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Americas, United States, Yorktown Heights

Posted 102 days ago

Mathematics of Computing Research Summer Intern: 2026 - 69568 - IBM

🏢 IBM

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Role Type

🧪 Scientist / Researcher

Role Focus

🛠️ Advance Science

Seniority

🌱 Internship / Entry-Level

Employer Type

🏢 Industry

This internship focuses on developing new, mathematically sound methods and algorithms across various advanced computing areas like quantum-centric high-performance computing, optimization, and AI. The role involves conducting research into new formulations that combine learning, optimization, and encryption within scalable frameworks. Key activities include implementing solutions such as AI model training, developing solvers, and prototyping software for classical, distributed, and quantum computing systems. The primary goal is to advance AI, secure computation, and scientific discovery through working algorithms and systems.

Key Responsibilities

Develop new mathematically grounded methods and algorithms in areas such as optimization, quantum-centric high-performance computing, and AI.

Conduct research into new mathematical and algorithmic formulations that integrate learning, optimization, and encryption.

Implement solutions, including AI model training and developing numerical and algebraic solvers.

Perform computer programming and software prototyping for classical, distributed, and quantum systems.

Validate developed algorithms and systems using theoretical and practical benchmarks.

Develop and demonstrate working algorithms and systems that advance secure computation and scientific discovery.

Required Skills

Numerical linear and multi-linear algebra

Complexity theory, particularly as related to meta-complexity and foundation models

Knowledge of formal optimization methods

AI for algorithmic reasoning

Quantum-centric high-performance computing

Nice-to-have Skills

Fully homomorphic encryption

Probability theory and stochastic processes

Algorithms related to neural networks

Technology Tags

Algorithms

The primary goal of the role is to develop new mathematically grounded methods and algorithms.

Optimisation

The job requires expertise and research into formal optimization methods, especially discrete optimization.

Complexity theory

The job explicitly requires expertise in computational and meta-complexity theory.

Linear algebra

The role requires expertise in numerical linear and multi-linear algebra.

ML approaches

The work focuses heavily on AI for algorithmic reasoning, neural networks, and reinforcement learning methods.

Quantum Computing

The role specifically involves research into quantum-centric high-performance computing and quantum-classical computation.

Hybrid algorithms

The implementations integrate encrypted and quantum-classical computation requiring hybrid algorithmic formulations.