Science, Math, and
Technology
The
10 Biggest Math Breakthroughs of 2025
"Hidden Fibonacci numbers, a new shape and the search for
a grand unified theory of mathematics are among our
choices for most exciting findings of the year."
By Clara Moskowitz
(scientificamerican.com) OsakaWayne Studios/Getty Images
12-21-2025
The
Year in Mathematics
"Explore a shape that can’t pass through itself, a teenage
prodigy, and two new kinds of infinity."
By Jordana
Cepelewicz (quantamagazine.org) Image via Kearney Group
12-18-2025
The
Year in Physics
"Physicists spotted a “terribly exciting” new black hole,
doubled down on weakening dark energy, and debated the
meaning of quantum mechanics."
By Natalie
Wolchover (quantamagazine.org) Photo via shutterstock.com
12-17-2025
The
Year in Computer Science
"Explore the year’s most surprising computational
revelations, including a new fundamental relationship
between time and space, an undergraduate who overthrew a
40-year-old conjecture, and the unexpectedly effortless
triggers that can turn AI evil. "
By Michael Moyer
(quantamagazine.org) Photo via reddit.com
12-16-2025
String
Theory Inspires a Brilliant, Baffling New Math Proof
"Years ago, an audacious Fields medalist outlined a
sweeping program that, he claimed, could be used to
resolve a major problem in algebraic geometry. Other
mathematicians had their doubts. Now he says he has a
proof. "
By Joseph Howlett
(quantamagazine.org) Photo via MDR Jump
12-12-2025
Athletes
Have a Mysteriously Higher Risk of Irregular Heartbeat
"Exercise is one of the best things we can do for a
healthy heart. Yet research shows that endurance athletes
have up to a four times higher risk of atrial fibrillation
(an irregular or fast heartbeat) than non-athletes."
By Ben Buckley
(sciencealert.com) (Sergii Kolesnikov/iStock/Getty Images)
12-6-2025
What
Are Lie Groups?
"By combining the language of groups with that of geometry
and linear algebra, Marius Sophus Lie created one of
math's most powerful tools."
By Leila Sloman
(quantamagazine.org) Mark Belan/Quanta Magazine
12-3-2025
‘Reverse
Mathematics’ Illuminates Why Hard Problems Are Hard
"When it comes to hard problems, computer scientists seem
to be stuck. Consider, for example, the notorious problem
of finding the shortest round-trip route that passes
through every city on a map exactly once."
By Ben Brubaker
(quantamagazine.org) Photo via komodomath.com
12-1-2025
Cosmic
Paradox Reveals the Awful Consequence of an Observer-Free
Universe
"Encouraged by successes in understanding black holes,
theoretical physicists are applying what they’ve learned
to whole universes. What they’re finding has them
questioning fundamental assumptions about how physics
ought to be done."
By Matt von Hippel
(quantamagazine.org) Image via Stanford University
11-19-2025
Physicists
Take the Imaginary Numbers Out of Quantum Mechanics
"Quantum mechanics has at last been formulated exclusively
with real numbers, bringing a mathematical puzzle at the
heart of the theory into a new era of inquiry."
By Daniel Garisto
(quantamagazine.org) Image: Andrea Ucini via
scientificamerican.com
11-7-2025
Quantum
Teleportation Was Achieved Over The Internet For The First
Time
"In 2024, a quantum state of light was successfully
teleported through more than 30 kilometers (around 18
miles) of fiber optic cable amid a torrent of internet
traffic - a feat of engineering once considered
impossible."
By Mike McRae
(sciencealert.com) (agsandrew/Getty Images)
10-26-2025
Holes
in the web
"Huge swathes of human knowledge are missing from the
internet. By definition, generative AI is shockingly
ignorant too."
Deepak Varuvel
Dennison (aeon.co) Image: SoluLab
10-14-2025
Can
we stop with all this AI bubble talk, please?
"I get it. Those hunting for a dot-com style stock market
explosion want to make names for themselves by predicting
a bubble."
By Brian Sozzi
(finance.yahoo.com) Illustration: Maura Kearns/Axios
10-12-2025
America’s
elite universities have lost their way
"Elite US universities have lost public trust by
prioritizing social engineering and political values over
academic excellence."
