Our ranking weighs five factors based on publicly available data:
| # | University | Location | Type | Key Strength | Acceptance Rate |
|---|---|---|---|---|---|
| 1 | MIT | Cambridge, MA | Private | All areas — #1 globally | ~4% |
| 2 | Princeton | Princeton, NJ | Private | Pure mathematics, IAS | ~4% |
| 3 | Harvard | Cambridge, MA | Private | Broad strength across all areas | ~3% |
| 4 | Stanford | Stanford, CA | Private | Applied math, CS intersection | ~4% |
| 5 | UC Berkeley | Berkeley, CA | Public | Analysis, algebra | ~11% |
| 6 | Caltech | Pasadena, CA | Private | Exceptional faculty ratio | ~3% |
| 7 | U of Chicago | Chicago, IL | Private | Pure math, rigorous curriculum | ~5% |
| 8 | Columbia | New York, NY | Private | Probability, math physics | ~4% |
| 9 | Yale | New Haven, CT | Private | Growing department, strong funding | ~5% |
| 10 | UCLA | Los Angeles, CA | Public | Applied math, combinatorics | ~9% |
| 11 | NYU (Courant) | New York, NY | Private | Applied math — global #1 | ~13% |
| 12 | U of Michigan | Ann Arbor, MI | Public | Large, diverse department | ~18% |
| 13 | Cornell | Ithaca, NY | Private | Topology, algebra | ~8% |
| 14 | UT Austin | Austin, TX | Public | Analysis — rising star | ~29% |
| 15 | UW–Madison | Madison, WI | Public | Number theory, analysis | ~49% |
| 16 | Duke | Durham, NC | Private | Geometry, topology | ~6% |
| 17 | Northwestern | Evanston, IL | Private | Representation theory | ~7% |
| 18 | Johns Hopkins | Baltimore, MD | Private | Number theory | ~7% |
| 19 | Brown | Providence, RI | Private | Applied math excellence | ~5% |
| 20 | Georgia Tech | Atlanta, GA | Public | Discrete math, algorithms | ~17% |
MIT's Department of Mathematics consistently ranks #1 globally. With 60+ faculty members spanning every major area of mathematics, it produces groundbreaking research across pure and applied fields. The undergraduate math program (Course 18) is known for its rigour and flexibility.
Princeton's mathematics department is legendary, bolstered by its proximity to the Institute for Advanced Study (IAS), where Einstein and Gödel once worked. The department is strongest in pure mathematics — number theory, algebraic geometry, and analysis.
Harvard's math department offers unmatched breadth, with world-class faculty in virtually every subfield. The Math 55 course sequence is famously regarded as the hardest undergraduate math course in the country.
Stanford excels at the intersection of pure mathematics, applied mathematics, and computer science. Its Silicon Valley location means strong industry connections for students interested in math-adjacent careers in tech and finance.
The top public university for mathematics in the US. Berkeley's department is known for its strength in analysis, algebra, and mathematical logic. The campus culture encourages collaboration between departments.
Caltech is tiny (roughly 1,000 undergrads total) but offers an extraordinary student-to-faculty ratio. Every math student gets significant personal attention and research access from day one.
Chicago's math programme is known for its pure mathematics strength and exceptionally rigorous curriculum. The first two years include the famous "Honors Calculus" sequence taught using Spivak's Calculus.
Columbia's math department benefits from its New York City location, which enables partnerships with NYU Courant and access to finance industry research. Strong in probability, mathematical physics, and number theory.
Yale's math department has grown significantly in recent years, with major faculty hires strengthening its research profile. The department is smaller and more personal than MIT or Harvard, which appeals to students wanting close mentorship.
UCLA combines strong applied mathematics with excellent pure research. Its location in Los Angeles provides connections to the entertainment tech and aerospace industries, while the department's combinatorics and analysis groups are world-class.
| # | University | Notable Strengths |
|---|---|---|
| 11 | NYU (Courant Institute) | World's top applied math institute. Exceptional for fluid dynamics, computational math, and mathematical finance. |
| 12 | University of Michigan | Large and diverse department with 70+ faculty. Strong across analysis, algebra, topology, and applied math. |
| 13 | Cornell University | Excellent topology and algebra groups. Smaller department with strong undergraduate teaching tradition. |
| 14 | UT Austin | Rising star with recent major hires. Analysis strength and growing applied math programme. Excellent value. |
| 15 | UW–Madison | Strong number theory and analysis. Outstanding value for in-state and out-of-state students alike. |
| 16 | Duke University | Geometry and topology focus. Small department, close faculty mentorship. Strong math-physics connections. |
| 17 | Northwestern | Representation theory and algebraic geometry. Intimate department in the Chicago academic corridor. |
| 18 | Johns Hopkins | Number theory tradition. Proximity to NSA for applied math/cryptography careers. Strong graduate programme. |
| 19 | Brown University | Division of Applied Mathematics is a unique undergraduate-friendly applied math department. Open curriculum. |
| 20 | Georgia Tech | Discrete mathematics and algorithms. Strong CS-math overlap. Excellent value among public universities. |
Five of our top 20 are public universities (Berkeley, UCLA, Michigan, UT Austin, UW–Madison, Georgia Tech). Here's how they compare:
| Factor | Top Public (e.g., Berkeley) | Top Private (e.g., MIT) |
|---|---|---|
| In-state tuition | $14,000–$18,000/year | $55,000–$65,000/year |
| Out-of-state tuition | $44,000–$48,000/year | Same as above |
| Class sizes | Larger intro courses (100–300) | Smaller (30–100) |
| Research access | Available but competitive | Often easier to access early |
| Financial aid | Merit-based common | Need-based, often generous |
| Faculty ratio | Higher student-faculty ratio | Lower ratio, more access |
| University Tier | SAT Math | Unweighted GPA | Extras That Help |
|---|---|---|---|
| Top 5 (MIT, Princeton, Harvard, Stanford, Berkeley) | 780–800 | 3.9+ | USAMO/IMO, RSI, research |
| 6–10 (Caltech, Chicago, Columbia, Yale, UCLA) | 770–800 | 3.85+ | AIME qualifier, summer programmes |
| 11–15 (NYU, Michigan, Cornell, UT Austin, UW) | 750–790 | 3.7+ | AMC 10/12, local competitions |
| 16–20 (Duke, Northwestern, JHU, Brown, GT) | 740–780 | 3.7+ | Strong math coursework, research |
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