Preprints (comments are very welcome):

- Higher lattices, discrete two-dimensional holonomy and topological phases in (3+1) D with higher gauge symmetry
. With Alex Bullivant, Marcos Calçada,
Zoltán Kádár and Paul Martin.

-Two-Fold Homotopy of 2-Crossed
Module Maps of Commutative Algebras. With İ.İlker Akça and Kadir Emir.

Publications (comments are very welcome as well):

-Topological phases from higher
gauge symmetry in 3+1D. With Alex Bullivant, Marcos Calçada,
Zoltán Kádár and Paul Martin. PHYSICAL REVIEW B 95, 155118 (2017). Preliminary version.

-Categorifying the $sl(2,C)$ Knizhnik-Zamolodchikov Connection via an
Infinitesimal 2-Yang-Baxter Operator in the String Lie-2-Algebra,
with
Lucio Simone Cirio. Advances in Theoretical and Mathematical Physics. Volume 21 (2017)
Number 1, Pages: 147 - 229.
Preliminary version.

-Crossed modules of Hopf algebras and of associative algebras and two-dimensional holonomy.
To appear in Journal of Geometry and Physics. Preliminary version.

-Pointed Homotopy of Maps Between 2-Crossed Modules of Commutative Algebras, with İ.İlker Akça and Kadir Emir. To appear in Homology,
Homotopy and Applications. Preliminary version.

-Link invariants from finite categorical groups, with Roger
Picken. To appear in Homology,
Homotopy and Applications. This is a very reduced version of: Link invariants from finite categorical groups and braided crossed modules.

-Infinitesimal 2-braidings and differential crossed modules, with Lucio Cirio.
Advances in Mathematics,
Volume 277, 4 June 2015, Pages 426–491. Preliminary version.

-Pointed homotopy and pointed lax homotopy of 2-crossed module maps,
with Björn Gohla, Advances in Mathematics
Volume 248, 25 November 2013, Pages 986–1049. Preliminary version. Very preliminary version.

-Spin Foam State Sums and Chern-Simons Theory, with Aleksandar
Miković . Chern-Simons gauge theory: 20 years after, 277–284, AMS/IP Stud. Adv. Math., 50, Amer. Math. Soc., Providence, RI, 2011.
Preliminary version.

-Categorifying the Knizhnik–Zamolodchikov connection,
with
Lucio Simone Cirio, Differential Geometry and its Applications, Volume 30, Issue 3, June 2012, Pages 238–261. Preliminary version.

-Four-Dimensional Spin Foam Perturbation Theory, with Aleksandar
Miković .
Symmetry, Integrability and Geometry: Methods and Applications (SIGMA).
7 (2011), 094, 22 pages.

-The fundamental 2-crossed complex of a reduced CW-complex.
Homology,
Homotopy and Applications, Vol. 13 (2011), No. 2, pp.129-157.

-Lie crossed modules and gauge-invariant actions for 2-BF theories, with Aleksandar Miković. Advances in Theoretical and Mathematical Physics, Volume 15, Number 4 (August 2011) p.1059-1084. Preliminary version

-Surface
Holonomy for Non-Abelian 2-Bundles via Double Groupoids, with
Roger Picken.
*Advances
in Mathematics
Volume
226, Issue 4, 1 March 2011, Pages 3309-3366. Preliminary version.
Very preliminary version.
*

-The
fundamental Gray 3-groupoid of a smooth manifold and local
3-dimensional holonomy based on a 2-crossed module, with Roger
Picken. *Differential
Geometry and its Applications Volume
29, Issue 2, March 2011, Pages 179-206. Preliminary version. Very preliminary version. *

-On
Two-Dimensional Holonomy, with Roger
Picken. *Transactions of the
American Mathematical Society*, 362 (2010), 5657-5695.

-Spin
Foam Perturbation Theory for Three-Dimensional Quantum Gravity,
with Aleksandar
Miković . *Communications
in Mathematical Physics.* Volume 288, Number 2 / June,
2009.

-The
Fundamental Crossed Module of the Complement of a Knotted Surface.
*Transactions of the American
Mathematical Society.* 361 (2009), 4593-4630.

-Invariants
of Welded Virtual Knots Via Crossed Module Invariants of Knotted
Surfaces, with Louis
H. Kauffman. *Compositio
Mathematica.* Volume 144, Issue 04, July 2008, pp
1046-1080.

-Invariants
of Spin Networks Embedded in Three-Manifolds,
with Aleksandar
Miković. *Communications
in Mathematical Physics,* Volume 279, Number 2/ Abril
2008, pages 381-399.

-Observables
in the Turaev-Viro and Crane-Yetter models, with John
W. Barrett and J. Manuel Garcia Islas. *Journal
of Mathematical Physics,* **48**, 093508 (2007) (*18
pages*).

-On
Yetter's Invariant and an Extension of the Dijkgraaf-Witten Invariant
to Categorical Groups, with Timothy
Porter. *Theory and
Application of Categories,* Vol. 18, 2007, No. 4, pp 118-150.

-On the
Homotopy Type and the Fundamental Crossed Complex of the Skeletal
Filtration of a CW-Complex. *Homology
Homotopy and Application*s, Vol. 9
(2007), No. 1, pp.295-329.

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

PhD Thesis:

-Quantum Topology and the Lorentz Group.

Thesis related publications

-Knot Theory with the Lorentz Group, FUNDAMENTA MATHEMATICAE 188 (2005), 59-93. (Special volume based on papers submitted by the participants of the Second International Conference “Knots in Poland 2003”).

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