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When I started to face arXiv as an daily newspaper and proved 1 simple lemma everyday, things really improved. And it doesn't mean only around the thesis problems, but also possibly new work with your colleagues (some of them will be your collaborators)

This is one of the most useful and relatable videos! I've actually started my 4th year now in the Math Ph.D. program, and your advice for 3rd/4th years is very helpful! Now, to make my teaching and research statement...

@JoelRosenfeld

10 ай бұрын

I’m glad you liked it! Best of luck to you!

Hello, I am very happy for you on your first sponsorship. I have been watching your videos since a long time now. All the best!!

@JoelRosenfeld

10 ай бұрын

Thanks! I really appreciate it!

one of the important advice that perhaps I can share is this: try to do Latex/overleaf right from starting of your research work. In this way, you can wrap up a lot early at your last moment.

@JoelRosenfeld

10 ай бұрын

That’s good advice. Type everything up as you go. Whether it’s for a paper or a dissertation. Saves tons of time later. Lately, I work almost exclusively in latex.

@angelogalimba133

14 күн бұрын

Not only for research but also for assignments and homeworks. This helps you navigate the ins and outs of latex.

Hi! Just wanna thank you for your content! It gives so much chill vibes idk) I am an undergrad yet, but I do consider going into grad school in my lifetime, so thanks for the advices. Congrats for your first sponsorship!

@JoelRosenfeld

10 ай бұрын

Thanks! And I’m glad you like the video! Do you have anything you are wondering about for grad school?

Well done on the sponsorship. Great and informative content as always!

@JoelRosenfeld

10 ай бұрын

I'm glad it went over well! First time putting this together. Honestly, had me a bit nervous.

Always enjoy your videos !!!! I was thinking if u could make a video where you talk about every book you've read from undergrad to PhD ....I mean would be cool to see how your journey as a mathematician has been ...

@JoelRosenfeld

10 ай бұрын

I’m glad you liked it! I’ve been thinking about a video like that. I might make it at some point. I appreciate the suggestion!

See also videos by Margot Gerritsen, Em Prof from Stanford and my former advisor, has some nice grad videos. She's a computational math person. Worked along side Gene Golub, Father of Numerical Lin Alg.

You need to publish along the way...well before you feel ready. It also... 1. Takes pressure off you to write a bunch of chapters of your dissertation. 2. Gets your name into the community 3. Provides motivation along the way. Don't just rely on the PhD thesis to be end all be all. 4. Papers published have been peer-reviewed by other experts. So, your defense will be a slam dunk.

@JoelRosenfeld

5 ай бұрын

Absolutely. What makes or breaks job applications in academics is the number of pubs. A decent dissertation should result in at least 3 publications, but I have known students that had as many as 26 publications when they graduated.

@drticktock4011

5 ай бұрын

@@JoelRosenfeld 26! How? Even fast-tracking a manuscript is on the (short) order of months. I had 3. One of the PhD superstars in our Dept had 5.

I appreciate the content and agree with what you have stated, but I might have made an additional comment regarding internships. I personally would say 2 or 3 internships: End of 1st year, end of 2nd year, and end of 4th year. These are especially important for those going into more applied areas and those interested in non-academic careers.

@JoelRosenfeld

10 ай бұрын

Yes definitely. I plan on making a job video in the future to talk about that. I push my students to apply for internships in year 3 and 4, and it’s really worked out for some.

Please make a video about functional analysis I want to get into it, I have Rudin three books but I am only studying the first one

@JoelRosenfeld

9 ай бұрын

Functional Analysis is pretty big. I have a few videos that go into some of it. The first half of my control theory course on here is all about functional analysis and distribution theory. And I have older longer form lectures on here for Tomography, which goes into the Schwartz space and Fourier transforms. My plan is to get to functional analysis with my current analysis series, but I want to build up to it. Is there a particular topic you'd like me to cover? I could do a one off video here and there, just to spice things up.

@gustavoholo1007

9 ай бұрын

@@JoelRosenfeld There's no particular topic I'd like in particular, I like how operator theory sounds and how spectral theory might be related to quantum physics. It's just that I like how everything about functional analysis sounds. If I could pursue higher education I would definitely double down on analysis like you. In general I like analysis, I'm kind of interested in signal processing too. There aren't professors in my current undergrad university that seem to have the same affinity so I'm kind of on my own exploring these topics. Here probability and statistics has the most focus.

@gustavoholo1007

9 ай бұрын

@@JoelRosenfeld I'm really looking up to more of your videos, I'll watch the older videos you mentioned

definitely keeping this video saved.

