There are math problems that are thoroughly incomprehensible to the layman – the Riemann hypothesis needs a fair amount of sophisticated math to explain, for example. And then there are those that even a ten-year-old could understand. The famous Twin Prime Conjecture is definitely in the latter category…

Minimal surfaces are amongst the most important objects studied in differential geometry...

In many problems in science and technology, we are able to collect measurements and are interested in inferring useful information about the system, say certain physical parameters that can cause the effect (the measurements). Such a problem is termed an inverse problem because it starts with the effects and then calculates the causes…

Mean field game (MFG) theory studies the strategies of agents of a large population in a competitive environment…

Kinetic equations are widely used in many important areas such as rarefied gas, plasma physics, astrophysics, and have also seen a host of new applications such as semiconductor device modeling, environmental, social and biological sciences…

The idea of the phase field method could be traced back to Lord Rayleigh, Josiah Willard Gibbs and Van der Waals. Since then, it has emerged as a powerful approach for modeling and predicting mesoscale morphological and microstructural evolution arising from many fields, such as biology, material sciences, image processing, multiphase fluid mechanics, chemical and petroleum engineering, etc…

A prime number is a natural number greater than 1 that cannot be written as the product of two natural numbers except 1 and itself. In our daily lives, the applications of mathematics are usually the calculation of elementary arithmetic. There is, therefore, no apparent connection between prime numbers and our daily lives. In fact, there is discernible linkage…

“A lie can travel halfway around the world while the truth is putting on its shoes.” This adage has never been truer than in the era of online media…