Lucia Maria MARINO
My predominant area of research is Combinatorics with a primary emphasis on Combinatorial Design Theory and Graph Theory.
Another research field is algebraic geometry. In particular zerodimensional schemes in P^{1} × P^{1}, Hilbert functions, and minimal free resolutions.
Education
University of Catania, Italy

Ph. D. in Mathematics awarded in June 2002.
Thesis Title: On conductor degrees for 0dimensional schemes.
Supervisor : A. Ragusa
Date: October 18, 2018

M.Sc. in Mathematics, University of Catania, Italy, 1996 Thesis Title: Limitazioni sui numeri di Betti graduati
Supervisor: A. Ragusa
Area of Research
My predominant area of research is Combinatorics with a primary emphasis on Combinatorial Design Theory and Graph Theory.
Another research field is algebraic geometry. In particular zerodimensional schemes in P1 × P1, Hilbert functions and minimal free resolutions.
Current position
From January 2022 Associate Professor in Geometry at the Mathematics and Computer Science Department of the University of Catania.
Abilitation
National Academics Qualification as Associate Professor in Algebra and Geometria, 01/A2
(sector MAT03, geometry), from July 31^{st}, 2017 to July 31 st, 2023.
Teaching Experience

Teaching Assistant Department of Mathematics and Computer Sciences. Course: Combinatorial Geometry

Assist. Prof.: Department of Electrical, Electronics and Computer Engineering (DIEEI)  and Department of Civil Engineering and Architecture (DICAR University of Catania Italy (October 2007 – present)
Course: Linear Algebra and Geometry for Engineers.

Teaching assistant at Faculty of Engineering, University of Catania. (November 2006  October 2007)
Course: Linear Algebra and Geometry for Engineers.

Instructor at Faculty of Engineering, University of Catania (November 2001October 2004)
Past position

Postdoctoral research fellow for two years, Faculty of engineering of Catania, Italy (20052007)

Visitor at the University of Berkely, California (USA) for six months. (2005)

Fellowship, Department of Mathematics in Tucson, University of Arizona (USA) for six months with support of the University of Catania. (2003)

Postdoctoral research fellow for two years, supported by Department of Mathematics in Catania (20022004)
Research Projects

Member of “Progetto GNSAGA  INDAM: Numeri di Betti di Algebre graduate.”  Coord. Prof. A. Ragusa. Sedi: Catania  Messina Reggio Calabria.

PRIN 2003 Member of the Research Project"Algebra commutativa e computazionale"  Coord. scient. Valla G., Resp. scient.: Strano R. Univ. di CATANIA.

PRIN 2005 Member of the Research Project"Algebra commutativa, combinatoria e computazionale"  Coord. scient. Valla G., Resp. scient. Strano R. Univ. di CATANIA.

PRIN 2007 Member of the Research Project "Algebra Commutativa e Combinatorica con applicazioni alla Geometria Algebrica"  Coord. scient. Valla G., Resp. scient. Ragusa A. Univ. di CATANIA.

PRA 2007, 2008, 2009, 2010,2011 Member of PROGETTO DI RICERCA FINANZIABILE CON FONDI DI ATENEO, Resp. Scient.: Ragusa A. Title of the project: Metodi algebrici, omologici e computazionali nello studio delle varietà algebriche.

PRIN 2011 Member of the Research Project "Geometria delle Varietà algebriche"  Coord. scient. A. Verra., Resp. scient. F. Russo Univ. di CATANIA

Anno 2012  Ripartizione risorse destinate al finanziamento dei ricercatori

FIR 2014 Member of the Research Project “Block designs and Graph designs their Applications"  Principal Investigator Gionfriddo Mario dell' Università di Catania

2016 18 Member of the Reaserch Project “New Trends in Geometry, Topology and Combinatorics” Resp. scient. E. Guardo, Univ. of Catania.

2018 FABR: admitted to financing by ANVUR, email: finanziamenti_ricerca@anvur.it
Refereeing, Review and Editorial Board

Member of Editorial Board for Advances in Pure Mathematics since 2017, ISSN Print: 21600368, ISSN Online: 21600384

Reviewer for Mathematical Reviews (AMS published in MathSciNet. Since 2004).

Referee for international journals.
Research Publications
 "Edge balanced star‐hypergraph designs and vertex colorings of path designs " in collaboration with Paola Bonacini, J Combin Des. (2022);1–18.
 “On Voloshin colorings in 3hypergraph designs”, in collaboration with Paola Bonacini, Discrete Mathematics, Volume 343, Issue 10, October 2020, 112030, pubblicato online il 20 giugno 2020, https:// doi.org/10.1016/j.disc.2020.112030.
 “Edge balanced 3uniform hypergraph designs”, in collaboration with Paola Bonacini and Mario Gionfriddo, Mathematics 2020, 8, 1353.
 “Blocking sets for cycles and paths designs”, in collaboration with Paola Bonacini, Appl. Anal. Discrete Math, 14 (2020), 183–197.
 “Perfect blocking sets in P3designs”, in collaboration with Paola Bonacini and Mario Gionfriddo, The Art of Discrete and Applied Mathematics, 1 (2018), #P2.08.

