Preparing for Candidacy

[@Preet_1223]

Woohoo, another grad student video! Question: do you plan on continuing the Interview series. Really enjoyed the collaboration with other people and seeing the inside of a PhD program

[@jackbrolin7709]

I agree. Would love to see more detailed proofs and theorems about algebraic concepts, as you cover a lot of analysis

[@PhDVlog777]

I will do more interviews in the future but for right now, I want to focus on the measure theory review. The interviews were really fun, so I definitely want to return to them soon.

[@EdmondChoi513]

I’m taking my first real variables course this summer and if I do well I think I will pursuit pure math. Thank you for your videos man they been super helpful to see what’s next but also ur just very entertaining. Keep it up mane

[@SergioAbarca9]

As a Dutchman who did 1 year of grad school in the US I highly recommend you come to Europe! After living in both the US and several countries in Europe I personally find Europe infinitely better! To each their own of course, but at least give it a try 😅

[@Annihillation]

Is the European system really different from the US? Like, do you spend all time doing research?

[@avy1]

@@AnnihillationI think so, at least that’s how it goes in the Netherlands. You do your masters and then you can apply for PhD positions and you can immediately start working on your research. I think the university can still kick you out though in the first year of the PhD program.

[@Annihillation]

@@avy1 kicked out by some sort of qualifying exam? Or other requirements, like progress in research? I am sorry for guessing, I really don't know, but I am intrigued

[@avy1]

@@Annihillation so in the Netherlands doing your PhD is a job, the university pays you to do research on the thing you were hired to do. If the university doesn’t like how you are performing at your job, they can fire you. But this is only for some grace period I think, after a year you are safe. That being said funding for your research does run out so it is in your best interest to actually finish what you started.

[@trixxy9177]

Are you still planning on doing that measure theory series? No pressure it would just be really useful and fun to watch.

[@PhDVlog777]

Yes of course, I am recording videos in various locations, so it will take longer than usual. But they will come to the channel soon.

[@ApxPenguin]

That’s super cool that you’re going to Spain it’s a beautiful place I love it

[@cooking60210]

I've been to Banff for a math conference too. It's nice.

[@samsanchez748]

I guess the Radahn Transform was applied to Mohg but that is a fringe application

[@PhDVlog777]

Reminds of the Malenia decomposition... oh the horror...

[@profraihan]

Where in Spain will the conf take place?

[@erickleuro6159]

I got confused with your timeline, I thought you were already a candidate, either way, good luck and thanks for sharing your mathematical journey

[@trixxy9177]

Did you visit Moraine Lake when you were in Banff by any chance? I know it’s very famous; I’ve been there a couple times.

[@PhDVlog777]

No, just Lake Louise, I did not get away from the conference hall much. Just the day we visited the amazing lake.

[@Blake_47]

As a first year Physics student this is pretty easy 😜

[@vincentzevecke4578]

Their are many theoretical programs at Baniffp

[@p4rity]

Awesome picture on the board as always and have fun in spain! How did the exams(s) go last week?

[@jaimanparekh4616]

Is there a connection between the Radon transform and the Peter-Weyl theorem here?

[@oo_rf_oo8824]

good luck on the conference!

[@TermC-ni9kn]

I remember in another video, you said after your PhD you will start looking for work. My question is do you plan to enter academia or are you going into industry?

[@abhijitbhattacharjee3157]

I want to ask a question : How many research paper does one need to publish for pure math PhD in your university / any university in USA in general ?

[@PhDVlog777]

It depends upon the advisor, the typical advisor will say two or three but if the result is big, then one paper may be enough.

[@reversicle212]

I'm an average IQ high school student who has no specific interest in any subject for college other than mathematics/physics. Now I'm sort of edging towards the mathematics side (bcz I find it more fun than physics, and also mechanics + thermal physics is horror to me). But as I said, I'm average iq not that intelligent + not the best all star 4.0 gpa guy.... so would you suggest someone like me to pursue math at college?

[@danielmaxhoffmann1917]

Hey, I am an assistant professor dude in math and I spent in the bussines several years. From my personal experience, "commitment" > "iq". Sure, if you want to crack some hardcore branches of math, you need to be smart (otherwise you will be too slow to be effective enough). But here I mean - to solve problems in say additive combinatorics. There are many branches in math where it is more important to accumlate knowledge instead of getting this one nasty trick to solve the entire thing. Anyway, I had friends with high iq, which were already publishing scientific papers during their undergraduates, but they burn out, lost interest, or went to industry. I was not like them - I was more like you. After some time you will understand what are your weak-spots and strong-sides, and you will be able to use that to select the best strategies for you. And remamber - it does not matter where you started your journey, it matters how long and exciting it was!

[@galaxy5201]

Hi there ....I want to pursue research in mathematics....but what scares me is the qualifying exams that PhD students have to give to get into research fully......please share some tips on what are the basic topics that we need to cover before applying for PhD..and also tell me whether the courses on real and algebra is taught during first or second sem of PhD course???? PS I love your videos

[@PhDVlog777]

The biggest tip I can give to those studying for qualifying exams is to communicate directly with those writing the exam and understand completely what they expect form you. Tailor your studying to the demands of the department. Each department is different and will require its own unique approach. If you study pure math, then you must understand real/complex analysis (measure theory included) and abstract algebra (group theory, ring theory and field theory.) These topics are usually covered in the first year. It is good to pick up a few textbooks on these subjects and read through them independently alongside the class to get a greater understanding as well since each other approaches the topics in his own way. I hope this helps!

[@galaxy5201]

@@PhDVlog777 thank you. Is there a way I can reach u directly via Messages….since you are also a PhD candidate I want to ask you few things….can you share any of your social media so that I can have a talk with you. Please.

[@vincentzevecke4578]

Bs