| 2018 | Member, London Mathematical Society (UK) |
| 2018 | Fellow, Institute of Mathematics and its Applications (UK) |
| 2018 | Fellow, Higher Education Academy (UK) |
| 2013 | HZDR Press Release (link) Helmholtz-Zentrum Dresden-Rossendorf (Germany) |
| 2012 | BIRS Workshop Grant Banff International Research Station for Mathematical Innovation and Discovery (Canada) |
| 2010-2011 | Alexander von Humboldt Fellowship Helmholtz-Zentrum Dresden-Rossendorf (Germany) |
| 2010 | Japan Society for the Promotion of Science Fellowship University of Kyushu (Japan) |
| 2009 | Research Highlight (link) Research Center Dresden-Rossendorf (Germany) |
| 2007-2010 | Grant of the German Research Foundation Technical University of Darmstadt (Germany) |
| 2007 | Grant of Saxon Ministry of Science Research Center Dresden-Rossendorf (Germany) |
| 2006 | Entry in Marquis Who’s Who in the World, from 23rd edition |
| 2005 | Entry in Marquis Who’s Who in Science and Engineering, from 8th edition |
| 2005-2007 | Alexander von Humboldt Fellowship University of Hannover and Technical University of Darmstadt (Germany) |
| 2003-2006 | The US Civilian Research and Development Foundation & Russian Federation Ministry of Education BRHE Post-Doctoral Fellowship Lomonosov Moscow State University (Russia) |
| 2003-2005 | Research Grant RFBR Lomonosov Moscow State University (Russia) |
| 2002-2004 | Russian-Chinese Research Grant RFBR-NSFC Dalian Technical University (China) |
| 2002 | Individual grant of the project “Young Scientists of Russia” (Russia) |
| 2001-2002 | INTAS Young Scientists Fellowship Technical University of Denmark (Denmark) |
| 2001 | Press Release of the Lomonosov Moscow State University (Russia) (link) |
| 2001 | Stipend of the Lomonosov Moscow State University for Talented Young Researchers and Teachers (Russia) |
| 2001 | Diploma and Second Prize of the All-Russian Young Scientists Competition on Mechanics and Control dedicated to the 100th Anniversary of A.I. Lurie Russian Academy of Science (Russia) |
| 1999-2000 | Russian-Chinese Research Grant RFBR-NSFC Dalian Technical University (China) |
Dr. Oleg N. Kirillov 