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salihcankurnaz/README.md

Salih Can Kurnaz

Research-oriented software developer working across computational mathematics, AI systems, GPU computing, formal methods, and reproducible scientific software.

My public repositories are primarily research prototypes and experimental systems. I try to keep claims narrow, preserve machine-readable evidence where practical, and separate exploratory results from publication-grade conclusions.

Flagship research

Computer-assisted graph-invariant research centered on exact finite-order classification and reconstruction-style questions. The current public evidence line studies aligned vertex-deleted invariant families on the complete order-10 graph catalog, with explicit claim boundaries and reproducibility artifacts.

Experimental GPU acceleration for a selected Lean/CIC-style type-checking fragment. The project is scoped as systems research rather than a replacement for the Lean kernel, and keeps correctness checks and benchmark evidence alongside performance work.

Experiments in lowering a supported Python subset into tensor-oriented execution paths, with correctness checks and raw benchmark evidence.

AI systems and model research

  • ToposAI — experimental neuro-symbolic research library combining finite categorical/topos-inspired structure with PyTorch components.
  • paradigm-stack — parameter-matched architecture experiments with repeated-seed benchmark evidence.
  • algebraic-pruning — structured pruning experiments with explicit evaluation scope and retained evidence.
  • cr-molecular-fingerprint — exploratory molecular representation research; results should be read with the repository's stated baseline and leakage limitations.

Formal methods and research tooling

  • coherence-lab — certificate-producing normalization and equivalence experiments for selected categorical coherence fragments.
  • proof-perf-lab — performance experiments paired with explicit correctness checks and reproducible reporting.
  • contextdiet — tooling for auditing coding-agent context such as AGENTS.md, CLAUDE.md, skills, and MCP configuration.
  • universal-ai-dev-assistant — experimental developer-assistant platform and integration workspace.

GPU and performance experiments

  • gpu-assembly-index — GPU-oriented assembly/indexing research with documented provenance.
  • gpu-shap — experimental GPU attribution tooling with an intentionally limited scope.

Research standards

  • Scope before headlines. Finite experiments, prototypes, and restricted fragments should be described as such.
  • Claims need provenance. Important results should identify code, data, configuration, environment, and evidence artifacts.
  • Optimization needs correctness. Performance results are useful only when the compared behavior is checked.
  • Negative results are part of the record. Failed hypotheses, counterexamples, and corrected claims should remain visible.
  • Reproducibility beats promotional numbers. Raw or machine-readable evidence is preferred over isolated benchmark claims.

Current focus

  • exact finite computational mathematics and graph invariants
  • GPU-accelerated formal and symbolic computation
  • efficient AI inference and model-system experiments
  • reproducible benchmark design and scientific software
  • research automation with explicit evidence and claim boundaries

Some repositories are historical experiments, snapshots, or archived research branches. The projects listed above are the clearest public entry points into the current portfolio.

Popular repositories Loading

  1. cuda-cic cuda-cic Public

    Experimental CUDA batch evaluation/type-checking for a selected Lean/CIC fragment.

    Python 5

  2. universal-ai-dev-assistant universal-ai-dev-assistant Public

    Alpha multi-provider AI developer-assistant systems prototype.

    Rust 3 1

  3. OpenHands OpenHands Public archive

    Forked from OpenHands/OpenHands

    🙌 OpenHands: Code Less, Make More

    Python 1

  4. il-protection-hook il-protection-hook Public

    Experimental Uniswap v4 dynamic-fee research hook; unaudited and not production LP protection.

    JavaScript 1

  5. algebraic-pruning algebraic-pruning Public

    Experimental spectral/W2 diagnostics for structured neural-network pruning studies.

    Python 1

  6. counting-revolution counting-revolution Public

    Exact finite computational research on counting-based algebraic and graph invariants.

    Python 1