Hongwei Wang

New York University Abu Dhabi · Mathematics + AI

Hongwei (Alex) Wang

MSc Student in Interdisciplinary Data Science and Artificial Intelligence

Mathematical Foundations of Trustworthy Artificial Intelligence

I work at the intersection of type theory, higher category theory, formalized mathematics, and artificial intelligence, with particular interest in reliable machine reasoning and semantic faithfulness.

A research question in formal reasoning
  1. 01 Meaning Mathematical intent
  2. 02 Formalization Type-theoretic representation
  3. 03 Verification Machine-checked reasoning

Formal correctness is essential; semantic faithfulness remains the central question.

About

A mathematical approach to reliable reasoning

I am a master's student at New York University Abu Dhabi, with an academic background in pure mathematics. I am particularly interested in how mathematical structures can provide foundations for reliable machine reasoning, and how the meaning of mathematical statements can be preserved when translated between natural language and formal systems.

Proof assistants can mechanically verify formal derivations, but a further question remains: does a formally verified statement faithfully represent the mathematical statement originally intended? This distinction between formal correctness and semantic faithfulness motivates much of my current work.

Research interests

Three connected directions

Research overview

Current research

Meaning, representation, and machine-verifiable reasoning

Research directions

I am currently exploring the relationship between mathematical meaning, formal representation, and machine-verifiable reasoning.

  • Developing and studying formal representations of mathematical reasoning.
  • Investigating semantic faithfulness in AI-assisted mathematical formalization.
  • Exploring type-theoretic and homotopy-theoretic approaches to formalized mathematics.
  • Applying formal verification techniques to the reliability of AI reasoning systems.

Featured research

All projects

Recent news

Academic activity

  1. Delivered the talk When Proof No Longer Means Understanding at New York University Abu Dhabi.

  2. Began MSc studies in Interdisciplinary Data Science and Artificial Intelligence at New York University Abu Dhabi.

Contact

Academic links