PUBLICATIONS
Journal Publications
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Intersection configurations in free and free times free-abelian groups (with M. Roy and E. Ventura) Proceedings of the Royal Society of Edinburgh Section A (to appear).
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Relative order and spectrum in free and related groups (with E. Ventura and A. Zakharov). Communications in Contemporary Mathematics (to appear).
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Autòmats d’Stallings, un camí d’anada i tornada (with E. Ventura). Butlletí de la Societat Catalana de Matemàtiques, Vol. 37, núm. 1, 2022. Pàg. 5–59.
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A list of applications of Stallings automata (with E. Ventura). Transactions on Combinatorics, Volume 11, Issue 3 (2022), pp. 181-235.
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Stallings automata for free-times-abelian groups: intersections and index (with E. Ventura). Publicacions Matemàtiques, Volume 66, Isuue 2 (2022), pp. 789-830.
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On the lattice of subgroups of a free group: complements and rank (with P.V. Silva). Journal of Groups, Complexity, Cryptology, Vol. 12, Issue 1 (February 2020), No. 01, pp. 1129-1162.
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Intersection problem for Droms RAAGs (with E. Ventura and A. Zakharov). International Journal of Algebra and Computation Vol. 28 (September 2018), No. 07, pp. 1129-1162.
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Algorithmic recognition of infinite cyclic extensions (with B. Cavallo, D. Kahrobaei, and E. Ventura). Journal of Pure and Applied Algebra 221, Issue 9 (September 2017), pp. 2157–2179.
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Some characterizations of Howson PC-groups. Reports@SCM 1 (Oct. 2014), pp. 33-38.
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Whitehead problems for words in ℤᵐ × 𝔽ₙ. Extended Abstracts Fall 2012 (Automorphisms of Free Groups). Ed. by J. Gonzlez-Meneses, M. Lustig, and E. Ventura. Trends in Mathematics. Springer International Publishing, Jan. 2014, pp. 35–38.
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Algorithmic problems for free-abelian times free groups (with E. Ventura). Journal of Algebra 391 (Oct. 2013), pp. 256–283.
Preprints and work in progress
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Stallings automata for free extensions (with E. Ventura).
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Decidability of the Brinkmann Problems for endomorphisms of the free group (with A. Carvalho)
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Yet more algorithmic problems for Droms groups (with E. Ventura and A. Zakharov).
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KWM products and the intersection problem (with M. Linton, J. López de Gámiz, M. Roy and P. Weil).
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On computable types within free groups (with E. Ventura).
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Subgroups of Droms RAAGs (with E. Ventura),
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On quotient saturated groups (with M. Roy and E. Ventura).
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Homomorphisms of free-abelian by free groups (with A. Carvalho)
Theses
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Extensions of Free Groups: algebraic, geometric, and algorithmic aspects (Ph.D. thesis). Universitat Politècnica de Catalunya, 2017.
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Problemes algorísmics en grups lliures per lliure-abelià (M.Sc. thesis). Universitat Politècnica de Catalunya, 2012).
