http://www.stolaf.edu/people/humke/gradschool-rankings.html

(http://www.autoadmit.com/thread.php?thread_id=763290&forum_id=3#9332313)

Ranked in 2006*

Rank/School Average assessment

score (5.0 = highest)

1. Massachusetts Institute of Technology 5.0

2. Harvard University (MA) 4.9

Princeton University (NJ) 4.9

Stanford University (CA) 4.9

University of California–Berkeley 4.9

6. University of Chicago 4.8

7. California Institute of Technology 4.6

New York University 4.6

University of Michigan–Ann Arbor 4.6

Yale University (CT) 4.6

11. Columbia University (NY) 4.5

12. Cornell University (NY) 4.4

University of California–Los Angeles 4.4

14. University of Wisconsin–Madison 4.3

15. Brown University (RI) 4.2

University of Texas–Austin 4.2

17. University of Illinois–Urbana-Champaign 4.1

University of Minnesota–Twin Cities 4.1

University of Pennsylvania 4.1

20. University of Maryland–College Park 4.0

21. Duke University (NC) 3.9

Johns Hopkins University (MD) 3.9

Northwestern University (IL) 3.9

Rutgers State University–New Brunswick (NJ) 3.9

University of California–San Diego 3.9

26. Purdue University–West Lafayette (IN) 3.8

Rice University (TX) 3.8

SUNY–Stony Brook 3.8

29. Carnegie Mellon University (PA) 3.7

Indiana University–Bloomington 3.7

Ohio State University 3.7

Pennsylvania State University–University Park 3.7

University of North Carolina–Chapel Hill 3.7

University of Washington 3.7

35. CUNY Graduate School and University Center 3.6

Georgia Institute of Technology 3.6

University of Utah 3.6

38. University of California–Davis 3.5

University of Illinois–Chicago 3.5

University of Virginia 3.5

Washington University in St. Louis 3.5

42. Brandeis University (MA) 3.4

Michigan State University 3.4

University of Arizona 3.4

University of California–Irvine 3.4

University of California–Santa Barbara 3.4

47. Texas A&M University–College Station 3.3

University of Colorado–Boulder 3.3

University of Georgia 3.3

University of Notre Dame (IN) 3.3

University of Southern California 3.3

52. Boston University 3.2

Dartmouth College (NH) 3.2

North Carolina State University 3.2

Rensselaer Polytechnic Institute (NY) 3.2

56. University of Florida 3.1

University of Iowa 3.1

University of Massachusetts–Amherst 3.1

University of Missouri–Columbia 3.1

University of Oregon 3.1

Vanderbilt University (TN) 3.1

Virginia Tech 3.1

63. Arizona State University 3.0

Iowa State University 3.0

Northeastern University (MA) 3.0

University of Pittsburgh 3.0

67. Claremont Graduate University (CA) 2.9

Florida State University 2.9

Louisiana State University–Baton Rouge 2.9

University of California–Riverside 2.9

University of Kansas 2.9

University of Nebraska–Lincoln 2.9

73. Emory University (GA) 2.8

SUNY–Binghamton 2.8

Syracuse University (NY) 2.8

University at Buffalo–SUNY 2.8

University of California–Santa Cruz 2.8

University of Delaware 2.8

University of Tennessee–Knoxville 2.8

80. Auburn University (AL) 2.7

Kansas State University 2.7

Oregon State University 2.7

SUNY–Albany 2.7

University of Connecticut 2.7

University of Kentucky 2.7

University of New Mexico 2.7

University of Oklahoma 2.7

University of Rochester (NY) 2.7

89. Clemson University (SC) 2.6

Colorado State University 2.6

Oklahoma State University 2.6

Tufts University (MA) 2.6

University of South Carolina 2.6

94. Case Western Reserve University (OH) 2.5

Lehigh University (PA) 2.5

Temple University (PA) 2.5

University of Alabama–Birmingham 2.5

University of Houston 2.5

University of Miami (FL) 2.5

Wayne State University (MI) 2.5

Wesleyan University (CT) 2.5

73. Tulane University (LA)** 2.8

87. Polytechnic University (NY)** 2.5

Mathematics Specialties: Algebra/Number Theory/Algebraic Geometry

Ranked in 2006*

1. Harvard University (MA)

2. University of California–Berkeley

