Peter Van Der Kamp

Dr. Peter Van Der Kamp is a Senior Lecturer in Mathematics at La Trobe University's School of Mathematics & Statistics. His research focuses on integrable systems, particularly algebraic and geometric properties of nonlinear differential and difference equations. He has collaborated extensively on projects involving Poisson algebras, Lotka-Volterra systems, and discrete integrable equations.

Education:

• Doctorandus (Theoretical Physics) from Vrije Universiteit (VU Amsterdam), Netherlands
• PhD (Mathematics) from Vrije Universiteit (VU Amsterdam), Netherlands

Research Interests: Dr. Van Der Kamp's work spans integrable systems, with emphasis on:

• Development of discrete integrable equations
• Analysis of Lotka-Volterra systems and their superintegrability
• Study of Darboux polynomials and preserved measures
• Exploration of boundary conditions in quad equations

His research often intersects nonlinear dynamics, algebraic geometry, and mathematical physics.

Publications Trends: Recent articles highlight advancements in:

• Quadratic Poisson algebras and Lambert W-function solutions
• Trilinear/quadrilinear lattice equations
• Superintegrable tree-systems and their discretizations
• New integrable maps in R^4

Collaborations with experts like Quispel and Nijhoff are central to his work.

Grants:

• Australian Research Council (ARC) Discovery Project: 'Discrete integrable systems' (2011–2015)

Labs/Teams: Active contributor to the La Trobe University Mathematics group, focusing on discrete integrability and nonlinear systems research.