We are honored to announce that Dr. Anthony Bloch, the Alexander Ziwet Professor and Chair of the Mathematics Department at the University of Michigan, and a leading figure in the fields of international mathematics and control theory, has been elected as a Corresponding Member of NAAI. This honor aims to recognize his foundational contributions in interdisciplinary fields such as geometric mechanics and control theory of nonholonomic systems, as well as his profound impact on the development of underlying theories of artificial intelligence as a pioneer of the "mathematical engineering" paradigm.
Academic Pyramid: A Theoretical Bridge from Differential Geometry to Intelligent Systems
Professor Anthony Bloch is a rare contemporary scientific giant that spans across mathematics, control theory, and engineering. He holds multiple top academic honors, including IEEE Fellow, SIAM Fellow, AMS Fellow, and Guggenheim Fellow. As a joint professor of the School of Engineering, Department of Mathematics, and Department of Aerospace Engineering at the University of Michigan, his pioneering "Geometry Mechanics Control Theory" has completely reconstructed the research paradigm of complex dynamical systems. The Bloch Marsden equation, jointly proposed by him and the late mechanics master Jerrold Marsden, for the first time combines Lie group theory with nonholonomic constraints, providing a universal mathematical framework for motion planning of wheeled robots, spacecraft attitude control, and other scenarios. The related achievements have been included in the classic chapters of the Springer Encyclopedia of Nonlinear Control.
Professor Bloch's academic field continues to expand: his "energy momentum conservation algorithm" has been successfully applied to the error correction system of quantum computing chips, enabling the Google Quantum team to achieve a breakthrough in logic quantum bit error rates below 1e-5 by 2024. Its latest research, "Chaos Boundary Control Theory for Non Complete Systems," provides a mathematical tool for proving the stability of high-dimensional AI controllers. It has been applied by DeepMind to dynamic balance training of humanoid robots, significantly reducing simulation training energy consumption.
Education Innovator: Forging an Interdisciplinary Talent Furnace
As the first engineering background department head of the Mathematics Department at the University of Michigan, Professor Bloch reshapes the discipline ecology with the concept of "mathematics is the language of engineering". The "Geometric Cybernetics Summer School" he founded has trained over 600 young scholars from 40 countries, of whom 12 have grown into tenured professors at top universities such as MIT and ETH Zurich. His edited book "Incomplete Mechanics and Modern Control" has been listed as a "must read classic in applied mathematics" by Cambridge University Press. The philosophy of "constraints are freedom" proposed in the book inspired the path optimization algorithm design of the Boston Dynamics Atlas robot team.
In the field of academic services, he served as the Senior Editor of SIAM Journal of Control and Optimization for 15 years and initiated the "Mathematics Artificial Intelligence Interdisciplinary Research Program" as a Simons Foundation researcher, funding projects covering cutting-edge fields from topological data analysis to neural differential equations. In 2023, the "Michigan School" led by it collaborated with OpenAI to develop the "Symbol Neural Hybrid Reasoning Framework", achieving an accuracy of 85% in mathematical theorem automatic proof tasks, approaching the level of professional mathematicians.
From Blackboard to Quantum Laboratory: A Mathematical Poet's Technical Manifesto
The essence of cybernetics is to tame chaos with symmetry, "Professor Bloch explained his academic beliefs in his 2024 Guggenheim Prize winning speech. As a senior fellow of the Michigan Society, he has always emphasized the engineering value of mathematics - the "Geometric Optimal Control Solver" developed by his team was used by NASA for optimizing the landing trajectory of the Europa probe, saving fuel consumption by 23%. Faced with the challenges of the AI era, he is exploring the integration of differential geometry and deep reinforcement learning. His latest achievement, the symplectic geometry strategy gradient algorithm, achieves a convergence speed 10 times faster than traditional methods in continuous control tasks.
Conclusion: Carving intelligent latitude and longitude on manifolds
Professor Anthony Bloch's academic career is a magnificent chapter in rewriting the epic of control theory with mathematical language - from the elegant derivation of Bloch Marsden equations to the agile gait of humanoid robots, from the error correcting codes of quantum chips to the interstellar trajectories of deep space probes, he has always adhered to the belief that "theory is the highest level of engineering". As he declared at the centennial celebration of the Department of Mathematics at the University of Michigan, "When we talk about intelligence, always remember that its highest form resides in the folds of differential manifolds." NAAI's choice is a solemn tribute to this truth.