Best Colleges in Algebra / Number Theory / Algebraic Geometry Program

This page introduces the top colleges in Algebra / Number Theory / Algebraic Geometry program. Harvard University is ranked first in Algebra / Number Theory / Algebraic Geometry program ranking and Princeton University is placed in second. Next describes the Algebra / Number Theory / Algebraic Geometry program in general.
Algebra is one of the broad parts of mathematics, together with number theory, geometry and analysis. As such, it includes everything from elementary equation solving to the study of abstractions such as groups, rings, and fields. The more basic parts of algebra are called elementary algebra, the more abstract parts are called abstract algebra or modern algebra. Elementary algebra is essential for any study of mathematics, science, or engineering, as well as such applications as medicine and economics.
Number theory (or arithmetic) is a branch of pure mathematics devoted primarily to the study of the integers, sometimes called "The Queen of Mathematics" because of its foundational place in the discipline. Number theorists study prime numbers as well as the properties of objects made out of integers or defined as generalizations of the integers.
Algebraic geometry is a branch of mathematics, classically studying zeros of polynomial equations. Modern algebraic geometry is based on more abstract techniques of abstract algebra, especially commutative algebra, with the language and the problems of geometry.[read more at Algebra, Number Theory, Algebraic Geometry wiki pages ]


Academic Comparison Between Best Colleges in Algebra / Number Theory / Algebraic Geometry Program

3 public and 7 private schools are ranked in the top Algebra / Number Theory / Algebraic Geometry colleges. The average acceptance rate of the schools is 9.20% where Stanford University has the tightest acceptance rate of 4% and University of Michigan-Ann Arbor has the highest rate of 23%. Total 259,968 students are enrolled into the best Algebra / Number Theory / Algebraic Geometry schools where University of Michigan-Ann Arbor has the largest population with 46,002 students and Princeton University is the smallest school with 8,273 students. The average graduation rate is 94.00% and the average students to faculty ratio is 9.10:1 at those colleges.
Next table shows the academic information and key facts of the best Algebra / Number Theory / Algebraic Geometry colleges including acceptance rate, graduation rates, student population, and students to faculty ratio.
Table. Best Colleges in Algebra / Number Theory / Algebraic Geometry Program
RankName Acceptance RatesGraduation RatesPopulationStudent-Faculty Ratio
1Harvard University
Cambridge, MA
5%96%31,120 7:1 (14.29 %)
2Princeton University
Princeton, NJ
5%97%8,273 5:1 (20.00 %)
3University of California-Berkeley
Berkeley, CA
15%91%41,891 18:1 (5.56 %)
4University of Chicago
Chicago, IL
7%93%16,227 5:1 (20.00 %)
5Massachusetts Institute of Technology
Cambridge, MA
7%94%11,466 3:1 (33.33 %)
5University of California-Los Angeles
Los Angeles, CA
14%91%44,027 18:1 (5.56 %)
7Stanford University
Stanford, CA
4%94%17,534 12:1 (8.33 %)
8University of Michigan-Ann Arbor
Ann Arbor, MI
23%92%46,002 11:1 (9.09 %)
9Columbia University in the City of New York
New York, NY
6%95%30,454 6:1 (16.67 %)
10Yale University
New Haven, CT
6%97%12,974 6:1 (16.67 %)
Average9.20%94.00%259,968 (Total) 9.10:1 (10.99 %)

Best College In Algebra / Number Theory / Algebraic Geometry 2019 Tuition Comparison and 2020 Estimated Costs

Next table lists 2018-2019 tuition & fees and compares the costs between the best college in algebra / number theory / algebraic geometry. The 2018-2019 costs are officially published by IPEDS, U.S. Department of Education. The estimated costs for year 2019-2020 are calculated and estimated based on each school's tuition rates last year.

For the undergraduate programs, the average tuition & fees of the best college in algebra / number theory / algebraic geometry is $50,784 where Columbia University in the City of New York has the most expensive costs with $59,430 and University of California-Los Angeles has the lowest amount of tuition with $42,218. The average graduate tuition & fees of the best college in algebra / number theory / algebraic geometry is $45,507 where University of Chicago has the highest tuition with $58,968 and University of California-Los Angeles has the lowest amount of graduate school tuition with $28,048.
UndergraduateGraduate
Table. Best College In Algebra / Number Theory / Algebraic Geometry 2019 Undergraduate Tuition Comparison and 2020 Estimation
RankSchool Name 2019 Tuition & Fees2020 Estimated Tuition & Fees
In-StateOut-of-StateIn-StateOut-of-State
1Harvard University $50,420$51,935
2Princeton University $50,340$53,757
3University of California-Berkeley $14,184$43,176 $14,198$44,191
4University of Chicago $58,230$61,846
5Massachusetts Institute of Technology $49,892$49,892
5University of California-Los Angeles $13,226$42,218 $13,191$43,183
7Stanford University $51,354$53,151
8University of Michigan-Ann Arbor $15,262$49,350 $14,779$49,559
9Columbia University in the City of New York $59,430$68,395
10Yale University $53,430$55,540
Average$14,224$50,784$14,056$53,145
Table. Best College In Algebra / Number Theory / Algebraic Geometry 2019 Graduate School Tuition Comparison and 2020 Estimation
RankSchool Name 2019 Tuition & Fees2020 Estimated Tuition & Fees
In-StateOut-of-StateIn-StateOut-of-State
1Harvard University $47,562$49,221
2Princeton University $51,250$53,669
3University of California-Berkeley $14,131$29,233 $14,092$29,194
4University of Chicago $58,968$61,003
5Massachusetts Institute of Technology $52,892$52,892
5University of California-Los Angeles $12,946$28,048 $12,889$27,991
7Stanford University $49,617$49,617
8University of Michigan-Ann Arbor $23,456$47,006 $24,241$48,579
9Columbia University in the City of New York $48,390$49,867
10Yale University $42,100$43,229
Average$16,844$45,507$17,074$46,527

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