20 office hours a week required. There are generally more office hours at a teaching school.</p>
<p>Then, there is research. All schools require research for tenure. This means they will expect you to publish a certain number of articles, and in some fields (such as history), they'll expect a book in addition to the articles. Math, obviously, just wants articles. You will also be expected to present at conferences around the country. When your tenure review comes around, they will look at not just the number of articles published, but also the quality of the journal and the "impact factor" of your articles. If you are at a research institution, quality of journals and "impact factor" will matter much more. Additionally, you will be required to publish much more if you are at a research institution (that's why you teach fewer classes). Your publications pre-hire will not count for tenure.</p>
<p>Finally, there is service. You will be expected to sit on committees, review boards, and sponsor student clubs. These things are not optional, and they are looked at as part of your tenure review. Service activities are far more time-consuming than you would think. Attending conferences (without presenting) also falls within this category.</p>
<p>Professors pre-tenure generally work an absurd number of hours. Twelve to fifteen hour days are not unusual, and weekend work is a given. Post-tenure, while you cannot get "fired," as Sakky says, you also want to earn promotion to full professor and continual raises. Professors who slack are frequently not given these things. They may also get the worst committee assignments. Also, all tenured professors are expected to continue committee work, especially since some of those committee assignments would be rather treacherous for an untenured professor. The vast majority of tenured professors, even full professors, continue to serve, publish, and obviously teach (which is not an option, ever). So while they may not be working those hours they worked when they were untenured, they will at least work a 40-hour week.</p>