Primarni interesi:
komutativna algebra (MSC 13D, 13E), linearna algebra (MSC 15), upodobitve grup (MSC 20B), teorija polgrup (MSC 20M), funkcionalna analiza (MSC 46B), teorija operatorjev (MSC 47B)
Sekundarni interesi:
asociativna algebra (MSC 16), neasociativna algebra (MSC 17B, 17C), teorija mere (MSC 28B, 28D), verjetnost (MSC 60J), numerična analiza (MSC 65D), matematično programiranje (MSC 90C)
Osem najljubših člankov:
1. M. Omladič, On operators preserving commutativity, J. Funct. Anal. 66 (1986) 105-122
2. M. Omladič, On n-spectral operators, Rev. Roum. Math. Pures Appl. 32 (1987) 451-464
3. M. Omladič, P. Šemrl, On the distance between normal matrices, Proc. Amer. Math. Soc. 110 (1990) 591-596
4. M. Omladič, Average quadrature formulas of Gauss type, IMA J. Numer. Anal. 12 (1992) 189-199
5. L. Grunenfelder, M. Omladič, Linearly recursive sequences and factorisation of operator polynomials, Lin. Alg. Appl. 182 (1993) 127-145
6. M. Omladič, P. Šemrl, On nonlinear perturbations of isometries, Math. Annalen 303 (1995), 617-628.
7. M. Omladič, H. Radjavi, Irreducible semigroups with multiplicative spectral radius, Lin. Alg. Appl. 251 (1997), 59-72.
8. L. Grunenfelder, M. Omladič, Ascent and descent for finite sequences of commuting endomorphisms, Pacific J. Math.