Research

My research lies within the field of mathematical and theoretical physics. In particular I am interested in the study of classical and quantum aspects of general relativity, field theory, statistical mechanics and combinatorics.

List of publications [see also INSPIRE]

1. Dynamical time and Ashtekar variables for the Husain-Kuchař model
   F Barbero, J Margalef-Bentabol, Aitor Vicente-Cano, EJS Villaseñor
   Physical Review D (article in press)
2. Spacetime symmetries and geometric diffusion
   M Basquens, A Lasanta, E Mompó, V Varo, EJS Villaseñor
   Journal of Physics A: Mathematical and Theoretical 57 (2024) 285204
3. Euclidean self-dual gravity: Ashtekar variables without gauge fixing
   F Barbero, M Basquens, EJS Villaseñor
   Physical Review D 109 (2024) 064047
4. Dirac geometric approach for the unimodular Holst action
   B Díaz, EJS Villaseñor, D Zomeño
   Mathematics 12 (2024) 890
5. Poisson brackets in Sobolev spaces: a mock holonomy-flux algebra
   F Barbero, M Basquens, B Díaz, EJS Villaseñor
   Physica Scripta 97 (2022) 125202
6. Edge observables of the Maxwell-Chern-Simons theory
   F Barbero, B Díaz, J Margalef-Bentabol, EJS Villaseñor
   Physical Review D 106 (2022) 025011
7. Consistent and non-consistent deformations of gravitational theories
   F Barbero, M Basquens, B Díaz, EJS Villaseñor
   Journal of High Energy Physics 05 (2022) 175
8. Proof of the equivalence of the symplectic forms derived from the canonical and the covariant phase space formalisms
   J Margalef-Bentabol, EJS Villaseñor
   Physical Review D 105 (2022) L101701
9. On the on-shell equivalence of general relativity and Holst theories with nonmetricity, torsion, and boundaries
   F Barbero, J Margalef-Bentabol, V Varo, EJS Villaseñor
   Physical Review D 105 (2022) 064066
10. Covariant phase space for gravity with boundaries: metric versus tetrad formulations
    F Barbero, J Margalef-Bentabol, V Varo, EJS Villaseñor
    Physical Review D 104 (2021) 044048
11. Palatini gravity with nonmetricity, torsion, and boundaries in metric and connection variables
    F Barbero, J Margalef-Bentabol, V Varo, EJS Villaseñor
    Physical Review D 104 (2021) 044046
12. Three roads to the geometric constraint formulation of gravitational theories with boundaries
    F Barbero, M Basquens, V Varo, EJS Villaseñor
    Symmetry 13 (2021) 1430
13. Hamiltonian Gotay-Nester-Hinds analysis of the parametrized unimodular extension of the Holst action
    F Barbero, B Díaz, J Margalef-Bentabol, EJS Villaseñor
    Physical Review D 103 (2021) 064062
14. Concise symplectic formulation for tetrad gravity
    F Barbero, B Díaz, J Margalef-Bentabol, EJS Villaseñor
    Physical Review D 103 (2021) 024051
15. Geometric formulation of the covariant phase space methods with boundaries
    J Margalef-Bentabol, EJS Villaseñor
    Physical Review D 103 (2021) 025011
16. A two-sided Faulhaber-like formula involving Bernoulli polynomials
    F Barbero, J Margalef-Bentabol, EJS Villaseñor
    Comptes Rendus Mathématique 357 (2020) 41
17. On the asymptotics of the rescaled Appell polynomials
    F Barbero, J Salas, EJS Villaseñor
    Advances in Applied Mathematics 113 (2020) 101962
18. Generalizations of the Pontryagin and Husain-Kuchař actions to manifolds with boundary
    F Barbero, B Díaz, J Margalef-Bentabol, EJS Villaseñor
    Journal of High Energy Physics 1910 (2019) 121
19. Dirac's algorithm in the presence of boundaries: a practical guide to a geometric approach
    F Barbero, B Díaz, J Margalef-Bentabol, EJS Villaseñor
    Classical and Quantum Gravity 36 (2019) 205014
20. Adiabatic expansions for Dirac fields, renormalization, and anomalies
    F Barbero, A Ferreiro, J Navarro-Salas, EJS Villaseñor
    Physical Review D 98 (2018) 025016
21. On the distribution of the eigenvalues of the area operator in loop quantum gravity
    F Barbero, J Margalef-Bentabol, EJS Villaseñor
    Classical and Quantum Gravity 35 (2018) 065008
22. Boundary Hilbert spaces and trace operators
    F Barbero, BA Juárez-Aubry, J Margalef-Bentabol, EJS Villaseñor
    Classical and Quantum Gravity 34 (2017) 095005
    
