Math

Biotech
Spacetech
Edtech
Compute
Robotics
Manufacturing
Logistics
Deep Tech

Research and resources at the intersection of mathematics and transformative technology

Explore Our Resources
A robotic arm with glowing green lights and intricate mechanical details is extended against a dark background, showcasing its articulated fingers and advanced technology.
robotics x control theory
A digitally created image of glowing green DNA strands. The strands are intertwined, with bright points of light accentuating the structure. The background is dark, highlighting the vibrant green colors of the DNA.
genomics x network theory
A 3D printer creates a glowing green, abstract coral-like structure, illuminated by soft lighting. The printers metal frame is visible, with wires and components surrounding the intricate object being printed.
additive manufacturing x graph theory
A digital artwork depicting dynamic green lines and dots forming wave-like patterns against a black background, creating an abstract and futuristic effect, suggestive of quantum processes.
quantum computing x algebraic topology
/math x deep tech

Mathematical Breadth Powers Technological Depth

Deep Tech transcends traditional tech sectors, fundamentally transforming matter, energy, and even computation itself.

It tackles humanity's most intractable problems by fusing cutting-edge scientific research with ingenious engineering.

At the core of these transformative advances lies an essential catalyst: mathematics.

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Numerical Analysis
Advanced Materials
Optimization
Autonomous Vehicles
Computational Geometry
Additive Manufacturing
Topology
Robotics
Control Theory
Sensors
Information Theory
Edge Computing
Chaos Theory
Cloud Computing
Graph Theory
Medtech
Network Analysis
Bioelectronics
Signal Processing
Semiconductors
Fluid Dynamics
Wind Energy
Reliability Theory
Advanced Manufacturing
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We focus on fundamentals

We seek out universal principles that remain invariant across space and time — archai — viewing them as fundamental keys to technological progress. By focusing on these foundational concepts that appear universal at human scales, we aim to unlock new pathways for technological advancement.

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We map mathematical frontiers to technological breakthroughs

The relationship between mathematics and technology is so well-known that it's essentially taken for granted — rarely are the details explored or documented. Our research examines specific mathematical concepts that underpin transformative technologies, documenting clear pathways from theory to real-world impact.

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We create resources for math-driven technological advancement

Our work aims to strengthen the natural symbiosis between mathematical theory and technological innovation, where advances in one domain catalyze progress in the other. We develop frameworks to deliberately harness more of mathematics' untapped potential in shaping physical reality, while respecting the role of empirical discovery.

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We help mathematicians seeking impactful work in deep tech

We create specialized resources for mathematicians seeking to translate their expertise into technological breakthroughs beyond academia. Our resources are rooted in deep research and recognize the unique perspective mathematicians bring to problem-solving.

A vibrant digital landscape of green data visualizations, featuring glowing lines, dots, and wave patterns against a dark background, suggesting a dynamic flow of information and analytics.
Ai x Information theory
A futuristic green digital landscape with glowing grid lines forming hills and valleys. Above, vertical green light streaks and dots mimic stars in a night sky, creating a sci-fi atmosphere.
spatial computing x differential geometry
A vibrant, glowing green neuron with radiating dendrites is depicted against a dark background. Bright points of light accentuate the dendritic tips, creating an intricate, luminous web.
neurotech x signal processing
A bright green laser beam focuses into a small point on a surface, surrounded by horizontal rows that suggest an industrial or technological setting, with reflections on metallic textures.
photonics x nonlinear dynamics
/math x deep tech

Mathematics is the skeleton key that unlocks the mysteries of existence, a universal language that frees us from the limitations of conventional thinking, opening doors to technological advances previously deemed impossible.

Microelectronics
Nonlinear Dynamics
Photonics
Information Theory
Cybersecurity
Stochastic Models
Metamaterials
Computational Chemistry
Biotech
Molecular Dynamics
Drug Discovery
Inferential Statistics
Category Theory
Quantum Computing
Algebraic Topology
Spatial Computing
Non-Euclidean Geometry
Biomaterials
Numerical Analysis
Satellites
Network Theory
Genomics
Bioinformatics
Foodtech
/mathematicians x deep tech

Maximize Your Impact

Your passion for mathematics likely began with a profound desire to understand the universe.

