Exploring Algebraic Geometry Theory

I am looking for an individual with a solid understanding of algebraic geometry. The primary aim is to delve deeper into the theory, hence, a robust knowledge in the field is crucial. Aspects of algebraic geometry are not specified, thus a robust overview and understanding of various aspects such as curves and surfaces, singularities, and intersection theory are desirable.

Key Deliverable:
• A comprehensive written report exploring various facets of algebraic geometry theories.

Ideal Candidate:
• Extensive knowledge and experience in algebraic geometry.
• Strong research and writing capabilities.
• Proven record of delivering similar theoretical projects.