Curriculum Vitae

Enrico Carlini

Personal Data

• Date of birth: June 19, 1974.

• Nationality: Italian

• Address:
  Department of Mathematics
  Politecnico di Torino
  Corso Duca degli Abruzzi 24
  10129 Turin, Italy

• Telephone: 0039 011 564 7507 (office).

• Email: enrico.carlini@polito.it

• Homepage: calvino.polito.it/~carlini

Education

• February 2004 Ph.D. in Mathematics and Scientific Computing, University of Pavia.
  Thesis: “Geometric aspects of some polynomial decompositions”.
  Advisors: K. Ranestad (University of Oslo, Norway) and M. Cornalba (University of Pavia, Italy).

• 1999-2003, Doctoral School in Mathematics and Scientific Computing. University of Pavia.

• 1999 Laurea in Matematica, University Of Genoa.
  Thesis: “Hilbert Functions and points in P^n”, mark 110/110 cum laude.
  Advisors: A.V. Geramita (Queen's University, Kingston, Canada) and. L. Robbiano (University of Genoa, Italy).

• 1994-1998, Undergraduate degree in Mathematics. University of Genoa.

Work Experience

• 2007 (October) - Present: Assistant Professor, Department of Mathematics, Politecnico di Torino (Turin, Italy).

• 2004 – 2007 (September): Postdoctoral Fellow, Department of Mathematics, Politecnico di Torino (Turin, Italy).

Study Abroad

• 2001-2003, Universitet i Oslo (Oslo, Norway), Matematisk Institutt. Supervisor: K. Ranestad. Two years.

• 2001, Queen's University (Kingston, Ontario), Department of Mathematics and Statistics. Supervisor: J. Chipalkatti. One month.

• 1998, Queen's University (Kingston, Ontario), Department of Mathematics and Statistics. Supervisor: A. V. Geramita. One month.

Grants and funding

• Regular funding by INDAM (Istituto Nazionale di Alta Matematica, national institute for higher mathematics) to attend meetings and to support long stay visits: 2010 (St. Petersburg-Russia, Lexington-Kentucky), 2009 (Kingston-Ontario), 2008 (San Diego-California, Chicago-Illinois), 2007 (Minneapolis-Minnesota).

• 2009, “Giovani ricercatori” research grant of the Politecnico di Torino awarded to the best 50 young researchers in the Politecnico. Amount: 3000 euros.

• 2008, “Giovani ricercatori” research grant of the Politecnico di Torino awarded to the best 50 young researchers in the Politecnico. Amount: 3000 euros.

• 2006-2007, member of PRIN (national research program) “Spazi di Moduli e Teoria di Lie”. Amount: 100000 euros.

• 2004-2005, member of PRIN (national research program) “Spazi di Moduli e Teoria di Lie”. Amount: 182000 euros.

Visiting Positions

• 2009, Department of Mathematics and Statistics, Queen's University, Kingston, Ontario, September-December.

• 2008, Department of Mathematics and Statistics, Queen's University, Kingston, Ontario, September-December.

• 2007, IMA (Institute for Mathematics and its Applications, University of Minnesota, Minneapolis, Minnesota) visitor for the thematic year “Algebraic Geometry and its applications”, January-February.

• 2006, Universitet i Oslo (Oslo, Norway), Matematisk Institutt. May.

Scholarships and Honors

• 2006, IMA general membership (Institute for Mathematics and its Applications, University of Minnesota, Minneapolis, Minnesota).

• 2004(September)-2007(October), Postdoctoral Scholarship, Department of Mathematics Politecnico di Torino.

• 2001-2002, Marie Curie Scholarship, O.M.A.T.S.(Oslo Mathematics Training Site) Programme.

• 2000, S.A.F.I. award (Advanced School of Education). University of Pavia.

• 1999-2003, Doctoral Scholarship. University of Pavia.