Now, deep tech presents an opportunity to move beyond understanding the universe to actively shaping it.

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A robotic arm with glowing green lights and intricate mechanical details is extended against a dark background, showcasing its articulated fingers and advanced technology.
control theory
x
robotics
A close-up view of a glowing green circuit board with numerous illuminated nodes and tracks, giving an impression of advanced technology and connectivity. The lighting creates a futuristic and high-tech appearance.
signal processing
x
semiconductors
A close-up illustration of a green molecular structure, resembling a network of interconnected hexagonal shapes, set against a green gradient background. The design suggests a concept of nanotechnology or chemistry.
computational geometry
x
advanced materials
Close-up of several green-lit battery cells arranged in rows, with a futuristic and high-tech appearance. The glowing green lights create a sense of innovation and energy efficiency.
graph theory
x
energy storage
A digitally created image of glowing green DNA strands. The strands are intertwined, with bright points of light accentuating the structure. The background is dark, highlighting the vibrant green colors of the DNA.
network theory
x
genomics
A modern indoor vertical farm with rows of lush green leafy vegetables, illuminated by bright overhead lights. The plants are neatly organized on tiered shelves, creating an efficient and vibrant growing environment.
bioinformatics
x
foodtech
A digital artwork depicting dynamic green lines and dots forming wave-like patterns against a black background, creating an abstract and futuristic effect, suggestive of quantum processes.
algebraic topology
x
quantum computing
A bright green laser beam focuses into a small point on a surface, surrounded by horizontal rows that suggest an industrial or technological setting, with reflections on metallic textures.
nonlinear dynamics
x
photonics
/mathematicians x deep tech

Your Deep Tech Journey Starts Here

Drawing from an extensive survey of over a thousand Deep Tech companies, we've distilled insights on in-demand roles and the transformative solutions they're building.

We've created essential resources to help mathematicians navigate the transition from academia to deep tech. From industry guides to role breakdowns and application strategies, everything you need to begin your journey is right here.

