Super Curves

Algebraic geometry describes the relationship between algebra and geometry. In this project, we aim to explore how geometric problems translate to algebraic problems, and we introduce the notion of Grassmann algebras to explore how the answers to geometric problems differ in anti-commutative spaces.

Specifically, we aim to consider the problem of determining the degree of a map between algebraic curves, its algebraic equivalent, and how one might pose a related question in the super case.

Miles Koumouris

The University of Melbourne

Miles Koumouris is a mathematics and statistics student at the University of Melbourne. His research interests include probability, stochastic processes, geometry and topology. Miles runs a successful tutoring business, and engages in collaborative problem-solving for competition and leisure. In his spare time, he enjoys playing the trumpet and coaching for We Are Tennis.

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