Teaching Experience

• 2009, 2008, 2007, 2006 Politecnico di Torino. Teacher of the course: Geometria (I was completely responsible for one section of this multi-section first year course. The course was about linear algebra and analytic geometry.).

• 2005, 2004 (spring semesters) Politecnico di Torino. Teaching Assistant for the course : Geometria 1 (My duties included: preparing exercises for the students, tutoring students with these exercises. The course was about linear algebra and analytic geometry.).

• 2005, 2004 (fall semesters) University of Genoa. Faculty of Engineering. Teaching Assistant for the course: Geometria e Analisi (My duties included: preparing exercises for the students, tutoring students with these exercises. The course was about linear algebra, analytic geometry and first year calculus).

• 2001, University of Pavia, Faculty of Engineering. Teaching Assistant for the course: Geometria (My duties included: preparing exercises for the students, tutoring students with these exercises. The course was about linear algebra and analytic geometry).

Students' Opinion

These data are collected at the end of the course by handing to the students two forms. One form contains suggestions directed to the teacher and is collected by the instructor. The other form is sent to the central administration which will take care of elaborating the data. Both forms are anonymous.

• 2010 (71% of the students filled in the form)
  Is the course well organized? 96,2% YES
  Are the lessons and the practical sessions useful? 77,3% YES
  Were you interested in the subject during the course? 89,4% YES
  Are you satisfied of the course? 89,3% YES

• 2009 (76% of the students filled in the form)
  Is the course well organized? 90% YES
  Are the lessons and the practical sessions useful? 77,1% YES
  Were you interested in the subject during the course? 88,4% YES
  Are you satisfied of the course? 88,4% YES

• Teaching index: 3.4/4 Professor Index: 3.5/4

Students supervised

• 2009, Silvio Valente, Theses for the second degree in Engineering (3+2 years). Title:”Analisi e sviluppo di metodologie per la gestione di nuvole di punti per applicazioni maxillo-facciali” (Analysis and development of methods to treat clouds of points in applications to maxillofacial surgery ).

Advanced Teaching (teaching to highly qualified personnel)

• 2009, Universitat Politècnica de Catalunya. International School on Computer Algebra: COCOA 2009, (Responsible for one of the two tutorial sessions).

• 2009 Politecnico di Torino. Ph. D. course: Polynomial Models: from data to equations, from equations to solutions, held by L. Robbiano. (Responsible for the practice sessions. I also advised the students with their projects, which are part of the course requirment.)

• 2005, University of Turin. Teacher for the Short-Course on Computational Algebra for undergraduates (I was responsible for organizing a self contained course on Groebner bases).

Research and Publications

Research interests: Algebraic Geometry, Commutative and Computational Algebra, Projective Geometry and Algebraic Statistics.

Papers in refereed journals

1. 1.M.Boji, E.Carlini, A.V.Geramita, Monomials as sums of powers: the Real binary case , Proc. Amer. Math. Soc. 139 (2011), pp. 3039-3043.

2. A.Bernardi, E.Carlini, M.V.Catalisano, Higher secant varieties of P^n x P^m embedded in bi-degree (1,d), J. Pure Appl. Alg. 215(12), (2011), pp. 2853-2858.

3. E. Carlini, A. van Tuyl, Star configuration points and plane curves, Proc. Amer. Math. Soc. 139 (2011), pp. 4181-4192.

4. E. Carlini, J. Kleppe, Ranks derived from multilinear maps, J. Pure Appl. Alg. 215(8), (2011) pp. 1999-2004.

5. E. Carlini, F. Rapallo, Probability matrices, non-negative rank, and parameterization of mixture models, Linear Algebra Appl. 433 (2010), no. 2, pp. 424-432.

6. E. Carlini, L. Chiantini, A. V. Geramita, Complete intersection points on general surfaces in P^3, Michigan Math. Jour. 59 (2010), no. 2, pp. 269-281.

