Ivan Minchev Minchev

Ivan Minchev Minchev is an Associate Professor at the Faculty of Mathematics and Informatics, University of Sofia, specializing in differential geometry and quaternionic structures. He serves as Vice-dean for Bachelor's Degree Programs and Postgraduate Qualification in Geometry. His research focuses on geometric analysis, mathematical physics, and special geometries.

Research Interests: Dr. Minchev's work centers on quaternionic contact manifolds, twistor spaces, and geometric PDEs. His collaborative studies with S. Ivanov, D. Vassilev, and Jan Slovák explore Einstein structures, Yamabe problems, and subelliptic equations on Heisenberg groups.

Publication Trends: His publications (2004-2022) reveal a sustained focus on quaternionic geometry, twistor theory, and geometric inequalities. Key contributions include advancements in Yamabe equations, extremal Sobolev functions, and existence criteria for special geometric structures.