A. Abbondandolo, G. B., O. Edtmair, Symplectic capacities of domains close to the ball and Banach–Mazur geodesics in the space of contact forms, arXiv:2312.07363, 70 pages.
G. B., J. Bimmermann, K. Zehmisch, Symplectic capacities of disc cotangent bundles of flat tori, arXiv:2311.07351, 6 pages.
L. Asselle, G. B., M. Berti, Zoll magnetic systems on the two-torus: a Nash–Moser construction, arXiv:2304.02765, 25 pages.
A. Abbondandolo, G. B., L. Polterovich, Lorentz–Finsler metrics on symplectic and contact transformation groups, arXiv:2210.02387, 105 pages.
P. Albers, G. B., An observation about conformal points on surfaces, Arnold Mathematical Journal, to appear.
A. Abbondandolo, G. B., On the local systolic optimality of Zoll contact forms, Geometric and Functional Analysis (GAFA) 33 (2023), no. 2, 299–363.
L. Asselle, G. B., Non-resonant circles for strong magnetic fields on surfaces, Annales Henri Lebesgue 5 (2022), 1191–1211.
G. B., J. Kang, On a systolic inequality for closed magnetic geodesics on surfaces, Journal of Symplectic Geometry, 20 (2022), no. 1, 99–134.
G. B., J. Kang, Relative Hofer–Zehnder capacity and positive symplectic homology, Journal of Fixed Point Theory and Applications, 24:44 (2022).
L. Asselle, G. B., Normal forms for strong magnetic systems on surfaces: Trapping regions and rigidity of Zoll systems, Ergodic Theory and Dynamical Systems 42 (2022), no. 6, 1871–1897.
L. Asselle, G. B., M. Mazzucchelli, Minimal boundaries in Tonelli Lagrangian systems, International Mathematical Research Notices 20 (2021), 15746–15787.
L. Asselle, G. B., Integrable magnetic flows on the two-torus: Zoll examples and systolic inequalities, The Journal of Geometric Analysis 31 (2021), 2924–2940.
G. B., J. Kang, A local contact systolic inequality in dimension three, Journal of the European Mathematical Society, 23 (2021), no. 3, 721–764.
G. B., A. F. Ritter, Invariance of symplectic cohomology and twisted cotangent bundles over surfaces, International Journal of Mathematics 31 (2020), no. 9, 2050070, 56 pages.
G. B., J. Kang, On a local systolic inequality for odd-symplectic forms, Portugaliae Mathematica 76 (2020), no. 3-4, 327–394.
A. Abbondandolo, L. Asselle, G. B., M. Mazzucchelli, I. A. Taimanov, The multiplicity problem for periodic orbits of magnetic flows on the 2-sphere, Advanced Nonlinear Studies 17 (2017), no. 1, 17–30.
L. Asselle, G. B., On the periodic motions of a charged particle in an oscillating magnetic field on the two-torus, Mathematische Zeitschrift 286 (2017), no. 3-4, 843–859.
G. B., On closed orbits for twisted autonomous Tonelli Lagrangian flows, Publicaciones Matemáticas del Uruguay 16 (2016), 41–79.
G. B., Magnetic Katok examples on the two-sphere, Bulletin of the London Mathematical Society 48 (2016), no. 5, 855–865.
L. Asselle, G. B., The Lusternik-Fet theorem for autonomous Tonelli Hamiltonian systems on twisted cotangent bundles, Journal of Topology and Analysis 8 (2016), no. 3, 545–570.
G. B., The contact property for symplectic magnetic fields on S^2, Ergodic Theory and Dynamical Systems 36 (2016), no. 3, 682–713.
G. B., K. Zehmisch, On the existence of periodic orbits for magnetic systems on the two-sphere, Journal of Modern Dynamics 9 (2015), 141–146.
L. Asselle, G. B., Infinitely many periodic orbits of non-exact oscillating magnetic fields on surfaces with genus at least two for almost every low energy level, Calculus of Variations and Partial Differential Equations 54 (2015), no. 2, 1525–1545.
G. B., The contact property for magnetic flows on surfaces (PhD Thesis), University of Cambridge.