Marcelo Campos

e-mail: marcelo.campos@impa.br


About me:

I am a 2nd year PhD student of Rob Morris at IMPA. My interests have been focused mainly on random matrix theory, probabilistic and additive combinatorics, but I am open to learning about and working on any nice problems :).


Research:

The singularity probability of a random symmetric matrix is exponentially small,
with Matthew Jenssen, Marcus Michelen and Julian Sahasrabudhe,
submitted

Singularity of random symmetric matrices revisited,
with Matthew Jenssen, Marcus Michelen and Julian Sahasrabudhe,
submitted

The typical structure of sets with small sumset,
with Maurício Collares, Robert Morris, Natasha Morrison and Victor Seixas,
accepted to International Mathematics Research Notices

On the singularity of random symmetric matrices,
with Letícia Mattos, Robert Morris and Natasha Morrison,
Duke Mathematical Journal , volume 170, no. 5, pages 881 — 907 (2021)

On the number of sets with a given doubling constant,
Israel Journal of Mathematics, volume 236, pages 711 — 726 (2020)