Here is the list of links to university math departments.
In addition I have sorted them into Groups (AMS ratings) and note public/private and location.

All US math departments
List of all American universities

Group 1

Boston University
Private Boston,MA
Brandeis University
Private Boston,MA
Brown University
Private Providence,RI
California Institute of Technology
Private Pasadena,CA
Carnegie Mellon University
Private Pittsburgh,PA
City University of New York, Graduate Center
Public New York,NY
Columbia University
Private New York,NY
Cornell University
Private Ithica,NY
Duke University
Private Durham,NC
Georgia Insitute of Technology
Public Atlanta,GA
Harvard University
Private Cambridge,MA
Indiana University
Public Bloomington,IN
Johns Hopkins University
Private Baltimore,MD
Massachusetts Institute of Technology
Private Cambridge,MA
Michigan State University
Public East Lansing,MI
New York University, Courant Institute
Private New York,NY
Northwestern University
Private Evanston,IL
Ohio State University
Public Columbus,OH
Pennsylvania State University
Public State College,PA
Princeton University
Private Princeton,NJ
Purdue University
Public West Lafayette,IN
Rensselar Polytechnic Institute
Private Troy,NY
Rice University
Private Houston,TX
Rutgers University
Public New Brunswick,NJ
Stanford University
Private Palo Alto,CA
SUNY Stony Brook
Public Stony Brook,NY
University of California, Berkeley
Public Berkeley,CA
University of California, Los Angeles
Public Los Angeles,CA
University of California, San Diego
Public San Diego,CA
University of California, Santa Barbara
Public Santa Barbara,CA
University of Chicago
Private Chicago,IL
University of Illinois, Chicago
Public Chicago, IL
University of Illinois, Urbana-Champaign
Public Urbana,IL
University of Maryland
Public College Park,MD
University of Michigan
Public Ann Arbor,MI
University of Minnesota
Public Minneapolis,MN
University of North Carolina, Chapel Hill
Public Chapel Hill,NC
University of Notre Dame
Private Notre Dame,IN
University of Oregon
Public Eugene,OR
University of Pennsylvania
Private Philadelphia,PA
University of Southern California
Private Los Angeles,CA
University of Texas, Austin
Public Austin,TX
University of Utah
Public Salt Lake City,UT
University of Virginia
Public Charlottesville,VA
University of Washington
Public Seattle,WA
University of Wisconsin, Madison
Public Madison,WI
Washington University
Private St. Louis,MO
Yale University
Private New Haven,CT


Group 2

Arizona State University
Public Tempe,AZ
Auburn University
Public Auburn,AL
Case Western Reserve University
Private Cleveland ,OH
Claremont Graduate University
Private Claremont,CA
Clemson University
Public Clemson,SC
Colorado State University
Public Fort Collins,CO
Dartmouth College
Private Hanover,NH
Florida State University
Public Tallahassee,FL
Iowa State University
Public Ames,IA
Kansas State University
Public Manhattan,KS
Kent State University
Public Kent,OH
Lehigh University
Private Bethlehem,PA
Louisiana State University
Public Baton Rouge,LA
North Carolina State University
Public Raleigh,NC
Northeastern University
Private Boston,MA
Oregon State University
Public Corvallis,OR
Polytechnic University
Private Brooklyn,NY
SUNY Albany
Public Albany,NY
SUNY Binghamton
Public Binghamton,NY
SUNY Buffalo
Public Buffalo,NY
Syracuse University
Private Syracuse,NY
Temple University
Private Philadelphia,PA
Texas A&M University
Public College Station,TX
Texas Tech University
Public Lubbock,TX
Tulane University
Private New Orleans,LA
University of Arizona
Public Tuscon,AZ
University of California, Davis
Public Davis,CA
University of California, Irvine
Public Irvine,CA
University of California, Riverside
Public Riverside,CA
University of Californiia, Santa Cruz,CA
Public Santa Cruz,CA
University of Cincinnati
Private Cincinnati,OH
University of Colorado, Boulder
Public Boulder,CO
Univeristy of Connecticut
Public Hartford,CT
University of Deleware
Public Newark,DE
University of Florida
Public Gainesville,FL
University of Georgia
Public Athens,GA
University of Hawaii
Public Honolulu,HI
University of Houston
Private Houston,TX
University of Iowa
Public Iowa City,IA
University of Kentucky
Public Lexington,KY
University of Massachusetts, Amherst
Public Amherst,MA
University of Miami
Private Miami,FL
University of Missouri
Public Columbia,MO
University of Nebraska, Lincoln
Public Lincoln,NE
University of North Texas
Public Denton,TX
University of Oklahoma
Public Norman,OK
University of Pittsburgh
Public Pittsburgh,PA
University of Rochester
Private Rochester,NY
University of South Carolina
Public Columbia,SC
University of Tennessee
Public Knoxville,TN
University of Texas, Arlington
Public Arlington,TX
Vanderbilt University
Private Nashville,TN
Virginia Polytechnic Institute and State University
Public Blacksburg,VA
Washington State University
Public Pullman,WA
Wayne State University
Public Detroit,MI
Wesleyan University
Private Middletown,CT

Canadian Departments

List of All Canadian Universities
Another List

University of Waterloo
UW is the largest math department in the world!

Lebanon

Center for Advanced Mathematical Sciences (American Univeristy at Beirut)

U.K. Departments

List of all universities in U.K.

University of Bristol

University of Cambridge

University of Leeds

University of Liverpool

University of Oxford

University of Warwick


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