• António Machiavelo

  • Research Area

    Number Theory

  • Institution

    University of Porto

  • PhD

    Institution: Cornell University
    Year: 1993

  • Main research publications

    • Report on Zhi-Wei Sun's 1-3-5 Conjecture and Some of Its Refinements (with Rogério Reis, Nikolaos Tsopanidis) , arXiv:2005.13526, May 2020. Accepted for publication in the Journal of Number Theory 0 (2020)
    • Zhi-Wei Sun’s 1-3-5 Conjecture and Variations (with Nikolaos Tsopanidis) , Journal of Number Theory Available online (2020)
    • Analytic Combinatorics and Descriptional Complexity of Regular Languages on Average (with Sabine Broda, Nelma Moreira, Rogério Reis) , ACM SIGACT News 51 (2020)
    • Automated Ciphertext-Only Cryptanalysis of the Bifid Cipher (with Rogério Reis) , Cryptologia 31 (2007)
    • Chebyshev Polynomials over Finite Fields and Reversibility of sigma-Automata on Square Grids (with Markus Hunziker, Jihun Park) , Journal of Theoretical Computer Science 320 (2004)
  • PhD Students

    • Nikolaos Tsopanidis The Hurwitz and Lipschitz Integers and Some Applications 2020
    • Peter Jurriaan Lombaers On Some Norm Equations over Cyclotomic Fields 2020
    • Ivone de Fátima da Cruz Amorim Linear Finite Transducers Towards a Public Key Cryptographic System co-supervision with Rogério Reis (Programa Doutoral em Ciência de Computadores), 2016
    • Maria do Céu Pereira da Silva The Mathematical Work of Juan Pérez de Moya in the Context of the Mathematical Knowledge of the 16th Century co-supervision with Antoni Malet (Universidade Pompeu Fabra, Barcelona, Espanha), 2011

Research and Events


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Defended Theses

  • Structure, algorithmics and dynamics of endomorphisms for certain classes of groups
      André da Cruz Carvalho (April 2023)
      Pedro V. Silva
  • A point-free study of z-embeddings, more general classes of localic maps, and uniform continuity
      Ana Belén Avilez García (April 2023)
      Jorge Picado
  • Analysis of equations of motion of inextensible strings and networks
      Ayk Telciyan (April 2023)
      Dmitry Vorotnikov
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