Carlos Román Assistant Professor of Mathematics

Research interests: My research interests lie primarily in the calculus of variations, partial differential equations, mathematical physics, and geometric analysis.
Email: carlos.roman (at) uc.cl


Publications in Refereed Journals

  1. (with T. Ried) Domain branching in micromagnetism: scaling law for the global and local energies, Accepted for publication in Rev. Mat. Iberoam.
    2. [pdf file]
  2. (with E. Sandier and S. Serfaty) Bounded vorticity for the 3D Ginzburg-Landau model and an isoflux problem, Proc. Lond. Math. Soc. (3) 126 (2023), no. 3, 1015−1062.
    3. [pdf file, journal version]
  3. (with D. Bonheure and J.-B. Casteras) Unbounded mass radial solutions for the Keller-Segel equation in the disk, Calc. Var. Partial Differential Equations 60 (2021), no. 5.
    4. [pdf file, journal version]
  4. On the first critical field in the three dimensional Ginzburg-Landau model of superconductivity, Comm. Math. Phys. 367 (2019), no. 1, 317−349.
    5. [pdf file, journal version]
  5. Three dimensional vortex approximation construction and ε-level estimates for the Ginzburg-Landau functional, Arch. Ration. Mech. Anal. 231 (2019), no. 3, 1531−1614.
    6. [pdf file, journal version]
  6. (with M. del Pino, M. Musso, and J. Wei) Interior bubbling solutions for the critical Lin-Ni-Takagi problem in dimension 3, J. Anal. Math. 137 (2019), no. 2, 813−843.
    7. [pdf file, journal version]
  7. (with A. Pistoia) Large conformal metrics with prescribed scalar curvature, J. Differential Equations 263 (2017), no. 9, 5902−5938.
    8. [pdf file, journal version]
  8. (with M. del Pino) Large conformal metrics with prescribed sign-changing Gauss curvature, Calc. Var. Partial Differential Equations 54 (2015), no. 1, 763−789.
    9. [pdf file, journal version]

Preprints

  1. (with P. Bella) Wrinkling of an elastic sheet floating on a liquid sphere.
    2. [pdf file]
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