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How do American universities rank in the field of mathematics?
The ranking of American universities in the field of mathematics is universally recognized, and many American universities enjoy a high reputation in the field of mathematics. The following are some American universities that rank higher in the field of mathematics:

1. PrincetonUniversity: The mathematics department of Princeton University enjoys a high reputation all over the world, and its professors and researchers have made many important contributions in the field of mathematics.

2. Massachusetts Institute of Technology: The mathematics department of MIT is one of the top mathematics departments in the world, and its professors and researchers have made many important contributions in the field of mathematics.

3. HarvardUniversity: The mathematics department of Harvard University enjoys a high reputation all over the world, and its professors and researchers have made many important contributions in the field of mathematics.

4. StanfordUniversity: The mathematics department of Stanford University enjoys a high reputation all over the world, and its professors and researchers have made many important contributions in the field of mathematics.

5. California Institute of Technology: The mathematics department of California Institute of Technology enjoys a high reputation all over the world, and its professors and researchers have made many important contributions in the field of mathematics.

6.UniversityofChicago: The Department of Mathematics of the University of Chicago enjoys a high reputation all over the world, and its professors and researchers have made many important contributions in the field of mathematics.

7. ColumbiaUniversity: The mathematics department of Columbia University enjoys a high reputation all over the world, and its professors and researchers have made many important contributions in the field of mathematics.