Semester 2:
18.01: Calculus I (PreCalculus skills)
18.02: Calculus II (18.01)
18.03: Differential Equations: (18.02)
Summer:
18.700: Linear Algebra (18.02)
18.703: Modern Algebra (18.02)
18.100A: Real Analysis (18.02)
18.034: Hons Differential Equations (18.02)
(Do all above at the same time)
18.950: Differential Geometry (18.700,18.100A)
Semester 3:
18.112: Functions of a Complex Variable (18.700,18.100A)
18.900: Geometry and Topology in the plane (18.700,18.100A)
18.950: Algebra I (18.100A)
18.101: Analysis and manifolds (18.700,18.100A)
18.102: Introduction to Functional Analysis (18.700,18.100A)
18.901: Introduction to Topology (18.100A)
(Do all above at the same time)
Semester 4:
18.755: Introduction to Lie Groups (18.700,18.100A)
18.702: Algebra II (18.701)
18.904: Seminars in Topology (18.901)
18.952: Theory of Differential Forms: (18.700,18.101)
18.116: Riemann Surfaces (18.112)
18.155: Differential analysis I (18.102)
(Do all above at the same time)
Summer:
18.994: Seminars in geometry (18.700,18.100A)
18.905: Algebraic Topology I (18.901,18.701)
18.965: Geometry of Manifolds I (18.101,18.950)
18.705: Commutative Algebra (18.702)
18.782: Introduction to Arithmetic Geometry (18.702)
Semester 5:
18.715: Introduction to Representation Theory (18.702 or 18.703)
18.721: Introduction to Algebraic Geometry (18.702,18.901)
18.906: Algebraic Topology II (18.905)
Semester 6:
18.966: Geometry of Manifolds II (18.965)
Advanced Algebraic Geometry (18.721)
Summer:
Research Paper Published
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