- 2022 - 2027 Comprehensive study of various geometries with harmonic maps to symmetric spaces as a core
- 2018 - 2022 Fusion of discrete and smooth integrable geometry
- 2014 - 2018 A Weierstrass type representation for surfaces via loop group method and its applications
- 2013 - 2018 Systematic development and application of methods in differential geometry and integrable systems motivated by quantum cohomology
- 2009 - 2012 Exploitation of new relations between differential geometry and quantum cohomology in the context of integrable systems
- 2011 - 2011 Construction of surfaces via complexifications of loop groups
- 2008 - 2011 Asymptotic behavior of surfaces with special properties via transformation theory and conserved quantities and integrable systems techniques
- 2008 - 2010 A construction of surfaces in spaces of constant curvature via integrable system method
- 2006 - 2009 Differential geometric researches on surfaces in a space of constant curvature and their singularities
- 2006 - 2008 Research on quantum cohomology, Frobenius manifolds, and harmonic maps related to integrable systems
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