7. E. Carlini, M. V. Catalisano, A. V. Geramita, Bipolynomial Hilbert functions, J. of Algebra, vol. 324 (2010) pp. 758-781.

8. E. Carlini, F. Rapallo, A class of statistical models to weaken independence in two-way contingency tables, Metrika, 73(1), (2011), p. 1-22.

9. E. Carlini, M. V. Catalisano, On rational normal curves in projective space, J. London Math. (2) 80 (2009), no. 1, pp. 1-17.

10. E. Carlini, L. Chiantini, A. V. Geramita, Complete intersections on generic hypersurfaces in P^n, Michigan Math. Jour. 57 (2008) pp. 121-136.

11. E. Carlini, G. Pistone, Hilbert Bases for Orthogonal Arrays, Journal of Statistical Theory and Practice, 1 (2007) no. 3&4 pp. 299-309.

12. E. Carlini, M.V. Catalisano, Existence results for rational normal curves, J. London Math. Soc. (2) 76 (2007) pp. 73-86.

13. E. Carlini, Binary decompositions and Variety of Sums of Binaries, J. Pure Appl. Alg. 204 (2006) pp. 380-388.

14. E. Ballico, C. Bocci, E. Carlini, C. Fontanari, Osculating spaces to secant varieties, Rend. Circ. Mat. Palermo(2) 53 (2004) no. 2 pp. 429-436.

15. E. Carlini, J.V.Chipalkatti, On Waring's problem for several algebraic forms, Comment. Math. Helv. 78 (2003) no. 3 pp. 494-517.

16. E. Carlini, Varieties of Simultaneous Sums of Powers for binary forms, Le Matematiche 57 (2002) no. 1 pp. 83-97.

17. E. Carlini, T. Ha, A. van Tuyl, Computing the spreading and covering numbers, Comm. Algebra 29 (2001) no. 12 pp. 5687-5699.

Book chapters

1. C.Bocci, E.Carlini, F.Rapallo, Geometry of diagonal-effect models for contingency tables AMS-CONM series - Urbana Volume, pp. 61-74, AMS (2010).

2. E. Carlini, F. Rapallo, Algebraic category distinguishability, in “Algebraic and Geometric Methods in Statistics”, pp. 111-122, Cambridge University Press (2009).

3. E. Carlini, Reducing the number of variables of a polynomial, in “Algebraic Geometry and Geometric Modelling”, pp. 237-247, Springer-Verlag (2006).

Papers in refereed conference proceedings

1. E. Carlini, Codimension one decompositions and Chow Varieties, in “Projective Varieties with Unexpected Properties”, pp. 67-79, editors C. Ciliberto, B. Harbourne, R. Mirò-Roig, K. Ranestad, A. Geramita, Walter de Gruyter (2005).

2. E. Carlini, F. Rapallo, The Geometry of Statistical Models for Two-Way Contingency Tables with Fixed Odds Ratios, in “Computational Algebra for Algebraic Geometry and Statistics”, Rend. Ist. Mat. Univ. Trieste, vol. XXXVII, pp. 71-84 (2005).

Papers in non-refereed journals

1. E. Carlini, M. Stewart, Documentation For The TV&HF02 Package, in “The Curves Seminar at Queen's, vol XIII”, Queen's Papers in Pure and Applied Mathematics 119 (2000) pp. 179-196.

Papers in non-refereed conference proceedings

1. E. Carlini, Beyond Waring's problem for forms: the binary decomposition, Rend. Sem. Mat. Univ. Politec. Torino 63 (2005) no. 1 pp. 87-90.

2. E. Carlini, T. Ha, A. van Tuyl, The Ideal Generation Conjecture, in “COCOA VI, Proceedings of the International School”, Queen's Papers in Pure and Applied Mathematics 120 (2001) pp. 245-262.

3. E. Carlini, T. Ha, A. van Tuyl, The Minimal Resolution Conjecture, in “COCOA VI, Proceedings of the International School”, Queen's Papers in Pure and Applied Mathematics 120 (2001) pp. 263-273.