@JoelRosenfeld

10 ай бұрын

I'm glad you like it!

Yes.

@JoelRosenfeld

9 ай бұрын

Yes, indeed!

Is it possible to do a PHd while also working, possibly by not working as a TA during the PDd? I also work as a remote software contractor but want to keep pursuing mathematics as it is my passion.

@JoelRosenfeld

10 ай бұрын

Technically, it is possible. You don’t need to have an assistantship to be a graduate student. However, most of the people I have seen go this route dropped out before too long.

I'm a bit confused, in my country (eastern europe) it's 3 years of bachelors, 2 years of masters and then 4 years of phd, we are required to write a thesis at the end of each of those. so in the US it's 3 years of undergrad and then it's 5 years of masters merged with phd, right?

@JoelRosenfeld

10 ай бұрын

A bachelors degree takes 4 years in the US. And then, yes, the masters and PhD are frequently merged together into 5 years (depending on the program). So looks like it's 9 years total in each case.

@Heyu7her3

6 ай бұрын

I'd say "no" because 1) many students enter with a master's degree & it has no bearing on how quickly they finish, & 2) at many schools, finishing the first 2 years is not equivalent to the required courseload for a master's degree.

@andrewkulumbetov3786

4 ай бұрын

I did 4 years of bachelor's in Russia, 2 years of master's in the U.S. and starting my 5-year PhD in the U.S. But I will try to finish it in 8-9 semesters.

That sounds like an absolute nightmare

@JoelRosenfeld

10 ай бұрын

That last year really was.

Sha baby. Poor thing. Hope everything is going well for you.

The first 4 years does not sound too bad

@JoelRosenfeld

9 ай бұрын

The challenge in the first couple of years is the qualifiers. These wash out a big number of students. If you get through those, you are home free until the defense, more or less.

Almost likely all my own fault, but completing my PhD felt like a huge anticlimax. Anyone else?

@JoelRosenfeld

10 ай бұрын

That’s pretty normal. When you start it seems like an insurmountable task, but by the time you finish, you have a much more grounded view of academia.

@sv-xi6oq

9 ай бұрын

Care to elaborate?

man this video is for like 4.23% of the population. I came here to see something interesting and is only misleading information specifically tailored for us study system.

@JoelRosenfeld

10 ай бұрын

How do you find it misleading? That isn’t my intention. I said in the first sentence that we are talking about US PhD programs, and if you look at the last three years of a PhD in the US, it isn’t all that different from the three years of a European PhD program. Really, the US system rolls the masters and PhD into one. I plan on collaborating with colleagues overseas to give the European system.

@the_infinite_lagrangian

10 ай бұрын

@@JoelRosenfeld ok, great then, looking forward, the title is misleading. it is quite different, in the EU we don't have to teach usually, also we don't have exams that are make it or break it. it is quite different. moreover, when we start a PhD we know exactly what we will research each year and what is the outcome of it, or at least to start a PhD you have to submit a plan a priori

@JoelRosenfeld

10 ай бұрын

@@the_infinite_lagrangian depending on the program, it’s really not that different. The make or break exams are usually done at the end of the masters. Right before the PhD begins in earnest As for the PhD portion, the last three years, many programs have an oral exam too. This is where you present your plan for a dissertation, and if approved, you go on to do it. This changes from program to program. Also in the third year, you get your advisor. So from the third year on, it’s pretty similar. Teaching can linger on, but many students can also be funded to only do research. Again, this is depending on the program. More common in STEM. Pure math less so, but I try to fund all my students after their second year

@the_infinite_lagrangian

10 ай бұрын

this is not true at all. you get your supervisor before you start your PhD. check Humboldt (Berlin), Stockholm, Barcelona, you name it, the system is very different. it varies from place to place but compared to USA it is very different. Also you usually end in 3 years the PhD and can get to a maximum of 5 years after which they kick you out. This being said, all plans on top uni are for 3 years, at least in theoretical physics.@@JoelRosenfeld

Is there a way to get around being a TA?

@JoelRosenfeld

9 ай бұрын

Yes. I try to fund all of my students as RAs. That requires external funding, which is much more common for applied math than pure math. Engineering and lab sciences often have many RAs. You’ll likely have to do some TA work for your PhD but there are ways to minimize it. You can also seek out NSF Graduate Research Fellowships.

@endostatica1405

9 ай бұрын

@@JoelRosenfeld thank you so much

@Heyu7her3

6 ай бұрын

Many programs, esp. in the arts & sciences, do not allow that because teaching IS the funding... the PhD students teach/ assist with undergrad courses.