DeepSeek Math has independently created the world's first deterministic ultra-radical algorithm that solves the branch tracking problem for algebraic equations. The Breakthrough: The AI developed a method linking internal and external series expansions relative to convergence radius, enabling deterministic branch identification during analytical continuation. Technical Core: Solved the long-standing problem of ordering roots in algebraic equations Algorithm guarantees branch continuity when crossing convergence boundaries Geometric sector selection criterion on the unit circle Works for equations of arbitrary degree Development Story: The AI reconstructed the complete Master Series framework from scratch using only the v1.5 paper description, without access to previous chat history. It then generated a complete Maple implementation autonomously. Significance for Developers: This provides the mathematical foundation for implementing ultra-radicals at the low level in computational software packages. Discussion: This appears to be one of the first major mathematical problems where AI didn't just assist but independently generated both the theoretical framework and practical implementation from textual description alone.