Pierre-François Rodriguez

Pierre-François Rodriguez

Department of Mathematics, Imperial College London
South Kensington Campus
London SW7 2AZ
United Kingdom

email: p.rodriguez@imperial.ac.uk
office: 656, Huxley Building

Welcome to my homepage.

I am currently Lecturer (Assistant Professor) in Pure Mathematics at the Department of Mathematics of Imperial College London.

My main research interests are probability theory and mathematical physics, with a special focus on problems concerning phase transitions and random media.


Seminars:

To see the programme of our stochastic analysis seminar, click
here.

I am also co-organizing the
London analysis and probability seminar.


PhD Students:

Current: Yuriy Shulzhenko

Former: Alexis Prévost (joint with A. Drewitz)


  • Publications
  • Vita
  • Research
  • Talks
  • Teaching
  • An isomorphism theorem for Ginzburg-Landau interface models and scaling limits
    J.-D. Deuschel and P.-F. Rodriguez.
    Preprint, 38 pages (2022).
  • The Discrete Gaussian model, II. Infinite-volume scaling limit at high temperature
    R. Bauerschmidt, J. Park and P.-F. Rodriguez.
    Preprint, 34 pages (2022).
  • The Discrete Gaussian model, I. Renormalisation group flow at high temperature
    R. Bauerschmidt, J. Park and P.-F. Rodriguez.
    Preprint, 93 pages (2022).
  • Existence of an unbounded nodal hypersurface for smooth Gaussian fields in dimension \(d\geqslant3\)
    H. Duminil-Copin, A. Rivera, P.-F. Rodriguez and H. Vanneuville.
    Ann. Probab. (to appear), 56 pages (2021).
  • Critical exponents for a percolation model on transient graphs
    A. Drewitz, A. Prévost and P.-F. Rodriguez.
    Invent. Math., DOI 10.1007/s00222-022-01168-z (2022).
  • Cluster capacity functionals and isomorphism theorems for Gaussian free fields
    A. Drewitz, A. Prévost and P.-F. Rodriguez.
    Probab. Theory Rel. Fields 183, 255-313 (2022).
  • On the radius of Gaussian free field excursion clusters.
    S. Goswami, P.-F. Rodriguez and F. Severo.
    Ann. Probab. 50 (5), 1675-1724 (2022).
  • Equality of critical parameters for percolation of Gaussian free field level-sets
    H. Duminil-Copin, S. Goswami, P.-F. Rodriguez and F. Severo.
    Duke Math. J. (to appear), 54 pages (2020).
  • Geometry of Gaussian free field sign clusters and random interlacements
    A. Drewitz, A. Prévost and P.-F. Rodriguez.
    Preprint, 78 pages (2018).
  • The sign clusters of the massless free field percolate on \(\mathbb{Z}^d\), \(d\geqslant3\) (and more)
    A. Drewitz, A. Prévost and P.-F. Rodriguez.
    Commun. Math. Phys. 362 (2), 513-546 (2018).
  • On pinned fields, interlacements, and random walk on \((\mathbb{Z}/N\mathbb{Z})^2\)
    P.-F. Rodriguez.
    Probab. Theory Rel. Fields, 173, pp. 1265-1299 (2019).
  • Limit theory for random walks in degenerate time-dependent random environments
    M. Biskup and P.-F. Rodriguez.
    J. Funct. Anal., 274 (4), pp. 985-1046 (2018).
  • Decoupling inequalities for the Ginzburg-Landau \(\nabla \phi\) models
    P.-F. Rodriguez.
    Preprint, submitted, 34 pages (2016).
  • On cluster properties of classical ferromagnets in an external magnetic field
    J. Fröhlich and P.-F. Rodriguez.
    J. Stat. Phys. 166 (3-4), pp. 828-840 (Special issue on the occasion of David Ruelle's and Yakov Sinai's 80'th birthdays), (2017).
  • A 0-1 law for the massive Gaussian free field
    P.-F. Rodriguez.
    Probab. Theory Rel. Fields, 169 (3-4), pp. 901-930 (2016).
  • High-dimensional asymptotics for percolation of Gaussian free field level sets
    A. Drewitz and P.-F.Rodriguez.
    Electron. J. Probab. 20 (47), pp. 1-39 (2015).
  • Level set percolation for random interlacements and the Gaussian free field
    P.-F. Rodriguez.
    Stoch. Proc. Appl. 124 (4), pp. 1469-1502 (2014).
  • Phase transition and level set percolation for the Gaussian free field
    P.-F. Rodriguez and A.-S. Sznitman.
    Commun. Math. Phys. 320 (2), pp. 571-601 (2013).
  • Some applications of the Lee-Yang theorem
    J. Fröhlich and P.-F. Rodriguez.
    J. Math. Phys. 53, 095218, pp. 1-15 (2012).
  • Short bio
    Before joining Imperial, I was working at IHÉS (Sept. 2018 to Feb. 2020), where my research was supported by the ERC Grant CriBLaM of Hugo Duminil-Copin. Prior to IHÉS, I held a position as E.R. Hedrick Assistant Professor at the Department of Mathematics, UCLA. My host was Marek Biskup.

    I received a Ph.D. in Mathematics from ETH Zurich, under the guidance of Alain-Sol Sznitman.

    I have French and Spanish origins. I grew up mostly in Germany.

    A more detailed CV is available here.
  • Below are the recordings of two talks I gave at the Institute for Advanced Study about my work with Alexander Drewitz and Alexis Prévost. The corresponding article is available here.
  • Percolation of sign clusters for the Gaussian free field I

  • Percolation of sign clusters for the Gaussian free field II
  • MATH 50006 Lebesgue Measure and Integration All information/content related to this module will be made available through Blackboard. Lecture notes are also available here: Chapter 1, Chapter 2, Chapter 3, Chapter 4 (this version: 14/03/2021).
  • MATH 275 C - Spring 2017 The probabilistic construction of continuous-time Markov chains.
    Related documents
    Syllabus Homework 1 Homework 2 Homework 3