“The spectrum of balanced P^3(1,5)designs”, in collaboration with Paola Bonacini, Maria Di Giovanni, Mario Gionfriddo, and Antoinette Tripodi, Contributions to Discrete Mathematics, 12 (1), 2017, 133142.

Dodecagon Quadrangle Systems having the most large spectrum, in collaboration with Mario Gionfriddo, Applied Mathematical Sciences, 10 (2016), no. 31, 15011508.

On the lower and upper chromatic index of C6systems, in collaboration with Paola Bonacini and Mario Gionfriddo, preprint.

Equitable block colorings for 8cycle systems, in collaboration with Paola Bonacini, The Australasian Journal of Combinatorics, 69 (2017), no. 2, 184–196

Nonagon quadruple systems: existence, balance, embeddings, in collaboration with Paola Bonacini and Mario Gionfriddo, The Australasian Journal of Combinatorics, 66 (2016), no. 3, 393406.

On the spectrum of Octagon Quadrangle Systems of any index, in collaboration with Paola Bonacini, Contributions to Discrete Mathematics, 12 (1), 2017, 7482.

Nestings Housedesigns, in collaboration with Paola Bonacini and Mario Gionfriddo Discrete Mathematics, 339 (2016), n° 4, 12911299

Construction of noncyclic balanced P(3)(1,5)designs, in collaboration with Paola Bonacini and Mario Gionfriddo, Applied Mathematical Sciences, 9 (2015), no.126, 62736282

Balanced Housesystems and Nestings, in collaboration with Paola Bonacini and Mario Gionfriddo, Ars Combinatoria, 121 (2015), 429436.

Equitable tricolourings for 4cycle systems, in collaboration with Paola Bonacini,
Applied Mathematical Sciences, 9(2015), no.58, 28812887.

Equitable block colourings, in collaboration with Paola Bonacini, Ars Combinatoria, 120 (2015), 255258.

Minimal free resolutions and Hilbert functions in P^{1}x P^{1}, in collaboration with Paola Bonacini, Algebra Colloquium 22 (2015), no.1, 97108.

Homogeneous edgecoloring of graphs^{ }, in collaboration with Paola Bonacini and Maria Grazia Cinquegrani to appear in Utilitas Mathematic

Hilbert functions and set of points in P^{1}x P^{1 }, in collaboration with Paola Bonacini, Beiträge zur Algebra und Geometrie , 56 (2015), no.1, 4361.

On the Hilbert function of zerodimensional schemes in P^{1}x P^{1 } in collaboration with Paola Bonacini, Collect. Math. 62 (2011), no.1, 57–67

Separators of fat points in P^{n}, E. Guardo, L. Marino, A. Van Tuyl, Journal of Algebra, 324, (2010), 14921512.

A characterization of ACM 0dimensional schemes in Q, Le Matematiche Vol. 64 (2009), no. 2, 41–56.

Some results on special binomial ideals, Le Matematiche Vol. 61 (2006), pp. 85—107.

The minimum degree of a surface that passes through all the points of a 0dimensional scheme but a point P, Contemporary Mathematics, Volume 376,(2005), pp. 315331.

Conductor and separating degrees for sets of points in P^{r} and in P^{1}x P^{1}, Bollettino Unione Matematica Italiana (8) 9 B(2006) pp. 397421.

On 0dimensional schemes with all permissible conductor degrees, Rendiconti del circolo matematico di Palermo, Serie II, Tomo LII (2003), pp.263280.

