I am interested in all of the following:

Robot Kinematics:

• mathematics (screws, spatial algebras, interval arithmetic, closed-form solutions, etc.)
• algorithms (forward and inverse kinematics, point and trajectory transforms, general numerical methods, numerical accuracy and efficiency, loop-closure & constraint stabilization techniques, etc.)
• redundant robots, and task-specific redundancy (redundancy resolution, least-squares solution techniques, prioritized constraint resolution, etc.)
• motion planning & synthesis, especially collision-free motion planning and associated geometrical reasoning and search techniques

Robot Dynamics:

• mathematics (mathematical structures and formalisms, spatial (6D) algebras, rigid-body equations of motion, equation formulation and analysis, etc.)
• algorithms (invention of new algorithms, efficiency, order of complexity, numerical stability and accuracy, parallel execution)
• contact dynamics (contact models, collision detection, algorithms and simulation techniques)
• simulators for rigid-body dynamics, and spin-off applications (e.g. molecule and spacecraft dynamics simulation).

Robot Control:

• force control, including internal force optimization, force-based cooperative motion, force reflection for teleoperation, etc.
• hybrid motion/force control (kinematic and dynamic models of contact, dynamic decoupling and compensation, fast & stable interaction with the environment)
• motor skills and their scientific principles (walking, running, etc.; control methods, energy efficiency, etc.)

Robot Technology:

• actuators (e.g. electromagnetic and electrostatic actuators, shape-memory and superelastic alloys, electro-active polymers)
• small autonomous robots, including robots that can run, hop, walk, crawl, climb, swim, etc.
• high-performance robots (small, fast, accurate, responsive, high power-to-weight ratio).
• energy-efficient walking: simulation, design, control systems, actuators.