Research
My research interests are algebraic geometry, computational and applied algebra. More specifically I am working on algebraic-geometric methods used in optimization, statistics, and topology.
Editorial work
I am one of the managing editors of the journal Acta Universitatis Sapientiae, Mathematica. It is a general-purpose mathematics journal where you are invited to submit your finest and newest work.
Preprints
E. Horobeț, Ettore Teixeira Turatti, When does subtracting a rank-one approximation decrease tensor rank?, arXiv:2303.14985, 2023.
Published or accepted papers
E. Horobeț, The critical curvature degree of an algebraic variety, Journal of Symbolic Computation, Volume 121, March–April 2024, 102259.
E. Horobeț, J. I. Rodriguez, Data loci in algebraic optimization, Journal of Pure and Applied Algebra, Volume 226 (2022), Issue 12, Page 107144
E. Horobeț, M. Weinstein, Offset Hypersurfaces and Persistent Homology of Algebraic Varieties, Computer Aided Geometric Design, Volume 74 (2019), Page 101767
A. Boralevi, J. Draisma, E. Horobeț, E. Robeva, Orthogonal and unitary tensor decomposition from an algebraic perspective, Israel J. Math., 222 (2017), 223-260
E. Horobeț, The Data Singular and the Data Isotropic Loci for Affine Cones, Comm. Algebra, Volume 45 (2017), Issue 3,1177 – 1186
E. Horobeț, J. I. Rodriguez, The Maximum Likelihood Data Singular Locus, J. Symbolic Comput., Volume 79 (2017), Part 1, 99–107
J. Draisma, E. Horobeț, The average number of critical rank-one approximations to a tensor, Linear Multilinear Algebra, Volume 64 (2016), Issue 12, 2494 - 2514
R. H. Eggermont, E. Horobeț, K. Kubjas, Algebraic boundary of matrices of nonnegative rank at most three, Linear Algebra Appl., Volume 508 (2016), 62-80
E. Horobeț, An algorithm to construct the basic algebra of a skew group algebra, Math. Rep. , 18(68), No. 3 (2016), 403-416
J. Draisma, E. Horobeț, G. Ottaviani, B. Sturmfels, R. R. Thomas, The Euclidean Distance Degree of an Algebraic Variety, Found. Comput. Math., Volume 16, Issue 1(2016), 99-149
J. Draisma, E. Horobeț, G. Ottaviani, B. Sturmfels, R.R. Thomas, The euclidean distance degree, SNC'14 Proceedings of the 2014 Symposium on Symbolic-Numeric Computation, pp. 9-16, ISBN: 978-1-4503-2963-7, DOI: 10.1145/2631948.2631951
E. Horobeț, Galois covering and smash product of skew categories, Acta Univ. Sapientiae, Mathematica, 5, No. 1 (2013), 47–53
E. Horobeț, Orbit decomposition of skew group algebras, Mathematica, Tome 53(76), No. 2 (2011), 143 - 148
Books/Book chapters/Surveys/Theses
E. Horobeț, Absztrakt és lineáris algebra (informatikus hallgatóknak), Letras Publishing, Romania, 2021, ISBN: 978-60-607-1605-1
Cs. Farkas, E. Horobeț, Sz. Szász, Cs. Tóth, XVIII. Nemzetközi Magyar Matematikaverseny: Feladatok és megoldások, Editura Mentor, Romania, 2019, ISBN: 978-606-8861-31-9
E. Horobeț, Tensors of low rank, Eindhoven University of Technology Library, The Netherlands, 2016, ISBN: 978-90-386-4065-5
E. Horobeț, Representation theory of skew group algebras, LAP LAMBERT Academic Publishing, 2011, ISBN: 978-38-465-4377-1
Computational
Macaulay2 computations for the article Data loci in algebraic optimization