Alg. Geometry/Topology Grad Schools?

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Discussion Overview

The discussion revolves around identifying graduate schools with strong programs in Algebraic Geometry and Algebraic Topology. Participants share their knowledge of various institutions known for these fields and explore related areas such as Algebraic K-Theory.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant lists Columbia, Michigan, Texas, and Utah as strong programs in Algebraic Geometry, and UChicago for Algebraic Topology.
  • Another participant questions the omission of MIT and suggests Berkeley as additional options.
  • Several participants mention well-known institutions such as MIT, Stanford, and Harvard, along with other schools like Rice, Georgia, Duke, Minnesota, UMass - Amherst, and Wisconsin-Madison, noting Chicago's strength in Algebraic Geometry.
  • Princeton and Yale are proposed as notable institutions, with mentions of their weekly seminars in Algebraic Geometry and possibly in Topology.
  • A participant introduces the topic of Algebraic K-Theory and inquires about schools that have strong math departments in that area, noting its lesser prominence in discussions.

Areas of Agreement / Disagreement

Participants generally agree on several institutions being strong in Algebraic Geometry and Algebraic Topology, but there is no consensus on a definitive list, as multiple competing views and suggestions are presented.

Contextual Notes

Some suggestions may depend on specific areas of interest within Algebraic Geometry or Topology, and the strength of programs in Algebraic K-Theory remains less defined due to its niche status.

Who May Find This Useful

Prospective graduate students interested in pursuing studies in Algebraic Geometry, Algebraic Topology, or related fields may find this discussion helpful in identifying potential schools.

altcmdesc
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I'm finding myself interested in studying something like Algebraic Geometry or Algebraic Topology for graduate school, and I'm just wondering what schools are out there at have strong programs in these areas? I already know about Columbia, Michigan, Texas, and Utah for AG, and about UChicago for AT. Are there any others that I should be aware of? Bonus points for having a strong program in both.
 
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Why is MIT not on your list? How about Berkeley?
 
places everyone knows: MIT, Stanford, Harvard; and you might look also at: Rice, Georgia, Duke, Minnesota, UMass - Amherst, Wisconsin-Madison; and of course Chicago is very strong also in AG.
 
I would also include Princeton and Yale to 'places everyone knows'. I think both have weekly seminars on Algebraic Geometry, and probably on Topology too.
 
Great. A somewhat related topic is Algebraic K-Theory... so what about schools for that? Since it isn't a huge subject you don't really hear about schools having math departments which are strong in the field..
 

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