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/sci/ - Science & Math


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10300627 No.10300627 [Reply] [Original]

How can I get away with pursuing a PhD in pure math but also being able to get a decent job (i.e. not slaving away in academia) afterwards?

>> No.10300630

>>10300627
Double major, in pure math and CS.

>> No.10300632

>>10300630
retard

>> No.10300634

>>10300630
Is that enough? I'd be taking CS classes at the undergrad level, but grad school would just be mathematics.

>> No.10300641
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10300641

>>10300634
Yes. You'll be learning pure math, but then you'll also be able to apply that pure path usefully (and make big money doing it).

>>10300632
Jelly much?

>> No.10300644

>>10300641
>be able to apply that pure path usefully
I'm interested in algebraic topology, as far as I know it's hardly applicable to CS.

>> No.10300648

>>10300644
1:
>https://en.wikipedia.org/wiki/Homology_(mathematics)#Applications
2:
>In topological data analysis, data sets are regarded as a point cloud sampling of a manifold or algebraic variety embedded in Euclidean space. By linking nearest neighbor points in the cloud into a triangulation, a simplicial approximation of the manifold is created and its simplicial homology may be calculated. Finding techniques to robustly calculate homology using various triangulation strategies over multiple length scales is the topic of persistent homology.[23]
>In sensor networks, sensors may communicate information via an ad-hoc network that dynamically changes in time. To understand the global context of this set of local measurements and communication paths, it is useful to compute the homology of the network topology to evaluate, for instance, holes in coverage.[24]
>In dynamical systems theory in physics, Poincaré was one of the first to consider the interplay between the invariant manifold of a dynamical system and its topological invariants. Morse theory relates the dynamics of a gradient flow on a manifold to, for example, its homology. Floer homology extended this to infinite-dimensional manifolds. The KAM theorem established that periodic orbits can follow complex trajectories; in particular, they may form braids that can be investigated using Floer homology.[25]
>In one class of finite element methods, boundary-value problems for differential equations involving the Hodge-Laplace operator may need to be solved on topologically nontrivial domains, for example, in electromagnetic simulations. In these simulations, solution is aided by fixing the cohomology class of the solution based on the chosen boundary conditions and the homology of the domain. FEM domains can be triangulated, from which the simplicial homology can be calculated.[26][27]
Do both, trust me.

>> No.10300650

>>10300641
I know more than you so im calling you a retard for recommending a dumb idea.

>> No.10300652

>>10300650
Clearly you don't know enough, otherwise you would conclude that it was (and is) a very, very good idea.

>> No.10300661

>>10300641
>web dev

Am i supposed to be impressed?

>> No.10300662

>>10300661
>I don't know what entry-level means.
Definition:
>An entry-level job is a job that is normally designed or designated for recent graduates of a given discipline and typically does not require prior experience in the field or profession. These roles may require some on-site training. Many entry-level jobs are part-time and do not include employee benefits. Recent graduates from high school or college usually take entry-level positions. Entry-level jobs targeted at college graduates often offer a higher salary than those targeted at high school graduates. These positions are more likely to require specific skills, knowledge, or experience.[1] Most entry-level jobs offered to college graduates are full-time permanent positions and some offer more extensive graduate training programs. While entry-level jobs traditionally required no experience, the Great Recession produced a surplus of college graduates on the job market and eliminated many entry level positions.[2][3]
Source:
>https://en.wikipedia.org/wiki/Entry-level_job
Citations:
>https://www.forbes.com/sites/ryancraig/2016/12/29/employers-mistakenly-require-experience-for-entry-level-jobs/#2d7beeda5990
>https://www.wsj.com/articles/want-an-entry-level-job-youll-need-lots-of-experience-1407267498
>https://www.cbsnews.com/news/say-goodbye-to-the-entry-level-job/

>> No.10300721

What are the purest subjects of math? The fields that currently have no applications whatsoever outside of mathematics?

>> No.10300906

>>10300627
>>10300630
Another option is medical physics. It's annoying to get into but pays well. The medical field is full of math brainlets that can't even understand a fourier transform or even just calculus. Many physics people get hired as well.

>> No.10300956

>>10300906
Wouldn't you need a physics degree and maybe even a specialized grad degree (nuclear?) to do medical physics? Why would they need (pure) mathematicians?

>> No.10300979

if you are so smart why cant you figure it out
jk

>> No.10301215

>>10300721
Abstract algebra

>> No.10301261

>>10301215
Definitely not correct, depending on what you mean by this.
>>10300721
At the moment, I'd say modern Algebraic Geometry is about as far off the deep end as you can get. Or possibly modern set theory.

>> No.10301267

>>10300627
Fintech probs.

>> No.10301273

>>10301267
Fintech wants CS or applied math PhDs + software engineering knowledge

>> No.10301650

>>10300627
Take some AI related courses and user your math skills to understand everything better than the CS people.

>> No.10301756

What can I do with a math major/physics minor? Can I still get into the cool AI and data jobs if I know my stats, Python and C++?