Group 1 - The main focus of current mathematical research includes areas such as analysis/probability, algebra/number theory, and geometry/topology, with a significant emphasis on Partial Differential Equations (PDE) [3] - PDE research addresses systems described by multi-variable functions or vector fields that adhere to physical laws, with many classical problems being answered while numerous unsolved issues remain [3][4] - The famous Millennium Prize Problems include the Navier-Stokes existence and smoothness problem and the construction of Yang-Mills quantum field theory, both of which are significant unsolved problems in mathematics [4] Group 2 - The relationship between mathematics and contemporary technologies like AI and quantum technology is highlighted, with potential breakthroughs in quantum computing possibly leading to significant advancements in algorithms and computational power [5] - Two research directions in the intersection of mathematics and AI are identified: "Math for AI," which focuses on the mathematical foundations of AI technologies, and "AI for Math," which explores how AI can assist in mathematical research [5][6] - Recent advancements in "AI for Math" include using AI to find approximate solutions to PDEs, conducting mathematical experiments, and automating mathematical proofs, with AI models showing capabilities in writing proofs and formalizing them [5][6][7] Group 3 - The impact of AI on foundational mathematics is currently limited, primarily addressing specific problems rather than generating original proofs, but future developments in AI may change the landscape of mathematical research [7] - The importance of mathematical literacy for contemporary youth is emphasized, focusing on skills such as logic, statistics, analysis, and structuring, which are essential for navigating an increasingly complex information environment [8][9]