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Publications

Pure Mathematics:

- Equivariant K-homology and K-theory for some discrete planar affine groups, with S. Pooya and A. Valette [pdf]. To appear in Int. Math. Res. Notices.

- Bredon homology of Artin groups of dihedral type, with Y. Antolín [pdf]To appear in J. Pure Appl. Algebra.

- Covering-based numbers related to the LS-category of finite spaceswith M. Cárdenas, A. Quintero and T. Villar [pdf].     To appear in Rev. Union Mat. Argentina.

Expanders and right-angled Artin groups, with D. Kahrobaei and T. Koberda [pdf]. To appear in J. Topol. Anal.

Bredon homology of wallpaper groups, Bull. Kor. Math. Soc. 60 (2023), no. 6, 1497–1522. [pdf].

On the growth of Artin-Tits monoids and the partial theta function, with J. González-Meneses [pdf]. J. Combin. Theory A, 190 (2022), paper 105623.

- Hamiltonicity via cohomology of right-angled Artin groups, with D. Kahrobaei and T. Koberda [pdf]. Linear  Algebra Appl. 631 (2021), 94-110

Generators and closed classeswith J. L. Rodríguez. Publ. Mat. 65 (2021), 431-457. [pdf].

An algebraic characterization of k-colorability, with D. Kahrobaei and T. Koberda. Proc. Amer. Math. Soc. 149 (2021), 2249-2255. [pdf]

On localizations of quasi-simple groups with given countable center, with J. L. Rodríguez. Groups Geom. Dyn., 14 (2020), 1023-1043. [pdf]

On lexicographic representatives in braid monoids, with J. González-Meneses,  J. Algebraic Combinat., 52 (2020), 561-597. [pdf

Classifying spaces for the family of virtually cyclic subgroups of braid groups, with J. González-Meneses, Int. Math. Res. Notices., 2020 (2020), 1575-1600. [pdf]

- Minimality on diagrams of simplicial sets, with C. Broto and C. Giraldo, J. Homotopy Relat. Str., 14 (2019), 1043-1082. [pdf]

Cellular approximations of p-local compact groups, with N. Castellana and A. Gavira-Romero, J. Topol., 12 (2019), 1093-1114. [pdf]

Algorithmic problems in right-angled Artin groups, with D. Kahrobaei and T. Koberda, J. Algebra, 519 (2019) 111-129. [pdf].

Torsion homology and cellular approximation, with F. Muro. Alg. Geom. Topol., 19 (2019), 457-476. [pdf]

Cellular covers of local groups, with J. Scherer. Mediterr. J. Math., 15:229 (2018), 1-11. [pdf]

- K-homology and K-theory for the lamplighter groups of finite groups, with S. Pooya and A. Valette.  Proc. London Math. Soc., 115 (2017) 1207-1226. [pdf]

Cellular properties of nilpotent spaces, with W. Chachólski, E. Farjoun and J. Scherer.  Geom. Topol., 19 (2015) 2741-  2766. [pdf]

Homotopy idempotent functors on classifying spaces, with N. Castellana. Trans. Amer. Math. Soc., 367 (2015), 1217-            1245 [pdf]

On the classifying space for proper actions of groups with cyclic torsion, with Y. Antolín. Forum Math., 26 (2014),          271-294 [pdf]

On the idempotency of some composite functors. Israel J. Math., 187 (2012), 81-91 [pdf]

The cellular structure of the classifying spaces of finite groups, with R. Foote. Israel J. Math., 184 (2011), 129-156 [pdf]

Strongly closed subgroups of finite groups, with Richard Foote. Adv. Math., 222 (2009), 453-484 [pdf]

Cellularization of classifying spaces and fusion properties of finite groups, with J. Scherer. J. London Math. Soc., 76      (2007), 41-56 [pdf]

Classifying spaces of wallpaper groups, proceedings of the conference Geometric Group Theory, Bellaterra, 51-64, Trends in    Mathematics, Birkhäuser, 2007 [pdf]

On Bredon homology of elementary amenable groups, with B. Nucinkis. Proc. Amer. Math. Soc.  135 (2007), 5-11 [pdf]

Nullification and cellularization of classifying spaces of finite groups, Trans. Amer. Math. Soc. 359 (2006) 1791-1816 [pdf]

Nullification functors and the homotopy type of the classifying space for proper bundles, Alg. Geom. Topol., 46 (2005), 1141-1172 [pdf]

Applied Mathematics:

- Applications of group theory to cryptography, with  C. Battarbee, M.Habeeb, D. Kahrobaei and M. Noce [pdf], to appear in Mathematical Monographs and Surveys, AMS. 

