Faria Martins, J.: Knot Theory with the Lorentz Group, Fund. Math. 188 (2005), 59-93.

Faria Martins, J.: On the Analytic Properties of the z-coloured Jones Polynomial, J. Knot Theory Ramifications 14 (2005), no. 4, 435--466.

Nelson, J. E.; Picken, R. F.: Constant connections, quantum holonomies and the Goldman bracket, Adv. Theor. Math. Phys. 9 (2005) 407-433.

Stosic, M.; Picken, R. Parasupersymmetric quantum mechanics of order three and a generalized Witten index, Mod. Phys. Lett. A 20, No. 17-18, 139 5-1407 (2005).

Nelson, J. E.; Picken, R. F.: Classical and quantum geometry of moduli spaces in three-dimensional gravity, Proceedings of the XIII Fall Workshop on Geometry and Physics, Murcia, Sept. 20-22, 2004, L. J. Alías Linares et al (Eds), Publ. de la RSME, Vol. 9 (2005), pp. 104-114.

Lopes, P.; Morales, C. A. The knot group and the fundamental group of the embedding 3-manifold. J. Knot Theory Ramifications 14 (2), 265-273 (2005).

Bojarczuk, J.; Lopes, P.: Quandles at finite temperatures. III, J. Knot Theory Ramifications 14 (3), 275--373 (2005).

Faria Martins, J.: On the homotopy type and the fundamental crossed complex of the skeletal filtration of a CW-complex, Homology, Homotopy and Applications, Vol. 9 (2007), No. 1, pp.295-329.

Faria Martins, J.; Porter, T.: On Yetter´s invariant and an extension of the Dijkgraaf-Witten invariant to categorical groups. Theory Appl. Categ. 18 (2007), No. 4, 118--150 (electronic).

Barrett J. W.; Faria Martins J.; Garcia-Islas, M.: Observables in the Turaev-Viro and Crane-Yetter models, J. Math. Phys., 48, 09350 8 (2007).

Faria Martins, J.: Categorical Groups, Knots and Knotted Surfaces, J. Knot Theory Ramifications, 16 (2007), no. 9, 1181 - 1217.

Lopes, P.: Hyperfinite knots via the CJKLS invariant in the thermodynamic limit, Chaos, Solitons and Fractals, 34 (2007), no. 5, 1450-1572.

Mackaay, M.; Vaz, P.,: The universal sl_3-link homology. Algebr. Geom. Topol. 7 (2007), 1135-1169.

Mackaay, M.; Turner, P.; Vaz, P.: A remark on Rasmussen´s invariant of knots. J. Knot Theory Ramifications 16 (2007), no. 3, 333-344.

Mackaay, M.; Turner, P.: Bar-Natan´s Khovanov homology for coloured links. Pacific J. Math. 229 (2007), no. 2, 429-446.

Stosic, M.: Homological thickness and stability of torus knots, Algebr. Geom. Topol. 7 (2007) 261-284.

Faria Martins J.; Mikovic A.: Invariants of spin networks embedded in three manifolds. Commun. Math. Phys., 279, no. 2 (2008), 381-399.

Faria Martins J.; Kauffman L.: Invariants of Welded Virtual Knots Via Crossed Module Invariants of Knotted Surfaces, Compositio Mathematica, 144, no. 04, (2008), 1046-1080.

Mackaay, M.; Vaz; P.: The foam and the matrix factorization sl3 link homologies are equivalent, Algebr. Geom. Topol. 8 (2008) 309-342.

Stosic, M.: Categorification of the dichromatic polynomial for graphs. J. Knot Theory Ramifications 17 (2008), no. 1, 31-45.

Kauffman, L. H.; Lopes, P.: On the minimum number of colors for knots, Adv. in Appl. Math., 40 (2008), no. 1, 36-53.

Faria Martins, J.: The Fundamental Crossed Module of the Complement of a Knotted Surface, Trans. Amer. Math. Soc. 361 (2009), 4593-4630.

Nelson, J.; Picken, R.: A quantum Goldman bracket in 2+1 quantum gravity, J. Phys. A: Math. Theor. 41 (2008) 304011.

Lopes, P.: Sequences of knots and their limits, in Geometry and Physics: XVI International Fall Workshop, R. L. Fernandes and R. Picken (eds.), AIP Conference Proceedings, 1023, 183-186, 2008.

Stosic, M.: Khovanov homology of torus links, Topol. Appl. 156 (2009), 533-541.

Faria Martins, J.; Picken, R.: On Two-Dimensional Holonomy,  to appear in Transactions of the American Mathematical Society.

Faria Martins, J.; Mikovic, A.: Spin Foam Perturbation Theory for Three-Dimensional Quantum Gravity, Commun. Math. Phys. 288 (2), 745-772 (2009).

Mackaay, M.; Stosic, M.; Vaz, P.: Sl(N) link homology using foams and the Kapustin-Li formula, Geometry and Topology 13 (2009), 1075-1128.

Stosic, M.: Khovanov homology of torus links, Topol. Appl. 156 (2009), 533-541.

Mackaay, M.; Stosic, M.; Vaz, P.: Sl(N) link homology using foams and the Kapustin-Li formula, Geometry and Topology 13 (2009) 1075-1128.

Mackaay, M.; Stosic, M.; Vaz, P.: The 1,2-coloured HOMFLY-PT link homology, to appear in Transactions of the American Mathematical Society, 2009.

Kauffman, L.; Lopes, P.. Determinants of rational knots, Discrete Math. Theor. Comput. Sci. 11 (2), 111--122 (2009).

Lopes, P.: Permutations which make transitive groups primitive, Cent. Eur. J. Math., 7 (4), 650-659 (2009).

Stosic, M.: On conjectures about positive braid knots and almost alternating torus knots, to appear in J. Knot Theory Ramif., 2009.

Faria Martins, J.; Picken, R.: A Cubical Set Approach to 2-Bundles with Connection and Wilson Surfaces, 2008.

Faria Martins, J.; Picken, R.: The fundamental Gray 3-groupoid of a smooth manifold and local  3-dimensional holonomy based on a 2-crossed module, 2009.

Mackaay, M.: sl(3)-Foams and the Khovanov-Lauda categorification of quantum sl(k). Submitted for publication to Alg. Geom. Topol. , 2009.

Faria Martins, J.; Mikovic, A.: Four-Dimensional Spin Foam Perturbation Theory, 2009. 

Mackaay, M.; Vaz, P.: The reduced HOMFLY-PT homology for the Conway and the Kinoshita-Terasaka knots, 2009.

Mackaay, M.; Vaz, P.: The diagrammatic Soergel category and sl(N)-foams, for N > 3, 2009.

Carpentier, R.: On signed diagonal flip sequences, 2009.

Vaz, P.: The diagrammatic Soergel category and sl(2) and sl(3) foams, 2009.

Rodrigues, G.: Categorifying measure theory: a roadmap, 2009.

Lopes, P.; Matias, J.: Exact Results on Minimum Number of Colors via Small Prime Divisors, 2010.