David MartÃn
Scientist
Mathematics
Complutense University of Madrid
Spain
Biography
"David Martin de Diego is a research scientist at the Instituto de Ciencias Matemáticas – ICMAT (Institute of Mathematical Sciences). His work focuses on applications of Geometric mechanics in a wide range of topics such as geometric integrators, nonholonomic mechanics, Hamilton-Jacobi equation, optimal control theory, reduction of lagrangian systems, etc.. His research emphasizes the relationship between differential geometry (symplectic and Poisson geometry, Lie algebroids and groupoids...) and dynamical systems, as for instance, mechanical systems and systems with symmetry even in the area of optimal control. He has over 90 research papers, including articles in Nonlinearity, SIAM Journal on Control and Optimization, Journal of Nonlinear Science, Discrete and Continuous Dynamical Systems - Series A, Journal of Physics A, etc... See for more details. Some of his papers have become an outstanding international reference, such as the first derivation of a Hamilton-Jacobi equation for nonholonomic systems, the construction of variational integrators for nonholonomic and reduced mechanical systems and the derivation of a geometric integrator for optimal control of mechanical systems admitting discontinuities in the control variables. Dr Martín de Diego did his Ph.D. in Mathematics at Universidad Complutense de Madrid in 1995 obtaining the Best Ph.D. Dissertation Award. From 1998-2000 he was an associate professor at the Universidad de Valladolid, Spain. In 2000 he took on his current position at Consejo Superior de Investigaciones Científicas, CSIC. He is a member of the Editorial Board of the Journal of Geometric Mechanics and he was the Editor-In-Chief of La Gaceta de la Real Sociedad Matemáticas Española (2003-2008). Dr. Martín de Diego is author of two books of popularization of mathematics: Princesas, Abejas y Matemáticas ( see ); Matemáticas del Sistema Solar (coauthored with M. de León and J.C. Marrero, see )."
Research Interest
His research emphasizes the relationship between differential geometry (symplectic and Poisson geometry, Lie algebroids and groupoids...) and dynamical systems, as for instance, mechanical systems and systems with symmetry even in the area of optimal control.
Publications
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Cortés J, de León M, de Diego DM, Martinez S. Geometric description of vakonomic and nonholonomic dynamics. Comparison of solutions. SIAM Journal on Control and Optimization. 2002;41(5):1389-412.
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Cantrijn F, De León M, de Diego DM. On almost-Poisson structures in nonholonomic mechanics. Nonlinearity. 1999 May;12(3):721.
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de León M, de Diego DM. On the geometry of nonâ€holonomic Lagrangian systems. Journal of Mathematical Physics. 1996 Jul;37(7):3389-414.