Publications

Research Publications


[9] On the Legendrian realisation of parametric families of knots. J. Martínez-Aguinaga. Preprint. arXiv:2406.04293.

[8] On the topology of loops of contactomorphisms and Legendrians in non-orderable manifolds. L. Hernández-Corbato, J. Martínez-Aguinaga. Preprint. arXiv:2406.01148.

[7] Parametric satellites and connected-sums in the space of Legendrian embeddings. E. Fernández, J. Martínez-Aguinaga, F. Presas. Preprint. arXiv:2405.19280. 

[6] Existence and classification of maximal growth distributions. J. Martínez-Aguinaga. Preprint. arXiv:2308.10762.

[5] Classification of tangent and transverse knots in bracket-generating distributions. J. Martínez-Aguinaga, A. del Pino. Preprint. arXiv:2210.00582.

[4] Convex integration with avoidance and hyperbolic (4,6) distributions. J. Martínez-Aguinaga, Á. del Pino. Preprint.  arXiv:2112.14632. 

[3] The homotopy type of the contactomorphism groups of tight contact 3-manifolds, part I. E. Fernández, J. Martínez-Aguinaga, F. Presas. Preprint. arXiv:2012.14948.

[2] Fundamental groups of Formal Legendrian and Horizontal embedding spaces. E. Fernández, J. Martínez-Aguinaga, F. Presas. Algebraic & Geometric Topology 20 (2020), pp. 3219-3312.

[1] Loops of Legendrians in Contact 3-Manifolds. E. Fernández, J. Martínez-Aguinaga F. Presas. Classical and Quantum Physics. 60 Years Alberto Ibort Fest Geometry, Dynamics and Control. Springer Proceedings in Physics 229, pp 361–372. (2019).

Classification of corank-2 distributions through convex integration. M. Jovanovic, J. Martínez-Aguinaga,  A. del Pino, I. Zelenko. In preparation.

A control theoretic version of convex integration. J. Martínez-Aguinaga, A. del Pino. In preparation.

PhD Thesis

PhD Thesis. Global aspects of bracket-generating distributions. Aspectos globales de distribuciones generadoras por corchete. Supervised by Francisco Presas (ICMAT) and Álvaro del Pino (Utrecht University). 2023.

Divulgative and other publications

Problem 33 proposed. Problems and Solutions. Matgazine, number 6(2015), p. 59.

El problema de la aguja de Kakeya. Matgazine, number 5(2014), pp. 43–56. ISSN 2174-503X.

Proposed solution to problem 26, Problems and solutions. Matgazine, number 5(2014), pp. 67-68.

El Universo de Gödel. El despertar de una ecuación. Anaya Ediciones Matemáticas, pp. 113–117. ISBN: 978-84-678-1473-6.

Mathematical Education Publications

Multimedia learning scenarios in professional development of the novice University mathematics lecturers (ESCEMMAT-Univ)(2nd Phase). Inés Gómez-Chacón et al. E-Prints Complutense.

Notes

h-Principles. MSRI Summer Graduate School. (Lectures by Emmy Murphy). Notes by Apurva Nakade and Javier Martínez-Aguinaga.