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Graduate Studies in Mathematics

From Wikipedia, the free encyclopedia

Graduate Studies in Mathematics (GSM) is a series of graduate-level textbooks in mathematics published by the American Mathematical Society (AMS). The books in this series are published in hardcover and e-book formats.

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  • Tips for applying to graduate programs in mathematics
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Transcription

I'm professor Sami Assaf. I am a professor at the University of Southern California, and I'm a graduate of Notre Dame from 2001. I took the honors math courses, and I was also a philosophy second major. I went to graduate school at Berkeley, and I loved it. Then, I went and did a post-doc at MIT and I loved it. Now I'm a professor at USC and I love it. I obviously really like math and I want to tell you a little bit about the process of applying to graduate school: the logistics of it, how to go about doing it, and how to go about picking a grad school that's going to work for you. They're not all the same. They all have very different characteristics, and it's important to find one that a good fit for you. The first thing to know is, from the other side of things, when we get applications for graduate school, we get a lot of applications. We get more than we can read. Even if you're willing to read them all, we can't. The first thing, the most important thing when applying to grad school, you need to make the cut. Okay, there is a cut that most schools will use, and they're not gonna read certain applications. What this means for you is, take your GRE's seriously. Okay, you do not have to ace your GRE's. It's not important to get a perfect score. It doesn't necessarily help you to get a perfect score. I'm sure it doesn't hurt, but what you need is you need to be above that minimum bar. It varies from school to school so I'm not going to give you a number, but study and do well because that's the main thing that we use. We just we have a low cut off and we just don't look at applications below there unless there's some compelling reason that we already have to look at those applicants. So, that's one way. Don't get weeded out. The first step to getting into grad school is you want someone to read your application. Take your GRE's seriously. Do well on them, and hopefully that'll happen. Okay, so now you've made the cut, and we're gonna read your application. I need to remember your application. I'm gonna read 100 applications and some other I sort of scim because, honestly, it's like so many applications. Your application should stand out. How do you get is a stand out? One thing not to do is say I love math. I would love to find a better proof for the four-color theorem. I think it needs a better proof. First of all it doesn't. Second of all, everyone says that, even though it doesn't which is weird. What you need to do is figure out just sit by yourself and think: Why do I love math? What excites me about math? Why are math classes my favorite classes? What was a really great moment in a math class and why does it stand out my mind? And after you write your essay, about how much you love math and how enthusiastic you are, you should ask yourself: okay, if somebody else read this essay, if one my professors read this essay and my name wasn't on it, would they know it was me? If your essay is generic enough that any of you could have written it, that's not a good essay. Because it doesn't really speak about you. There are a lot of great students. There are a lot of enthusiastic students. What makes you an enthusiastic student, personally? It needs to be something about your experience. Just think about the memories that stand out in your mind, and you will find the thing to write about. This shouldn't be a really stressful thing. If you just think about your experiences and what you love, you will find that thing that that makes your essay stand out. That's one thing we look at when we're reading applications, but what I do know, we have that minimum bar. We get rid of most of the applications that way. Down to readable number. Then I go through and I start reading letters of recommendation. First. I don't read your essay first. What's more important to me than your essay is: What do your teachers say about you? What do your professors say? How do you get good letters of recommendation? When you are asking someone for a letter of recommendation always ask with way out. If you have time could you please do this? That gives the professor way to politely decline. If the person is not gonna write you a great letter, that person will decline. Sometimes they decline because they don't have time, so don't take it personally if someone doesn't write your letter. But give the person an out. If they don't think they can write you a really strong letter, it's better to ask someone else. How do you get a strong letter? You can stand out in someone's class by going to their office hours all the time and asking them tone of questions. If you actually have those questions. A better thing to do is to do an RU, one of the research experiences for undergrads, or do research or a senior thesis with a faculty member. That way the person gets to know you, gets to know you working, and gets to see you in the environment where you're struggling to understand something. Math is hard. If it weren't, we wouldn't do it. Right? So at some point, you hit something that hard for you. If you haven't hit it yet, you will eventually. Trust me. It does get hard. How you persevere through that is what tells us how you're going to do you in graduate school, because in graduate school, it's pretty much all hard. Right? You have an open problem that no one has solved yet. Maybe a lot of people thought about it too, so it's not just because it's sitting there no one bothered to think yet. People have tried and haven't succeeded. If you're going to succeed, we need to see that drive and that passion. If you do an RU where you work and do a research project here with one of the professors at Notre Dame, or you do a senior thesis where you're just trying to understand difficult deep mathematics, that tells us, gives the professor a sense of how your going to be. That professor can write a letter for you, and that letter will stand out. The same way that your essay will stand out. That letter will stand out. It'll be clear there's an individual and this professor is talking about an individual. An individual who is distinct from everyone else. It's not gonna be interchangeable. We read these glowing letters, then we read the students essays, and we are, like, wow, this is someone that I think would be a good fit for our department. So, that's really the key to making your application work for you. Theories taken seriously. Write a letter that's unique to you and shows your enthusiasm and, hopefully, your competency, hopefully. You're all honors math majors. You're all good at math, but we were really want to see your enthusiasm. We want to see how you persevere through difficult problems. That's where your professors come in. They're the ones who are going to watch you and it's okay if you get stuck. It's okay. It's okay if you are doing a problem, and you don't solve it. It's how you approach it, how you handle it, how you redirect, and try to solve it. Not to solve every problem you try. Trust me, I can give you a few right now. Actually, if you solved them it would be pretty cool. There a lot of really hard problems and that's okay. The thing is how do you approach it? How do you tackle it? That's what's gonna tell us, are you gonna be successful doing research on your own? That's sort of the idea. Then, of course, the other component to get into grad school, now that you've got your application already to go, is where do you send it? It's important to apply to a spectrum of schools. It's important to talk to the advisers here at Notre Dame who you know you best. To get their input. You can choose to ignore it. Some of us did. But it's always good to get their guidance. You know they will help you know, okay, should I be applying to Harvard and MIT and Berkeley and Stanford? Maybe that's enough. That would be weird. Should I apply to a spectrum of schools and then also which schools? They are very different, so apply to a spectrum. Once you get your acceptances, now think seriously and go visit the school. When you visit the schools, talk to everybody. You have professors definitely talk to them. Talk to the students, but talk to the second-year graduate students. First-year graduate students are bright eyed and bushy-tailed, third-year graduate student made it and they're gonna do great, second-year graduate students you're gonna find some of each. You're going to find students doing great and loving it and your going to find students who are struggling. You need to say, where am I going to fit in? Which one of these students am I'm going to be? Am I going to be the ones who are going to succeed. Why are they not? Why are they not happy? Why are these guys so glowingly happy? The second years, that's where your good information is. Talk with them if you can stay with the most graduate programs facilitate you staying with one of the other students. When you visit, that would be a great thing to do. Get to know them, what they're like. What it is like being a graduate student at that school. It's different. It's so different from school to school.

