Sakellaris Georgios

Assistant Professor

Office: Main Building of Faculty of Sciences, 3rd Floor, Room 15

Office Hours: @-schedule

Phone Number: +302310998095

Email: gsakell@math.auth.gr Website: Personal Website

Studies

  • Ph.D. in Mathematics, The University of Chicago, 2017
    • Doctoral Thesis Subject: Partial differential equations
    • Doctoral Thesis Title: Boundary Value Problems in Lipschitz Domains for Equations with Drifts
    • Supervisor: Prof. Carlos Kenig
  • M.Sc. in Mathematics, The University of Chicago, 2013
  • B.Sc. in Mathematics,  Ethnikon & Kapodistriakon Panepistimion Athinon, Athens, 2011

Professional Experience

  • Assistant Professor, Aristotle University of Thessaloniki, June 2022 – Today
  • Post Doctoral, Institut de Matemàtica, Universitat de Barcelona, February 2021 – March 2021
  • Post Doctoral, Departament de Matemàtiques, Universitat Autònoma de Barcelona, P-Sphere Marie Curie fellow, 2017 – 2020

Research Interests

  • Partial differential equations

Selected Publications

  • Sakellaris, G. (2021). Scale invariant regularity estimates for second order elliptic equations with lower order coefficients in optimal spaces. Journal de Mathématiques Pures et Appliquées156, 179-214.
  • Engelstein, M., Kauranen, A., Prats, M., Sakellaris, G. and Sire, Y. (2021). Minimizers for the Thin One‐Phase Free Boundary Problem. Communications on Pure and Applied Mathematics74 (9), 1971-2022.
  • Sakellaris, G. (2021). On scale-invariant bounds for the Green’s function for second-order elliptic equations with lower-order coefficients and applications. Analysis & PDE14 (1), 251-299.
  • Sakellaris, G. (2019). Boundary value problems in Lipschitz domains for equations with lower order coefficients. Transactions of the American Mathematical Society372 (8), 5947-5989.
  • Kim, S. and Sakellaris, G. (2019). Green’s function for second order elliptic equations with singular lower order coefficients. Communications in Partial Differential Equations44 (3), 228-270.