Name | Description | Tags | Bounty | Members | Lead Researcher |
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ABC Conjecture | The abc conjecture is a conjecture in number theory, first proposed by Joseph Oesterlé and David Masser. It is stated in terms of three positive integers, a, b and c that are relatively prime and satisfy a + b = c. | Unsolved | $0 | 0 | |

AGI | Artificial general intelligence is the speculative intelligence of a machine that has the capacity to understand or learn any intellectual task that a human being can. It is a primary goal of some artificial intelligence research and a common topic in science fiction and futures studies. Also known as strong AI. | $0 | 0 | ||

Air To All | Air To All (airtoall.org) is a nonprofit that coordinates the design, production, and distribution of affordable medical devices. Our first project, 1 Million Ventilators, aims to deliver 1,000,000+ emergency ventilators to combat the global shortage caused by COVID-19. | $0 | 2 | ||

All | This topic contains posts from all topics on the site. | $0 | 0 | ||

Artificial Intelligence | In computer science, artificial intelligence, sometimes called machine intelligence, is intelligence demonstrated by machines, in contrast to the natural intelligence displayed by humans. | $0 | 0 | ||

Biochemistry | $0 | 0 | |||

Biology | Biology is the natural science that studies life and living organisms, including their physical structure, chemical processes, molecular interactions, physiological mechanisms, development and evolution. | $0 | 2 | ||

Biomedical Engineering | $0 | 0 | |||

Blockchain | $0 | 0 | |||

Brain–Computer Interface | A brain-computer interface, sometimes called a neural-control interface, mind-machine interface, direct neural interface, or brain-machine interface, is a direct communication pathway between an enhanced or wired brain and an external device. | $0 | 0 | ||

Cancer | Cancer is a group of diseases involving abnormal cell growth with the potential to invade or spread to other parts of the body. | $0 | 0 | ||

Climate Change | Climate change occurs when changes in Earth's climate system result in new weather patterns that remain in place for an extended period of time. | $0 | 0 | ||

Collatz Conjecture | Does the Collatz sequence eventually reach 1 for all positive integer initial values? Also known as the 3n + 1 problem. | Unsolved | $0 | 0 | |

Combinatorics | $0 | 0 | |||

Computational Complexity | Computational complexity theory focuses on classifying computational problems according to their inherent difficulty, and relating these classes to each other. | $0 | 2 | ||

Computer Science | Computer science is the study of processes that interact with data and that can be represented as data in the form of programs. It enables the use of algorithms to manipulate, store, and communicate digital information. A computer scientist studies the theory of computation and the design of software systems. | $0 | 6 | ||

Computer Security | $0 | 0 | |||

COVID-19 | Coronavirus disease 2019 (COVID-19) is an infectious disease caused by SARS-CoV-2, a virus closely related to the SARS virus. The disease is the cause of the 2019–20 coronavirus outbreak. | $0 | 4 | ||

COVID-19 Dataset Clearinghouse | There is an abundance of COVID-19 related data available. This data will be indispensable for the urgent tasks of understanding and preventing the spread of the virus as well as developing treatments. Moreover, there are a myriad of other e.g. economic, political, and mental health problems which have resulted from the pandemic. An organized collection of high-quality, clean, and accessible data sets will be indispensable in addressing these and many other issues. | $0 | 1 | ||

Cryptography | $0 | 0 | |||

Distributed Computing | $0 | 1 | |||

Fermat's Last Theorem | In number theory, Fermat's Last Theorem (sometimes called Fermat's conjecture, especially in older texts) states that no three positive integers a, b, and c satisfy the equation $a^{n} + b^{n} = c^{n}$ for any integer value of n greater than 2. | Solved | $0 | 0 | |

Gene Editing | Gene editing is a type of genetic engineering in which DNA is inserted, deleted, modified or replaced in the genome of a living organism. Unlike early genetic engineering techniques that randomly inserts genetic material into a host genome, genome editing targets the insertions to site specific locations. | $0 | 0 | ||

Geometry | $0 | 0 | |||

Goldbach's Conjecture | Goldbach's conjecture is one of the oldest and best-known unsolved problems in number theory and all of mathematics. It states: Every even integer greater than 2 is the sum of two primes. The conjecture remains unproven despite considerable effort. | Unsolved | $0 | 0 | |

Graph Theory | $0 | 1 | |||

Hadwiger-Nelson Problem | The Chromatic Number of the Plane (CNP) is the chromatic number of the graph whose vertices are elements of the plane, and two points are connected by an edge if they are a unit distance apart. The Hadwiger-Nelson problem asks to compute CNP. | Unsolved Polymath Project | $0 | 4 | |

