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Geometric Mechanics, Mathematical Physics, Contact geometry, Symplectic geometry, Integrable systems, Geometric control theory
Poland

Biography

My main research interests are differential (super)geometry and its applications to mathematical physics. I am particularly interested in symplectic, Poisson, contact, Jacobi, and similar geometric structures, as well as their applications to dynamical systems. I am also fascinated by graded manifolds and their applications to classical differential geometry and parastatistics.

Activities

Employment (3)

IMPAN: Warsaw, PL

2024-10-01 to present | Postdoctoral researcher
Employment
Source: Self-asserted source
Asier López-Gordón

Institute of Mathematical Sciences: Madrid, ES

2021-09-01 to 2024-09-18 | Pre-doc researcher (Geometrical Mechanics and Control Research Group)
Employment
Source: Self-asserted source
Asier López-Gordón

Institute of Mathematical Sciences: Madrid, ES

2020-09-01 to 2021-05-31 | MSc student researcher (Geometrical Mechanics and Control Research Group)
Employment
Source: Self-asserted source
Asier López-Gordón

Education and qualifications (3)

Autonomous University of Madrid: Madrid, ES

2021-09-01 to 2024-09-18 | PhD in Mathematics (Mathematics Department, Faculty of Sciences)
Education
Source: Self-asserted source
Asier López-Gordón

Autonomous University of Madrid: Madrid, ES

2020-09 to 2021-06 | M.Sc. Theoretical Physics (Institute of Theoretical Physics)
Education
Source: Self-asserted source
Asier López-Gordón

Complutense University of Madrid: Madrid, ES

2016-09 to 2020-07 | B.Sc. Physics (Faculty of Physical Sciences)
Education
Source: Self-asserted source
Asier López-Gordón

Professional activities (2)

Real Sociedad Matemática Española: Madrid, ES

Membership
Source: Self-asserted source
Asier López-Gordón

Real Sociedad Española de Física: Madrid, ES

Membership
Source: Self-asserted source
Asier López-Gordón

Funding (4)

Geometric Structures in Dynamical Systems and Hydrodynamics

2021-09 to 2024-09 | Contract
Agencia Estatal de Investigación (Madrid, ES)
GRANT_NUMBER:

PRE2020-093114I

Source: Self-asserted source
Asier López-Gordón

Contact Hamiltonian Systems

2021-02 to 2021-05 | Grant
Instituto de Ciencias Matemáticas (Madrid, ES)
Source: Self-asserted source
Asier López-Gordón

Contact Hamiltonian Systems

2020-09 to 2021-01 | Grant
Consejo Superior de Investigaciones Científicas (Madrid, ES)
Source: Self-asserted source
Asier López-Gordón

Study of the Entanglement Entropy in Integrable Spin Chains

2019-09 to 2020-06 | Grant
Universidad Complutense de Madrid (Madrid, ES)
Source: Self-asserted source
Asier López-Gordón

Works (18)

Homogeneous bi-Hamiltonian structures and integrable contact systems

2025-02-24 | Preprint
Contributors: Leonardo Colombo; Manuel de León; María Emma Eyrea Irazú; Asier López-Gordón
Source: Self-asserted source
Asier López-Gordón

A new perspective on nonholonomic brackets and Hamilton–Jacobi theory

Journal of Geometry and Physics
2024 | Journal article
EID:

2-s2.0-85184506305

Part of ISSN: 03930440
Contributors: de León, M.; Lainz, M.; López-Gordón, A.; Marrero, J.C.
Source: Self-asserted source
Asier López-Gordón via Scopus - Elsevier
grade
Preferred source (of 5)‎

On the integrability of hybrid Hamiltonian systems

8th IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control LHMNC 2024
2024-09-25 | Conference paper
EID:

2-s2.0-85180736475

Part of ISSN: 23318422
Part of ISSN: 2405-8963
Contributors: Asier López-Gordón; Leonardo J. Colombo
Source: Self-asserted source
Asier López-Gordón
grade
Preferred source (of 4)‎

The geometry of dissipation

2024-09-18 | Dissertation or Thesis
Contributors: Asier López-Gordón
Source: Self-asserted source
Asier López-Gordón

Hamilton–Jacobi theory for nonholonomic and forced hybrid mechanical systems

Geometric Mechanics
2024-06 | Journal article
Contributors: Leonardo Colombo; Manuel de León; María Emma Eyrea Irazú; Asier López-Gordón
Source: check_circle
Crossref
grade
Preferred source (of 4)‎

