Publications

Outreach 

• Creating Patterns (Interview for the SESI Lab Museum of Art, Science and Technology, Brasilia, Brazil, 2023; page 302 for English, página 184 para Português)

• O Vermeer quase perfeito (Ciência e Matemática, Globo, 2021)

• Desertos e padrões (Jornal da USP, 2017)

Submitted

• (with A. López-Nieto, N. Vassena, H. Stuke, J.-Y. Dai ) Hybrid Bifurcations and Stable Periodic Coexistence for Competing Predators (arXiv)

• (with A. Carvalho, E. Moreira, A. Oliveira-Sousa) A unified theory for inertial manifolds, saddle point property and exponential dichotomy (arXiv)

Peer-reviewed

• (with J. Pimentel) Unbounded Sturm attractors for quasilinear parabolic equations (Proc. Edinburgh Math. Soc. or arXiv, 2024)

• (with E. Beatriz) An energy formula for fully nonlinear degenerate parabolic equations in one spatial dimension (Math. Ann. or  arXiv, 2024)

• Sturm attractors for fully nonlinear parabolic equations (Rev. Mat. Complutense or arXiv, 2023)

• (with K. E. M. Church, O. Hénot, J.-P. Lessard, H. Sprink) Periodic orbits in Hořava-Lifshitz cosmologies (Gen. Relativity and Grav. or arXiv, 2023)

• (with J. Hell and C. Uggla) Bifurcations and Chaos in Hořava-Lifshitz Cosmology (Adv. Theor. Math. Phys. or arXiv, 2022)

• (with V. H. Daniel) Chaos in spatially homogeneous Hořava-Lifshitz subcritical cosmologies (Classical and Quantum Gravity or arXiv, 2022)

• (with J.-Y. Dai) Ginzburg-Landau patterns in circular and spherical geometries: vortices, attractors and spirals (SIAM J. App. Dyn. Sys. or arXiv, 2021)

• A symmetry property for fully nonlinear elliptic equations on the sphere (Bull. Brazilian Math. Soc. or arXiv, 2020)

• Sturm Attractors for parabolic equations with singular coefficients (J. Dyn. Diff. Eq. or arXiv, 2020)

• Space of initial data for self-similar Schwarzschild solutions of the Einstein equations (Phys. Rev. D or arXiv, 2019)

• (with B. Fiedler) A Lyapunov function for fully nonlinear parabolic equations (São Paulo J. Math. Sci. or arXiv, 2019)

• (with J. Pimentel) Slowly non-dissipative equations with oscillating growth (Portugaliae Math. or arXiv, 2018)

• Sturm Attractors for quasilinear parabolic equations (J. Diff. Eq. or arXiv, 2018)