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

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SUMMARY

The discussion compares the strengths of math Ph.D. programs in Canada, specifically at the University of Toronto (U of T) and the University of Waterloo (UW), against those in the U.S. It establishes that UW is superior for pure mathematics, with a notable track record in the Putnam competition, outperforming U of T in recent years. The Fields Institute at U of T is recognized for its thematic programs, but UW's reputation for producing graduates who gain admission to top U.S. programs like MIT is emphasized. Ultimately, the choice of university may depend on specific fields of interest and career goals.

PREREQUISITES
  • Understanding of pure mathematics and its subfields
  • Familiarity with the Putnam Competition and its significance
  • Knowledge of the Fields Institute and its role in mathematical research
  • Awareness of the academic and job market landscape in Canada and the U.S.
NEXT STEPS
  • Research the University of Waterloo's pure mathematics program and its faculty
  • Explore the Fields Institute's thematic programs and their impact on research
  • Investigate the admission criteria for top U.S. math graduate programs like MIT
  • Examine career opportunities for math graduates in finance and technology sectors in Canada
USEFUL FOR

Prospective math Ph.D. students, academic advisors, and professionals in finance and technology seeking insights into the strengths of Canadian math programs compared to U.S. institutions.

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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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