Pedro Araújo









        Postdoc in Combinatorics
        Faculty of Nuclear Sciences and Physical Engineering of the Czech Technical University in Prague
        Prague, Czech Republic
        E-mail: pedro (small point that indicates end of sentences) araujo (letter 'a' inside a circle) cvut (same small point) cz
        Google Scholar

Research Interests

I am a postdoctoral researcher at the Department of Mathematics in the Faculty of Nuclear Sciences and Physical Engineering of the Czech Technical University in Prague. Before that I was a postdoc in the Institute of Theoretical Computer Sciences (ICS) of the Czech Academy of Sciences and a PhD student at IMPA under advisement of Rob Morris. My research focuses on Extremal and Probabilistic Combinatorics. In particular, I am interested in the study of Ramsey Theory, random graphs, pseudo-random structures, graph expansion and tree embeddings.


Publications

  • Extreme local statistics in random graphs: maximum tree extension counts
    P. Araújo, S. Griffiths, M. Šileikis, L. Warnke
    ArXiv

  • Ramsey numbers of cycles in random graphs
    P. Araújo, M. Pavez-Signé, N. Sanhueza-Matamala
    Download

  • Prominent examples on flip processes
    P. Araújo, J. Hladký, EK Keat, M. Šileikis
    ArXiv

  • Ramsey goodness of trees in random graphs
    P. Araújo, L. Moreira, M. Pavez-Signé
    Random Structures and Algorithms. ArXiv

  • Localised codegree conditions for tight Hamiltonian cycles in 3-uniform hypergraphs
    P. Araújo, S. Piga, M. Schacht
    SIDMA. ArXiv

  • Counting graph orientations with no directed triangles
    P. Araújo, F. Botler, G. O. Mota
    Submitted. ArXiv

  • On the anti-Ramsey threshold for non-balanced graphs
    P. Araújo, Y. Kohayakawa, T. Martins, M. Mattos, W. Mendonça, L. Moreira, G. Mota
    ArXiv
  • Talks


    Contact me

    'Prizes'

    In every edition of the Random Structures and Algorithms conference, they hold the so-called 'Random run'. For the first time in 2022, they gave a the 'Random Runner' prize, given to an randomly chosen runner, which happened to be me. As prize, this shows that I possess some abnormal amount of luck, which is perhaps one of the most important skills for someone in Probabilistic Combinatorics. Up to this day, this remain as one my biggest strenghts.

    Contact me


        Pedro Campos Araújo
        Faculty of Nuclear Sciences and Physical Engineering of the Czech Technical University in Prague
        Department of Mathematics (Trojanova 13), room 434
        Prague, Czech Republic
        E-mail: araujo@cs.cas.cz













        Last Update:
    Thanks to Guilherme Mota for having sent me the code of his website,
    and to David for having turned it into this wonderful piece of art.