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- Integrable generalizations of Calogero model (Principal Investigator), State Committee of Science of Armenia 15T-1C367 (2015-2017).
- Supersymmetric integrable models in low dimensions (Principal Investigator), State Committee of Science of Armenia 15RF-039 (2015).
- Regional Training Network in Theoretical Physics (Armenian team leader), Volkswagen Stiftung Contract nr. 86 260 (2012-2017).
- Novel approaches to mesoscopic phenomena, ICTP Network NET-68 (Coordinator).
- Algebraic and geometric properties of (conformal) mechanics with extended supersymmetry (Co-Investigator), Volkswagen Stiftung I/84 496 (2009-2013).
- Novel integrable systems in quantum mechanics (Principal Investigator), State Committee of Science of Armenia 13-1C114 (2013-2015).
- Supersymmetric integrable systems in quantum mechanics, field theory and gravity (Principal Investigator), State Committee of Science of Armenia 13RF-018 (2013-2015).
- Geometric models of two- and one-dimensional integrable systems (Principal Investigator), State Committee of Science of Armenia 11-1c258 (2011-2013).
- Mathematical models for low-dimensional quantum structures in external fields (Principal Investigator), State Committee of Science of Armenia 11AB-001 (2011-2013).
- Algebraic and geometric studies for condensed matter physics, CRDF-NFSAT UC 06/07 (2007-2009).
- Quantum mechanical models for the higher-dimensional Hall effect, CRDF-NFSAT ARP1-3228-YE-04 (2006-2007) (Co-Investigator).
- Extended supersymmetry, strings and noncommutativity in field theory (YSU team leader), INTAS-05-7928.
- Quantization of general gauge theories (JINR team leader) INTAS-00-00262.
- Geometry and Algebraic Structure of Gauge Systems: Theory and Applications (JINR team leader), INTAS-RFBR-95-0829.
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