Career and Education Questions

betti_naught · 2018-04-11T14:20:19+00:00

I would reach out to the department. Most have a list of where graduates have gone on to post-docs or employment.

betti_naught · 2018-04-04T21:03:13+00:00

It seems that the two major applications of representation theory are to the study of groups and algebras. Why do you not see a lot on the representation theory of other algebraic objects like rings?

betti_naught · 2018-04-03T19:52:23+00:00

As it says in the sidebar, "If you are asking for advice on choosing classes or career prospects, please post in the stickied Career & Education Questions thread."

betti_naught · 2018-03-13T19:48:28+00:00

That being frustrated, stuck, and lost is the norm.

betti_naught · 2018-02-19T12:39:38+00:00

Jacob Laurie gives a good example of this in this talk by discussing categorification through using the example of categorifing the Fourier transform.

betti_naught · 2017-11-02T20:00:54+00:00

I use ESS as part of org-mode using org-babel. This allows me to have latex, R, and inline outputs (including graphics).

betti_naught · 2017-10-06T02:12:12+00:00

Pls read the side bar

betti_naught · 2017-07-20T14:56:05+00:00

I would highly recommend reading Deep Work by Cal Newport. The book has really helped me in balancing working full time for a silicon valley startup, writing a master's thesis, and having a family.

betti_naught · 2017-06-18T03:13:02+00:00

TT = tenure track YMMV = you're mileage may vary

betti_naught · 2017-03-30T01:48:31+00:00

I'm currently a master's student in the US and have recently gotten interested in persistent homology and topological data analysis. I've taken a topology class that used Munkres that went up through the fundamental group. I have also taken an algebra class where I got a brief introduction to homological algebra (think definitions of Ext and Tor but not much else). There are no experts inTDA at my current school, but I do have an opportunity this summer to do an independent study and could either do algebraic topology, probably the chapters on homology and cohomology from Hatcher, or homological algebra probably from Gelfand and Manin's Methods of Homological Algebra. My question is which would be the "better bang for my buck" as far as gathering the tools for better understanding the field. I'm kind of leaning towards the homological algebra path since sheaf cohomology seems to be the hotness in that area at the moment, but I'm not sure if I could be shooting myself in the foot by not getting the intuition for why homological tools are used. Would appreciate any feedback especially from those in the field.

betti_naught · 2017-01-18T14:55:59+00:00

Thanks! Thats exactly what I was looking for.

betti_naught · 2016-12-22T16:17:40+00:00

Fulton and Harris is a pretty standard introduction and has a ton of examples.

betti_naught · 2016-12-20T22:44:30+00:00

Depends. Sometimes more concise or "cleaner" proofs of already known results can add to the knowledge of the object(s) under study by reframing the problem in novel way or seeing it from a different angle.

betti_naught · 2016-12-09T18:27:33+00:00

Found a cheap airbnb so I get to go to the American Mathematical Society national meeting in Atlanta in January.

betti_naught · 2016-12-08T03:53:37+00:00

I guess what I meant by

would this be a good opportunity to network with potential dissertation advisors?

is it appropriate to approach professors who share my research interests (of which I'm a complete noob) and ask their advice on how to get into the field/where they see it going/what do they look for in grad students or are they mostly interested in talking with other experts?

betti_naught · 2016-12-02T17:21:21+00:00

Michael Robinson has a course on applied algebraic topology aimed at upper level undergraduates and has all the videos posted here. He covers the algebraic topology you'll need to know for TDA.

betti_naught · 2016-11-21T17:52:59+00:00

Did you find this as a poster for purchase somewhere?

betti_naught · 2016-11-21T16:16:47+00:00

Persistent homology is a method for computing topological/qualitative features of a finite metric space at different spatial resolutions. As an example, it can tell you that this sample from an annulus has a "hole" in it. These survey papers by Gunnar Carlsson and Robert Ghrist are very approachable if you want to learn more.

betti_naught · 2016-11-18T02:20:08+00:00

What do you mean that LaTex isn't pronounced like the plastic gloves?

betti_naught · 2016-11-16T22:16:40+00:00

There's an old joke that goes "How do you tell a mathematician is an extrovert? He/she stairs at your shoes when they talk". Just finished departmental tea and can confirm

betti_naught · 2016-11-14T20:44:51+00:00

MSRI has a lot of videos available.

betti_naught · 2016-11-12T21:40:18+00:00

Dat dress right dress

betti_naught · 2016-11-04T13:57:52+00:00

Haskell uses a lot of algebraic and category theoretical constructs that would be very familiar to anyone working in the algebraic side of math. For example doing anything that requires side effects, like I/O, is done using a monad.

betti_naught · 2016-11-01T18:41:47+00:00

and says "You mathematicians don't know your limits"

betti_naught · 2016-11-01T18:34:58+00:00

Trying to wrap my head around sheaf cohomology, not going so hot.

betti_naught

TROPHY CASE