    CQG+ | Can boundaries and Hamiltonians get along?
23. Functional evolution of scalar fields in bounded one-dimensional regions
    F Barbero, J Margalef-Bentabol, EJS Villaseñor
    Classical and Quantum Gravity 34 (2017) 065004
24. Hamiltonian dynamics of the parametrized electromagnetic field
    F Barbero, J Margalef-Bentabol, EJS Villaseñor
    Classical and Quantum Gravity 33 (2016) 125030
25. Hamiltonian description of the parametrized scalar field in bounded spatial regions
    F Barbero, J Margalef-Bentabol, EJS Villaseñor
    Classical and Quantum Gravity 33 (2016) 105002
26. Quantization of scalar fields coupled to point-masses
    F Barbero, BA Juárez-Aubry, J Margalef-Bentabol, EJS Villaseñor
    Classical and Quantum Gravity 32 (2015) 245009
27. Generalized Stirling permutations and forests: higher-order Eulerian and Ward numbers
    F Barbero, J Salas, EJS Villaseñor
    Electronic Journal of Combinatorics 22(3) (2015) #P3.37
28. Gauge invariance in simple mechanical systems
    F Barbero, J Prieto, EJS Villaseñor
    European Journal of Physics 36 (2015) 055005
29. Bivariate generating functions for a class of linear recurrences: general structure
    F Barbero, J Salas, EJS Villaseñor
    Journal of Combinatorial Theory, Series A125 (2014) 146-165
30. Topology of the Misner space and its g-boundary
    J Margalef-Bentabol, EJS Villaseñor
    General Relativity and Gravitation 46 (2014) 1755
31. Separable Hilbert space for loop quantization
    F Barbero, T Pawłowski, EJS Villaseñor
    Physical Review D 90 (2014) 067505
32. Hamiltonian treatment of linear field theories in the presence of boundaries: a geometric approach
    F Barbero, J Prieto, EJS Villaseñor
    Classical and Quantum Gravity 31 (2014) 045021
    
