### About Alexandru Suciu

Prof. Suciu’s research interests are in Topology, and how it relates to Algebra, Geometry, and Combinatorics. He currently investigates cohomology jumping loci, and their applications to algebraic varieties, low-dimensional topology, and toric topology, such as the study of hyperplane arrangements, Milnor fibrations, moment angle complexes, configuration spaces, and various classes of knots, links, and manifolds, as well as the homology and lower central series of discrete groups.

Modern algebra has its roots in the mathematics of the ancient world, arising out of the basic problem of solving equations. Following an explosive development in the twentieth century, it is now a vibrant, multi-faceted and wide-ranging branch of mathematics, having ties with almost every field of mathematics and computer science. The interests of the algebra group at Northeastern include algebraic geometry, commutative algebra, representation theory, homological algebra, and quantum groups, with connections to combinatorics, singularities, Lie groups, topology, and physics.

Algebraic geometry generally uses tools from algebra to study objects called algebraic varieties that are solution sets to algebraic equations

Perhaps the fastest growing area of modern mathematics. It has a wealth of real-world applications, especially in computer science, which have greatly contributed to its rapid growth.

The study of those properties that are preserved through continuous deformations of objects. It can be used to abstract the inherent connectivity of objects while ignoring their detailed form.