ALEXANDRU CONSTANTINESCU

I am a guest professor at the Mathematics Institute of the Freie Universität Berlin.
My research is at the interface of commutative algebra, algebraic geometry, and combinatorics.

I obtained a bachelor's degree in mathematics in Bucharest, my home town. In 2005 I moved to Genova where I did my Ph.D with Aldo Conca. I then joined Elisa Gorla's SNSF research group in Switzerland. I joined Klaus Altmanns algebraic geometry group in 2013 and Berlin has been my home since. (CV)

Freie Universität Berlin
Büro: 008
Arnimalle 3,
D-14195 Berlin, Germany

Tel: +49 30 838 75371

alexandru.constantinescu"a"fu-berlin.de

Latest page update:

CURRENT TEACHING


Sommer '23: Mathematik Entdecken 2    Geometrie
Winter '22/'23: Mathematik Entdecken 1

CURRICULUM VITAE

ALEXANDRU CONSTANTINESCU
Born in 1981 in Bucharest

Romanian and German citizen

Married, two daughters
Education German Habilitation for Mathematics from the Freie Universität Berlin (2020)

Thesis: Hilbert Functions: a connection between algebra, geometry and combinatorics (pdf)
Ph.D. in Mathematics from the University of Genova (2009)
Thesis: Combinatorical Structures, Lefschetz Properties, and Parametrizations of Algebras (pdf)
Advisor: Aldo Conca
Bachelor's degree in Mathematics from the University of Bucharest (2004)
Thesis: The Birational Classification of Smooth Projective Surfaces
Advisor: Paltin Ionescu
Employment Freie Universität Berlin
guest professor
since 2019
Freie Universität Berlin BMS-subsitute professor 2018
Università di Genova INdAM-Marie Curie fellow 2016-2018
Freie Universität Berlin postdoc 2013-2016
Univeristé de Neucâtel postdoc 2012-2013
Universität Basel postdoc 2010-2012
Università di Genova assegnista di ricerca 2009-2010
Insitutul de Matematica al
Academiei Române
research assistant since 2006, currently on leave
Publication record 18 published papers, 1 submitted paper, 2 in preparation.
Some coauthors Klaus Altmann, Bruno Benedetti, Giulio Caviglia, Emanuela DeNegri, Matej Filip, Elisa Gorla, Joachim Jelisiejew, Thomas Kahle, Nam Le Dinh, Matey Mateev, Matteo Varbaro
Research interests Hilbert schemes of points

deformation theory

Gröbner bases

Stanley-Reisner rings

toric geometry

free resolutions

Castelnuovo-Mumford regularity

arithmetic rank

Hilbert functions

algebras with straightening laws

vertex cover algebras

simplicial and polytopal complexes

matroids

h-vectors & f-vectors

pure O-sequences

Gorenstein liaison

Lefschetz properties

balanced simplicial complexes

Coxeter groups

Languages


Romanian ⋆ ⋆ ⋆ ⋆ ⋆+
English ⋆ ⋆ ⋆ ⋆ ⋆
German ⋆ ⋆ ⋆ ⋆ ⋆
Italian ⋆ ⋆ ⋆ ⋆
French ⋆ ⋆ ⋆

PUBLICATIONS

  1. Altmann K., Constantinescu A., Filip M., Polyhedra, Lattice Structures, and Extensions of Semigroups (pdf)
    Journal of the London Mathematical society vol 106 (4), pp. 3938—4008, (2022).

  2. Altmann K., Constantinescu A., Filip M., Versality in Toric Geometry (pdf)
    Journal of Algebra, vol. 609, pp. 1—43, (2022)

  3. Constantinescu A., De Negri E., Varbaro M. Singularities and Radical Initial Ideals (pdf)
    Bulletin of the London Mathematical Society, vol. 52 (4). pp. 674—686, (2020)

  4. Constantinescu A., Kahle T., Varbaro M., Linear Syzygies, Hyperbolic Coxeter Groups, and Regularity (pdf)
    Compositio Mathematica, vol. 502, Issue 6, pp. 1076—1097, (2019)

  5. Constantinescu A., Gorla E., Gorenstein Liaison for Toric Ideals of Graphs (pdf)
    Journal of Algebra, vol. 502, pp. 249—261, (2018)

  6. Constantinescu A., Varbaro M., h-vectors of matroid complexes (pdf)
    Proceedings of CoMeTA 2013, Springer INdAM series, pp. 203—227, (2015)

  7. Constantinescu A., Kahle T., Varbaro M., Linear syzygies, flag complexes, and regularity (pdf)
    Collectanea Mathematica, pp. 1—6, doi: 10.1007/s13348-015-0141-3 (2015)

  8. Constantinescu A., Mateev M., Hilbert Functions of Standard Determinantal Varieties (pdf)
    Journal of Pure and Applied Algebra, 219, pp. 3873—3888, (2015)

  9. Constantinescu A., Pournaki M.R., Seyed Fakhari S.A., Terai N., Yassemi S.
    Cohen-Macaulayness and Limit Behaviour of Depth for Powers of Cover Ideals (pdf)
    Communications in Algebra, 43, No. 1, pp. 143—157 (2015)

  10. Constantinescu A., Kahle T., Varbaro M., Generic and special constructions of pure O-sequences (pdf)
    Bulletin of the London Mathematical Society, vol 46, (5). pp. 924—942, (2014)

  11. Caviglia G., Constantinescu A., Varbaro M., Note on a conjecture by Kalai (pdf)
    Israel Journal of Mathematics, 0021—2172, pp. 1—7, (2014)

  12. Constantinescu A., Varbaro M., On the h-vectors of Cohen-Macaulay Flag Complexes (pdf)
    Mathematica Scandinavica, vol. 112, issue 1, pp. 87—111, (2013)

  13. Constantinescu A., Veronese Algebras and Modules of Rings with Straightening Laws (pdf)
    Journal of Commutative Algebra, vol. IV, issue 2, pp. 229—254, (2012)

  14. Constantinescu A., Parametrizations of Ideals of k[x; y] and k[x; y; z] (pdf)
    Journal of Algebra, vol. 346, issue 1,  pp. 1—30, (2011)

  15. Constantinescu A., Varbaro M., Koszulness, Krull Dimension and Other Properties of Graph-Related Algebras (pdf)
    Journal of Algebraic Combinatorics, vol. 34, issue 3, pp. 375—400, (2011)

  16. Constantinescu A., Le Dinh N., The Standard Graded Property for Vertex Cover Algebras of Quasi-Trees (pdf)
    Le Matematiche, vol. LXIII, issue II, pp. 173—183, (2008)

  17. Benedetti B., Constantinescu A., Varbaro M.,
    Dimension, Depth and Zero-Divisors of the Algebra of Basic k-Covers of a Graph (pdf)
    Le Matematiche, vol. LXIII, issue II, pp. 117—156, (2008)

  18. Constantinescu A., Hilbert Function and Betti Numbers of Algebras with Lefschetz Property of Order m (pdf)
    Communications in Algebra, vol. 36, issue 12, pp. 4704—4720, (2008)

  19. PREPRINTS

  20. Constantinescu A., Bitsch W., Cotangent Cohomology for Matroids (pdf)
    arXiv:2204.05777
  21. IN PREPARATION

  22. Constantinescu A., Deliu D., Jelisiejew J., Extension Algebras and the Hilbert Scheme of Points in the Plane

  23. Constantinescu A., Rossi M.E., Tozzo L., Matlis Duality and Gorenstein Linkage of Points in 3-space