Welcome to our Articles Subpage, where the intricate tapestry of mathematics unfolds. Immerse yourself in a diverse array of topics, from the elegant intricacies of Graph Theory to the enigmatic wonders of Number Theory. Delve into the foundational concepts of Set Theory and navigate the complexities of Dynamic Systems. Embark on a journey through the abstract landscapes of Topology and unravel the philosophical mysteries of the Foundations of Mathematics.

Each article is meticulously crafted to provide you with insights, theories, and practical applications, bridging the gap between mathematical theory and real-world scenarios. Whether you're a budding mathematician, a curious enthusiast, or a seasoned scholar, the articles offer a rich tapestry of knowledge waiting to be explored.

Dive in and discover the beauty of mathematics across various disciplines. Let the exploration begin! Happy reading!

why-math-is-the-best-way-to-make-sense-of-the-world-20170911.pdf

To tell truth from fiction, start with quantitative thinking, argues the mathematician Rebecca Goldin. 

an-old-conjecture-falls-making-spheres-a-lot-more-complicated-20230822.pdf

The telescope conjecture gave mathematicians a handle on ways to map one sphere to another. Now that it has been disproved, the universe of shapes has exploded.

flow-proof-helps-mathematicians-find-stability-in-chaos-20230615.pdf

A series of new papers describes how to reconstruct key dynamical systems with relatively little data. 

how-simple-math-moves-the-needle-20230929.pdf

The spatial intuition behind a three-point turn offers an on-ramp to a century-old geometry problem. 

behold-modular-forms-the-fifth-fundamental-operation-of-math-20230921.pdf

Modular forms are one of the most beautiful and mysterious objects in mathematics. What are they? 

how-math-has-changed-the-shape-of-gerrymandering-20230601.pdf

New tools make it possible to detect hidden manipulation of maps.

the-deep-link-equating-math-proofs-and-computer-programs-20231011.pdf

Mathematical logic and the code of computer programs are, in an exact way, mirror images of each other. 

how-can-some-infinities-be-bigger-than-others-20230419.pdf

All infinities go on forever, so how is it possible for some infinities to be larger than others? The mathematician Justin Moore discusses the mysteries of infinity with Steven Strogatz.

ninth-dedekind-number-found-by-two-independent-groups-20230801.pdf

The numbers count a variety of seemingly unrelated mathematical structures.