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Growth Paths / Math Electives: Abstract algebra
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Math Electives: Abstract algebra

Modern algebra, category theory, algebraic topology and algebraic geometry.

Modern algebra, category theory, algebraic topology and algebraic geometry. An elective area: finish one outcome in each of the 6 areas, then 3 more in one area you choose to go deep in. Free courses, a free self-check for each, and real work confirmed by 3 people. Part of the Varsity Curriculum: Mathematics, adapted from OSSU Math (MIT License).

0 required outcomes52 weeksCredential on completion

Path outcomes

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Learn Modern Algebra (MIT 18.703)

Modern Algebra

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2 milestones

  1. 1Do the problem sets and write them up
  2. 2Show why the quintic has no formula
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Learn Applied Category Theory (Seven Sketches)

Category theory

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2 milestones

  1. 1Do the problem sets and write them up
  2. 2Model something with categories
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Learn Algebraic Topology (Hatcher)

Algebraic topology

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2 milestones

  1. 1Do the problem sets and write them up
  2. 2Compute fundamental groups
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Learn Algebraic Geometry (MIT 18.725)

Algebraic geometry

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2 milestones

  1. 1Do the problem sets and write them up
  2. 2Study one curve in full

Resources for this path

No affiliate links. No sponsored placements.

OSSU Math ↗Curriculum

The course map this path is adapted from (MIT License).