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ro-smtz/README.md

Rodrigo Sánchez Martínez

PhD candidate in Physics · Advanced Nanophotonics Laboratory · Instituto de Física, UNAM

I work on the optical properties of nanostructures and strong light–matter interaction at the Advanced Nanophotonics Laboratory, where my doctoral research focuses on polaritonic lasers in microresonators — systems where photons and excitons hybridize into new quasiparticles with engineered dispersion relations. My broader research background spans theoretical mechanics, quantum chemistry, and computational physics.


Research

Doctoral thesisPolaritonic lasers in microresonators
Advisor: Dr. Giuseppe Pirruccio · Instituto de Física, UNAM (2024–present)

Topics of interest

  • Strong light–matter coupling and polariton physics
  • Optical characterization of nanostructures (Fourier microscopy, angle-resolved spectroscopy, Raman)
  • Thin-film fabrication: quantum dot synthesis, spin/dip coating, plasmonic crystals
  • Computational physics: Schrödinger equation (PDE/ODE solvers, diagonalization), quantum many-body methods

Current projects

  • Polaritonic lasers in plasmonic microresonators
    Experimental and theoretical investigation of exciton–photon coupling in semiconductor nanostructures.

  • Computational tools for nanophotonics
    Numerical modeling of optical modes, dispersion relations, and quantum systems.

  • Ars Mathematica
    Open educational platform for mathematics, physics, and scientific visualization.

Selected publications

Year Title Journal
2025 Protecting intercavity polaritons in strongly coupled cavities Phys. Rev. Applied 24, 034078
2024 A new visual approach to pendulum period determination arXiv preprint
2020 Confined free motion under a dipole potential Rev. Mex. Fís. E 17 (2)
2020 A geodesic approach for the harmonic oscillator Rev. Mex. Fís. E 17 (1)

Tools & skills

Scientific computing   Python (NumPy, SciPy, matplotlib) · MATLAB · Mathematica
Typesetting            LaTeX · TikZ · PGFPlots
Lab techniques         Fourier & real-space microscopy · UV-Vis spectrophotometry
                       Raman spectroscopy · thin-film deposition
Languages              Spanish (native) · English (advanced) · Italian (advanced)

Scientific communication

I founded Ars Mathematica in 2019 — a science communication project dedicated to the visual representation of physics, mathematics, and chemistry using LaTeX, TikZ, and PGFPlots. The project has grown to 70 K+ followers on Instagram and includes an educational website with courses, figure galleries, and tutorials.

Ars sine scientia nihil est.


Repositories

Repo Description
ars-mathematica Source for the Ars Mathematica educational website (Astro v6)
(more coming) Research code, LaTeX templates, and paper supplements

Contact

For research inquiries, collaborations, or educational initiatives, feel free to reach out.

Pinned Loading

  1. research research Public

    Research code, LaTeX templates, and paper supplements from my work in ultrafast optics and strong light–matter interaction

    TeX

  2. ars-mathematica-content ars-mathematica-content Public

    This repository is the content library behind the Ars Mathematica project — a collection of TikZ and PGFPlots source files, LaTeX templates, figure code, and reading resources.

    TeX 75 2