    Selected by the Editorial Board of Classical and Quantum Gravity as one of the journal's Highlights of 2013-2014
33. Band structure in the polymer quantization of the harmonic oscillator
    F Barbero, J Prieto, EJS Villaseñor
    Classical and Quantum Gravity 30 (2013) 165011
34. Quantum isolated horizons and black hole entropy
    F Barbero, J Lewandowski, EJS Villaseñor
    PoS QGQGS2011 (2011) 023
35. The thermodynamic limit and black hole entropy in the area ensemble
    F Barbero, EJS Villaseñor
    Classical and Quantum Gravity 28 (2011) 215014
36. Statistical description of the black hole degeneracy spectrum
    F Barbero, EJS Villaseñor
    Physical Review D 83 (2011) 104013
37. Detailed black hole state counting in loop quantum gravity
    I Agullo, F Barbero, EF Borja, J Diaz-Polo, EJS Villaseñor
    Physical Review D 82 (2010) 084029
38. Quantization of midisuperspace models
    F Barbero, EJS Villaseñor
    Living Reviews in Relativity 13 (2010) 6
39. Combinatorics of the SU(2) black hole entropy in loop quantum gravity
    I Agullo, F Barbero, EF Borja, J Diaz-Polo, EJS Villaseñor
    Physical Review D 80 (2009) 084006
40. Flux-area operator and black hole entropy
    F Barbero, J Lewandowski, EJS Villaseñor
    Physical Review D 80 (2009) 044016
41. The time-dependent quantum harmonic oscillator revisited: applications to quantum field theory
    D Gómez Vergel, EJS Villaseñor
    Annals of Physics 324 (2009) 1360-1385
42. On the computation of black hole entropy in loop quantum gravity
    F Barbero, EJS Villaseñor
    Classical and Quantum Gravity 26 (2009) 035017
43. Introduction to Quantum Mechanics
    EJS Villaseñor
    AIP Conference Proceedings 1023 (2008) 107
44. Generating functions for black hole entropy in loop quantum gravity
    F Barbero, EJS Villaseñor
    Physical Review D 77 (2008) 121502(R)
45. Quantum Einstein-Rosen waves: Coherent states and n-point functions
    F Barbero, I Garay, EJS Villaseñor
    Classical and Quantum Gravity 25 (2008) 205013
46. Black hole state counting in loop quantum gravity: A number-theoretical approach
    I Agullo, F Barbero, EF Borja, J Diaz-Polo, EJS Villaseñor
    Physical Review Letters 100 (2008) 211301
47. Unitary evolution of free massless fields in de Sitter space-time
    D Gómez Vergel, EJS Villaseñor
    Classical and Quantum Gravity 25 (2008) 145008
48. Quantum unitary evolution of linearly polarized S¹ x S² and S³ Gowdy models coupled to massless scalar fields
    F Barbero, D Gómez Vergel, EJS Villaseñor
    Classical and Quantum Gravity 25 (2008) 085002
49. Classical and quantum behavior of dynamical systems defined by functions of solvable Hamiltonians
    F Barbero, I Garay, EJS Villaseñor
    American Journal of Physics 76 (2008) 153
50. Hamiltonian dynamics of linearly polarized Gowdy models coupled to massless scalar fields
    F Barbero, D Gómez Vergel, EJS Villaseñor
    Classical and Quantum Gravity 24 (2007) 5945
51. Probing quantized Einstein-Rosen waves with massless scalar matter
    F Barbero, I Garay, EJS Villaseñor
    Physical Review D 74 (2006) 044004
52. Evolution operators for linearly polarized two-Killing cosmological models
    F Barbero, D Gómez Vergel, EJS Villaseñor
    Physical Review D 74 (2006) 024003
53. Exact quantization of Einstein-Rosen waves coupled to massless scalar matter
    F Barbero, I Garay, EJS Villaseñor
    Physical Review Letters 95 (2005) 051301
54. Asymptotics of regulated field commutators for Einstein-Rosen waves
    F Barbero, GA Mena Marugán, EJS Villaseñor
    Journal of Mathematical Physics 46 (2005) 062306
55. Asymptotic analysis of field commutators for Einstein-Rosen gravitational waves
    F Barbero, GA Mena Marugán, EJS Villaseñor
    Journal of Mathematical Physics 45 (2004) 3498
56. Particles and vacuum for perturbative and non-perturbative Einstein-Rosen gravity
    F Barbero, GA Mena Marugán, EJS Villaseñor
    Physical Review D 70 (2004) 044028
57. Quantum cylindrical waves and sigma models
    F Barbero, GA Mena Marugán, EJS Villaseñor
    International Journal of Modern Physics D 13 (2004) 1119
58. Time uncertainty in quantum gravitational systems
    F Barbero, GA Mena Marugán, EJS Villaseñor
    Physical Review D 69 (2004) 044017
59. Lorentz violations and euclidean signature metrics
    F Barbero, EJS Villaseñor
    Physical Review D 68 (2003) 087501
60. Microcausality and quantum cylindrical gravitational waves
    F Barbero, GA Mena Marugán, EJS Villaseñor
    Physical Review D 67 (2003) 124006
61. Higher derivative fermionic field theories
    EJS Villaseñor
    Journal of Physics A: Mathematical and General 35 (2002) 6169
62. Kinetic terms for 2-forms in four dimensions
    F Barbero, EJS Villaseñor
    Physical Review D 66 (2002) 045013
63. Diff-invariant kinetic terms in arbitrary dimensions
    F Barbero, EJS Villaseñor
    Physical Review D 65 (2002) 125020
64. Higher-derivative boson field theories as constrained second-order theories
    FJ de Urries, J Julve, EJS Villaseñor
    Journal of Physics A: Mathematical and General 34 (2001) 8919
65. Quadratic s-form field actions with semi-bounded energy
    F Barbero, EJS Villaseñor
    Nuclear Physics B 600 (2001) 423
66. BF actions for the Husain-Kuchař model
    F Barbero, EJS Villaseñor
    Physical Review D 63 (2001) 084021
67. In search of local degrees of freedom in quadratic diff-invariant Lagrangians
    F Barbero, EJS Villaseñor
    Physical Review D 61 (2000) 104014
68. Gauge fixing in higher derivative gravity
    A Bartoli, J Julve, EJS Villaseñor
    Classical and Quantum Gravity 16 (1999) 2283

Bachelor's degree courses

Master's degree courses