Human–Computer Interaction | Human–computer interaction studies the design and use of computer technology, focused on the interfaces between people and computers. Researchers in the field of HCI observe the ways in which humans interact with computers and design technologies that let humans interact with computers in novel ways. | $0 | 0 | ||

IMO 2009 Q6 | Let $a_1, a_2, \ldots, a_n$ be distinct positive integers and let M be a set of $n-1$ positive integers not containing $s = a_1 +a_2 +\ldots+a_n$. A grasshopper is to jump along the real axis, starting at the point 0 and making n jumps to the right with lengths $a_1, a_2, \ldots , a_n$ in some order. Prove that the order can be chosen in such a way that the grasshopper never lands on any point in M. | Polymath Project Solved | $0 | 0 | |

Life Extension | Life extension is the idea of extending the human lifespan, either modestly – through improvements in medicine – or dramatically by increasing the maximum lifespan beyond its generally settled limit of 125 years. The ability to achieve such dramatic changes, however, does not currently exist. | $0 | 0 | ||

Machine Learning | $0 | 1 | |||

Math | Mathematics, the science of structure, order, and relation that has evolved from counting, measuring, and describing the shapes of objects. | $0 | 3 | ||

Medicine | Medicine is the science and practice of establishing the diagnosis, prognosis, treatment, and prevention of disease. Medicine encompasses a variety of health care practices evolved to maintain and restore health by the prevention and treatment of illness. | $0 | 0 | ||

Neuroscience | $0 | 0 | |||

Number Theory | Number theory is a branch of pure mathematics devoted primarily to the study of the integers and integer-valued functions. German mathematician Carl Friedrich Gauss said, "Mathematics is the queen of the sciences—and number theory is the queen of mathematics." | $0 | 0 | ||

PAPR | A powered, air-purifying respirator (PAPR) is a type of personal protective equipment used to safeguard workers against contaminated air. | $0 | 0 | ||

PHP Programming | $0 | 1 | |||

Physics | Physics is the natural science that studies matter, its motion and behavior through space and time, and the related entities of energy and force. Physics is one of the most fundamental scientific disciplines, and its main goal is to understand how the universe behaves. | $0 | 1 | ||

Poincaré Conjecture | The Poincaré conjecture is a theorem about the characterization of the 3-sphere, which is the hypersphere that bounds the unit ball in four-dimensional space. The conjecture states: Every simply connected, closed 3-manifold is homeomorphic to the 3-sphere. | Solved | $0 | 0 | |

Polymath Projects | The Polymath Project is a collaboration among mathematicians to solve important and difficult mathematical problems by coordinating many mathematicians to communicate with each other on finding the best route to the solution. The project began in January 2009 on Timothy Gowers' blog when he posted a problem and asked his readers to post partial ideas and partial progress toward a solution. | $0 | 0 | ||

Programming Language Theory | $0 | 1 | |||

P versus NP | The P versus NP problem is a major unsolved problem in computer science. It asks whether every problem whose solution can be quickly verified can also be solved quickly. | Unsolved | $0 | 2 | |

Quantum Computing | $0 | 0 | |||

Quantum Mechanics | $0 | 0 | |||

Riemann Hypothesis | The Riemann hypothesis is a conjecture that the Riemann zeta function has its zeros only at the negative even integers and complex numbers with real part 1/2. Many consider it to be the most important unsolved problem in pure mathematics. | Unsolved | $0 | 1 | |

Scholarize | Scholarize is a weekly mailing list that provides research opportunities to undergraduate science students. Feel free to post whatever you're currently working on, and make a new friend! | $0 | 12 | ||

Synthetic Biology | $0 | 0 | |||

Topology | $0 | 0 | |||

Twin Prime Conjecture | A twin prime is a prime number that is either 2 less or 2 more than another prime number. The Twin Prime Conjecture asks if there are infinitely many twin primes. | Unsolved Polymath Project | $0 | 0 | |

Ventilator Model A | Ventilator Model A will be a rapid response, low/moderate capacity ventilator that will be manufactured as an emergency stop gap. | $0 | 0 | ||

Ventilator Model B | Ventilator Model B will be a fully functional ventilator built specifically for more complex COVID-19 patients. This device will meet stricter regulatory requirements for medical devices, and will be operable in clinical and non-clinical settings. | $0 | 0 | ||

Wolfram Physics Project | Stephen Wolfram leads a new approach to discover the fundamental theory of physics. | $0 | 1 |