Group-based cryptography in the quantum era, with D. Kahrobaei and M. Noce [pdf]. To appear in Notices Amer. Math. Soc.

A cryptographic application of the Thurston norm, with D. Kahrobaei and T. Koberda. International Journal of Computer Mathematics: computer systems theory, 5 (2020), 15-24.  [pdf]

The Shapley value as a tool for evaluating groups: axiomatization and applications, with E. Molina and J. Tejada. Handbook of the Shapley value, chapter 23. Taylor & Francis, 2019. [pdf]

Evaluating groups with the generalized Shapley value, with E. Molina and J. Tejada. Quarterly Journal of Operations Research, 17 (2019) 141-172 [pdf]

The training of soccer assistant referees beyond on-field experiences: the use of the Interactive Video Test, with M. Armenteros, A. Benítez, M. Sánchez, M. Sillero y J. Simón. International Journal of Computer Science in Sport, 17 (2018) 163-174[pdf]

Homogeneity test for functional data, with R. Lillo and J. Romo.  Journal of Applied Statistics, 45 (2018) 868-883 [pdf]

Assessment of groups in a network organization based on the Shapley group value, with E. Molina and J. Tejada.          Decision Support Systems, 83 (2016) 97-105 [pdf]

Cryptography with right-angled Artin groups, with D. Kahrobaei. Theoretical and Applied Informatics, 28 (2016) 8-16

 [pdf]

What is a good result in the first leg of a two-legged football match?, with D. Forrest and J. Tena. European Journal of    Operations Research, 247 (2015), 641-647 [pdf]

Pyramidal values, with E. Molina and J. Tejada. Annals of Operations Research, 217 (2014) 233-252 [pdf]

- Surveying FIFA instructors’ behavioral intention toward the Multimedia Teaching Materials, with M. Armenteros,      S. Liaw, M. Fernández and R. Arteaga. Computers and Education, 61 (2013), 91-104 [pdf]

Explaining and forecasting national team medals totals at the Summer Olympic Games, with A. Ceballos, D. Forrest,    I. McHale and J. Tena. International Handboook "The Economics of Mega Sporting Events", (2012) 208-224 [pdf] 

Decision taking under pressure: evidence on football manager dismissals in Argentina and their consequences,    with D. Forrest and J. Tena. European Journal of Operations Research, 222 (2012), 653-662 [pdf]

- Networks and collective action, with M. Koster, I. Lindner and E. Molina. Social Networks, 34 (2012), 570-584 [pdf]

- Impact on competitive balance from allowing foreign players in a sports league: evidence from European               soccer, with D. Forrest and J. Tena. Kyklos, 63 (2010), no.4, 546-557 [pdf]

- Modelado estocástico de las operaciones de entrada/salida sobre un disco, with L. Prada, J.D. García, A. Núñez. J.        Fernández and J. Carretero. Actas de las XVIII Jornadas de Paralelismo, Zaragoza, 1 (2007), 479-485 [pdf]

Submitted:

A model structure for locally constant factorization algebras, with V. Carmona and F. Muro [pdf]

- Post-quantum hash functions using SL(n,Fp), with C. le Coz, C. Battarbee, D.Kahrobaei and T.Koberda [pdf]

Right-angled Artin groups and the cohomology basis graph, with D. Kahrobaei, T. Koberda and C. le Coz [pdf]

In preparation:

- Fibrewise cellularizationwith C. Broto and C. Giraldo.

Classifying spaces from partitions, with Y. Antolín.

Fusion systems and conjugacy classes, with A. Díaz-Ramos. 

The model category of crossed modules is left proper, with F. Muro.

- R-bad spaces as homotopy retracts.

An extension of Maruyama-M∅ller theorem, with C. Costoya and A. Viruel.

On the position value, with E. Algaba.

- The average random order forest value, with E. Molina and J. Tejada.

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