Conductor Degree and Socle Degree, in collaboration with Silvia Abrescia and Laura Bazzotti, Le Matematiche Vol.LVI (2001) Fasc. I, pp.129148.
Books
P. Bonacini, M.G. Cinquegrani, L. Marino, Algebra Lineare: Esercizi svolti, Ed. Cavallotto,
Catania 2012.
P. Bonacini, M.G. Cinquegrani, L. Marino, Geometria Analitica: Esercizi svolti, Ed. Cavallotto,
Catania 2012.
Talks and posters
Presentation: “On blocking sets in Steiner systems and Gdesigns”, Istanbul, 4^{th} Istanbul Design Theory Workshop, September 3 4, 2018.
Presentation: “Perfect Blocking Sets in $P_{3}$designs”, Combinatorics 2018, Arco (Trento) June 3 June 9, 2018.
Presentation: “Nonagon Quadruple Systems: existence, balance, embeddings”, Combinatorics 2016, Maratea (Potenza) May 29 June 4, 2016.
Presentation of Poster n.1 with Paola Bonacini entitled “Minimal free resolutions of 0dimensional schemes in P1XP1” at “GAEL XX1”, held at Stockholm University June 2428, 2013.
Presentation of Poster n.2 with Paola Bonacini entitled “Hilbert functions of 0dimensional
schemes in P1XP1” at “GAEL XX1”, held at Stockholm University June 2428, 2013.
Presentation “Zerodimensional schemes with some properties in common with ACM scheme in
P1xP1”, at the “Seminario congiunto Catania Messina – Palermo (CA.ME.PA.) ” of Commutative
Algebra and Algebraic Geometry, held in University of Messina, December 1, 2011.
Presentation of a joint poster with Paola Bonacini entitled “0dimensional schemes in P1xP1:
Hilbert functions and minimal free resolutions” at “A Celebration of Algebraic Geometry”, a
conference in honor of Joe Harris’ 60th birthday, held at Harvard University, Boston (USA) August
2528, 2011.
"On 0dimensional schemes with all permissible conductor degrees”  Conference on Commutative
Algebra with applications in Geometry and Combinatorics. – Piraino (Messina) September 2003
"Conductor degrees in P^r" XV Coloquio Latinoamericano di Algebra July 2003 Cocoyoc
Mexico
Conferences, meetings, and schools of research attended
Geometrical and Combinatorial Aspects of Commutative Algebra, September 1619, 2009, Villafranca Tirrena, Messina
Geometry of projective varieties,
University of Roma La Sapienza, September 2008
Commutative Algebra and Algebraic Geometry,
Meeting, University of Catania. 2007
Meeting, Commutative Algebra, and Algebraic Geometry, Math Depart of University of Berkeley, California, USA, March 2005.
Seminars on Commutative Algebra and Algebraic Geometry
at the Math Depart of Arizona State University, Tempee, Arizona USA, 2004
Conferences on Commutative Algebra with applications in Geometry and combinatorics
Piraino(Messina) September 2225, 2003
XV Coloquio Latinoamericano di Algebra. CocoyocMexico July 2026, 2003
Workshop of algebraic geometry, Politecnico di Torino, September 2002
Conference on zerodimensional schemes and related topics (in honor of Tony Geramita on the
the occasion on his 60^{th} birthday) La Perla Ionica (Acireale) Catania June 68, 2002
Workshop on “Application of Commutative Algebra”, Catania April 36, 2002
Conference on Commutative Algebra and Algebraic Geometry (in honor of the 60^{th} birthday of Silvio Greco) Catania April 1113, 2001
Workshop of algebraic geometry, Politecnico di Torino, September 2002
Grostat IV Workshop on Grobner bases and statistics, Menton September 55, 2000, France
Pragmatic 2000. Summer school, Catania June 723, 2000
Giornate di geometria algebrica, Gargnano, May 2000
Workshop on Zerodimensional schemes and application, Napoli, February 912, 2000
Summer school on Computational Algebra “Initial Ideals”, Nordfjorded, August 1015, 1999
Conference in honor of David Buchsbaum, Catania April 27 May 5, 1998
Academic Year 2021/2022
 DEPARTMENT OF CIVIL ENGINEERING AND ARCHITECTURE
Bachelor's Degree in Civil, Environmental and Management Engineering  1^{st} Year
ALGEBRA LINEARE E GEOMETRIA  DEPARTMENT OF MATHEMATICS AND COMPUTER SCIENCES
Bachelor's Degree in Computer Science  1^{st} Year
ALGEBRA LINEARE E GEOMETRIA M  Z
Academic Year 2020/2021
 DEPARTMENT OF CIVIL ENGINEERING AND ARCHITECTURE
Bachelor's Degree in Civil, Environmental and Management Engineering  1^{st} Year
ALGEBRA LINEARE E GEOMETRIA  DEPARTMENT OF MATHEMATICS AND COMPUTER SCIENCES
Bachelor's Degree in Computer Science  1^{st} Year
ALGEBRA LINEARE E GEOMETRIA M  Z
Academic Year 2019/2020
 DEPARTMENT OF CIVIL ENGINEERING AND ARCHITECTURE
Bachelor's Degree in Civil and Environmental Engineering  1^{st} Year
LINEAR ALGEBRA AND GEOMETRY
Academic Year 2018/2019
 DEPARTMENT OF CIVIL ENGINEERING AND ARCHITECTURE
Bachelor's Degree in Civil and Environmental Engineering  1^{st} Year
LINEAR ALGEBRA AND GEOMETRY M  Z
Academic Year 2017/2018
 DEPARTMENT OF CIVIL ENGINEERING AND ARCHITECTURE
Bachelor's Degree in Civil and Environmental Engineering  1^{st} Year
LINEAR ALGEBRA AND GEOMETRY M  Z
Academic Year 2016/2017
 DEPARTMENT OF ELECTRICAL, ELECTRONIC AND COMPUTER ENGINEERING
Bachelor's Degree in Computer Engineering  1^{st} Year
LINEAR ALGEBRA AND GEOMETRY  canale 1
Academic Year 2015/2016
 DEPARTMENT OF ELECTRICAL, ELECTRONIC AND COMPUTER ENGINEERING
Bachelor's Degree in Computer Engineering  1^{st} Year
LINEAR ALGEBRA AND GEOMETRY AD
My predominant area of research is Combinatorics with primary emphasis on Combinatorial Design Theory and Graph Theory.
Another rearch field is algebraic geometry. In particular zerodimensional schemes in P1 × P1, Hilbert functions and minimal free resolutions.