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Notes for my HDR thesis

Technical info

All infos available here.

Manuscript

Requirements

  1. Extended CV: CV, publication list, teaching stuff, grants, ...
  2. Research summary: ~10 pages
  3. Research project: ~10 pages
  4. Selected publications: 5 "most representative publications

Research summary

Plan 1: Crypto ← Isogeny graphs → finite fields

  • Explain the "local point of view" given by the action of π on E[ℓ]. Link to point counting and other applications.

  • Explain how to "climb to the global view" by looking at the action of π on T_ℓ. Link to ANTS paper. → Justification for towers of finite fields. → Isogeny graphs and crypto.