Key research themes
1. How does the principle of congruity explain micro-dynamics in inter-firm alliance formation and collaboration?
This research area investigates the role of congruity theory in understanding the micro-mechanisms guiding cooperation or mutual forbearance during the pre-formation and formation phases of inter-firm alliances. It addresses how mismatched subjective evaluations and cultural mindsets influence partners' attitudes, negotiation power, and the emergence or breakdown of cooperation.
2. What are the theoretical and empirical insights from cognitive consistency and congruity models in consumer behavior and decision-making?
This theme encompasses the cognitive consistency frameworks that explain how individuals strive for equilibrium among cognitions, beliefs, and attitudes, with particular attention to congruity models informing purchase behavior, psychological tension from inconsistent cognitions, and mechanisms of resolving discord, including consumer reactions and behavioral intentions.
3. What are the properties and classification criteria for congruent numbers and their relation to prime numbers and elliptic curves?
This cluster focuses on the classical number theory problem of determining whether a positive integer is a congruent number—that is, the area of a right triangle with rational sides—and its deep connections to elliptic curves, modular forms, and prime classifications. It includes criteria characterizing primes as congruent or non-congruent, density results, conjectural implications, and related Diophantine equations.







