Теория струн, квантовая теория поля, квантовая гравитация, топология, пространства модулей, комбинаторика.
Основные публикации:
E.T. Akhmedov, “Toward a theory of non-Abelian tensor fields”, Theor. Math. Phys., 145:3 (2005), 1646–1665; Teor. Mat. Fiz., 145:3 (2005), 321–343
E.T. Akhmedov, “The theory of non-Abelian tensor fields: Gauge transformations and curvature”, Theor. Math. Phys., 147:1 (2006), 509–523; Teor. Mat. Fiz., 147:1 (2006), 73–91
E.T. Akhmedov, D. Singleton, “On the physical meaning of the Unruh effect”, JETP Lett., 86:9 (2008), 615–619; Pisma Zh. Eksp. Teor. Fiz., 86:9 (2007), 702–706
E.T. Akhmedov, D. Singleton, “On the relation between Unruh and Sokolov-Ternov effects”, Int. J. Mod. Phys. A, 22:26 (2007), 4797–4823
E.T. Akhmedov, “Expansion in Feynman graphs as simplicial string theory”, JETP Lett., 80 (2004), 218–225; Pisma Zh. Eksp. Teor. Fiz., 80 (2004), 247–254
; Teor. Mat. Fiz., 145:3 (2005), 
; Pisma Zh. Eksp. Teor. Fiz., 86:9 (2007), 
