Peter van Hintum

Mathematics at ETH Zürich

Peter
van Hintum

I work in additive combinatorics and convex geometry, especially stability of geometric inequalities and the structure of sets with small sumsets.

Hermann Weyl Instructor, ETH Zürich

If you have thoughts, comments or would like to discuss mathematics, please get in touch at peter.vanhintum@math.ethz.ch.

Portrait of Peter van Hintum
A mathematical diagram from the recorded talk

A way into my work

Stability of Geometric Inequalities: Continuous and Discrete Perspectives

This IAS talk gives an introduction to the continuous and discrete questions behind my research.

Watch on YouTubeAll recorded talks

Research

Geometry through addition

One part of my work asks what near equality in the Brunn–Minkowski, Prékopa–Leindler and Borell–Brascamp–Lieb inequalities tells us about the structure of the underlying sets or functions.

Another part concerns additive structure in discrete settings, including small sumsets, convex progressions and discrete analogues of geometric inequalities.

Writing

Recent papers

All publications

  1. 2026The sharp threshold for Hausdorff convexification under Minkowski addition
  2. 2026Locality in Sumsets
  3. 2025From Brunn–Minkowski to Prékopa–Leindler and Borell–Brascamp–Lieb: discrete inequalities
  4. 2025Sharp Quantitative Stability for the Prékopa–Leindler and Borell–Brascamp–Lieb Inequalities
  5. 2025Additive Bases: Change of Domain
  6. 2025On Ruzsa's discrete Brunn–Minkowski conjecture
  7. 2024Sharp stability of the Brunn–Minkowski inequality via optimal mass transportation
  8. 2024The sharp doubling threshold for approximate convexity
  9. 2024Sharp bounds for a discrete John's theorem
  10. 2024Towards Hadwiger's Conjecture via Bourgain Slicing
  11. 2024Inversion of Bayesian Networks
  12. 2024Sharp quantitative stability of the planar Brunn–Minkowski inequality
  13. 2023Sharp quantitative stability of the Brunn–Minkowski inequality
  14. 2023Sets in ℤᵏ with doubling 2ᵏ + δ are near convex progressions
  15. 2023Sharp L¹ Inequalities for Sup-Convolution
  16. 2022Sharp stability of Brunn–Minkowski for homothetic regions
  17. 2022Capture times in the bridge-burning Cops and Robbers game
  18. 2022Radius, girth and minimum degree
  19. 2021The Eternal Game Chromatic Number of Random Graphs
  20. 2021The (t,r) broadcast domination number of some regular graphs
  21. 2020Improved Bound for Tomaszewski's Problem
  22. 2019The bunkbed conjecture on the complete graph
  23. 2019Locally biased partitions of ℤⁿ

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