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Mathematics Going Forward

Collected Mathematical Brushstrokes

  • Book
  • © 2023


  • Presents open problems, conjectures and musings on the future of mathematics
  • Collects contributions by leading mathematicians
  • Provides motivation for future research in mathematics

Part of the book series: Lecture Notes in Mathematics (LNM, volume 2313)

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About this book

This volume is an original collection of articles by 44 leading mathematicians on the theme of the future of the discipline. The contributions range from musings on the future of specific fields, to analyses of the history of the discipline, to discussions of open problems and conjectures, including first solutions of unresolved problems. Interestingly, the topics do not cover all of mathematics, but only those deemed most worthy to reflect on for future generations. These topics encompass the most active parts of pure and applied mathematics, including algebraic geometry, probability, logic, optimization, finance, topology, partial differential equations, category theory, number theory, differential geometry, dynamical systems, artificial intelligence, theory of groups, mathematical physics and statistics.

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Table of contents (44 chapters)

  1. Algebraic Geometry

  2. Dynamical Systems

  3. Finance

  4. Geometry

Editors and Affiliations

  • CMLA, École Normale Supérieure, Cachan CX, France

    Jean-Michel Morel

  • Université Paris Cité and Sorbonne Université, CNRS, IMJ-PRG, F-75013, Paris, France

    Bernard Teissier

About the editors

Jean-Michel Morel is professor of mathematics at Ecole Normale Supérieure Paris-Saclay.  He works on theories and algorithms for the restoration and automatic analysis of digital images and video.

Bernard Teissier is Emeritus Director of Research of CNRS at the Institut Mathématique de Jussieu-Paris Rive Gauche. His research interests center on the algebra and geometry of singularities in algebraic and analytic geometry.

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