4. E. Carlini, T. Ha, A. van Tuyl, On the Hilbert Function of Points, in “COCOA VI, Proceedings of the International School”, Queen's Papers in Pure and Applied Mathematics 120 (2001) pp. 227-237.

5. E. Carlini, T. Ha, A. van Tuyl, A Chess Puzzle, in “COCOA VI, Proceedings of the International School”, Queen's Papers in Pure and Applied Mathematics 120 (2001) pp. 215-221.

Theses

1. E. Carlini, Geometric aspects of some polynomial decompositions, Ph. D. Thesis, University of Pavia (2004).

2. E. Carlini, Hilbert Functions and points in P^n, Tesi di laurea, University of Genoa (1999).

Didactic Publications

1. 2008, E.Carlini, M. V. Catalisano, F. Odetti, A. Oneto, M. E. Serpico, “GEOMETRIA PER INGEGNERIA - Raccolta di temi d'esame risolti”, editore Esculapio (Bologna), pp. 202 ISBN: 9788874882939.

2. 2001-2002, I wrote the text and exercises for the Mathematics and the Statistics sections of the undergraduate book series “Personal training io e ...Architettura-Urbanistica/Economia/Ingegneria-Informatica/Medicina e chirurgia/Psicologia”, edited by Sansoni in 2001, ISBN 88-383-(1897-2)/(1874-3)/(1875-1)/(1877-8)/(1876-X).

Submitted Publications

1. E. Carlini, A. van Tuyl, Star configuration points and plane curves, submitted to the Journal of Pure and Applied Algebra (2010).

2. E.Carlini, M.V. Catalisano, A.V. Geramita, 3-dimensional sundials, preprint (2010).

3. M.Boji, E.Carlini, A.V.Geramita, Monomials as sums of powers: the Real binary case, submitted to the Proceedings of the AMS (2010).

4. A.Bernardi, E.Carlini, M.V.Catalisano, Higher secant varieties of P^n x P^m embedded in bi-degree (1,d), preprint (2010).

5. E.Carlini, M.V. Catalisano, A.V. Geramita, Subspace arrangements, configuration of linear spaces and the quadrics containing them (2009), submitted to the Transactions of the AMS.

Invited Talks

• 2010, June 19-24, International Algebraic Conference, St. Petersburg, Russia. Title: “Hilbert functions and configuration of linear spaces”.

• 2010, March 27-28, AMS Sectional Meeting at Lexington, Kentucky. Invited Speaker for two special sessions. Special Session on Advances in Algebraic Statistics. Title: “Parameterization of mixture of independence models”. Special Session on Combinatorial Algebra. Title: “Bipolynomial Hilbert functions”.

• 2010, February 18-19, Workshop After Carnival: An Algebraic Geometry Party at Turin, Turin (Italy). Title: “Star configurations”.

• 2009, March, G.T.M. Seminar Genoa, Torino, Milano Seminar: a Day on Commutative Algebra and Algebraic Geometry, Genoa (Italy). Title: “Configurations of linear spaces”.

• 2008, December 6-8, CMS (Canadian Mathematical Society) Winter meeting, Ottawa (Ontario). Title: “On Hilbert function for subspace arrangements”.

• 2008, October 18, The 18th Route 81 annual conference, Queen's University, Kingston (Ontario). Title: “Hilbert functions of subspace arrangements ”.

• 2008, April 11-13, Algebraic Geometry and Commutative Algebra (A conference to celebrate Robin Hartshorne's 70th birthday) University of Illinois at Chicago, Chicago (Ilinois). Title: “Intersection problems for rational normal curves”.

• 2008, January 6-9, AMS Special Session on Secant Varieties and Related Topics, San Diego (California). Title: “Rational normal curves in projective space”.

