Prof. Dr. Dorin Popescu

E-mail: dorin.m.popescugmail.com

Interes stiintific: module Cohen-Macaulay, combinatorica in algebra comutativa, teoria aproximarii Artin.


Interesul meu stiintific principal este in algebra comutativa si aplicatiile ei. Cele mai importante aplicatii ale algebrei commutative sunt in geometria algebrica, in special in teoria singularitatii, in teoria numerelor si in combinatorica. Temele principale in care sunt interesat sunt: conjectura Stanley asupra idealelor monomiale, proprietati tare Lefschetz ale intersectiilor complete de ideale, clasificarea modulelor Cohen-Macaulay maximale peste singularitati care nu sunt simple, proprietatea aproximarii Artin pe inele care nu sunt Noetheriene.

Publicatii selectate

1. Die strenge Approximationseigenschaft lokaler Ringe (cu G. Pfister), Inventiones Math. 30 (1975), 145-174.
2. General Neron desingularization, Nagoya Math. J. 100 (1985), 97-126.
3. Polynomial rings and their projective modules, Nagoya Math. J. 113 (1989), 121-128.
4. Maximal Cohen-Macaulay modules over the cone of an elliptic curve (cu R. Laza, G. Pfister), J. Algebra 253 (2002), 209-236.
5. Hibert functions and generic forms (cu J.Herzog), Compositio Math. 113 (1998), 1-22.
6. Stanley depth of multigraded modules, J. Algebra 321 (2009), 2782-2797.
7. Stanley depth and size of a monomial ideal, (cu J. Herzog si M. Vladoiu) , Proceedings of AMS 140 (2012), 493-504.

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