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ICACGA is an international conference focused on advanced computational applications of Geometric Algebra (GA) and related hypercomplex algebras such as quaternions and octonions. The reasons for investigating hypercomplex algebras for enabling advanced computational applications and, more specifically, data-centric applications range from theoretical aspects such as the unification of many mathematical systems into one easy-to-understand mathematical framework with an intuitive exploration of geometric objects and geometric operations to computational advantages such as direct integration of GA with standard programming languages, compactness and robustness of algorithms, implicit use of parallelism, and high runtime performance.

GA is equipped with the geometric product, an efficient and complete solution for multiplying vectors in arbitrary dimensions. GA can carry operations with multivectors as well as in any of its subspaces (scalars, vectors, bivectors, pseudoscalars, etc.), which allows one to efficiently represent and solve problems that involve complex numbers, vectors, matrices, lattices, and other algebraic structures, all in one compact mathematical framework.

In recent years, there has been demonstrated that GA can serve as a natural for constructing solutions for pattern recognition, machine learning, data compression, games, robotics, quantum computing, data encoding, to cite a few. However, there is enough evidence that further research on GA and related areas can significantly expand the number of real-world applications in a wide variety of areas.

For the above reasons, ICACGA is committed to encourage, select, recognize and award the most prominent research results associated with GA applied to some form of data-centric solution.

ICACGA is working with key industry players in the fields of design graphics, chip design, semiconductors, parallel and quantum computing to create a bridge between industry and academia as a strong partnership with the goal of channeling forefront academic results into real-world stages.

Special Keynote Speaker

Featuring keynote speaker Dr. David Hestenes, the creator of Geometric Algebra

Important Dates

October 1, 2021Call for Papers
February 1, 2022Paper Submission Deadline
April 15, 2022Author Notification
June 1, 2022Resubmission of Revised Papers
July 15, 2022Final decision notification
July 22, 2022Camera-ready deadline

Suggested Topics

  • Image and Signal Processing
  • Edge Computing
  • Heterogeneous systems
  • Data encoding, storage, and transmission
  • Network and graph computing
  • Computer graphics
  • Data visualization
  • Geometric Deep Learning
  • Cryptography
  • Security and privacy
  • Data compression
  • Quantum computing
  • Navigation and GPS
  • GA implementations

Our Goals

  • Promote the research and development of geometric algebra applied to advanced data processing in an efficient and secure way.
  • Showcase the forefront advances of applied geometric algebra translated to services, algorithms, and a wide variety of enabling technologies.
  • Encourage cooperation between academia and industry towards more efficient data-centric solutions powered by geometric algebra.
  • Give visibility to prominent experimental work based on geometric algebra applied to data-centric technologies.

Scientific Committee

Eckhard Hitzer International Christian University, Tokyo, Japan
Dietmar Hildenbrand Technische Universität Darmstadt, Darmstadt, Germany
Leo Dorst University of Amsterdam, Amsterdam, The Netherlands
Joan Lasenby University of Cambridge, Cambridge, England
Anthony Lasenby University of Cambridge, Cambridge, England
G. Stacey Staples Southern Illinois University, Edwardsville, USA
Sebastià Xambó Technical University of Catalonia, Barcelona, Spain
Petr Vašík Brno University of Technology, Brno, Czech Republic
Rafael Alves Federal University of ABC, São Bernardo do Campo, Brazil

Carlile Lavor University of Campinas, Campinas, Brazil
Andrew Hamilton University of Colorado, Boulder, USA
Alyn Rockwood Boulder Graphics, Boulder, USA
Derek Abbott The University of Adelaide, Adelaide, Australia
Jaroslav Hrdina Brno University of Technology, Brno, Czech Republic
Jonathan Katz University of Maryland, Maryland, USA
Shouhuai Xu University of Colorado, Colorado Springs, USA
Zhaoyuan Yu Nanjing Normal University, Nanjing, China
Eleftheria Makri KU Leuven, Leuven, Belgium

Advisory Committee

Timothy Mattson, Intel, Ilwaco, USA
Chris Doran, University of Cambridge, Cambridge, UK
Sahan Gamage, Arm, Cambridge, UK
Daniel Apon, NIST, Gaithersburg, USA
Marcelo Xavier, Ford Motor Company, Dearborn, USA
Julio Zamora, Intel, Guadalajara, Mexico
Wilder Lopes,, San Francisco, USA

Finance Committee

Sue Doucette, Algemetric
Greg Jones, Algemetric
Kerry Baugh, Rocky Mountain Health Tech Systems
Molly Randolph, M&M Bookkeeping

Organizing Committee

David Silva General Chair, Algemetric
Greg Jones ICACGA Director, Algemetric
Kerry Baugh Event Manager, Rocky Mountain Health Tech Systems
Brittany Hosier Event Coordinator, Rocky Mountain Health Tech Systems