Douwe Hoekstra
Photo of Douwe Hoekstra

I am a PhD candidate at the Utrecht Geometry Centre under the supervision of Dr. Álvaro del Pino Gómez. My work focusses on the h-principle and in particular convex integration as a method to prove h-principles.

My interests lie more generally within the field of geometric/differential topology. The line between geometric topology, differential topology and differential geometry is blurry and the different fields have an important interplay, but at its simplest I am interested in the interplay between the geometric structure on a manifold and the underlying topology of the manifold (or other spaces associated to the geometric structure). To name a few examples in this spirit:

  • The de Rham isomorphism theorem
  • Morse functions
  • Myers’ theorem: complete Riemannian manifolds with positive Ricci curvature are compact
  • Smale-Hirsch immersion theorem & Smale’s sphere eversion

See the contact section for information on how to get in touch.

Education

Publications

  1. Douwe Hoekstra and Florian Zeiser, “Poisson cohomology of 3D Lie algebras”. In: Journal of Geometry and Physics 191 (2023). arXiv:2122.04122.

Teaching

  • Lecturer for Proofs in Mathematics (Utrecht University, Fall 2025)
  • TA for Analysis in several variables (Utrecht University, Summer 2025)
  • TA for Topology and Geometry (Utrecht University, Spring 2025)
  • TA for Introduction to Topology (Utrecht University, Winter 2024)
  • TA for Calculus B (Radboud University Nijmegen, Spring 2024)
  • TA for Group Theory (Radboud University Nijmegen, Spring 2024)
  • TA for Poisson Geometry (Radboud University Nijmegen, Fall 2023)
  • TA for Functional Analysis (Radboud University Nijmegen, Fall 2021)

Notes

Ancillary activities

Contact

You can reach me at math [at] dhoekstra.xyz or at my work mail, d.hoekstra [at] uu.nl.

My work address is:

Hans Freudenthal building
Room 8.04
Budapestlaan 6
3584 CD Utrecht
The Netherlands

Other web presence

You can also find me here online: