1. Brownian geometry

   • Jean-François Le Gall

   Special Feature: The Takagi Lectures 27 May 2019 Pages: 135 - 174

2. The twin prime conjecture

   • James Maynard

   Special Feature: The Takagi Lectures 21 June 2019 Pages: 175 - 206

3. Abundance of minimal surfaces

   • Fernando Codá Marques

   Special Feature: The Takagi Lectures 21 June 2019 Pages: 207 - 229

4. Singularities in mixed characteristic. The perfectoid approach

   • Yves André

   Special Feature: The Takagi Lectures 30 May 2019 Pages: 231 - 247

5. An operadic approach to vertex algebra and Poisson vertex algebra cohomology

   • Bojko Bakalov
   • Alberto De Sole
   • Victor G. Kac

   Original Paper 21 June 2019 Pages: 249 - 342