2026

Abel Prize 2026

Finitely Many Points, Proven at Last

Abel Prize

Gerd Faltings

The Mordell conjecture had sat in the mathematical literature since 1922, a precise and haunting claim that curves of genus greater than one — the rough topological measure of how many holes a surface has — could only pass through finitely many rational points. Generations of number theorists circled it. Then in 1983, a thirty-year-old German named Gerd Faltings proved it in one stroke, deploying tools from arithmetic geometry so novel that the mathematical community spent years unpacking the proof's consequences. The Fields Medal followed in 1986; the Abel Prize, announced on 19 March 2026, recognised the full body of work that had accumulated since — a set of techniques for studying Diophantine equations that had become standard equipment for anyone working at the intersection of number theory and geometry. Faltings has always been economical in his publications, preferring to write when he has something permanent to say, and what he has said has mostly been permanent.

Turing Award (2025, announced 2026)

A Secret That Notices Being Watched

ACM A.M. Turing Award

Charles H. Bennett · Gilles Brassard

Cryptography before 1984 was built on computational hardness: the assumption that certain mathematical problems are slow enough to solve that your secrets are effectively safe. Bennett and Brassard, meeting at a conference in the early 1980s, began asking a different question entirely — what if the laws of physics, rather than the limits of computation, could guarantee secrecy? Their BB84 protocol, published in 1984, used quantum mechanics to transmit a key in such a way that any interception necessarily disturbs the quantum states, leaving traces an alert receiver can detect. Over the four following decades they extended the work to quantum teleportation and the theoretical foundations of quantum error correction. The 2025 Turing Award, announced in early 2026, recognised that this was not just a cryptographic curiosity but the conceptual scaffold on which a whole new kind of computing is now being built.

Breakthrough Prize in Life Sciences 2026

One Gene Switch, Two Diseases Unified

Breakthrough Prize in Life Sciences

Jean Bennett · Katherine A. High · Albert Maguire · Stuart H. Orkin · Swee Lay Thein · Rosa Rademakers · Bryan Traynor

Three separate teams shared the 2026 Life Sciences prize, announced on 18 April, each having solved a problem that had seemed intractable from a different angle. Jean Bennett, Katherine High, and Albert Maguire developed the first FDA-approved gene therapy for inherited retinal dystrophy — an adeno-associated virus carrying a corrected RPE65 gene, injected beneath the retina — which gave children who would otherwise have gone progressively blind a functional chance at sight. Stuart Orkin and Swee Lay Thein spent decades mapping the molecular switch that turns off fetal haemoglobin after birth, and demonstrated that reactivating it is a viable treatment strategy for sickle-cell disease and beta-thalassaemia, insight that underpins several now-approved therapies. Rosa Rademakers and Bryan Traynor discovered that a repeat expansion in a gene called C9orf72 is the single most common genetic cause of both ALS and frontotemporal dementia — two diseases previously considered unrelated, now understood to share a mechanism and perhaps, eventually, a treatment.

Breakthrough Prize in Mathematics 2026

When Waves Break, and When They Don't

Breakthrough Prize in Mathematics

Frank Merle

The long-time behaviour of nonlinear wave equations is, mathematically speaking, a hostile environment: solutions can remain perfectly well-behaved for a while and then, without warning, develop singularities that blow up in finite time, or they can shed energy in structured waves called solitons while the rest of the solution disperses. Understanding which of these fates awaits a given initial condition — and why — had been one of the central problems of the analysis of dispersive equations. Frank Merle spent several decades producing a sequence of results that clarified when blowup occurs, when it can be avoided, and how solutions decompose, reshaping the field's understanding of wave equations from the inside out. The 2026 Breakthrough Prize in Mathematics, awarded on 18 April, recognised the cumulative weight of that programme — work that is both technically formidable and quietly essential to anyone who models how waves, fields, or fluids actually evolve.

Breakthrough Prize in Fundamental Physics 2026

A Wobble the Vacuum Can't Explain

Breakthrough Prize in Fundamental Physics

Muon g-2 Collaborations (CERN, Brookhaven, Fermilab) · David J. Gross

The muon is the electron's heavier cousin, and like all charged particles in quantum field theory, it is constantly interacting with a seething foam of virtual particles that subtly alter its magnetic moment — a quantity known, for reasons of historical convention, as g-2. The gap between the Standard Model's prediction and the measured value of this quantity is either a rounding error in the theory or a fingerprint of physics not yet discovered, and determining which has occupied three successive experimental collaborations at CERN, Brookhaven, and Fermilab across more than thirty years of progressively finer measurement. Those collaborations shared the 2026 Fundamental Physics Breakthrough Prize on 18 April. A Special Prize went separately to David Gross, who won the 2004 Nobel for asymptotic freedom — the property of the strong nuclear force that makes quarks behave as if they are almost free at short distances — and whose influence on theoretical physics is sufficiently broad that prizes have been finding him at intervals ever since.

