About

My favourite question is the toddler's 'But why?'. 
The universe has yet to provide a satisfactory answer. 
Letting my curiosity guide me, I have found myself on 
a fantastical journey through the vast and fractal 
landscape of mathematics. And that journey is what 
'But why?' is all about, not some mystical destination. 
Understanding, not mere collection of facts.

My research branches out from Strict Deformation Quantization, 
which on a technical level boils down to the convergence for 
vector-valued power series. As such, my toolbox contains much 
of locally convex functional analysis, a great deal of complex 
analysis and scattered fragments of algebra providing guidance 
and structure. Moreover, Lie groups and their representation 
theory have provided a fruitful setting with numerous worthwhile 
'But why?'s of their own. When nobody is looking, I replace 
finite-dimensional objects with their infinite-dimensional counterparts.

In my non-mathematical time, I consume unwise 
amounts of fantasy and science fiction, and 
challenge myself with board as well as video games.

Coordinates

Institute of Applied Mathematics
Delft University of Technology
Mekelweg 4
2628 CD Delft
Netherlands

Mail

  michael[dot]heins[dot]mathematics[at]gmail[dot]com
  or
  mheins[at]tudelft[dot]nl

Schematic Picture

Preprints

1. M. Heins, Boundedness in Strict Deformation Quantization arxiv:2609.16250
2. C. Esposito, M. Heins, S. Waldmann, Convergent Twist Deformations arxiv:2602.16593
3. M. Heins, Entire Functions on Lie Groups arxiv:2512.07479

Journal Articles

1. M. Heins, O. Roth and S. Waldmann, Convergent star products on cotangent bundles of Lie groups, Math. Ann. 386, 2023, 151–206, see arXiv:2107.14624.
2. M. Heins, A. Moucha and O. Roth, Spectral theory of the invariant Laplacian on the disk and the sphere – a complex analysis approach, Canadian Journal of Mathematics, 77(3), 2025, 940–974, see arXiv:2308.01107
3. M. Heins, A. Moucha, O. Roth and T. Sugawa, Peschl-Minda derivatives and convergent Wick star products on the disk, the sphere and beyond, J. d'Analyse Math. 157, 2025, 361–400, see arXiv:2308.01101
4. M. Heins, A. Moucha and O. Roth, Function Theory off the complexified unit circle: Fréchet space structure and automorphisms, Annales Fennici Mathematici 49.1, 2024, see doi:10.4153/S0008414X2400021X

Thesis

M. Heins, A Holomorphic perspective of Strict Deformation Quantization, 2024, PhD thesis, Julius-Maximilians-Universität Würzburg, see arXiv:2504.12862

Lecture Notes

Locally Convex Analysis in Differential Geometry

Slides

Convergent Twist Deformations