Applied and Computational Homology in Topology, Algebra and Geometry

Scientific and engineering disciplines are in increasing need of efficient computational methods from topology and geometry. In recent years, ideas and methods from algebraic topology and geometry, combined with the development of fast algorithms and user-friendly software, have proven valuable in this endeavor.

ACHTAG Session aims at stimulating and enhancing collaboration between experts in several areas of applied and computational algebraic Topology and Geometry, together with scientists actively working on problems the solution of which might require topological insights and machinery.

The purpose of the ACHTAG Session is to bring together researchers who use algebraic topology or geometry in industrial and applied mathematics. These methods have already seen applications in: medicine, chemistry, human sciences, biology, coding theory, cryptography, combustion, computational geometry, computer graphics, quantum computing, control theory, geometric design, complexity theory, machine learning, nonlinear partial differential equations, optimization, robotics, statistics,...

ACHTAG Session will focus on the following five areas of investigation:

  • Topological Robotics.
  • Topological Data Analysis.
  • Random Topology and Discrete Morse Theory.
  • Symplectic and Arithmetic Applied Geometry.
  • Concurrent Computation and Machine Learning Algorithmic.

We welcome participation from both theoretical mathematical areas and application areas not on this list that fall under this broadly interpreted notion of algebraic topology and geometry and their applications.

Plenary Speakers* :

  • Jacek Brodzki; University of Southampton, U.K.

  • Hellen Colman; Wright College, Chicago, U.S.A.

  • Herbert Edelsbrunner; Institute of Science and Technology Austria, Austria

  • Maia Fraser; University of Ottawa, Canada

  • Kevin Knudson; University of Florida, U.S.A.

  • Ezra Miller; Duke University, U.S.A.

*listed in alphabetical order by family name