Explore Our Resources
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Quantum Algorithm Design
Abstract digital art featuring green, symmetrical, quantum physical patterns forming two central oval shapes with glowing cores. The design resembles a pair of mirrored moth-like figures on a dark background.
Program Management
A close-up of a wooden chessboard with black and white pieces in the middle of a game. The focus is on a white king, knight, and pawn. The background is blurred with green and white triangular patterns.
Multimodal AI Engineering
A digital illustration of interconnected green neural networks with bright nodes against a dark background, symbolizing complex connections and communication pathways.
Curriculum Development
A large, modern lecture hall with rows of green chairs and wooden desks facing multiple projection screens. The room is well-lit, with green walls and ceiling lights, creating a clean and organized educational environment.
Statistical Quality Control
Abstract image featuring a green digital landscape with flowing lines and grids, creating a sense of depth and dynamic movement. Light dots are scattered throughout, enhancing the futuristic and technological impression.
Technical Support
A modern office space featuring rows of empty desks, each equipped with computers and office chairs. In the background, a green wall of plants adds a natural touch to the bright, open environment.
Business Development
A spacious, modern corridor with tall glass walls and a reflective green floor. Symmetrically lined with lush potted trees, the corridor is well-lit with natural light streaming in from large windows at the end.
Biostatistics
Close-up of green, spherical biological organisms arranged in a hexagonal pattern. The organisms are tightly clustered, showcasing their cellular structure with a bright green hue against a soft-focus background.
Operations Research
A green abstract digital graph with fluctuating lines and a grid pattern, resembling data analysis. The lines rise and fall against a blurred background, suggesting dynamic movement and information flow.
Data Analysis
A digital illustration depicting fluctuating data lines on a green grid background, symbolizing data analysis. The image features various intersecting lines in light green and white tones.
Business Analysis
A collection of green neon lights of varying heights resembling a stylized graph, set against a blurred green background. The lights create an abstract, futuristic visual effect.
Sustainability Analysis
Aerial view of a dense forest featuring vibrant evergreen trees. The lush tree canopy forms a striking contrast with the rich greenery, creating a visually appealing natural pattern.
Data Science
A network of interconnected green lines and dots on a dark background, resembling a digital web or neural network pattern. The lines and points vary in brightness, creating a dynamic and intricate design.
User Experience Research
Modern office interior with green and gray accents, featuring several desks and chairs, a large screen on the wall, and bookshelves. Large windows offer a view of skyscrapers and a cloudy sky outside.
Data Engineering
A computer monitor displaying green code sits on a desk with a keyboard and mouse. In the background, multiple screens show digital graphs and data. A small plant is positioned to the right of the monitor.
Supply Chain Analysis
A digital representation of the Earth, focused on the Western Hemisphere. It features a green network of interconnected lines and dots, symbolizing global connectivity and technology. The background is dark, enhancing the glowing green effect.
Quantum Information Theory
A green sphere surrounded by smaller glowing orbs with radiating lines resembles a quantum physical concept against a dark background.
Financial Analysis
A dynamic 3D rendering of green lines resembling fluctuating graphs or wave patterns, set against a soft, blurred background. The lines create a sense of movement and energy, suggesting data analysis and financial trends.
Compliance Analysis
A person with glasses is seated at a computer workstation, analyzing multiple green graphs and charts on several large screens in a dimly lit room. The data visualizations appear complex and detailed.
LLM Engineering
A glowing green network with interconnected lines and nodes on a grid-like surface, creating a web-like pattern. Its reminiscent of digital or data network schematics.
Market Research
A modern conference room with a long white table, surrounded by black leather chairs. Large windows on the left let in natural light. The back wall features green panels and hanging lights, creating an open and bright atmosphere.
Systems Engineering
A dimly lit data center with rows of server racks glowing green. The illuminated servers line both sides, creating a symmetrical pathway leading to a back wall, enhancing the futuristic and technological ambiance.
Risk Analysis
A 3D green bar chart with vertical lines on a grid background. The bars vary in height, representing data fluctuations, with a futuristic design. The scene is set against a blurred dark background with a subtle glow.
Project Management
A man in a green shirt stands in a conference room, looking at diagrams on a whiteboard. The room has green chairs and a conference table, creating a modern and professional atmosphere.
001
/resource 001: mathematical skill stack

Discover Your Mathematical Edge

Your mathematical knowledge is just the beginning. Explore 70+ transferable skills that set you apart in the deep tech landscape.

Explore the Math Skill Stack

Mathematical Skills

70+

Dynamic Tools for Professional Success

A modern office space with floor-to-ceiling glass walls and green-tinted glass columns, providing a panoramic city view. The room is filled with natural light and features sleek furniture, including chairs and tables.
| SKILLS | = 25

Strategic & Operational Skills

Mathematicians possess significant ability to strategize and make things happen.

A vibrant, abstract green web pattern radiates from the center, resembling interconnected, glowing neural pathways amidst a dark background. The lines and nodes are illuminated, creating a sense of depth and complexity.
| SKILLS | = 27

Conceptual & Applied Skills

These abilities make you a powerhouse in both technical and strategic roles.

Close-up view of a glowing, green three-dimensional maze. The maze walls are highlighted with bright luminescent edges, creating a vivid, modern design against a darker background.
| SKILLS | = 22

Deep Problem-Solving Acumen

The wellspring of innovation, empowering mathematicians to glimpse the fundamental truths that shape our reality.

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/resource 002: Deep tech ecosystem map

Find Challenges that Ignite You

Go straight to the edge of the technological frontier: navigate profiles of groundbreaking solutions from over 1000 companies shaping the future.

Explore the Deep Tech Ecosystem

Solutions Being Built

1000+

Deep Tech Solutions being Built

The Deep Tech Ecosystem Map

1000 solutions built across 81 subsectors, 20 sectors, six categories.

Explore the Deep Tech Ecosystem
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A close-up of a glowing green circuit board with intricate electronic components. The background is blurred, featuring additional circuit boards and green illuminated elements, creating a futuristic tech atmosphere.

/compute

A close-up view of a molecular structure composed of interconnected green spheres and rods, representing atoms and bonds, with a blurred background.

