Algebra is the discipline of pure mathematics that is concerned with the study of the abstract properties of a set, once this is endowed with one or more operations that respect certain rules (axioms) ...
The combinatorial geometry of hyperplane arrangements explores how a finite collection of affine hyperplanes partitions Euclidean space and the rich invariants that arise from this partitioning. At ...
(PhysOrg.com) -- A mathematician in the Indiana University College of Arts and Sciences is being credited with resolving a 65-year-old problem in combinatorial geometry that sought to determine the ...
The total amount of money invested in the project. The total cost includes EU contribution as well as other project costs not covered by EU funding. It is expressed in euros. Amount of money, by way ...
My primary research interests are in algebra and combinatorics. In particular, I work within the realm of combinatorial representation theory, attempting to connect combinatorial objects (such as ...
In algebraic combinatorics, we are often interested in naturally arising sequences of positive integers because they detect the presence of deep underlying algebraic structure. Proving properties of ...
Semigroup algebras arise by extending an associative semigroup into a linear framework over a chosen field, thereby uniting combinatorial and algebraic perspectives. Central to their study is the ...