Images from our research

The following images arise from research carried out by the faculty, organized by subfield.

Commutative algebra

Animated monomial diagram

The animated monomial diagram above illustrates the use of the signature-redundant criterion, used to guarantee termination in signature-based algorithms to compute a Gröbner basis.

- John Perry

Graph theory

Graph

The graph above is a counterexample to a conjecture on the size of the neighborhoods of independent sets.

- Jeremy Lyle

Partial differential equations

 

 

Ground state and contour     Ground state and contour

The ground state and contour of the problem Δu + u3 = 0, u > 0, on D,
u = 0 on ∂D with D being a nonconcentric annular domain.

- Haiyan Tian