• PAOLO FREGUGLIA

    Full Professor
    Dept. of Pure and Applied Mathematics
    University of L’Aquila, Italy

  • SHORT CURRICULUM

    Freguglia graduated in 1970 with the laurea degree from the University of Roma "La Sapienza". He was associate professor of History of Science and Philosophy of Science and then of Matematiche Complementari (which is a discipline involving History of Mathematics, Foundations of mathematics) from 1981 at the University of Genoa and from 1988 at University of Siena. In 1994 he becomes full professor (ordinarius) first at University of Chieti-Pescara and then at University of L’Aquila. He also taught at University of Bologna. His research, in addition to the history and foundations of mathematics, concern the theoretical biology (mathematical model for evolution theory) and analytic mechanics (betatronic motion and optical simulation). For this reason he taught at Unversity of L’Aquila mathematical biology, statistics and ecology modeling. He has been visiting professor in foreign universities (in particular at Nantes University, UCLA Los Angeles, EHES Paris, CNRS Tours) and at Pisa Scuola Normale Superiore. Managing Editor of the review Theoretical Biology Forum , member of Editorial Board of international review of history of science Phyisis. Formerly Advisory Editor of the reviews Sciences et Techniques en Perspective. Now editorial secretary of Bollettino di Storia delle Scienze Matematiche . Freguglia’s scientific research deals with the analysis of algebra and geometry in the 16th and 17th centuries (in particular the work of François Viète) and of the early period of the calculus of variations (Jakob and Johann Bernoulli, L.Euler and J.L.Lagrange). He studied also the geometrical and algebraic structures (W.R.Hamilton quaternions, Grassmann-Peano geometric calculus) during the 19th and 20th centuries. In the field of theoretical biology Freguglia’s research concerns the construction of mathematical model of evolutionary theory according to G.V.Schiaparelli’s ideas. While with regard to analytic mechanics he studied the various aspects (dynamical and geometrical) of the betatronic motion, also with its optical simulations.

  • MAIN RESEARCH ACTIVITIES

    Mathematical models in Physics (geometrical optics and beam dynamics) and in Biology (geometrical and dynamics models in Evolutionary theories), Mathematical modeling of Protein Folding.
    History of mathematics (algebra and geometry in the XVI and XVII century and in XIX and XX century).
    Logic and foundations (modern aspects of the syllogistics, inductive statistics, analysis of Peano’s school contributions to foundations of mathematics).