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IBM Canada Software Lab - Toronto Logo

Mathematics of Computing Research Summer Intern: 2026

IBM Canada Software Lab - Toronto

Salary not specified
Oct 28, 2025
Yorktown Heights, NY, United States of America
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IBM Research takes responsibility for technology and its role in society. Working in IBM Research means you'll join a team who invent what's next in computing, always choosing the big, urgent and mind-bending work that endures and shapes generations.

Requirements

  • 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
  • Fully homomorphic encryption
  • Probability theory and stochastic processes
  • Algorithms, particularly as related to neural networks

Responsibilities

  • Develop new mathematically grounded methods and algorithms in one or more of the following areas: numerical linear and multi-linear algebra, computational and meta-complexity theory, fully homomorphic encryption, optimization (especially discrete optimization and reinforcement learning based methods), algorithmic foundations of neural networks, quantum-centric high-performance computing, probability theory and stochastic processes, and AI for algorithmic reasoning.
  • The job requires research into new mathematical and algorithmic formulations that integrate learning, optimization, and encryption within scalable computational frameworks
  • implementation including AI model training, development of numerical and algebraic solvers, encrypted and quantum-classical computation, and advanced algorithmic techniques for neural and optimization-based architectures
  • computer programming and software prototyping across classical, distributed, and quantum systems
  • validation on theoretical and practical benchmarks
  • development and demonstration of working algorithms and systems that advance the frontiers of AI for mathematics, secure computation, and scientific discovery.

Other

  • Bachelor's Degree
  • Master's Degree
  • dedication to our clients success, innovation that matters, and trust and personal responsibility in all our relationships
  • learn and develop yourself and your career
  • growth minded, always staying curious, open to feedback and learning new information and skills to constantly transform themselves and our company.