Brett Parker

Dr. Brett Parker is a Postdoctoral Research Fellow at the Mathematical Sciences Institute of The Australian National University. His research focuses on mathematical physics, differential geometry, topology, and symplectic topology, with a particular emphasis on tropical geometry and exploded manifolds. Parker earned his PhD from Stanford University and has contributed significantly to the formulation of Gromov-Witten invariants using tropical geometry techniques.

His work bridges algebraic geometry and symplectic topology by studying degenerations of holomorphic curves into tropical curves. Key contributions include the development of exploded manifolds as a foundational framework for analyzing these degenerations. Recent research explores enumerative geometry in blowups of complex projective spaces and tropical correspondence theorems in three dimensions.

Parker has published extensively since 2005, with notable articles on tropical gluing formulae, compactness theorems for holomorphic curves, and De Rham theory in exploded manifolds. His publications reflect a deep integration of algebraic, geometric, and topological methods to advance our understanding of symplectic structures and enumerative invariants. While no scientific awards are explicitly listed, his work has been cited over 73 times, highlighting its impact in the field.

He is registered to supervise research students and collaborates internationally on projects involving log geometry and tropical geometry applications. His research is grounded in foundational work on exploded manifolds, which provide a novel categorical framework for tackling complex geometric problems.