Teacher, ISIS Paolino d'Aquileia

Email: nicolo.cangiotti AT polimi.it

The research focuses on the intersection of mathematics, mathematical physics, and philosophy of science, with particular emphasis on stochastic analysis, probability theory, differential equations, and quantum dynamical systems. Research interests include Feynman path integrals, Schrödinger equations, coupled field systems, and the mathematical modeling of social, biological, and epidemiological phenomena. Further work explores nonlinear Schrödinger equations on periodic metric graphs and the relationship between geometry and the behavior of solutions. Alongside mathematical research, there is a strong interest in the philosophy of mathematics and physics, particularly the interpretation of Feynman diagrams, the role of analogies in mathematical discovery, and the application of probability theory to concepts of justice and fairness. Quantum gravity also represents a common thread connecting the mathematical and philosophical dimensions of this research.

Home-page: https://www.nicolocangiotti.eu/

arxiv id: cangiotti_n_1

orcid id: 0000-0003-2200-446X

Available papers (10):

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• W. Borrelli - N. Cangiotti - S. Dovetta - L. Tentarelli (Preprint)
  Normalized nonlinear Schrödinger ground states on defected grids with unbounded defects (2026)
• N. Cangiotti - I. Gallo - D. Spitzkopf (Accepted Paper: Physica Scripta)
  Nonlinear Schrödinger Equation with magnetic potential on metric graphs (2026)
• N. Cangiotti - M. Caponi - A. Maione - E. Vitillaro (preprint)
  Klein-Gordon-Born-Infeld equations driven by mixed local-nonlocal operators 🔵 (2026)
• N. Cangiotti - M. Capolli (Banach J. Math. Anal.)
  Morrey-Campanato functional spaces for Carnot groups (2025)
• N. Cangiotti - M. Caponi - A. Maione - E. Vitillaro (Fractional Calculus and Applied Analysis)
  Schrödinger-Maxwell equations driven by mixed local-nonlocal operators 🟢 (2024)
• N. Cangiotti - M. Caponi - A. Maione - E. Vitillaro (Milan Journal of Mathematics)
  Klein-Gordon-Maxwell equations driven by mixed local-nonlocal operators 🟢 (2023)
• N. Cangiotti - M. Capolli - M. Sensi (Operational Research)
  A generalization of unaimed fire Lanchester’s model in multi-battle warfare (2023)
• N. Cangiotti - M. Capolli - M. Sensi - S. Sottile (Bollettino dell'Unione Matematica Italiana)
  A survey on Lyapunov functions for epidemic compartmental models (2023)
• N. Cangiotti - M. Sensi (Indian Journal of Pure and Applied Mathematics)
  Exact solutions for a Solow-Swan model with non-constant returns to scale (2023)
• S. Albeverio - N. Cangiotti - S. Mazzucchi (Communications in Mathematical Physics)
  A rigorous mathematical construction of Feynman path integrals for the Schrödinger equation with magnetic field (2020)