AI4Science + Mathematics
AI4Science + Mathematics Welcome to AimPL: the American Institute of Mathematics Problem Lists. This website provides a mechanism for creating and maintaining up-to-date lists of unsolved problems in research mathematics.
Algebra
Algebraic geometry
- Components of Hilbert schemes
- Deformation theory and the Brauer group
- Test ideals and multiplier ideals
- Singular learning theory
- Cohomological methods in abelian varieties
- Brauer groups and obstruction problems
- The minimal model program in characteristic p
- Algebraic vision
- Equivariant derived algebraic geometry
- Positivity of cycles
- Rational subvarieties in positive characteristic
- Stability and moduli spaces
Number theory
Welcome to AimPL: the American Institute of Mathematics Problem Lists. This website provides a mechanism for creating and maintaining up-to-date lists of unsolved problems in research mathematics.
Algebra
Algebraic geometry
- Components of Hilbert schemes
- Deformation theory and the Brauer group
- Test ideals and multiplier ideals
- Singular learning theory
- Cohomological methods in abelian varieties
- Brauer groups and obstruction problems
- The minimal model program in characteristic p
- Algebraic vision
- Equivariant derived algebraic geometry
- Positivity of cycles
- Rational subvarieties in positive characteristic
- Stability and moduli spaces