Pablo Miranda Rozas
🎓 Associate Professor · USACH

Pablo
Miranda Rozas

Department of Mathematics and Computer Science,
Universidad de Santiago de Chile.

Mathematical Physics Spectral Theory Magnetic Schrödinger Operators Quantum Resonances Discrete Operators
📨 Contact 📄 CV 📚 Publications
Portrait of Pablo Miranda Rozas

About

Bio

I am an Associate Professor at the Department of Mathematics and Computer Science (DMCC) of the Universidad de Santiago de Chile (USACH). My research lies at the interface of mathematical physics and spectral theory, with a particular focus on magnetic Schrödinger operators, quantum resonances, and spectral properties of discrete operators. I currently serve as Head of the MSc Program at DMCC.

15+
Publications
3
FONDECYT grants (PI)
10+
Years teaching
3
Graduate students

Research

Research lines

Magnetic Schrödinger operators
Distribution of eigenvalues and spectral shift function asymptotics.
Quantum waveguides
Resonances in deformed quantum waveguides.
Discrete operators
Spectral properties of discrete Schrödinger and Dirac operators on lattices.

Funding

Selected projects

  • FONDECYT Regular 1241983 PI · Active
    Spectral properties of continuous and discrete quantum Hamiltonians
    2024 – 2027
  • Visiting Scholar — Université de Bordeaux
    Physique-Mathématique Bordeaux–Santiago program
    February – June 2024
  • FONDECYT Regular 1201857 PI · Completed
    Resonances and spectral shift function for magnetic systems
    2020 – 2023

Research output

Selected publications

Preprints

Published

Full publication list on Google Scholar and ORCID.

Teaching

Courses

  • Introduction to PDEsUndergraduate USACH · 2026
  • Topology and Geometry IGraduate USACH · 2020 & 2023
  • Spectral TheoryGraduate USACH · 2021 & 2023
  • Analysis IGraduate USACH · 2018–2019
  • Differential GeometryUndergraduate USACH · 2022
  • Measure Theory / Functional AnalysisUndergraduate USACH · 2018–2025
  • Calculus I, II & IIIUndergraduate UTFSM & PUC · 2014–2017

Roles

Administration

  • Head of the MSc Program
    Department of Mathematics, USACH · 2022–present
  • Deputy Director of Research
    Department of Mathematics, USACH · 2022–2024
  • Coordinator, Calculus II
    School of Engineering, USACH · 2019–2022

Supervision

Thesis students

  • Cristian Figueroa In progress
    Spectral shift function for discrete Hodge–Dirac operators
  • Bastián Barrera In progress
    Spectral theory of the magnetic Pauli operator
  • Javier Calderón In progress
    Numerical analysis of eigenvalues for magnetic Pauli operators
  • Mariano Ortíz Completed
    Meromorphic continuation and resonances on hyperbolic manifolds
    Thesis PDF

I am open to supervising MSc and PhD theses in spectral theory and mathematical physics. Get in touch if you would like to discuss a project.

Contact

Get in touch

✉️
Email pablo.miranda.r@usach.cl
🏛️
Affiliation Departamento de Matemática y Ciencia de la Computación, Universidad de Santiago de Chile
📍
Address Las Sophoras 173, Estación Central, Santiago, Chile

Profiles

Online profiles

📘 Google Scholar ↗ 🟢 ORCID ↗ 📄 Curriculum Vitae ↗