3. Princeton University (NJ)

4. University of Michigan–Ann Arbor

5. University of Chicago

6. Massachusetts Institute of Technology

7. Columbia University (NY)

8. Yale University (CT)

9. University of Wisconsin–Madison

10. University of California–Los Angeles

University of Illinois–Urbana-Champaign

12. Stanford University (CA)

13. Brown University (RI)

Ohio State University

15. Rutgers State University–New Brunswick (NJ)

16. California Institute of Technology

Northwestern University (IL)

University of Texas–Austin

University of Utah

20. University of California–San Diego

21. Johns Hopkins University (MD)

Mathematics Specialties: Topology

Ranked in 2006*

1. University of California–Berkeley

2. Princeton University (NJ)

3. Massachusetts Institute of Technology

4. Harvard University (MA)

5. Stanford University (CA)

University of Chicago

7. Columbia University (NY)

8. University of Texas–Austin

9. University of Michigan–Ann Arbor

10. Cornell University (NY)

11. Yale University (CT)

12. University of Illinois–Chicago

13. Northwestern University (IL)

14. SUNY–Stony Brook

15. University of Illinois–Urbana-Champaign

16. California Institute of Technology

Johns Hopkins University (MD)

University of Notre Dame (IN)

(http://www.autoadmit.com/thread.php?thread_id=763290&forum_id=3#9334001)

Harvard/MIT are best all around choices.

U Penn has some really good people (but I've never liked the enviornment).

Toronto recently acquired some really good people so its definitely worth looking at.

Now, if you are absolutely positive that you are looking into the Algebraic Geometry/Topology route, consider (some of these will seem surprising):

Columbia, SUNY-Stony Brook, University of Maryland-College Park, Northwestern, University of Chicago, UC San Diego (more Algebraic Geometry), Berkeley, UC Davis, Princeton, Michigan State University, UIUC (more Category Theory). Ohio state is developing a pretty strong geometry program.

Harvard, Suny-SB, Maryland, Toronto, Berkeley and Princeton each have at least one excellent potential advisor (i.e., very active in the field, producing good work, wide knowledge base, well respected and still accepting "average" students) in the field.

(http://www.autoadmit.com/thread.php?thread_id=763290&forum_id=3#9339826)

But how reliable are these USNEWS rankings (the subdiscipline rankings)?

(http://www.autoadmit.com/thread.php?thread_id=763290&forum_id=3#9340417)

Firstly, the data is collected by peer review. So often the rankings are based the mathematicians more than the program.

The program may not be very "user friendly" (i.e., high attrition, long MYD, no advisor potential, etc.) in spite of having good mathematitians.

However, getting a job really a function of your advisor and not your school but you'll have a wider selection of "good" advisors at a highly ranked school.

Secondly, the results are quite general. Within a subdiscipline, you have subfields. A top program in Geometry may have three Low Dimensional Topologists, Two Hyperbolic Geometers and one Algebraic Geometer (who isn't accepting students). This wouldn't help you at all. If you wanted to study Geometry/Topology without any clear direction, the rankings would help you find schools to consider.

Also, you are sitting on the Algebra/Geometry fence, which makes it harder for you. In particular, there are two general sides of Algebraic Geometry: The Number Theory side and the Geometry/Topology side. You are more on the second side which cannot be categorized by USNEWS since there aren't alot (relatively) of mathematicians on this side of AG.

That's my long answer to your short question.

(http://www.autoadmit.com/thread.php?thread_id=763290&forum_id=3#9344661)

(http://www.autoadmit.com/thread.php?thread_id=763290&forum_id=3#9344688)