EAST tokamak exceeds Greenwald density limit

Denser Than the Limit Allowed

The Greenwald limit is one of the quiet inconveniences of fusion research: a semiempirical ceiling on how densely you can pack a plasma before the confinement becomes unstable and the whole enterprise collapses into the wall. It is not a fundamental law — more of a hard-won empirical boundary — but it has shaped reactor design for decades. In January 2026, China's Experimental Advanced Superconducting Tokamak operated at plasma densities between 1.3 and 1.65 times that ceiling and remained stable, accessing what researchers call the density-free regime. The achievement matters because the plasma densities that would make a fusion power plant genuinely economical require exceeding the Greenwald limit, and EAST's results suggest that doing so steadily is not just theoretical. It does not make commercial fusion imminent. It makes it rather less implausible.

Self-replicating polymerase ribozyme supports RNA World hypothesis

RNA Learns to Copy Itself

The RNA World hypothesis rests on a circularity that has always been its strongest selling point and its deepest vulnerability: life requires RNA to make proteins, proteins to copy RNA, and something must have come first. The hypothesis argues that RNA came first — that early RNA molecules catalysed their own replication before proteins existed to help them. The problem is that demonstrating this experimentally has proved fiendishly difficult, because building an RNA molecule capable of copying RNA, and especially a version of itself, turns out to require solving dozens of smaller problems simultaneously. In February 2026, researchers announced a polymerase ribozyme — a pure RNA molecule — that could do exactly that: copy RNA templates, and copy a version of itself with sufficient fidelity to be taken seriously as a proof of principle. Every step in this direction is a step toward showing that the origin of life did not require a miracle, only chemistry that no one has quite replicated yet.

Vera Rubin Observatory announces over 11,000 new solar system asteroids

Eleven Thousand Rocks, Newly Named

The Vera Rubin Observatory on Cerro Pachón in Chile was built to do one thing with extraordinary thoroughness: observe the entire visible southern sky every few nights, for a decade, in six wavelengths. The first major result from that programme arrived in April 2026 — a catalogue of more than 11,000 solar system objects that had not previously been catalogued, including trans-Neptunian bodies, near-Earth asteroids, and objects whose orbits had been inferred from gravitational perturbations but never pinned down with a direct observation. The sheer count is less important than what it represents: the Solar System Census is now being conducted at a pace and completeness that no previous telescope could manage. Among those 11,000 objects is almost certainly at least one that deserves closer attention, and the machinery to find it is now running.

Artemis II: first crewed lunar flyby since Apollo

Back to the Neighborhood, After Fifty Years

On 1 April 2026, a Space Launch System rocket lifted off from Kennedy Space Center carrying Reid Wiseman, Victor Glover, Christina Koch, and Canada's Jeremy Hansen — the first crew bound for the vicinity of the Moon since Apollo 17 departed in December 1972. Five days later, the Orion capsule flew within 6,545 kilometres of the lunar surface, closer than the crewed missions that stayed in Earth orbit, and set a new record for crewed spaceflight distance at 252,760 miles from Earth, surpassing even Apollo 13, which had not intended to set any records. The crew splashed down on 10 April, and the argument that the Moon is no longer reachable by humans was retired. No one landed; that comes next. But for the first time in more than half a century, human beings had been to the neighbourhood, looked out the window, and come back to report what it looks like.

Ariane 64 maiden flight delivers Amazon satellites

Europe Lifts Its Own Weight Again

European heavy-lift launch capacity had been in an uncomfortable position since the retirement of Ariane 5 in 2023: Ariane 6 in its two-booster configuration existed, but the four-booster heavy-lift variant that would restore full capability had not yet flown. On 12 February 2026, the Ariane 64 lifted off from the Guiana Space Centre in Kourou and placed 32 Amazon Project Kuiper satellites into low Earth orbit, demonstrating a maximum payload of up to 21.6 tonnes to LEO and, in one flight, doubling European capacity for large-mass orbital delivery. The European Space Agency has spent several uncomfortable years watching SpaceX's Falcon 9 accumulate launches in figures that resemble an odometer rather than a manifest; the Ariane 64 does not match that cadence, but it restores the ability to do the largest jobs without booking passage on an American rocket.

