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Alessandro Pelissetto

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Alessandro Pelissetto
NameAlessandro Pelissetto
Birth date1964
Birth placeTurin, Italy
NationalityItalian
FieldsMathematics, Mathematical Physics, Probability
WorkplacesUniversità di Roma "La Sapienza", Università degli Studi di Roma Tor Vergata, Scuola Normale Superiore
Alma materUniversità di Pisa, Scuola Normale Superiore
Doctoral advisorGiovanni Gallavotti
Known forRenormalization group, Critical phenomena, Statistical mechanics, Nonlinear partial differential equations

Alessandro Pelissetto is an Italian mathematician and mathematical physicist known for work on critical phenomena, renormalization group methods, and nonlinear partial differential equations. He has held academic positions at major Italian universities and contributed to international collaborations in statistical mechanics, probability theory, and mathematical analysis. Pelissetto's research bridges rigorous analysis with theoretical physics and has influenced studies of phase transitions, polymers, and fluid dynamics.

Early life and education

Born in Turin, Pelissetto completed undergraduate studies at the University of Pisa and postgraduate training at the Scuola Normale Superiore di Pisa, where he studied under Giovanni Gallavotti. He earned a doctorate with a thesis connecting rigorous aspects of statistical mechanics and quantum field theory, engaging with ideas related to the renormalization group and the Ising model. During his formative years he interacted with researchers from institutions such as the International Centre for Theoretical Physics, École Normale Supérieure, and the Max Planck Institute for Mathematics.

Academic career

Pelissetto has held faculty positions at the Sapienza University of Rome and the University of Rome Tor Vergata, and has been affiliated with the Scuola Normale Superiore. He has also been a visiting scholar at the Institut des Hautes Études Scientifiques, the California Institute of Technology, and the Massachusetts Institute of Technology. His academic roles have included membership in doctoral committees at the European Mathematical Society-linked programs and participation in seminars at the International Congress of Mathematicians and the Centro De Giorgi.

Research contributions and areas of expertise

Pelissetto's work focuses on rigorous aspects of critical phenomena and the renormalization group, including perturbative expansions for the phi^4 model and the O(N) model. He has contributed to analysis of scaling behavior in the Ising model, percolation theory, and models of polymer physics such as the self-avoiding walk. His research applies techniques from probability theory to problems in statistical mechanics and nonlinear analysis, addressing issues in the Navier–Stokes equations, reaction–diffusion equations, and the theory of phase transitions. Pelissetto has collaborated with notable scientists including Ettore Vicari, John Cardy, Michael Fisher, Giorgio Parisi, and Massimo D'Elia. He has examined crossover phenomena connecting the Kosterlitz–Thouless transition to conventional critical points and worked on epsilon expansion methods pioneered by Kenneth Wilson and Miguel Ángel Virasoro. His publications discuss finite-size scaling relevant to experiments at facilities such as the CERN and the European Synchrotron Radiation Facility, and mathematical aspects relevant to the Clay Mathematics Institute research agendas.

Awards and honors

Pelissetto's achievements have been recognized by grants and fellowships from agencies including the European Research Council, the Italian National Research Council, and the Istituto Nazionale di Alta Matematica. He has received invitations to speak at the International Congress on Mathematical Physics, the European Congress of Mathematics, and plenary lectures at the Statistical Mechanics Conference series. His awards include national prizes in mathematical physics and fellowships connected to the Simons Foundation and the Alexander von Humboldt Foundation.

Selected publications

Pelissetto has authored influential articles in journals such as Physical Review Letters, Physical Review B, Journal of Statistical Physics, and Communications in Mathematical Physics. Representative publications include collaborative works on renormalization-group expansions with Ettore Vicari, reviews on critical phenomena with applications to the XY model and the Heisenberg model, and rigorous studies of scaling limits for lattice models connected to results by Barry McCoy and Rodney Baxter. His survey articles have been cited in monographs published by Cambridge University Press and Oxford University Press, and by contributors to volumes edited by John Cardy and David Ruelle.

Teaching and mentorship

Pelissetto has supervised doctoral students who later obtained positions at institutions such as the University of Cambridge, the Princeton University, the École Polytechnique, and the University of Chicago. He has taught graduate courses on statistical mechanics and mathematical physics at the Sapienza University of Rome and delivered advanced lectures at summer schools organized by the International Centre for Theoretical Physics and the Les Houches School of Physics. His pedagogical contributions include lecture notes used in programs affiliated with the European Physical Society and curriculum development for interdisciplinary training between the Scuola Normale Superiore and the Gran Sasso Science Institute.

Professional affiliations and service

Pelissetto is a member of the Italian Mathematical Union and the American Physical Society, and has served on editorial boards for journals such as Journal of Statistical Mechanics: Theory and Experiment and Physical Review E. He has organized conferences for the International Association of Mathematical Physics and served on scientific committees for workshops at the European Centre for Theoretical Studies in Nuclear Physics and Related Areas and the Newton Institute. He has reviewed proposals for the European Research Council and participated in advisory panels for the Italian Ministry of Education, Universities and Research and the National Science Foundation.

Category:Italian mathematicians Category:Mathematical physicists