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. Journal of Geometry and Physics. Vol. 206, 2024.

[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. Revista Matemática Iberoamericana (2025), published online first.

[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.  Springer Proc. Phys. 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.