The universe’s geometry determines whether the cosmos is spatially finite or infinite. The geometry could be flat, open (meaning negatively curved), or closed (meaning positively curved). In two ...

Algebraic curves defined over finite fields have long been a rich source of enquiry, bridging abstract algebra, geometry and number theory. Their automorphism groups, which consist of self-symmetries ...

Discrete mathematics is the study of finite or countable discrete structures; it spans such topics as graph theory, coding theory, design theory, and enumeration. The faculty at Michigan Tech ...

It has been an exhilarating year in combinatorics research. In early 2023, mathematicians were stunned when two of the biggest problems in the field were solved in as many months. Now, a third major ...