G Fournodavlos, I Rodnianski, J Speck (2023) Stable Big Bang formation for Einstein’s equations: The complete sub-critical regime, Journal of the American Mathematical Society 36 (3), 827-916.

G Fournodavlos, J Smulevici (2023) The initial boundary value problem in General Relativity: the umbilic case, International Mathematics Research Notices 2023 (5), 3790-3807.

G Fournodavlos, J Luk (2023) Asymptotically Kasner-like singularities, American Journal of Mathematics 145 (4), 1183-1272.

G Fournodavlos (2022) Future dynamics of FLRW for the massless-scalar field system with positive cosmological constant, Journal of Mathematical Physics 63 (3).

G Fournodavlos, J Smulevici (2021) The initial boundary value problem for the Einstein equations with totally geodesic timelike boundary, Communications in Mathematical Physics 385 (3), 1615-1653.

G Fournodavlos, J Sbierski (2020) Generic blow-up results for the wave equation in the interior of a Schwarzschild black hole, Archive for Rational Mechanics and Analysis 235 (2), 927-971.

Analysis, partial differential equations, differential geometry.

More specifically, I am interested in the mathematical analysis of differential equations with a geometric background, like the Einstein equations in the context of the classical theory of general relativity.

One of my main goals is to understand the nature of singularities that are typically found in the interior of black holes or at the Big Bang.