Mathematics of Computing Research Summer Intern (AI)

TL;DR

Mathematics of Computing Research Summer Intern (AI): Developing new mathematically grounded methods and algorithms in areas like numerical linear algebra, optimization, and AI for algorithmic reasoning with an accent on integrating learning, optimization, and encryption within scalable computational frameworks. Focus on computer programming, software prototyping across classical, distributed, and quantum systems, and validating algorithms on theoretical and practical benchmarks.

Location: Onsite in Yorktown Heights, San Jose, Cambridge, or Albany, United States

Salary: $99,840–$183,040 per year

Company

hirify.global Research is the organic growth engine of hirify.global, inventing what's next in computing and accelerating discovery with partners and clients by combining high-performance computing, AI, and Quantum, all integrated through the hybrid cloud.

What you will do

• Develop new mathematically grounded methods and algorithms in areas such as numerical linear/multi-linear algebra, computational/meta-complexity theory, fully homomorphic encryption, optimization, algorithmic foundations of neural networks, quantum-centric high-performance computing, probability theory, stochastic processes, and AI for algorithmic reasoning.
• Research new mathematical and algorithmic formulations that integrate learning, optimization, and encryption within scalable computational frameworks.
• Implement AI model training, numerical and algebraic solvers, encrypted and quantum-classical computation, and advanced algorithmic techniques for neural and optimization-based architectures.
• Perform computer programming and software prototyping across classical, distributed, and quantum systems.
• Validate developments on theoretical and practical benchmarks.
• Develop and demonstrate working algorithms and systems that advance the frontiers of AI for mathematics, secure computation, and scientific discovery.

Requirements

• Education: Bachelor's Degree required
• Strong knowledge of numerical linear and multi-linear algebra.
• Expertise in complexity theory, particularly as related to meta-complexity and foundation models.
• Familiarity with formal optimization methods.
• Experience with AI for algorithmic reasoning.
• Understanding of quantum-centric high-performance computing.

Nice to have

• Master's Degree.
• Experience with fully homomorphic encryption.
• Knowledge of probability theory and stochastic processes.
• Familiarity with algorithms, particularly as related to neural networks.

Culture & Benefits

• Join a team that invents what's next in computing, choosing big, urgent, and mind-bending work that endures and shapes generations.
• Opportunity to learn and develop yourself and your career, encouraged to be courageous and experiment every day.
• Work in an environment of continuous trust and support where everyone can thrive.
• Contribute to applying intelligence, reason, and science to improve business, society, and the human condition.
• Be part of a company that is an early adopter of artificial intelligence, quantum computing, and blockchain.
• Proud to be an equal-opportunity employer, committed to diversity and inclusion.