Yuta Kambe's Page

Research Interest

• Algebraic Geometry

• Gröbner Basis Theory

• Symbolic Computation

• Post-Quantum Cryptography

• Machine Learning Computation

Keywords: Algebraic Geometry, Gröbner basis, Hilbert scheme, Deformation theory, Machine Learning, Cryptography

My philosophical motivation is "What is the Computation? In particular, How do we explain the computation in the geometrical contexts".

For this, I am studying

• Moduli spaces of reduced Gröbner bases with fixed initial ideal,

• Cryptography based on algebraic geometry,

• Machine Learning for solving mathematical problems,

and so on.