Research Projects

Exploring the cutting-edge of formal mathematics and quantum computation.

λ

Lambda Calculus Foundations

Developing novel reduction techniques for formal verification of functional programming constructs.

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Ω

Quantum Oracles

Researching quantum oracle constructions for mathematical proof verification algorithms.

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Σ

Dependent Type Systems

Building new type constructors for secure cryptographic protocol implementations.

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Formal Verification

Using Coq and Lean for mathematical proofs in quantum computing domains.

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Lambda Compiler

Designing compiler optimizations for higher-order type systems in λ-simulations.

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Quantum θ

Bridging theoretical mathematics with quantum algorithm design through new mathematical abstractions.

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