Comparing Math Ph.D Programs in Canada and the U.S.

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Discussion Overview

The discussion focuses on comparing mathematics Ph.D. programs in Canada, particularly at the University of Toronto and the University of Waterloo, with those in the United States. The scope includes opinions on program strength, faculty, research opportunities, and job prospects for graduates.

Discussion Character

  • Debate/contested
  • Exploratory
  • Technical explanation

Main Points Raised

  • Some participants suggest that while Canadian programs like U Toronto and McGill are strong, they may not match the very top U.S. schools.
  • Others argue that U Waterloo is particularly strong for pure math, claiming that many graduates can gain admission to prestigious U.S. programs like MIT.
  • One participant questions the assertion that U Waterloo is superior to U Toronto, citing rankings that consistently place U Toronto within the top 50 globally.
  • Another participant emphasizes the importance of Putnam competition scores as a measure of undergraduate quality, suggesting that U Waterloo has performed well in recent years.
  • Some participants highlight the Fields Institute at U Toronto as a significant resource for research and collaboration in pure mathematics.
  • There are differing views on the job market, with some suggesting that U Toronto may be better for jobs in the U.S., while others advocate for U Waterloo for careers in finance and technology.
  • Several participants note that Waterloo has a strong reputation in computer science and engineering, which may influence job prospects in those fields.

Areas of Agreement / Disagreement

Participants express multiple competing views regarding the strengths of U Toronto versus U Waterloo, particularly in the context of pure mathematics and job opportunities. The discussion remains unresolved with no clear consensus on which program is superior.

Contextual Notes

Participants mention various factors such as competition performance, research opportunities, and job market outcomes, but these are based on personal opinions and experiences rather than definitive evidence. The discussion reflects a range of assumptions about the value of different metrics for evaluating graduate programs.

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How do they compare to those in the U.S.?

Pure math in particular.
 
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I know U Toronto is strong, McGill as well I believe. I don't think any of them are quite on par with the very top U.S. schools but to my knowledge there are definitely a few strong departments.
 
dav1d said:
UWaterloo is where you want to be for sure, most people who take pure math at the undergraduate level at UW can make MIT for grad school easily.

So U Waterloo is stronger than U Toronto in your estimation?
 
dav1d said:
UWaterloo is where you want to be for sure, most people who take pure math at the undergraduate level at UW can make MIT for grad school easily.

I've never heard of that before. In terms of math grad school, I've only seen UToronto considered top 50 in the world consistently.
 
UWaterloo is excellent for pure math, it's better than UT.

Look at the Putnam scores
2000 Duke MIT Harvard Caltech Toronto
2001 Harvard MIT Duke UC Berkeley Stanford
2002 Harvard Princeton Duke UC Berkeley Stanford
2003 MIT Harvard Duke Caltech Harvey Mudd
2004 MIT Princeton Duke Waterloo Caltech
2005 Harvard Princeton Duke MIT Waterloo
2006 Princeton Harvard MIT Toronto Chicago
2007 Harvard Princeton MIT Stanford Duke
2008 Harvard Princeton MIT Stanford Caltech
2009 MIT Harvard Caltech Stanford Princeton
2010 Caltech MIT Harvard UC Berkeley Waterloo

Waterloo has 3, UT has 2 but the last time they did well was 2006. UW had a strong performance in 2010 and I think they'll do better because they recruited some talented people. But the US is unfair anyway since they draft from IMO. MIT views UW as it's equal in Canada, plenty of MIT researchers are at UW. If you want to go to MIT then definitely go to UW.
 
dav1d said:
UWaterloo is excellent for pure math, it's better than UT.

Look at the Putnam scores
2000 Duke MIT Harvard Caltech Toronto
2001 Harvard MIT Duke UC Berkeley Stanford
2002 Harvard Princeton Duke UC Berkeley Stanford
2003 MIT Harvard Duke Caltech Harvey Mudd
2004 MIT Princeton Duke Waterloo Caltech
2005 Harvard Princeton Duke MIT Waterloo
2006 Princeton Harvard MIT Toronto Chicago
2007 Harvard Princeton MIT Stanford Duke
2008 Harvard Princeton MIT Stanford Caltech
2009 MIT Harvard Caltech Stanford Princeton
2010 Caltech MIT Harvard UC Berkeley Waterloo

Waterloo has 3, UT has 2 but the last time they did well was 2006. UW had a strong performance in 2010 and I think they'll do better because they recruited some talented people. But the US is unfair anyway since they draft from IMO. MIT views UW as it's equal in Canada, plenty of MIT researchers are at UW. If you want to go to MIT then definitely go to UW.

Of course, Putnam performance isn't the best measure of strength in math (unless you really want to claim Duke has a better math program than UC Berkeley) and especially for PhD programs. It might be a reasonable measure of undergraduate student quality. That said, UW definitely looks like a strong program.
 
In Toronto, there is Fields Institute associated with UofT. It constantly has thematic programs and seminars. People all over the world come there to talk.
http://www.fields.utoronto.ca/programs/scientific/

For example, thematic program on Operator Algebra is ongoing in Fields.In Fall 2012 it will be Forcing. And in Winter/Spring 2012 it will be Galois Representations.

It also depends in what particular field of pure math your are interested. Toronto is probably the best place for set theoretic topology. The groups by subject are usually across the Universities (York,UofT, Fields) and work together. So it does not really matter which university you will enroll, the most important is the subject and research group that associated with it.
 
I know that all major math competition in high school is funded by waterloo and they have very good scholarship for math students there
and of course they have always been known for computer math and engineering school

toronto on the other hand, they are generally good on most of the majors
so it won't hurt to do any of them but if you are going back to U,S for jobs i recommend toronto
if you are thinking of getting a job in finance, engineering, computing or any other industries waterloo would be my answer
 
hamsterpower7 said:
I know that all major math competition in high school is funded by waterloo and they have very good scholarship for math students there
and of course they have always been known for computer math and engineering school

toronto on the other hand, they are generally good on most of the majors
so it won't hurt to do any of them but if you are going back to U,S for jobs i recommend toronto
if you are thinking of getting a job in finance, engineering, computing or any other industries waterloo would be my answer

I know Bill Gates hires the majority of his students from Waterloo out of any university in North America and many of the CS, math and engineering students end up working at Microsoft in software development or at Microsoft Research. Google and RIM (which is doing pretty bad right now) and other technology companies have their main Canadian offices in Waterloo. Most major finance companies are in Toronto.
 

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