Natural Sciences & MathematicsGrowing Study ProspectsBachelor
Algebra and Number Theory
Also known as: Abstract Algebra, Theoretical Mathematics
A program that focuses on the expression of quantities and their relationships by means of symbols, vectors, matrices, and equations, and the properties of integers. Includes instruction in algebraic structures, quadratic and automorphic forms, combinatorics, linear algebra, and algebraic geometry.
Number TheoryCryptographyAlgebraic StructuresQuantitative AnalysisMathematicsData ScienceResearchSTEM
High School Preparation
Required Subjects
Pre-CalculusCalculusPhysicsComputer Science
Recommended GPA
3.5-4.0
Advanced Courses (AP/IB/Honors)
AP Calculus BC
AP Statistics
IB Mathematics: Analysis and Approaches HL
Core Subjects
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Career Prospects
Growing Study Prospects
Graduates can pursue roles as mathematicians, cryptographers, data scientists, or educators. Opportunities exist in technology, finance, government intelligence, and academic research institutions.
Impact of AI on this Study
Algebra and number theory are fundamental to AI, underpinning algorithms for machine learning, data encryption, and optimization problems. Advances in these areas directly contribute to the efficiency and security of AI systems.