Reviews
What results from the past have proved unusually influential in current directions of mathematical research? These posts have short reviews of classic mathematical research papers. Most will be about results that appeared in the last half-century.
What are the latest breakthroughs? These posts summarize current mathematical research. They cover significant and influential results announced in talks, preprints, and publications. These results are often preliminary, and their correctness may be as yet uncertain.
These posts examine central open problems, their history, and why their solution would have an impact on progress in mathematics.
Recent Reviews
Freedman’s Hard Decomposition Theorem
AUTHOR : R. Kirby :EDITORS : J. Hass and R. Ghrist ART : J. Hass INTRODUCTION In his celebrated paper [8], Mike Freedman showed that analogues of
An Aperiodic Set of Eleven Wang Tiles
AUTHORS : B. Durand and A. Shen : EDITOR/ART : R. Ghrist : This is a review of E. Jeandel and M. Rao, “An aperiodic set of
Milman and Neeman Post Proof of Triple and Quadruple Bubble Conjectures in $R^n$ and $S^n$
AUTHOR : F. Morgan : EDITORS : J. Hass, R. Ghrist : ART : R. Ghrist In 1884 Hermann Schwarz proved that a single round
Artificial Intelligence in Knot Theory
AUTHOR : C. Adams : EDITOR/ART : R. Ghrist : To move mathematics forward, researchers are constantly seeking new relationships between various areas of mathematics. The farther
Computability and Undecidability for Euler Fluids
AUTHOR/EDITOR/ART : R. Ghrist : This is a review of recent work by R. Cardona, E. Miranda, D. Peralta-Salas, and F. Presas, as per the
Floating bodies of equilibrium in 2D, the tire track problem, and electrons in a parabolic magnetic field
AUTHOR : S. Tabachnikov : EDITOR/ART : R. Ghrist : This review is for the preprint: F. Wegner, From elastica to floating bodies of equilibrium,