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- Algebraic geometry -- Computational aspects in algebraic geometry -- Computational aspects of algebraic curves
- Algebraic geometry -- Curves in algebraic geometry -- Jacobians, Prym varieties
- Algebraic geometry -- Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture)
- Coding theory
- Cryptography
- Geometry, Algebraic
- Group theory and generalizations -- Linear algebraic groups and related topics -- Exceptional groups
- Group theory and generalizations -- Representation theory of groups -- Modular representations and characters
- Number theory
- Number theory -- Arithmetic algebraic geometry (Diophantine geometry) -- $L$-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture
- Number theory -- Arithmetic algebraic geometry (Diophantine geometry) -- Curves of arbitrary genus or genus $\ne 1$ over global fields
- Number theory -- Arithmetic algebraic geometry (Diophantine geometry) -- Curves over finite and local fields
- Number theory -- Finite fields and commutative rings (number-theoretic aspects) -- Algebraic coding theory; cryptography (number-theoretic aspects)
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