Application Guide

How to Apply for Summer Research Associate 2026

at Topos Institute

🏢 About Topos Institute

Topos Institute is a unique non-profit research institute that applies cutting-edge mathematics, particularly category theory, to develop computational tools for public benefit. Unlike typical tech companies, they focus on shaping how information flows through complex systems to create technology that benefits society as a whole, making it ideal for those passionate about mathematical applications with real-world impact.

About This Role

As a Summer Research Associate, you'll spend 8-10 weeks in Berkeley applying emerging mathematics to create communications within and between complex systems under expert mentorship. You'll collaborate in a multidisciplinary environment with mathematicians, computer scientists, and domain scientists on research or engineering projects that directly support Topos's mission of developing tools for public benefit.

💡 A Day in the Life

A typical day might involve morning collaborative sessions with your mentor and interdisciplinary team, working on mathematical models or computational implementations related to complex systems communications, followed by independent research or coding time, and ending with group discussions about applying findings to real-world problems. You'll balance theoretical work with practical applications while engaging with experts across mathematics, computer science, and domain sciences.

🎯 Who Topos Institute Is Looking For

  • Strong mathematical background with interest or experience in category theory, applied mathematics, or theoretical computer science
  • Demonstrated ability to work in multidisciplinary teams with mathematicians, computer scientists, and domain experts
  • Clear alignment with Topos's mission of using mathematics for public benefit and social impact
  • For research track: experience with mathematical research and abstract thinking; for engineering track: practical implementation skills and computational tool development

📝 Tips for Applying to Topos Institute

1

Explicitly mention which track (research or engineering) you're applying for and tailor your application materials accordingly

2

Demonstrate specific knowledge of category theory or related mathematical concepts in your application, not just general math interest

3

Connect your background to Topos's mission of 'shaping technology for public benefit' with concrete examples

4

Highlight any experience working in interdisciplinary research environments or collaborative academic settings

5

Submit well before the January 16, 2026 deadline since they aim to make offers by mid-February

✉️ What to Emphasize in Your Cover Letter

["Your specific interest in category theory or applied mathematics and how it relates to Topos's work", 'Examples of collaborative or interdisciplinary work experience in research or academic settings', 'How your background aligns with either the research track (abstract thinking, theoretical work) or engineering track (implementation, tool development)', "Your understanding of and commitment to Topos's mission of using mathematics for public benefit"]

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🔍 Research Before Applying

To stand out, make sure you've researched:

  • Explore Topos Institute's published research papers and projects on their website to understand their specific mathematical approaches
  • Research their staff members' backgrounds and publications to identify potential mentors and their research interests
  • Understand the distinction between their research track and engineering track by examining past summer projects or publications
  • Learn about their non-profit structure and how it differs from academic or corporate research environments

💬 Prepare for These Interview Topics

Based on this role, you may be asked about:

1 Your experience with category theory or related mathematical concepts and how you've applied them
2 How you approach working in multidisciplinary teams with experts from different fields
3 Your understanding of complex systems and communications between them
4 Specific examples of projects where you've applied mathematical thinking to practical problems
5 Why you're drawn to Topos's mission of using mathematics for public benefit rather than commercial applications
Practice Interview Questions →

⚠️ Common Mistakes to Avoid

  • Applying without specifying which track (research or engineering) you're interested in or why
  • Focusing only on technical skills without connecting them to Topos's mission of public benefit
  • Treating this as a generic summer internship rather than a specialized research position requiring specific mathematical background

📅 Application Timeline

This position is open until filled. However, we recommend applying as soon as possible as roles at mission-driven organizations tend to fill quickly.

Typical hiring timeline:

1

Application Review

1-2 weeks

2

Initial Screening

Phone call or written assessment

3

Interviews

1-2 rounds, usually virtual

Offer

Congratulations!

Ready to Apply?

Good luck with your application to Topos Institute!