Refine research page into publication-aligned research subsections

[Copilot]

PR Summary

Refreshes the Research page so the subsection structure matches the PI's current publication themes and the site's existing positioning. Scope is limited to content in 5-research.md; the page layout and navigation remain unchanged.

• Motivation:
  • The Research page was too generic and did not clearly break down the group's work into durable, publication-backed areas.
• Main changes:
  • Overview
    • Rewrote the page intro to anchor the lab's work around recurring themes in the publication record: optimization, process systems engineering, quantum methods, AI, and open software.
  • Research subsections
    • Reframed the existing spotlight sections into clearer topical areas:
      • Mathematical Optimization, GDP, and MINLP
      • Process Systems Engineering and Sustainable Operations
      • Quantum Optimization, Simulation, and Benchmarking
      • Federated Learning and AI for Engineering and Healthcare
      • Open-Source Software, Libraries, and Reproducibility
  • Page metadata
    • Updated the page description to reflect the new subsection-oriented structure.
• Related issues (if any):
  • Research page subsection update requested in the issue.

Preview Artifact

This PR triggers the Preview Build workflow.

• Download the preview-site artifact from the workflow run to inspect the generated site.

• To view locally: Extract the artifact and serve it with a local web server:

  # Extract the zip file, then run one of:
  python3 -m http.server 8000
  # or
  npx serve
  # or
  php -S localhost:8000

  Then browse to http://localhost:8000

• Note: Opening HTML files directly (file://) won't work correctly due to absolute paths.

• Internal and external link check logs are in the preview-link-check-logs artifact.

• Link checks are non-blocking; fix issues where practical before merge.

Image & Asset Guidelines

Only WebP images should be referenced in the site; originals (PNG/JPG/etc.) may be stored for provenance.

1. Always reference the .webp version in Markdown/HTML.

2. Originals can live alongside WebP conversions but must NOT be used directly in content.

3. Prefer descriptive, kebab-case filenames (e.g., joao-victor-paim.webp).

4. If adding a new image, convert to WebP first. Example conversion commands:

   # Using cwebp
   cwebp input.jpg -q 80 -o output.webp
   
   # Using ImageMagick
   magick input.png -quality 80 output.webp

5. Run the existing resize helper if appropriate:

   ./resize_images.sh

   (Ensure the script suits the new image before relying on it.)

Checks Before Requesting Review

• Jekyll preview build succeeds locally (bundle exec jekyll build).
• All referenced images are WebP (originals not directly referenced).
• All member/profile links verified.
• External links added are valid (ignore transient 429/timeout warnings unless persistent).
• No large binary files (>5MB) added without justification.

Follow-up / Deployment Notes

• No post-merge follow-up expected beyond normal preview/CI review.

Screenshots (If UI/Content Changes)

• Updated research page:
  

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Maintainers: Ensure branch protection requires only CI + Preview jobs, not production Pages deployment for PRs.

Warning

Firewall rules blocked me from connecting to one or more addresses (expand for details)

I tried to connect to the following addresses, but was blocked by firewall rules:

• scholar.google.com
  • Triggering command: /home/REDACTED/work/_temp/ghcca-node/node/bin/node /home/REDACTED/work/_temp/ghcca-node/node/bin/node --enable-source-maps /home/REDACTED/work/_temp/copilot-developer-action-main/dist/index.js (dns block)

If you need me to access, download, or install something from one of these locations, you can either:

• Configure Actions setup steps to set up my environment, which run before the firewall is enabled
• Add the appropriate URLs or hosts to the custom allowlist in this repository's Copilot coding agent settings (admins only)

Original prompt

---

This section details on the original issue you should resolve

<issue_title>Update research page with subsections</issue_title>
<issue_description></issue_description>

<agent_instructions>Check the online the publications published by the PI https://scholar.google.com/citations?user=8s6SR7YAAAAJ&hl=en and using the information already available in the website and in the publication record create these research subsection</agent_instructions>

Comments on the Issue (you are @copilot in this section)

• Fixes Update research page with subsections #22

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