Dr. Elias Zafiris




Department of Mathematics, University of Athens,
Panepistimioupolis, Zografou 157 84, Athens, Greece
e-mail


Research Interests

• Quantum and Gravitational Physics
• Quantum Gravity
• Topos Theory - Sheaf Theory
• Modern Differential Geometry
• Algebraic Complex Systems

Curriculum vitae and list of publications in English and in Hellenic.


Selected publications

• Quantum Event Structures from the Perspective of Grothendieck Topoi, Foundations of Physics 34 (7), (2004) - pdf
  
  
• Boolean Coverings of Quantum Observable Structure: A Setting for an Abstract Differential Geomatric Mechanism, Journal of Geometry and Physics 50, 99 (2004) - pdf
  
  
• Complex Systems from the Perspective of Category Theory: I. Functioning of the Adjunction Concept , Axiomathes 15 (1), (2005) - pdf
  
  
• Complex Systems from the Perspective of Category Theory: II. Covering Systems and Sheaves , Axiomathes 15 (2), (2005) - pdf
  
  
• Generalized Topological Covering Systems on Quantum Events' Structures , Journal of Physics A: Mathematical and General 39, (2006) - pdf
  
  
• Sheaf-Theoretic Representation of Quantum Measure Algebras , Journal of Mathematical Physics 47, (2006) - pdf
  
  
• Category-Theoretic Analysis of the Notion of Complementarity for Quantum Systems, International Journal of General Systems 35 (1) (2006) - pdf
  
  
• Topos-Theoretic Classification of Quantum Events Structures In Terms of Boolean Reference Frames, International Journal of Geometric Methods in Modern Physics 3, (8) (2006) - pdf
  
  
• Quantum Observables Algebras and Abstract Differential Geometry: The Topos-Theoretic Dynamics of Diagrams of Commutative Algebraic Localizations , International Journal of Theoretical Physics 46 (2), (2007) - pdf
  
  
• Topos-Theoretic Relativization of Physical Representability and Quantum Gravity , gr-qc/0610113, (2007) - pdf
  
  
• A Sheaf-Theoretic Topos Model of the Physical Continuum and its Cohomological Observable Dynamics , International Journal of General Systems 38 (1), (2009) - pdf
  
  
• Boolean Information Sieves: A Local-to-Global Approach to Quantum Information , International Journal of General Systems 39 (8), (2010) - pdf
  
  
• The Homological Kahler-De Rham Differential Mechanism: I. Application in General Theory of Relativity , Advances in Mathematical Physics, doi:10.1155/2011/191083, (2011) - pdf
  
  
• The Homological Kahler-De Rham Differential Mechanism: II. Sheaf-Theoretic Localization of Quantum Dynamics , Advances in Mathematical Physics, doi:10.1155/2011/189801, (2011) - pdf
  
  

Detailed Research Statement - pdf