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| Eugene Lerman | |
|---|---|
| Name | Eugene Lerman |
| Birth date | 1954 |
| Birth place | Leningrad |
| Fields | Mathematics, Control theory, Dynamical systems |
| Workplaces | Brown University, Massachusetts Institute of Technology, Yale University |
| Alma mater | University of California, Berkeley |
| Doctoral advisor | Robert S. Strichartz |
Eugene Lerman
Eugene Lerman is an American mathematician and engineer known for contributions to control theory, dynamical systems, and the application of category theory and geometric mechanics to problems in robotics and hybrid systems. He has held faculty positions at leading institutions and collaborated across disciplines including mechanical engineering, computer science, and applied mathematics. Lerman's work connects abstract mathematical structures with practical questions in robotics and control engineering.
Lerman was born in Leningrad and subsequently emigrated, studying mathematics and engineering in the United States at a time of intense development in nonlinear dynamics and systems theory. He completed undergraduate and graduate studies culminating in a doctoral degree at the University of California, Berkeley under the supervision of Robert S. Strichartz, joining the community that included scholars associated with Berkeley, Stanford University, and the Institute for Advanced Study. His doctoral training placed him in contact with advances linked to figures such as John Milnor, Stephen Smale, Michael Atiyah, and Raoul Bott who shaped modern perspectives on topology and dynamics.
Lerman's early appointments included postdoctoral and faculty roles at institutions associated with vibrant research in differential geometry and control theory, including affiliations with Massachusetts Institute of Technology and Yale University before a long-term position at Brown University. At Brown he interacted with researchers from departments tied to engineering and mathematics such as faculty influenced by Jerrold Marsden, Alberto Bressan, Richard Murray, and Eduardo D. Sontag. Lerman contributed to graduate training and curriculum development, advising students who went on to work at places like MIT, Caltech, Princeton University, and industrial research labs including Bell Labs and IBM Research. He participated in national and international programs and workshops organized by bodies such as the National Science Foundation, Society for Industrial and Applied Mathematics, and the American Mathematical Society.
Lerman's research spans rigorous theory and applied modeling across multiple connected areas. He has advanced theoretical foundations in symplectic geometry, Poisson geometry, and the theory of Lie groups as they apply to symmetry reduction in Hamiltonian systems, building on traditions associated with Marsden–Weinstein reduction and work by Alan Weinstein. Lerman developed frameworks for understanding hybrid dynamical systems and piecewise-smooth models relevant to robot locomotion and biomechanics, connecting to research strands from Jean-Jacques Slotine, Rodney Brooks, and Marc Raibert. His work on groupoid and stack approaches employed ideas from category theory and the language used by André Joyal, Max Kelly, and Graeme Segal to treat quotient constructions and singular reduction.
In control theory, Lerman contributed to stability analysis, control synthesis, and observer design for nonlinear and hybrid systems, interacting with methodologies of Lyapunov theory, feedback linearization, and control frameworks associated with Isidori, Hermann, and Khalil. He explored interconnections between geometric mechanics and control, relating to research by T. R. Kane, N. Andrew McClamroch, and Peter Crouch. Lerman also worked on the mathematical underpinnings of coordination and locomotion in multi-agent systems, linking to developments involving Vijay Kumar, Dimitri Bertsekas, and Ruzena Bajcsy.
- "Symplectic reduction, groupoids and stacks" — a work situating reduction theory in a categorical setting, in dialogue with contributions from Alan Weinstein and Jean-Marie Souriau. - Papers on hybrid systems and stability analysis connecting to research by Arjan van der Schaft and Henk Nijmeijer. - Articles on geometric phases and locomotion inspired by the literature of Michael Berry, Shapere, and Frank Wilczek. - Collaborative works on control of robotic systems with authors affiliated with Brown University, MIT, and Yale University; these papers cite methods from Richard Murray and John Hauser. - Contributions to edited volumes and conference proceedings for meetings of the IEEE Conference on Decision and Control and the SIAM Conference on Control and Its Applications.
Lerman has been recognized by professional societies and institutions for scholarship bridging pure mathematics and engineering. His honors include awards and fellowships associated with programs supported by the National Science Foundation and invitations to speak at major venues such as the International Congress of Mathematicians satellite meetings, the European Congress of Mathematics, and workshops at the Mathematical Sciences Research Institute. He has served on editorial boards and program committees for conferences organized by IEEE, SIAM, and the American Control Conference.
Lerman's mentorship and interdisciplinary outreach have influenced a generation of researchers working at the interface of mathematics and robotics. His students and collaborators hold positions across academia and industry, contributing to projects at places such as NASA, Boston Dynamics, and startup ventures in autonomous systems. Lerman's legacy is reflected in the continued integration of geometric and categorical methods into control, dynamics, and robotics research, resonating with the work of contemporaries like Jerrold Marsden and Alan Weinstein.
Category:American mathematicians Category:Control theorists Category:Brown University faculty