Expert In:

• Noncommutative algebra
• Number theory

Expert In:

• Algebraic geometry
• Differential geometry
• Gauge theory
• Mathematical physics

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• Computability theory
• Mathematical Logic

Expert In:

• Abstract harmonic analysis
• Functional analysis

Expert In:

• Computational number theory
• Fractal geometry

Expert In:

• Differential geometry
• Geometric analysis
• Higher-dimension geometry
• Spatial geometric structures related to physics

Expert In:

• Calculus
• Functional analysis
• Linear algebra
• Operator algebras

Expert In:

• Algebra
• Algebraic geometry
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• Geometry

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• Algebraic geometry
• Difference and differential algebra
• Model theory

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• Complex geometry
• Mathematical applications to physics

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• Geometric topology
• Symplectic geometry

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• Frame theory
• Hilbert spaces
• Operator algebras
• Operator theory

Expert In:

• Algebraic geometry
• Arithmetic geometry
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Expert In:

• Algebraic combinatorics
• Geometry of entanglement
• Lie theory
• Mathematics of quantum information

Expert In:

• Harmonic analysis
• Operator spaces

Expert In:

• Algebraic number theory
• Arithmetic geometry
• Diophantine approximation