Full Professor (L. 240)
Department of Mathematical Sciences (DISMA)
Profile
Research interests
Biography
Degree * 1999 "Laurea in Matematica", University di Genova * 2004 "Dottorato di Ricerca in Matematica e Calcolo Scientifico"(Ph. D.), Unversita' di Pavia Scholarships *2001-2002 Marie Curie fellow Grants *2007 "Giovani Ricercatori" grant of the Politecnico di Torino Career * since 2007 Ricercatore Universitario (Tenured Assistant Professor) at the Department of Mathematics of the Politecnico di Torino * 2004-2007 Assegnista di Ricerca (Post Doctoral fellow) Department of Mathematics of the Politecnico di Torino Visiting * 2008, September-December, Visiting Scholar at the Department of Mathematics and Statistic of Queen's University, Ontario, Canada * 2007, January-February, Visiting Scholar at IMA(Institute for Mathematics and its Applications), Minneapolis, Minnesota, USA. * 2001-2003, study period at the Matematisk Institutt of Oslo Universitet, Oslo, Norway. Research interests * Algebraic Geometry: secant varieties of classical algebraic varieties, intersection properties of rational normal curves, complete intersection on hypersurfaces * Computational ALgebra: presentation of polynomials, reduction of the number of variables of a polynomial * Algebraic Statistic: contingency tables, independence models and their generalizations Organizing activity * 2007, local organizers of the workshop ESF(European Science FOundation): Multivariate Interpolation - Its Relation To Algebraic Statistics, Classical Algebraic Geometry And Computational Complexity Theory Other: * referee for Canadian Journal of Mathematics * reviewer for the AMS (American Mathematical Society)
Curriculum
Scientific branch
(Area 0001 - Mathematical and computer sciences)
Skills
ERC sectors
Conferences
- A workshop on Geometry and Commutativa algebra (4/9/2023-5/9/2023), Participation to the organizing committee
- Commutative Algebra TOwards Applications (22/5/2023-24/5/2023), Participation to the organizing committee
- SIAM conference on applied algebraic geometry (15/7/2019-19/12/2019), Participation to the organizing committee
- TENSORS (10/9/2018-14/9/2018), Participation to the organizing committee
- Algebraic geometry, approximation, optimization (5/2/2018-16/2/2018), Participation to the organizing committee
- Algebraic geometry, approximation and optimisation (5/2/2018-16/2/2018), Participation to the organizing committee
- Ideals of Linear Subspaces, Their Symbolic Powers and Waring Problems (15/2/2015-21/2/2015), Participation to the organizing committee
Other research or teaching roles outside Politecnico
- Professore a contratto, presso Monash University (5/8/2013-1/7/2015)
Roles as evaluator or expert
- National Security Agency. 2015
American Mathematical Society - National Security Agency. 2013
American Mathematical Society - Mathematics and Statistics Discovery Grant application. 2018
NRC - NATIONAL RESEARCH COUNCIL OF CANADA
Teaching
Collegi of the PhD programmes
- MATEMATICA PURA E APPLICATA, 2021/2022 (38. ciclo)
Politecnico di TORINO - MATEMATICA PURA E APPLICATA, 2020/2021 (37. ciclo)
Politecnico di TORINO - MATEMATICA PURA E APPLICATA, 2019/2020 (36. ciclo)
