The field of algebraic geometry investigates the profound interplay between polynomial equations and geometric structures, providing a rich framework that unites abstract theory with practical ...

The study of curve arrangements in the framework of algebraic geometry examines configurations of algebraic curves—ranging from lines to higher degree entities—in projective spaces, where intricate ...

How can the behavior of elementary particles and the structure of the entire universe be described using the same mathematical concepts? This question is at the heart of the recent work by ...

Both algebraic and arithmetic geometry are concerned with the study of solution sets of systems of polynomial equations. Algebraic geometry deals primarily with solutions lying in an algebraically ...

The four editors in chief of the Journal of Algebraic Combinatorics have informed their publisher, Springer, of their intention to launch a rival open-access journal to protest the publisher’s high ...

Several fields of mathematics have developed in total isolation, using their own 'undecipherable' coded languages. Mathematicians now present 'big algebras,' a two-way mathematical 'dictionary' ...

Materials were written for an entire year's course in geometry in which transformations were used to develop the concepts of congruence, similarity, and symmetry, as well as being a vehicle for proof.

The BBVA Foundation Frontiers of Knowledge Award in Basic Sciences has gone in this sixteenth edition to Claire Voisin (National Centre for Scientific Research, CNRS, France) and Yakov Eliashberg ...