We've taken a fresh approach to mapping the mathematician's toolkit, focusing on skills rather than knowledge. Why? Because skills are your true superpower. They offer unparalleled versatility, opening doors to a wider array of career options and problem-solving opportunities. More importantly, they're your ticket to future-proofing your career, allowing you to adapt and thrive as technologies and industries evolve.

Our map is the result of a dual approach:

• First-principles thinking: We've identified the foundational skills that enable the acquisition and transfer of complex mathematical knowledge. These same skills, we posit, will empower you to achieve even more outside academia.
• Industry-driven research: We've reverse-engineered the demands of various industries to pinpoint the skills that resonate most with real-world problem-solving.

This combination bridges the gap between academic ability and industry needs, easing your transition from a knowledge-centric environment to one where adaptability is paramount.

It's crucial to note that mathematicians often overlook these underlying skills. But in an era where AI and advanced technologies are increasingly capable of handling complex computations (and more), your unique human skills — like wrangling problems into tractability, discerning first principles, and distilling clarity from chaos — become your most prized assets.

Explore our Mathematical Skill Stack and uncover the true breadth of your capabilities. Your mathematical background has equipped you with more than just formulas and proofs—it's given you a powerful set of tools to shape the future of technology.

Our skill stack is organized into three primary categories, each corresponding to a fundamental component of the mathematical journey: teaching, studying, and researching. Within each category, skills are further grouped by their inherent nature, offering a nuanced view of the capabilities developed through advanced mathematical pursuits.

At its core, deep tech is about the novel application of fundamental advances in science, mathematics, and engineering. It's the bridge between the theoretical and the practical — where the formulae that describe the fabric of our universe become the blueprints for technologies that change our lives. This is where your years of rigorous study can find immense purpose and impact.

What sets deep tech apart is the magnitude of the problems it tackles. We're not talking about incremental improvements or flashy interfaces. Deep tech ventures into territories where problems have persisted for decades, even centuries. It's about leveraging interdisciplinary science to crack the code on challenges that have long eluded solution. And when these solutions emerge, their impact is profound — often revolutionizing entire industries.

Our ecosystem map is designed to inspire, to open your eyes to possibilities you might never have considered. As you explore, you'll find technologies that are not just impressive, but truly awe-inspiring. From quantum computing to biotechnology, from renewable energy to space exploration, each sector represents a frontier where mathematical minds are needed to solve the previously unsolvable.

While we've organized this vast landscape into navigable categories and sectors, the reality is far more interconnected. In the world of deep tech, breakthroughs rarely conform to silos. Instead, they emerge from the dynamic interplay between multiple technologies, industries, and fields of study.

The future of technology — and humanity — is waiting for minds like yours to shape it. Welcome to the deep tech ecosystem, where your mathematical aptitude can truly change the world.

As a mathematician, you've likely heard the refrain that you can do "anything" with your degree. Yet, the reality in academic environments often falls short, presenting a limited view of career options that can feel restrictive and sometimes discouraging, especially for those less inclined towards traditional paths.

That's where we come in. We've conducted an extensive exploration of the deep tech landscape, meticulously researching how innovative companies are structured and the diverse roles they require across a multitude of industries. Our mission? To uncover career tracks that align strongly with the mathematical skill set.

The result is eye-opening: we've identified over 50 career tracks that are accessible regardless of your degree level, skill set, or technical expertise. From recent graduates to seasoned professionals, from those with a bachelor's to those with a PhD, there's a fitting track for every mathematician ready to make their mark in deep tech.

A key insight from our research is that focusing on transferable skills often opens more doors than searching for roles that directly apply complex mathematical concepts. While your knowledge of topology or linear algebra is valuable, it's your problem-solving ability, analytical thinking, and ability to navigate abstract concepts that truly set you apart in the deep tech world.

Why did we create this resource? Because we've witnessed firsthand the brilliance of mathematicians and believe the world needs more of it. We envision mathematicians at the forefront of innovation, managing groundbreaking projects, leading companies, and applying their unique skill set to some of the most complex technological challenges our species has ever faced.

This collection is not simply a list: we intend for it to serve as a bridge between your mathematical expertise and the intriguing world of deep tech. It's designed to expand your horizons, challenge preconceptions about what mathematicians typically do, and illuminate paths you might never have considered.