Math PhD prospects in industry

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Discussion Overview

The discussion centers on the prospects for individuals with a mathematics PhD in industry, particularly for those not pursuing academia. Participants explore the relevance of specific mathematical fields, programming skills, and teaching experience in enhancing employability in various sectors, including finance and applied mathematics.

Discussion Character

  • Exploratory
  • Debate/contested
  • Technical explanation

Main Points Raised

  • One participant expresses uncertainty about the employability of a math PhD focusing on PDEs and mathematical physics, particularly in relation to kinetic theory, statistical mechanics, and QFT.
  • Another participant suggests that programming skills, especially in C++, and familiarity with software like MATLAB or R, significantly enhance job prospects in industry.
  • It is noted that the ability to explain mathematical techniques to non-technical audiences can influence their application in industry, with Monte Carlo simulations and Markov chains being more favorable in finance compared to QFT.
  • A participant contemplates taking programming courses after prelims, questioning the current state of the math-finance job market and the ease of obtaining a position in quant analysis with a strong background.
  • One participant argues against formal programming classes, suggesting self-learning and demonstrating practical application of programming skills during graduate studies may be more beneficial for employability.

Areas of Agreement / Disagreement

Participants express differing opinions on the value of formal programming courses versus self-directed learning. There is also uncertainty regarding the current state of the math-finance job market and the specific employability of math PhDs in various applied fields.

Contextual Notes

Some assumptions about the relevance of specific mathematical fields to industry applications remain unexamined. The discussion also reflects varying perspectives on the importance of teaching experience and the ability to communicate complex concepts to non-technical audiences.

Geometrick
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I have some questions about what direction to take in grad school. First of all, I don't really think I'm going to pursue the academia route. With this being the case, I'm wondering what a math PhD's prospects in industry are.

I plan on pursuing PDEs and mathematical physics. Some of the professors at my school are very applied, I would definitely consider doing something in kinetic theory or statistical mechanics, but I would love to do something in QFT and PDEs. How will this affect my employability? I actually wanted to also take some Probability and maybe even work in Statistical Mechanics.

Any advice or input is greatly appreciated.
 
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It helps a lot to get a job in industry if you have some C++ programming skills. Failing that, being good with computer packages like MATLAB or R will greatly increase your employability.

One other thing that will help is undergraduate teaching. Something that influences what mathematical techniques do get used in industry is how well you can explain them to non-technical people. For example, mathematical techniques that involve monte-carlo simulations or Markov chains tend to be used a lot in finance, because you can easily explain what's going on to someone who doesn't have a lot of technical background. Things that involve QFT tend to be less used because it's harder for non-technical people to understand.
 
twofish-quant said:
It helps a lot to get a job in industry if you have some C++ programming skills. Failing that, being good with computer packages like MATLAB or R will greatly increase your employability.

One other thing that will help is undergraduate teaching. Something that influences what mathematical techniques do get used in industry is how well you can explain them to non-technical people. For example, mathematical techniques that involve monte-carlo simulations or Markov chains tend to be used a lot in finance, because you can easily explain what's going on to someone who doesn't have a lot of technical background. Things that involve QFT tend to be less used because it's harder for non-technical people to understand.

Hmm I see. I think once I pass my prelims I will take some programming courses, who cares if they are undergrad courses, I need to start somewhere.

I thought the math-finance world was really on the decline? How easy would it be for a math PhD from a top 15 program with good programming skills to get a job in math-finance or quant analysis?
 
It's my opinion that programming classes may not be the way to go. You can learn everything they teach in a fourth the time on your own and employers will want to know whether you can actually apply whatever you've learned anyways.

What would really get you traction is to be able to show some programming applied in your graduate studies. Saying you taught yourself the language and used it will be far more impressive than saying you took some undergrad class.
 

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