• 2007, April 11-13, Linear systems and subschemes, Ghent (Belgium). Title: “On rational normal curves in projective space”.

• 2006, June 1-3, Zero-dimensional Schemes and Applications, Anacapri (Italy). Title: “Risultati di esistenza per curve razionali normali”.

• 2005, September 19– 25, School (and workshop) on Cremona Transformations, Politecnico di Torino, Turin (Italy). Title: “The Generalized Castelnuovo Theorem and special linear systems”.

• 2004, September 22-23. “Waringshop”, University of Ferrara, Ferrara (Italy).Title: “Scomposizioni in codimensione uno e Varietà di Chow”.

• 2004, September 27-29. Workshop: Geometric Modelling and Algebraic Geometry, University of Nice Sophia Antipolis, Nice (France). Title:“Polynomial Decompositions”.

• 2004, June 8-12. Projective Varieties with unexpected geometric properties, University of Siena, Siena (Italy). Title:“Varieties of Binary Forms”.

• 2003, September 15-20. Workshop “Polynomial Interpolation and Projective Embeddings”, Politecnico di Torino, Turin (Italy). Title: “Binary decompositions of forms in three variables and linear systems of surfaces in P^3”.

• 2003, February 13-14 . Workshop: “Zero Dimensional Schemes”, Politecnico di Torino, Turin (Italy). Title: “Decomposizione binaria di polinomi”.

• 2002, June 6-8. Conference “Zero Dimensional Schemes and Related Topics”. University of Catania, Catania (Italy). Title: “Varieties of Simultaneous Sums of Powers for Binary Forms”.

Invited Departmental Seminars

• 2010, University of Catania, Catania (Italy). Title: “Star configuration nel piano”. University of Kentucky, Lexington (Kentucky). Title:”Star configuration points”.

• 2009, Lakehead University, Thunderbay (Ontario). Title:“Polynomial decompositions and geometry”.

• 2008, MacMaster University, Hamilton (Ontario). Title:“Rational normal curves: from the twisted cubic curve on”.

• 2007, Universidad Complutense de Madrid, Madrid (Spain). Titles: “Complete intersection on generic hypersurfaces in P^n”, “On rational normal curves in projective space”.

• 2006, University of Florence, Florence (Italy). Title: “Varieta' delle secanti”.

• 2005, Politecnico di Torino, Torino (Italy). Seminars on Computational Algebra and its application to Algebraic Geometry and to Algebraic Statistic.

• 2004, University of Genoa, Pavia, Roma Tor Vergata, Roma Tre and Trieste, Politecnico di Milano and Politecnico di Torino (Italy). Title: “Decomposizioni Polinomiali e Varietà delle Secanti”.

• 2002, University of Oslo, Oslo (Norway). Seminars on VSSP (Varieties of Sums of Powers) and Binary Decompositions.

Other Professional Activities

• F.Vaccarino and I are the organizers of the Algebraic Geometry seminar at the Politecnico di Torino (web page: http://calvino.polito.it/~geosem/).

• Since 2008 I am a member of the Managing Committee of the journal “Rendiconti del seminario matematico, Univesita' e Politecnico di Torino”. My duties include: to give a scientific revision of the first draft of submitted manuscripts, and participating to the Committee meetings as secretary.

• Local organizer for the ESF-exploratory workshop “Multivariate Interpolation - Its Relation To Algebraic Statistics, Classical Algebraic Geometry And Computational Complexity Theory” (16-19 October 2007) held in Sestri Levante, Genoa, Italy.

• Referee for: London Mathematical Society (2010), Journal of Pure and Applied Algebra(2007,2009); Plos ONE (2009); MEGA Conference proceedings (2009).

• Reviewer for AMS Mathematical Reviews (more than 20 reviews).

• 2000-2002, organizer of the junior seminar TO.P.M.A.G (Torino Pavia e Milano Algebra e Geometria).

Other Activities

• Since 2007 I have been an amateur euphonium player.