Literature, models and problem framing
Keep search queries, source locations and disagreements; state which full texts were actually read.
Mathematics & physics
Connect model assumptions and derivations with small numerical computations, error checks and research writing.
Start with a focused task
Assumptions, notation and dimensions
State the question, assumptions, design and comparison conditions; flag choices needing researcher review.
Equations, data and boundary conditions
Check variables, units, missing values, duplicates and provenance; record changes without silent imputation or deletion.
Small numerical computations
Check material and method suitability first; execute required calculations and deliver code, results and limitations.
Error, convergence and limiting cases
Use independent checks, alternative explanations or applicable sensitivity checks; report failure conditions and unresolved issues.
Functions, phase plots and visualization
Create figures and tables from checked results with units, captions and sources; retain reusable code.
Derivation notes and manuscript writing
Draft from actual materials and results, check numbers and citations, and identify drafts and unknowns.
Proof-strategy review and seminars
Deliver issue lists, point-by-point responses or presentation material; distinguish corrections, missing evidence and unresolved issues.
Current scope
Small exploratory computations depend on available resources and require error and assumption checks. They are not formal proofs, large simulations or validated physical laws.
Research examples
Browse research outputs and find a starting point for your task.