Leila Sloman

Princeton

Contributing Correspondent at Quanta Magazine

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Articles

New Proof Settles Decades-Old Bet About Connected Networks

3 weeks ago | quantamagazine.org | Leila Sloman

To certain mathematicians — Sarnak among them — the Alon-Boppana bound was an entrancing challenge. Could they construct graphs, they wondered, that reached this limit? In a landmark paper published in 1988, Sarnak, Alexander Lubotzky and Ralph Phillips figured out how to. Using a highly technical result in number theory by the Indian math prodigy Srinivasa Ramanujan, Sarnak and his collaborators produced regular graphs that achieved the Alon-Boppana bound.
A Math Couple Solves a Major Group Theory Problem-After 20 Years of Work

1 month ago | technewstube.com | Leila Sloman

Tech News Tube is a real time news feed of the latest technology news headlines.Follow all of the top tech sites in one place, on the web or your mobile device.
A Math Couple Solves a Major Group Theory Problem-After 20 Years of Work

1 month ago | wired.com | Leila Sloman

The original version of this story appeared in Quanta Magazine. In 2003, a German graduate student named Britta Späth encountered the McKay conjecture, one of the biggest open problems in the mathematical realm known as group theory. At first her goals were relatively modest: She hoped to prove a theorem or two that would make incremental progress on the problem, as many other mathematicians had done before her. But over the years, she was drawn back to it, again and again.
After 20 Years, Math Couple Solves Major Group Theory Problem

2 months ago | quantamagazine.org | Leila Sloman |Richard Green |Solomon Adams

Introduction In 2003, a German graduate student named Britta Späth encountered the McKay conjecture, one of the biggest open problems in the mathematical realm known as group theory. At first her goals were relatively modest: She hoped to prove a theorem or two that would make incremental progress on the problem, as many other mathematicians had done before her. But over the years, she was drawn back to it, again and again.
Mathematik: Zwei Schülerinnen finden »unmöglichen« Beweis zum Satz des Pythagoras

Oct 28, 2024 | spektrum.de | Leila Sloman

Bericht Lesedauer ca. 3 Minuten DruckenTeilen Mathematik: Zwei Schülerinnen finden »unmöglichen« Beweis zum Satz des PythagorasEs gibt hunderte Beweise für den Satz des Pythagoras. Zwei Schülerinnen präsentieren nun einen weiteren - und bedienen sich dafür der Trigonometrie. Lange Zeit galt das als unmöglich. Exklusive Übersetzung ausZwei Schülerinnen einer US-amerikanischen High-School haben den Satz des Pythagoras auf eine Weise bewiesen, die ein Mathematiker des frühen 20.
Mathematik: Zwei Schülerinnen finden »unmöglichen« Beweis zum Satz des Pythagoras

Oct 28, 2024 | spektrum.de | Leila Sloman

Bericht Lesedauer ca. 3 Minuten DruckenTeilen Mathematik: Zwei Schülerinnen finden »unmöglichen« Beweis zum Satz des PythagorasEs gibt hunderte Beweise des Satzes von Pythagoras. Zwei Schülerinnen haben nun einen weiteren präsentiert, der vor 100 Jahren als unmöglich galt. Exklusive Übersetzung ausZwei Schülerinnen einer US-amerikanischen High-School haben den Satz des Pythagoras auf eine Weise bewiesen, die ein Mathematiker des frühen 20. Jahrhunderts für unmöglich hielt.
Big Advance on Simple-Sounding Math Problem Was a Century in the Making

Oct 14, 2024 | quantamagazine.org | Erica Klarreich |Matt von Hippel |Gregory Barber |Leila Sloman

A new proof about prime numbers illuminates the subtle relationship between addition and multiplication — and raises hopes for progress on the famous abc conjecture. Introduction One morning last November, the mathematician Hector Pasten finally solved the problem that had been dogging him for more than a decade by using a time-tested productivity hack: procrastination.
‘Groups’ Underpin Modern Math. Here’s How They Work

Oct 5, 2024 | technewstube.com | Leila Sloman

What do the integers have in common with the symmetries of a triangle? In the 19th century, mathematicians invented groups as an answer to this question.
‘Groups’ Underpin Modern Math. Here’s How They Work

Oct 5, 2024 | wired.com | Leila Sloman

Mathematics started with numbers—clear, concrete, intuitive. Over the last two centuries, however, it has become a far more abstract enterprise. One of the first major steps down this road was taken in the late 18th and early 19th centuries. It involved a field called group theory, and it changed math—theoretical and applied—as we know it. Groups generalize essential properties of the whole numbers.
When Data Is Missing, Scientists Guess. Then Guess Again.

Oct 2, 2024 | quantamagazine.org | Matt von Hippel |Gregory Barber |Leila Sloman |Erica Klarreich

Introduction Data is almost always incomplete. Patients drop out of clinical trials and survey respondents skip questions; schools fail to report scores, and governments ignore elements of their economies. When data goes missing, standard statistical tools, like taking averages, are no longer useful. “We cannot calculate with missing data, just as we can’t divide by zero,” said Stef van Buuren, the professor of statistical analysis of incomplete data at the University of Utrecht.