Rubén Izquierdo-López

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What do I do?

The main topic that we are studying during my PhD is Multisymplectic Geometry, the natural (finite-dimensional) geometric framework for the study of classical field theories (among other related geometries such as multicontact, graded Poisson, or graded Dirac geometry). We are interested in both the geometric properties of manifolds equipped with such structures, and in the dynamical information that one may extract from partial differential equations arising from a multisymplectic (or related) geometry. These include (but are not limited to): Below you may find a list of all (published and unpublished) papers that have been developed as a result of the research performed during my PhD, ordered from most recent to oldest. By pressing the icon PDF you may obtain the documents.

Pre-prints

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M. de León, R. Izquierdo-López, L. Schiavone, P. Soto "A zoo of coisotropic embeddings". DOI: arXiv:2509.19039.


M. de León and R. Izquierdo-López, "A description of classical field equations using extensions of graded Poisson brackets". DOI: arXiv:2507.04743.

Publications

M. de León, R. Izquierdo-López and X. Rivas, "Brackets in Multicontact Geometry and Multisymplectization", Mediterr. J. Math. 23, 81 (2026). DOI: 10.1007/s00009-026-03077-4.


M. de León and R. Izquierdo-López, "Graded poisson and graded dirac structures", J. Math. Phys. 1 February 2025; 66 (2): 022901. DOI: 10.1063/5.0243128.


M. de León and R. Izquierdo-López, “Coisotropic reduction in multisymplectic geometry,” Geometric Mechanics, vol. 01, no. 03, pp. 209–244, 2024. DOI: 10.1142/S2972458924500096


M. de León and R. Izquierdo-López, “A review on coisotropic reduction in symplectic, cosymplectic, contact and co-contact Hamiltonian systems”, 2024 J. Phys. A: Math. Theor. 57 163001, DOI: 10.1088/1751-8121/ad37b2.