/materials

A construction site with multiple tall cranes and partially built high-rise buildings. Green protective coverings are visible on some structures. The sky is cloudy, creating a dramatic backdrop.

/infrastructure

Young green seedlings sprouting from dark, rich soil against a blurred dark background, symbolizing growth.

/agritech

Close-up image of the moons surface showing detailed craters in shades of gray. A bright star-like light is visible near the center, highlighting the texture and depth of the moons features.

/spacetech

A vibrant green abstract image depicting interconnected web-like structures with glowing nodes, resembling a neural network or technological network on a dark background.

/data & ai

A close-up view of a microchip surrounded by glowing green lights, resembling a futuristic circuit board. The lights illuminate the chips intricate design, giving it a high-tech, sophisticated appearance.

/hardware

A robotic hand with green and metallic components reaching out, showcasing intricate mechanical details against a blurred background.

/robotics

Abstract image featuring intricate, flowing green lines against a dark background. The lines converge at a bright central point, creating a dynamic, organic pattern suggesting energy flowing outward.

/energy

A close-up of several intertwined green DNA strands against a dark background. Each strand is composed of connected spheres, creating a textured and detailed visual of the double helix structure.

/biotech

A fleet of large drones is arranged on a grid-like surface, illuminated by a vibrant green light, creating a futuristic and high-tech atmosphere. The drones are evenly spaced, and the green light highlights their sleek design.

/defense tech

A variety of green apples scattered on a dark surface. The apples appear fresh and vibrant, with a smooth, glossy texture.

/edtech

A 3D printer creating a green, leaf-like sculpture under glowing green light. The intricate details of the object resemble a blooming flower or plant, contrasting with the metallic printer components.

/manufacturing

A surreal landscape with tall, towering cylindrical structures covered with plants. The ground is covered with lush, small green tufts and a distant view of mountains beneath a cloudy sky.

/climate tech

A large cargo ship loaded with multicolored shipping containers sails on a rough sea under a cloudy, stormy sky. The waves are choppy, highlighting the vessels scale against the dramatic backdrop.

/logistics

003
/resource 003: deep tech career tracks

Chart Your Unique Trajectory

Your ideal role in deep tech is waiting to be discovered — explore 50+ career paths extremely well-suited to your mathematical background.

Explore Deep Tech Career Tracks

Career Tracks

50+

Technical and Nontechnical Deep Tech Career Tracks

Quantum Algorithm Design
Program Management
Multimodal AI Engineering
Pharmacometrics
Curriculum Development
Business Analytics
Biostatistics
Data Analysis
Operations Research
Business Analysis
Computational Neuroscience
Sustainability Analysis
Data Science
UX Research
Data Engineering
Supply Chain Analysis
Quantum Information Theory
Technical Writing
LLM Engineering
Market Research
Systems Engineering
Risk Analysis
Project Management
Automation Engineering
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/resource 004: code-free careers guide

Coding-Optional Paths

Programming isn't your thing? No problem. Our guide will help you build a fulfilling deep tech career without writing a single line of code.

Read the Code-Free Careers Guide

Nontechnical Career Tracks

20+

Minimal to No Coding Required

A futuristic satellite orbits above a glowing green Earth, with starry space in the background. The satellite features a spherical core and intricate mechanical components.
satellites x vector calculus
Close-up image of vibrant green moss forming an intricate, web-like pattern. The interconnected strands create irregular shapes with a textured appearance, contrasted against a darker green background.
biomaterials x statistical mechanics
A row of green grid-scale energy storage devices is set against a backdrop of a dense forest under a cloudy sky. They are positioned on a grassy field, with a pathway leading up to them. The trees are tall and the scene is serene and scenic.
energy storage x thermodynamics
A close-up of a glowing green circuit board with intricate electronic components. The background is blurred, featuring additional circuit boards and green illuminated elements, creating a futuristic tech atmosphere.
hardware x boolean algebra

Ready to Transform Theory into Technology?

Explore our curated resources to start your deep tech journey

Explore Our Resources
A digital image featuring two luminous, flowing green lines, resembling waves or ribbons, set against a dark background. The lines are composed of tiny, glowing particles, creating a dynamic and futuristic effect.