List of books

See also

Notes

  1. ^ The hardback is ISBN 978-0-8218-3800-6.
  2. ^ This book has a companion volume: FTOAN/3.S Fundamentals of the Theory of Operator Algebras. Volume III, Richard V. Kadison, John R. Ringrose (1991, ISBN 978-0-8218-9469-9).
  3. ^ This book has a companion volume: FTOAN/4.S Fundamentals of the Theory of Operator Algebras. Volume IV, Richard V. Kadison, John R. Ringrose (1991, ISBN 978-0-8218-9468-2).
  4. ^ This book has a companion volume: GSM/32.M Solutions Manual to A Modern Theory of Integration, Robert G. Bartle (2001, ISBN 978-0-8218-2821-2).
  5. ^ The hardback is ISBN 978-0-8218-2161-9.
  6. ^ The second edition of this title is volume 239.
  7. ^ a b Two volume set is GSMSET (2002, ISBN 978-0-8218-3333-9).
  8. ^ The second edition of this title is volume 175.
  9. ^ The third edition of this title is volume 232.
  10. ^ This book is a natural continuation of volume 74.
  11. ^ This book is a continuation of volume 73 in which chapter 1~12 are.
  12. ^ The second edition of this title is volume 157.
  13. ^ The second edition of this title is volume 181.
  14. ^ The third edition of this title is volume 165 and 180.
  15. ^ The second edition of this title is volume 238.
  16. ^ The second edition of this title is volume 231.
  17. ^ a b Two volume set is GSM/165/180 (2017, ISBN 978-1-4704-4174-6).

External links

This page was last edited on 22 May 2024, at 20:06
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