• Algebras and Quantum Games 

      [SNAP-2023-004-EN] Paulsen, Vern I. (Mathematisches Forschungsinstitut Oberwolfach, 2023-11-28)
      Everyone loves a good game, but when the players can access the counterintuitive world of quantum mechanics, watch out!
    • Random matrix theory: Dyson Brownian motion 

      [SNAP-2020-002-EN] Finocchio, Gianluca (Mathematisches Forschungsinstitut Oberwolfach, 2020-04-15)
      The theory of random matrices was introduced by John Wishart (1898–1956) in 1928. The theory was then developed within the field of nuclear physics from 1955 by Eugene Paul Wigner (1902–1995) and later by Freeman John ...
    • Rotating needles, vibrating strings, and Fourier summation 

      [SNAP-2020-006-EN] Zahl, Joshua (Mathematisches Forschungsinstitut Oberwolfach, 2020-09-21)
      We give a brief survey of the connection between seemingly unrelated problems such as sets in the plane containing lines pointing in many directions, vibrating strings and drum heads, and a classical problem from Fourier analysis.
    • Searching for the monster in the trees 

      [SNAP-2022-003-EN] Craven, David A. (Mathematisches Forschungsinstitut Oberwolfach, 2022-04-13)
      The Monster finite simple group is almost unimaginably large, with about 8 × 1053 elements in it. Trying to understand such an immense object requires both theory and computer programs. In this snapshot, we discuss finite ...
    • Seeing through rock with help from optimal transport 

      [SNAP-2022-004-EN] Frederick, Christina; Yang, Yunan (Mathematisches Forschungsinstitut Oberwolfach, 2022-05-06)
      Geophysicists and mathematicians work together to detect geological structures located deep within the earth by measuring and interpreting echoes from manmade earthquakes. This inverse problem naturally involves the ...
    • A surprising connection between quantum mechanics and shallow water waves 

      [SNAP-2019-018-EN] Fillman, Jake; VandenBoom, Tom (Mathematisches Forschungsinstitut Oberwolfach, 2019-12-11)
      We describe a connection between quantum mechanics and nonlinear wave equations and highlight a few problems at the forefront of modern research in the intersection of these areas.
    • A tale of three curves 

      [SNAP-2022-010-EN] Balakrishnan, Jennifer S. (Mathematisches Forschungsinstitut Oberwolfach, 2022-10-27)
      In this snapshot, we give a survey of some problems in the study of rational points on higher genus curves, discussing questions ranging from the era of the ancient Greeks to a few posed by mathematicians of the 20th ...