The Yale University Mathematics Department is one of the most prestigious and highly respected in the world, offering a comprehensive and rigorous mathematics major program. Students who major in mathematics at Yale have the opportunity to engage with a wide range of mathematical topics, from pure mathematics to applied mathematics, and to work with a distinguished faculty of mathematicians. The mathematics major at Yale is designed to provide students with a deep understanding of mathematical concepts, as well as the ability to apply mathematical techniques to solve problems in a variety of fields.
Mathematics Major Requirements
To major in mathematics at Yale, students must complete a minimum of 12 term courses in mathematics, including Math 115: Introduction to Abstract Algebra, Math 120: Introduction to Real Analysis, and Math 225: Introduction to Complex Analysis. In addition, students must take at least two advanced courses in mathematics, such as number theory, algebraic geometry, or partial differential equations. Students are also encouraged to take courses in related fields, such as physics, computer science, or philosophy, to broaden their understanding of mathematical concepts and their applications.
Mathematics Course Offerings
The Yale Mathematics Department offers a wide range of courses in mathematics, from introductory courses such as Math 112: Calculus of Functions of One Variable to advanced courses such as Math 410: Topics in Algebraic Geometry. Some examples of courses offered by the department include:
| Course Number | Course Title |
|---|---|
| Math 115 | Introduction to Abstract Algebra |
| Math 120 | Introduction to Real Analysis |
| Math 225 | Introduction to Complex Analysis |
| Math 250 | Introduction to Number Theory |
| Math 410 | Topics in Algebraic Geometry |
Research Opportunities
The Yale Mathematics Department offers a variety of research opportunities for students, including the Summer Undergraduate Research Fellowship and the Senior Essay program. These programs allow students to work closely with faculty advisors on original research projects, and to present their findings at conferences and seminars. Some examples of research areas in which Yale mathematics students have worked include:
- Number theory: Students have worked on projects related to the distribution of prime numbers, the properties of modular forms, and the application of number theory to cryptography.
- Algebraic geometry: Students have worked on projects related to the geometry of algebraic curves and surfaces, the study of algebraic cycles, and the application of algebraic geometry to physics.
- Partial differential equations: Students have worked on projects related to the analysis of nonlinear PDEs, the study of fluid dynamics, and the application of PDEs to biology and medicine.
Faculty and Alumni
The Yale Mathematics Department has a distinguished faculty of mathematicians, including Nobel laureates and Fields medalists. Some notable faculty members include:
| Faculty Member | Research Area |
|---|---|
| Andrew Casson | Geometry and topology |
| William Massey | Algebraic topology |
| Richard Hamilton | Partial differential equations |
What are the requirements for majoring in mathematics at Yale?
+To major in mathematics at Yale, students must complete a minimum of 12 term courses in mathematics, including Math 115, Math 120, and Math 225. In addition, students must take at least two advanced courses in mathematics, such as number theory, algebraic geometry, or partial differential equations.
What research opportunities are available to Yale mathematics students?
+The Yale Mathematics Department offers a variety of research opportunities for students, including the Summer Undergraduate Research Fellowship and the Senior Essay program. These programs allow students to work closely with faculty advisors on original research projects, and to present their findings at conferences and seminars.
