Research Engineer, Formal Methods

About Us

Harmonic is a startup building the world’s most advanced mathematical reasoning engine, recently achieving Gold Medal-level performance on the 2025 International Math Olympiad (IMO). Backed by some of the world’s most prominent investors, we are intentionally scaling our world-class technical team.

We are seeking a highly motivated and skilled Research Engineer to join our AI & Formal Methods team. The initial focus of this position will be on advancing mathematical theorem proving using cutting-edge AI techniques. The successful candidate will play a key role in developing new algorithms and models that integrate AI with formal methods to solve complex problems in theorem proving and beyond.

Key Responsibilities

• Conduct research in formal methods for mathematical theorem proving

• Apply formal verification techniques using Lean or similar frameworks to formally verify safety critical systems

• Develop and implement algorithms and techniques to improve the efficiency and effectiveness of formal methods for AI systems

Minimum Qualifications

• BS or MS in Computer Science, Mathematics, a related technical field, or equivalent industry experience

• Basic proficiency in python

• Proficiency and practical experience with at least one proof assistant (e.g., Lean, Coq, Isabelle, Agda) and a strong foundation in formal methods and mathematical logic 

• Experience driving highly technical research projects from early concept to delivery

Preferred Qualifications

• Expert level knowledge of Lean4

• PhD in Computer Science, Mathematics, or related technical field

• Experience verifying programs in safety critical fields such as; aerospace/defense, automotive, medical, cryptography, etc

• Proven track record of high-quality research demonstrated by publications, patents, or software contributions

• Contributions to open-source projects or development of software tools in the field

What We Offer

• Unlimited PTO

• 401(k) matching

• 100% employer-paid health, vision, and dental benefits for employees and 50% coverage for dependents. Harmonic offers varied health coverage options to select what is best for you and your family.

• Health Savings Account (HSA) available for qualifying health plans

Learn more about what we are working on!

Is Math the Path to Chatbots That Don't Make Stuff Up?

Training Data Podcast: Why Vlad Tenev and Tudor Achim of Harmonic Think AI Is About to Change Math—and Why It Matters

We are an equal opportunity employer and do not discriminate on the basis of race, religion, national origin, gender, sexual orientation, age, veteran status, disability or any other legally protected status.