Research

Interests

• Active

  • Self-similarity of p-adic analytic pro-p groups
  • Interactive theorem proving
  • Rain and mass-movement data in the city of Rio de Janeiro

• Standby or past

  • Logic, foundations of mathematics, set theory, model theory
  • Differentiable stacks, stacky Lie groupoids
  • Algebraic geometric error correcting codes
  • Algebraic stacks, moduli problems, virtual fundamental classes
  • Singular perturbations of self-adjoint operators
  • Non-archimedean mathematics, constructive quantum field theory
  • Applications of machine learning to data analysis (acustic emissions in pipelines, thermography)

Publications

• Noseda F., Snopce I., "On the self-similarity index of p-adic analytic pro-p groups", to appear in Journal of Group Theory (2022). ArXiv

• Noseda F., Snopce I., "On hereditarily self-similar p-adic analytic pro-p groups", to appear in Groups, Geometry, and Dynamics (2022). ArXiv

• Noseda F., Snopce I., with an appendix by Jean-Pierre Serre, "Index-stable compact p-adic analytic groups", Arch. Math. 116 (2021), 153-160. ArXiv

• Noseda F., Marnet L., Carlim C., Costa L., Moura N., Calôba L., Soares S., Clarke T., Jacques R, "A Neural Network System for Fault Prediction in Pipelines by Acoustic Emission Techniques", Research in Nondestructive Evaluation 32, n. 3-4 (2021), 132-146

• Bursztyn H., Noseda F., Zhu C., "Principal actions of stacky Lie groupoids", Int. Math. Res. Not. IMRN 2020, n. 16 (2020), 5055-5125. ArXiv

• Noseda F., Snopce I., "On self-similarity of p-adic analytic pro-p groups of small dimension", J. Algebra 540 (2019), 317-345. ArXiv

• Costa L., Marnet L., Pinto C. F., Noseda F., Calôba L., Soares S., Clarke T., Jacques R., "Identificação do estágio de propagação de descontinuidade em um corpo rígido tubular utilizando emissão acústica e redes neurais", 22º Seminário de Automação e TI, São Paulo (2018), 179-192

• Marnet L., Costa L., Pinto C. F., Noseda F., Calôba L., Soares S., Clarke T., Jacques R., "Monitoramento de defeitos em dutos rígidos por parâmetros de emissão acústica e redes neurais", 37º Seminário de Logística, São Paulo (2018), 853-867

• Noseda F., Oliveira G., Quoos L., "Bases for Riemann-Roch spaces of one-point divisors on an optimal tower of function fields", IEEE Trans. Inform. Theory 58, n. 5 (2012), 2589-2598. ArXiv

• Noseda F., "A proposal for a virtual fundamental class for Artin stacks", Ph.D. thesis (2007)

• Noseda F., "Sulle perturbazioni singolari della seconda quantizzazione dell'operatore id/dx", M.Sc. thesis (2003).