• 1993-Fellowship of Austrian Ministry for Science and Research
  
• 1995-NATO Fellowship in Greece
  
• 1996-NATO Expert visit to Belgium
  
• 1997-CRDF travel grant to the USA
  
• 1998-Co-director of a NATO ARW
  
• 2000- CRDF travel grant to USA
  
• 2000- Japan Society of Promotion of Science Fellow
  
• 2001-Co-director of a NATO ARW
  
• 2001-Chairman of INTAS conference MPS-2002
  
• 2002 -Theam leader of INTAS project 01-0654
  
• 2006 -Theam leader of the RoyalSociety project (UK)
  
• 2014 -Theam leader of the DFG project (Germany)
  
• 2005-Co-director of a NATO ARW
  
• 2007-Co-director of a NATO ARW
  
• 2016-Visiting professor of NCCU (USA)
  
• 2017-Visiting professor of Osaka University (JSPS)
  
• 2018-Visiting professor of Osaka University (Japan)
  
• 2023-2024-Leibniz Professor University of Leipzig ( Germany)
  
• Honored Worker of Science and Technology in Ukraine
  
• Anniversary certificate of honor
  
• - Member of New York Academy of Science
  
• - Member of International Association of Mathematical Physics
  
• - Included in "Who's in Who in the World" 17 Edition