Politecnico di TORINO - DOTTORATO IN MATEMATICA PURA E APPLICATA, 2018/2019 (35. ciclo)
Università degli Studi di TORINO - DOTTORATO IN MATEMATICA PURA E APPLICATA, 2017/2018 (34. ciclo)
Università degli Studi di TORINO - DOTTORATO IN MATEMATICA PURA E APPLICATA, 2016/2017 (33. ciclo)
Università degli Studi di TORINO
Collegi of the degree programmes
- Collegio di Ingegneria Chimica e dei Materiali. Componente
- Collegio di Ingegneria Civile ed Edile. Componente invitato
- Collegio di Ingegneria Matematica. Componente invitato
- Collegio di Ingegneria per l'Ambiente e il Territorio. Componente
Teachings
PhD
- Scomposizione di tensori: algebra, geometria e matematica computazionale. A.A. 2019/20, MATEMATICA PURA E APPLICATA. Main teacher
- Scomposizione di tensori: algebra, geometria e matematica computazionale. A.A. 2018/19, MATEMATICA PURA E APPLICATA. Main teacher
Bachelor of Science
- Linear algebra and geometry. A.A. 2024/25, INGEGNERIA DELL'AUTOVEICOLO (AUTOMOTIVE ENGINEERING). Titolare del corso
- Mathematical analysis I. A.A. 2024/25, INGEGNERIA DELL'AUTOVEICOLO (AUTOMOTIVE ENGINEERING). Collaboratore del corso
- Linear algebra and geometry. A.A. 2023/24, INGEGNERIA DELL'AUTOVEICOLO (AUTOMOTIVE ENGINEERING). Titolare del corso
- Mathematical analysis I. A.A. 2023/24, INGEGNERIA DELL'AUTOVEICOLO (AUTOMOTIVE ENGINEERING). Collaboratore del corso
- Linear algebra and geometry. A.A. 2022/23, INGEGNERIA DELL'AUTOVEICOLO (AUTOMOTIVE ENGINEERING). Titolare del corso
- Mathematical analysis I. A.A. 2022/23, INGEGNERIA DELL'AUTOVEICOLO (AUTOMOTIVE ENGINEERING). Collaboratore del corso
- Linear algebra and geometry. A.A. 2021/22, INGEGNERIA DELL'AUTOVEICOLO (AUTOMOTIVE ENGINEERING). Titolare del corso
- Mathematical analysis I. A.A. 2021/22, INGEGNERIA DELL'AUTOVEICOLO (AUTOMOTIVE ENGINEERING). Collaboratore del corso
- Linear algebra and geometry. A.A. 2020/21, INGEGNERIA DELL'AUTOVEICOLO (AUTOMOTIVE ENGINEERING). Titolare del corso
- Mathematical analysis I. A.A. 2020/21, INGEGNERIA DELL'AUTOVEICOLO (AUTOMOTIVE ENGINEERING). Collaboratore del corso
- Linear algebra and geometry. A.A. 2019/20, INGEGNERIA DELL'AUTOVEICOLO (AUTOMOTIVE ENGINEERING). Titolare del corso
- Mathematical analysis I. A.A. 2019/20, INGEGNERIA DELL'AUTOVEICOLO (AUTOMOTIVE ENGINEERING). Collaboratore del corso
- Linear algebra and geometry. A.A. 2018/19, INGEGNERIA DELL'AUTOVEICOLO (AUTOMOTIVE ENGINEERING). Titolare del corso
- Mathematical analysis I. A.A. 2018/19, INGEGNERIA DELL'AUTOVEICOLO (AUTOMOTIVE ENGINEERING). Collaboratore del corso
Research
Research fields
Research groups
Research projects
Projects funded by competitive calls
- 0DISTA - 0-Dimensional Schemes, Tensor Theory, and Applications, (2023-2025) - Responsabile Scientifico
Nationally funded research - PRIN
Supervised PhD students
- Stefano Canino. Programme in Matematica Pura E Applicata (36th cycle, 2020-2024)
Thesis: Zero-dimensional schemes: curves, singularities and tensors
Other activities and projects related to research
My research activity focuses on Algebraic Geometry and its applications to, for example, the study of tensors decompsotions, the study of the Waring rank of forms, Strassen's conjecture in computational mathematics, and the study of special varieties.
