• 4 = 2 × 2, or the Power of Even Integers in Fourier Analysis 

      [SNAP-2023-006-EN] Negro, Giuseppe; Oliveira e Silva, Diogo (Mathematisches Forschungsinstitut Oberwolfach, 2023-12-30)
      We describe how simple observations related to vectors of length 1 recently led to the proof of an important mathematical fact: the sharp Stein–Tomas inequality from Fourier restriction theory, a pillar of modern harmonic ...
    • Finite geometries: pure mathematics close to applications 

      [SNAP-2021-010-EN] Storme, Leo (Mathematisches Forschungsinstitut Oberwolfach, 2021-09-22)
      The research field of finite geometries investigates structures with a finite number of objects. Classical examples include vector spaces, projective spaces, and affine spaces over finite fields. Although many of these ...
    • Randomness is Natural - an Introduction to Regularisation by Noise 

      [SNAP-2024-002-EN] Djurdjevac, Ana; Elad Altman, Henri; Rosati, Tommaso (Mathematisches Forschungsinstitut Oberwolfach, 2024-05-22)
      Differential equations make predictions on the future state of a system given the present. In order to get a sensible prediction, sometimes it is necessary to include randomness in differential equations, taking microscopic ...
    • Route planning for bacteria 

      [SNAP-2022-012-EN] Hellmuth, Kathrin; Klingenberg, Christian (Mathematisches Forschungsinstitut Oberwolfach, 2022-12-08)
      Bacteria have been fascinating biologists since their discovery in the late 17th century. By analysing their movements, mathematical models have been developed as a tool to understand their behaviour. However, adapting ...
    • Voronoi Cells: Or How to Find the Nearest Bakery 

      [SNAP-2024-003-EN] Hess, Sarah; Torres, Angélica; van der Eyden, Mirte (Mathematisches Forschungsinstitut Oberwolfach, 2024-09-05)
      Deciding which mall, hospital or school is closest to us is a problem we face everyday. It even comes on holidays with us, when we optimize our plans to make sure that we have enough time to visit all the attractions we ...