Algebraic geometry deals primarily with solutions lying in an algebraically closed field, while arithmetic geometry deals with the more subtle study of solutions lying in a number field or its rings ...

Group members have a variety of interests including combinatorial algebraic geometry, moduli spaces, derived categories, enumerative invariants, mirror symmetry and cluster varieties. Current topics ...

The emphasis is on building conceptual understanding of the mathematics present in the emerging K-8 curriculum and on deepening content knowledge. Number and number systems through the real number ...

Algebraic geometry is a branch of mathematics that studies geometric properties of solutions to polynomial equations. Class field theory, on the other hand, is a significant area in number theory ...

Its modern formulations are wide reaching and have close ties to algebraic geometry, analysis, and group theory; together with computational aspects. Perhaps due to the fundamental and profound nature ...

A local math teacher said building connections with students is her favorite part of the job. Hannah Lasater teaches Algebra ...

He tries to use a variety of tools, both experimental (practical programming with computers) and theoretical (methods from group theory, algebraic geometry, number theory and mathematical logic). He ...

Algebraic groups and representation theory are fundamental areas of mathematics that explore ... intricate connections between algebraic geometry, combinatorics, and category theory, leading ...

To counter this, Virginia Tech mathematicians are leveraging algebraic geometry to target the inefficiencies ... producing," said Gretchen Matthews, mathematics professor and director of the ...