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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)

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Mathematics Specialties: Analysis
(Ranked in 2006*)

1. Princeton University (NJ)
2. University of California–Berkeley
3. Massachusetts Institute of Technology
4. New York University
5. University of Chicago
6. University of California–Los Angeles
7. Stanford University (CA)
8.  University of Michigan–Ann Arbor
9. Harvard University (MA)
  Yale University (CT)
11. California Institute of Technology
12. University of Minnesota–Twin Cities
13.  University of Texas–Austin
  University of Wisconsin–Madison
15. Columbia University (NY)
16. Cornell University (NY)
17. Purdue University–West Lafayette (IN)
18. University of Maryland–College Park
  Washington University in St. Louis

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Mathematics Specialties: Applied Math
(Ranked in 2006*)

1. New York University
2. Massachusetts Institute of Technology
3.  California Institute of Technology
4. University of California–Los Angeles
5. University of Minnesota–Twin Cities
6. Brown University (RI)
7. Princeton University (NJ)
8. Stanford University (CA)
  University of Texas–Austin
10. University of California–Berkeley
11. Carnegie Mellon University (PA)
12. University of Maryland–College Park
13. Georgia Institute of Technology
  University of Arizona
15.  Cornell University (NY)
  University of Michigan–Ann Arbor
17.   Northwestern University (IL)
  University of Chicago
  University of Washington
20. Rensselaer Polytechnic Institute (NY)
21. Harvard University (MA)
22. University of Colorado–Boulder
23. North Carolina State University
  Rice University (TX)
25.  University of Utah

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Mathematics Specialties: Discrete Mathematics and Combinations
(Ranked in 2006*)

1. Massachusetts Institute of Technology
2. Princeton University (NJ)
  Rutgers State University–New Brunswick (NJ)
  University of California–San Diego
5. University of Michigan–Ann Arbor
6. University of California–Berkeley
7. Georgia Institute of Technology
  Ohio State University
9. University of Illinois–Urbana-Champaign
10. California Institute of Technology
11. Harvard University (MA)
  Stanford University (CA)
  University of Minnesota–Twin Cities
14. Emory University (GA)
  University of California–Los Angeles
  University of Memphis

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Mathematics Specialties: Geometry
(Ranked in 2006*)

1. Harvard University (MA)
2. Massachusetts Institute of Technology
  Stanford University (CA)
4. University of California–Berkeley
5. Princeton University (NJ)
6. Columbia University (NY)
7. SUNY–Stony Brook
8.  University of Michigan–Ann Arbor
9. University of Chicago
10. New York University
11. University of Texas–Austin
12. University of California–Los Angeles
13.  University of Pennsylvania
  Yale University (CT)
15. University of Maryland–College Park
16. Duke University (NC)
17. Johns Hopkins University (MD)
  University of California–San Diego
19. University of Illinois–Chicago

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Mathematics Specialties: Logic
(Ranked in 2006*)

1. University of California–Berkeley
2. University of California–Los Angeles
3. University of Illinois–Urbana-Champaign
4. University of Wisconsin–Madison
5. Carnegie Mellon University (PA)
  University of Illinois–Chicago
7. Cornell University (NY)
  University of Notre Dame (IN)
9. Stanford University (CA)
10. Rutgers State University–New Brunswick (NJ)

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Mathematics Specialties: Statistics
(Ranked in 2006*)

1. Stanford University (CA)
2. University of California–Berkeley
3. Harvard University (MA)
4. University of North Carolina–Chapel Hill
  University of Wisconsin–Madison
6. Cornell University (NY)
  University of Chicago
  University of Minnesota–Twin Cities
  University of Washington
10. Carnegie Mellon University (PA)
11. Purdue University–West Lafayette (IN)
12. Iowa State University
  Texas A&M University–College Station
  University of Michigan–Ann Arbor

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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)

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*This ranking was computed in January of the year cited, based on data from a survey sent out in the fall of the previous year.