Publications
Publications by type
PoliTO co-authors
Last years publications
Most cited publications View all publications in Porto@Iris
- Carlini, Enrico; M., Catalisano; A., Geramita (2012)
The solution to the Waring problem for monomials and the sum of coprime monomials. In: JOURNAL OF ALGEBRA, vol. 370, pp. 5-14. ISSN 0021-8693
Contributo su Rivista - Carlini, Enrico (2006)
Reducing the number of variables of a polynomial. In: Algebraic Geometry and Geometric Modeling / S.N., BERLIN, Springer Berlin Heidelberg, pp. 237-247. ISBN: 9783540332749
Contributo in Volume - Carlini, Enrico; J. V., Chipalkatti (2003)
On Waring's problem for several algebraic forms. In: COMMENTARII MATHEMATICI HELVETICI, vol. 78, pp. 494-517. ISSN 0010-2571
Contributo su Rivista - Bernardi, A.; Carlini, E.; Catalisano, M. V.; Gimigliano, A.; Oneto, A. (2018)
The Hitchhiker guide to: Secant varieties and tensor decomposition. In: MATHEMATICS, vol. 6, pp. 314-399. ISSN 2227-7390
Contributo su Rivista - Bocci, Cristiano; Carlini, Enrico; Kileel, Joe (2016)
Hadamard products of linear spaces. In: JOURNAL OF ALGEBRA, vol. 448, pp. 595-617. ISSN 0021-8693
Contributo su Rivista - Carlini, Enrico; Chiantini, L; Geramita, A. V. (2008)
Complete intersections on general hypersurfaces. In: MICHIGAN MATHEMATICAL JOURNAL, vol. 57, pp. 121-136. ISSN 0026-2285
Contributo su Rivista - Carlini, Enrico; Guardo, E.; Van Tuyl, A. (2014)
Star configurations on generic hypersurfaces. In: JOURNAL OF ALGEBRA, vol. 407, pp. 1-20. ISSN 0021-8693
Contributo su Rivista - Boji, M.; Carlini, Enrico; Geramita, A. V. (2011)
Monomials as sums of powers: the Real binary case. In: PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, vol. 139, pp. 3039-3043. ISSN 0002-9939
Contributo su Rivista - Carlini, E.; van Tuyl, A. (2011)
Star configuration points and generic plane curves. In: PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, vol. 139, pp. 4181-4192. ISSN 0002-9939
Contributo su Rivista - Carlini, Enrico; Chiantini, Luca; catalisano maria, Virginia; Geramita, Anthony; Woo, ... (2018)
Symmetric tensors: rank, Strassen's conjecture and e-computability. In: ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA. CLASSE DI SCIENZE, vol. 18, pp. 363-390. ISSN 0391-173X
Contributo su Rivista - Carlini, Enrico; Van Tuyl, A. (2011)
Star configuration points and plane curves. In: PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, vol. 139, pp. 4181-4192. ISSN 0002-9939
Contributo su Rivista - Carlini, Enrico; Catalisano, M. V.; Geramita, A. V. (2011)
3-dimensional sundials. In: CENTRAL EUROPEAN JOURNAL OF MATHEMATICS, vol. 9, pp. 949-971. ISSN 1644-3616
Contributo su Rivista - Carlini, Enrico; M. V., Catalisano; Geramita, A. V. (2010)
Bipolynomial Hilbert functions. In: JOURNAL OF ALGEBRA, vol. 324, pp. 758-781. ISSN 0021-8693
Contributo su Rivista - Carlini, Enrico; Catalisano, Maria Virginia; Oneto, Alessandro (2017)
Waring loci and the Strassen conjecture. In: ADVANCES IN MATHEMATICS, vol. 314, pp. 630-662. ISSN 0001-8708
Contributo su Rivista - Carlini, Enrico; Grieve, N.; Oeding, L. (2014)
Four Lectures on Secant Varieties. In: Connections Between Algebra, Combinatorics, and Geometry / Susan M. Cooper, Sean Sather-Wagstaff, New York, Springer New York, pp. 101-146. ISBN: 9781493906253
Contributo in Volume