I am a postdoc at Universidade de São Paulo (USP) under supervision of Renato Vianna.
I did my PhD at IMPA under supervision of Vinicius Ramos.
My research interest are in symplectic embedding problems, pseudo-holomorphic curves, ECH, conservative dynamics and I like to think some problems in differential geometry.
E-mail: marcelo.miranda@ime.usp.br
Embedded contact homology of the unit cotangent bundle of the Klein bottle. (with Vinicius Ramos ) arXiv:2508.06400 .
Canonical frames in contact three-manifolds, classifications results and applications. (with B. Ferreira and A. Vicent) arXiv:2603.30027 .
Obstructions to symplectic embeddings between toric domains. (with J. Trejos and P. Salomão) arxiv.org/abs/2608.27905 .
Symplectic concordance and Cˆ0 stability of Reeb orbits. (in progress).
Symplectic embeddings of disk bundles of spheres. (with B. Ferreira and S. Vialaret, in progress)
Local Hofer conjecture. (with B. Ferreira, in progress)
Newhouse dichotomy for Reeb flows. (with V. Medeiros, in progress)
Minimal number of simple closed geodesics in Klein bottle. (with G. Freitas, in progress)