Cedric Martinez Campos is an Assistant Professor in the Department of Mathematics at the Faculty of Mathematics, University of Valencia. He is a member of the Geometric Analysis Group U.V. (GAGUV) and specializes in Geometry and Topology. His academic work is deeply rooted in geometric mechanics and mathematical physics. Research Interests: Geometric methods in classical and field theories Differential geometry and topology Variational calculus and optimal control Geometric numerical integration (variational integrators) Hamilton-Jacobi theory Constrained and dissipative systems His recent publications reveal a strong focus on applying advanced geometric structures—such as contact, multisymplectic, and k-contact geometries—to formulate and analyze mechanical and field theories, especially those involving dissipation and constraints. He develops high-order numerical methods grounded in variational principles, contributing to both theoretical and computational mechanics. Scientific Contributions: Over 16 publications in major mathematical physics journals Significant work on higher-order field theories and Lagrangian submanifolds Development of geometric integrators for optimal control Contributions to the Hamilton-Jacobi formalism in field theory He has collaborated extensively with leading figures such as Manuel de León, David Martín de Diego, and J. M. Sanz-Serna. His research has been cited over 90 times, reflecting its relevance in geometric mechanics. He advises no listed students yet but is actively involved in high-level research. He is part of ongoing efforts to extend geometric frameworks to non-conservative and singular systems, indicating a forward-looking research agenda in mathematical physics.




