# Giuseppe ZAPPALA'

##### Contacts

**Office:** Studio 46, III Blocco, DMI**Email:** zappalag@dmi.unict.it**Phone:** 095 7383002**Web Site:** www.dmi.unict.it/zappalag/

##### Office Hours

Tuesday and Thursday from 10:00 to 12:00Giuseppe Zappalà was born in Catania on 27/9/1970.

In 1993 he graduated in Mathematics at the University of Catania. In the same year he won a scholarship

of the National Institute of Higher Mathematics.

In 1999 he obtained the title of PhD in Mathematics at the University of Palermo.

He has been a Researcher at the University of Catania since 1996, disciplinary scientific sector MAT / 03.

Since 2021 he has been Associate Professor at the DMI of the University of Catania, scientific disciplinary sector MAT/03.

His research interests mainly concern Commutative Algebra and Algebraic Geometry.

Personal data:

Born in Catania on 27 September 1970

Italian citizen

Instruction

"Degree in Mathematics", University of Catania (1993)

Speaker: Alfio Ragusa

Thesis entitled: "The Hilbert-Burch theorem and applications"

PhD, University of Palermo (1999)

Speaker: Alfio Ragusa

Thesis entitled: "The 0-dimensional subschemes of irreducible curves in P^3"

Locations

Scholarship at the National Institute of High Mathematics (1993-1994)

Researcher at the University of Catania since 1996.

Associate Professor at the DMI of the University of Catania since 2021.

Research topics addressed

I dealt with research topics in the field of Algebraic Geometry and Commutative Algebra.

More specifically, I dealt with the following topics:

Hilbert functions of 0-dimensional subschemes of irreducible curves lying on a quadric surface;

arithmetically Gorenstein schemes;

fat points and fat patterns in projective spaces;

construction of patterns with particular properties;

reducibility of the Hilbert scheme of points in codimension 3 and connection with the existence of minimal Betti sequences;

properties of subschemes of sets of points;

merges of aCM patterns and full intersection patterns;

0-dimensional subschemas of products of projective spaces;

nearly complete intersections;

weak and strong Lefschetz properties;

configurations of algebraic varieties.

Scientific communications

"On the weak Lefschetz property for artinian Gorenstein algebras", Palermo, February 2012;

"The graded Betti numbers for almost complete intersections in codimension 3", Villafranca Tirrena, September 2009;

"r-codimensional Gorenstein schemes and almost complete intersections", Messina, November 2008;

"Subschemes of schemes with given graded Betti numbers", Piraino, September 2004;

"On some constructions of reduced aCM schemes", Acicastello, June 2002;

"3-Codimensional Gorenstein Arithmetic Schemes", Gargano, May 2000.

Other scientific activities

Referee for national and international journals.

Reviewer for Zentralblatt MATH

Organization

- Pragmatic (School of Research) in Catania 1997-2012 (15 editions)

- Pragmatic (Promotion of Researches in Algebraic Geometry for MAThematicians in Isolated Centers) is a research school whose activities take place annually at the Department of Mathematics and Computer Science of the University of Catania. The courses are taught by internationally renowned experts. It has helped train a large number of algebraic algebraists and geometers from all over the world.

- He has been a member of the organizing committee of various international conferences.

**N.B.**the number of publications can affect the loading time of the information

##### Academic Year 2021/2022

- DEPARTMENT OF ELECTRICAL, ELECTRONIC AND COMPUTER ENGINEERING

Bachelor's Degree in Electronic Engineering - 1^{st}Year**LINEAR ALGEBRA AND GEOMETRY Cp - I** - DEPARTMENT OF MATHEMATICS AND COMPUTER SCIENCES

Bachelor's Degree in Computer Science - 1^{st}Year**ALGEBRA LINEARE E GEOMETRIA A - L**

##### Academic Year 2020/2021

- DEPARTMENT OF ELECTRICAL, ELECTRONIC AND COMPUTER ENGINEERING

Bachelor's Degree in Electronic Engineering - 1^{st}Year**LINEAR ALGEBRA AND GEOMETRY Cp - I**

##### Academic Year 2019/2020

- DEPARTMENT OF ELECTRICAL, ELECTRONIC AND COMPUTER ENGINEERING

Bachelor's Degree in Electronic Engineering - 1^{st}Year**LINEAR ALGEBRA AND GEOMETRY Cp - I**

##### 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 A - L**

##### 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 A - L**

##### Academic Year 2016/2017

- DEPARTMENT OF CIVIL ENGINEERING AND ARCHITECTURE

Bachelor's Degree in Civil and Environmental Engineering - 1^{st}Year**LINEAR ALGEBRA AND GEOMETRY A - L**

##### Academic Year 2015/2016

- DEPARTMENT OF CIVIL ENGINEERING AND ARCHITECTURE

Bachelor's Degree in Civil and Environmental Engineering - 1^{st}Year**LINEAR ALGEBRA AND GEOMETRY A - L**

Main research topics:

- Hilbert functions of graded algebras;

- Betti numbers of graduated algebras;

- Properties of the curves on the smooth quadric;

- Gorenstein algebras;

- Structure theorems for free graduated resolutions;

- Multiple algebraic varieties;

- Lefschetz property;

- Perazzo algebras;

- Almost complete intersection schemes;

- Almost Gorenstein schemes