By Allison Schrager
(economictimes.indiatimes.com) (Image Credit not Found)
9-30-2025
A
Simple Way To Measure Knots Has Come Unraveled
"Two mathematicians have proved that a straightforward
question - how hard is it to untie a knot? - has a
complicated answer."
By Leila Sloman
(quantamagazine.org) (Image Credit not Found)
9-24-2025
What
Is the Fourier Transform?
"In the early 1800s, the French mathematician
Jean-Baptiste Joseph Fourier discovered a way to take any
function and decompose it into a set of fundamental waves,
or frequencies."
By Shalma Wegsman
(quantamagazine.org) Sierra Boucher; Samuel Velasco/Quanta
Magazine
9-3-2025
Quantum
Teleportation Was Achieved Over Internet For The First
Time
"In 2024, a quantum state of light was successfully
teleported through more than 30 kilometers (around 18
miles) of fiber optic cable amid a torrent of internet
traffic – a feat of engineering once considered
impossible."
By Mike McRae
(sciencealert.com) (agsandrew/Getty Images)
7-18-2025
Mathematicians
discover a completely new way to find prime numbers
"Using a notion called integer partitions, mathematicians
have discovered a new way to detect prime numbers while
also connecting two areas of math in an unexpected way."
By Rachel Crowell
(livescience.com) (Image credit: ROBERT BROOK/SCIENCE
PHOTO LIBRARY via Getty Images)
6-19-2025
New
Quantum Algorithm Factors Numbers With One Qubit
"In the new work, researchers show how to factor an
integer of any size with a single qubit and three
components known as oscillators - readily available
devices typically associated with other quantum
technology, like optics systems."
Stephen Ornes
(quantamagazine.org) Image via quantumzeitgeist.com
6-9-2025
Mathematician Finds Solution to One of The
Oldest Problems in Algebra
"Solving one of the oldest algebra problems isn't a bad
claim to fame, and it's a claim Norman Wildberger can now
make: The mathematician has solved what are known as
higher-degree polynomial equations, which have been
puzzling experts for nearly 200 years."
By David Nield
(sciencealert.com) (Insights into Mathematics/YouTube)
5-5-2025
Quantum Teleportation Achieved Over Internet
For The First Time
"A quantum state of light was successfully teleported
through more than 30 kilometers (around 18 miles) of fiber
optic cable amid a torrent of internet traffic – a feat of
engineering once considered impossible."
By Mike McRae
(livescience.com) (agsandrew/Getty Images)
3-28-2025
What is Dark Energy?
"The standard cosmological model is simple. The expanding
Universe has the total mass density corresponding to a
nearly flat geometry and its mass budget today is
dominated by two components: a cosmological constant -
labeled as “dark energy” and weakly-interacting particles
- labeled as “dark matter."
Avi Loeb
(avi-loeb.medium.com) (Image credit:
KPNO/NOIRLab/NSF/AURA/T. Slovinský)
3-23-2025
‘Once in a Century’ Proof Settles Math's
Kakeya Conjecture
"The deceptively simple Kakeya conjecture has bedeviled
mathematicians for 50 years. A new proof of the conjecture
in three dimensions illuminates a whole crop of related
problems. "
By Joseph Howlett
(quantamagazine.org) photo via phys.org
3-14-2025
Scientists Confirm The Universe Is Expanding
Too Fast
"For the better part of a century, astronomers have
understood that what started as a concentration of mass
and energy crammed into a confined space is now a dazzling
spread of galaxies cast adrift on an expanding sea of
nothingness."
By Mike McRae
(sciencealert.com) (Mark Garlick/Science Photo
Library/Getty Images)
1-22-2025
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Dark Energy May Not Exist: Something
Stranger Might Explain The Universe
"There might not be a mysterious 'dark' force accelerating
the expansion of the Universe after all. The truth could
be much stranger – bubbles of space where time passes at
drastically different rates."
By Michael Irving
(livescience.com) (Volker Springel/Max Planck Institute
for Astrophysics/et al)
1-2-2025
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