Nonholonomic Brackets: Eden Revisited

2023 | Book chapter
Contributors: Manuel de León; Manuel Lainz; Asier López-Gordón; Juan Carlos Marrero
Source: check_circle
Crossref
grade
Preferred source (of 6)‎

Symmetries, Conservation and Dissipation in Time-Dependent Contact Systems

Fortschritte der Physik
2023 | Journal article
EID:

2-s2.0-85159934970

Part of ISSN: 15213978 00158208
Contributors: Gaset, J.; López-Gordón, A.; Rivas, X.
Source: Self-asserted source
Asier López-Gordón via Scopus - Elsevier
grade
Preferred source (of 7)‎

Discrete Mechanics and Optimal Control for Passive Walking with Foot Slippage

2023 American Control Conference (ACC)
2023-07-03 | Conference paper
EID:

2-s2.0-85139289585

Part of ISSN: 23318422
Contributors: Alexandre Anahory Simoes; Asier López-Gordón; Anthony Bloch; Leonardo Colombo
Source: Self-asserted source
Asier López-Gordón
grade
Preferred source (of 5)‎

Nonsmooth Herglotz variational principle

2023 American Control Conference (ACC)
2023-07-03 | Conference paper
EID:

2-s2.0-85170920179

Part of ISSN: 23318422
Contributors: Asier López-Gordón; Leonardo Colombo; Manuel de León
Source: Self-asserted source
Asier López-Gordón
grade
Preferred source (of 4)‎

Hamilton–Jacobi theory and integrability for autonomous and non-autonomous contact systems

Journal of Geometry and Physics
2023-05 | Journal article
Contributors: Manuel de León; Manuel Lainz; Asier López-Gordón; Xavier Rivas
Source: check_circle
Crossref
grade
Preferred source (of 5)‎

Liouville-Arnold theorem for contact Hamiltonian systems

2023-02 | Preprint
Contributors: Leonardo Colombo; Manuel de León; Manuel Lainz; Asier López-Gordón
Source: Self-asserted source
Asier López-Gordón
grade
Preferred source (of 3)‎

Contact Lagrangian systems subject to impulsive constraints

Journal of Physics A: Mathematical and Theoretical
2022 | Journal article
EID:

2-s2.0-85140912936

Part of ISSN: 17518121 17518113
Contributors: Colombo, L.; de León, M.; López-Gordón, A.
Source: Self-asserted source
Asier López-Gordón via Scopus - Elsevier
grade
Preferred source (of 7)‎

Hybrid Routhian reduction for simple hybrid forced Lagrangian systems

2022-08-05 | Conference paper
EID:

2-s2.0-85171074902

Part of ISSN: 23318422
Contributors: María Emma Eyrea Irazú; Asier López-Gordón; Leonardo Colombo; Manuel de León
Source: Self-asserted source
Asier López-Gordón
grade
Preferred source (of 5)‎

Discrete Hamilton–Jacobi theory for systems with external forces

Journal of Physics A: Mathematical and Theoretical
2022-05-20 | Journal article
Contributors: Manuel de León; Manuel Lainz; Asier López-Gordón
Source: check_circle
Crossref
grade
Preferred source (of 7)‎

Geometric Hamilton–Jacobi theory for systems with external forces

Journal of Mathematical Physics
2022-02-01 | Journal article
Contributors: Manuel de León; Manuel Lainz; Asier López-Gordón
Source: check_circle
Crossref
grade
Preferred source (of 5)‎

Symmetries, constants of the motion, and reduction of mechanical systems with external forces

Journal of Mathematical Physics
2021 | Journal article
EID:

2-s2.0-85103754105

Part of ISSN: 00222488
Contributors: de León, M.; Lainz, M.; López-Gordón, A.
Source: Self-asserted source
Asier López-Gordón via Scopus - Elsevier
grade
Preferred source (of 4)‎

Generalized hybrid momentum maps and reduction by symmetries of forced mechanical systems with inelastic collisions

2021-12-05 | Preprint
EID:

2-s2.0-85179537597

Part of ISSN: 15565068
Contributors: Leonardo Colombo; Manuel de León; María Emma Eyrea Irazú; Asier López-Gordón
Source: Self-asserted source
Asier López-Gordón
grade
Preferred source (of 5)‎

The geometry of Rayleigh dissipation

2021-07-08 | Dissertation or Thesis
EID:

2-s2.0-85169990592

Part of ISSN: 23318422
Source: Self-asserted source
Asier López-Gordón
grade
Preferred source (of 2)‎

Peer review (6 reviews for 4 publications/grants)

Review activity for International journal of geometric methods in modern physics. (3)
Review activity for Journal of physics. (1)
Review activity for Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. (1)
Review activity for Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A, Matemáticas (1)