Death of J. Craig Venter

He Raced the Consortium and Tied

J. Craig Venter

Craig Venter arrived at the Human Genome Project in 1998 as an uninvited competitor, founding Celera Genomics and announcing that his team would sequence the human genome faster and more cheaply than the international public consortium, using whole-genome shotgun sequencing — an approach the establishment considered reckless. He was right about the speed. The result, announced jointly in June 2000, was a diplomatic draw and a scientific landmark. He subsequently navigated his own genome, the first human to be so sequenced by name, and spent the following years working on synthetic biology, including the construction of the first synthetic bacterial cell in 2010. He died in San Diego on 29 April 2026, at age 79. That he arranged to be the first person to have his genome sequenced does seem like the sort of thing he would have arranged.

Death of Paul R. Ehrlich

Wrong About the Famine, Right About the Fear

Paul R. Ehrlich

Paul Ehrlich's 1968 book "The Population Bomb" opened with a declaration that hundreds of millions of people would starve to death in the 1970s, and it was wrong — specifically, confidently, measurably wrong — which did not prevent it from becoming one of the most widely read science books of the twentieth century. Ehrlich remained a consequential figure anyway, not least because the underlying concern about carrying capacity and ecological limits did not dissolve when the specific predictions missed, and because as a working biologist he produced important research on the coevolution of plants and their insect herbivores, a body of work substantially more durable than his forecasts. His legacy is the uncomfortable one of a scientist whose most famous work was wrong in its details and yet helped shape four decades of environmental thought. He died on 13 March 2026, at age 93.

Death of Heisuke Hironaka

Smoothing Out Every Sharp Point

Heisuke Hironaka

Algebraic varieties — the geometric objects studied in algebraic geometry — have a disquieting tendency to develop singularities: points where the surface pinches, crosses itself, or otherwise ceases to be smooth in a way that makes the usual tools of analysis fail. Resolving these singularities, in the sense of constructing a smooth variety that maps onto the original without changing what matters, had been one of the central problems of the field. In 1964, Heisuke Hironaka proved that this can always be done, at least over fields of characteristic zero — a result of such technical difficulty that mathematicians spent years verifying the proof, and that earned him the Fields Medal in 1970. He later proved similar results in positive characteristic in low dimensions, where the problem is considerably harder and the tools considerably thinner. Hironaka died in Tokyo on 18 March 2026, at age 94.

Death of William Alvin Howard

A Proof Is Secretly a Program

William Alvin Howard

In 1969, William Howard wrote a short note — circulated privately, not published until 1980 — observing that the rules of proof in intuitionistic logic and the rules of computation in typed lambda calculus are, in a precise structural sense, the same thing. A proof that there exists some object with a given property is, under this correspondence, exactly a program that produces such an object; a logical connective is a type constructor; eliminating a hypothesis is applying a function. This Curry–Howard correspondence, as it became known, is not a metaphor or an analogy. It is an isomorphism. It is the reason that modern proof assistants such as Coq and Lean can verify mathematical proofs by type-checking programs, and it is the foundation of much of contemporary programming language theory. Howard died in Chicago on 13 March 2026, at age 99, having spent decades teaching and influencing people who would not fully understand why his note mattered until they were deep into careers he had shaped.

Death of Gladys West

The Shape of Earth, Quietly Calculated

Gladys West

Gladys West joined the Naval Surface Warfare Center at Dahlgren, Virginia, in 1956 as one of a small number of Black women mathematicians working in a facility that did not yet know what to do with computers and was only beginning to understand what it might need from the people programming them. Over the following decades she applied those computers — and eventually wrote her own code on them — to the problem of constructing an increasingly precise mathematical model of Earth's shape, accounting for the gravitational anomalies that arise from the planet's irregular mass distribution. That model, the geoid, is what makes satellite-based navigation work: without a geodetically accurate model of where the surface of the Earth actually is relative to the orbit of a satellite, a GPS position fix accumulates errors that make it useless. West died in Alexandria, Virginia, on 17 January 2026, at age 95, by which point several billion people were using the mathematical foundation she had built every time they asked for directions.