%% $Id: curriculum-eng6.tex,v 1.33 2005/09/06 11:52:09 homepage Exp $ \documentclass[11pt]{memoir} \input{curriculum-head} \selectlanguage{british} %%% BEGIN PROLOGUE %%% PDF-tex support \ifx\pdfoutput\undefined \newcount\pdfoutput \fi \ifcase\pdfoutput % \else %% Type1 fonts are more suitable for PDF files %% Document info \fi \title{Curriculum vitae} \author{Luca Giuzzi} %\date{\selectlanguage{british}\today} \date{\selectlanguage{british}\today} \begin{document} \maketitle \section{Personal details} \hskip.4cm \begin{minipage}{8cm} \begin{tabular}{ll} Surname: & Giuzzi \\ Name: & Luca \\ Title: & Dr. (DPhil, Sussex) \\ Role: & Associate Professor of Geometry \\ Date of Birth: & 30 September 1973 \\ Citizenship: & Italian \\ Known languages: & Italian (mother-tongue), \\ & English (fluent), \\ & French (basic), \\ & German (elementary). \\ % & French (basic) \\ Telephone (BS): & +39 030 3715739 \\ Fax: & +39 030 3715745 \\ E-mail: & \href{mailto:luca.giuzzi@unibs.it}{luca.giuzzi@unibs.it} \\ Web page: & \url{http://luca-giuzzi.unibs.it} \\ ORCID: & 0000-0003-3975-7281 \\ ResearcherID: & F-4066-2010 \\ Address (work): & DICATAM \\ & Section of Mathematics \\ & Facolt\`a di Ingegneria \\ & Universit\`a degli studi di Brescia \\ & via Branze 43 \\ & 25123 Brescia \\ & ITALY \\ Address (home): & via Cesare Battisti 42 \\ & 25018 Montichiari (BS) \\ & ITALY \\ \end{tabular} \end{minipage} \setsechook{\begin{center}\sepP\end{center}} \section{Studies} \begin{enumerate} \item {\em Laurea in matematica} (degree in mathematics) with a score of 110 {\em cum laude}/110, Universit\`a Cattolica del Sacro Cuore; thesis ``Gruppi di Frobenius e strutture geometriche associate'' under the supervision of Prof. Silvia Pianta, 1996. \item DPhil in Mathematics, University of Sussex; thesis ``Hermitian varieties over finite field'' under the supervision of Prof. James Hirschfeld, 2001. \end{enumerate} \section{Employment history} \begin{enumerate} \item 1992-1996: Undergraduate student at Universit\`a Cattolica del Sacro Cuore. \item 1996-1997: Unix system administrator at Universit\`a Cattolica. \item 1997-2000: DPhil student at University of Sussex. \item 2000-2004: research fellow at Universit\`a degli studi di Brescia. \item 2002-2003: work on ``Development of a cryptosystem based on elliptic or hyperelliptic curves'' (POP 342) in collaboration with Universit\`a della Basilicata. \item 2004-April 2008: research associate in Geometry at Politecnico di Bari. \item May 2008-2018: research associate in Geometry at Universit\`a degli Studi di Brescia. \item June 2018-now: associate professor of Geometry at Universit\`a degli Studi di Brescia. \end{enumerate} \section{Habilitations} Luca Giuzzi has been qualified (habilitated) by the italian MUR to the role of \begin{enumerate} \item \emph{associate professor in Geometry} on March 28, 2017; \item \emph{full professor in Geometry} on July 8, 2024. \end{enumerate} \section{Refereeing activity} Luca Giuzzi has been acting as \emph{referee} for several international journals, including \emph{Annals of Combinatorics}, \emph{Designs Codes and Cryptography}, \emph{Discrete Mathematics}, \emph{Finite Fields and their Applications}, \emph{Journal of Number Theory}, \emph{International Journal of Computer Mathematics}, \emph{International Journal of Algebra and Computation}. He is also a reviewer for \emph{MathSciNet} and \emph{Zentralblatt MATH}. \section{Expert reviews} Luca Giuzzi has acted as an expert reviewer in the following capacities: \begin{enumerate} \item 2025: Expert reviewer and rapporteur (EX2015D259228) for the European Research Executive Agency (REA-EU), HORIZON-MSCA-2025-PF ASc; \item 2024: Expert reviewer and rapporteur (EX2015D259228) for the European Research Executive Agency (REA-EU), HORIZON-MSCA-2024-PF ASc; \item 2023: Expert reviewer for the European Research Executive Agency (REA-EU), HORIZON-MSCA-2023-PF-01 AS2. \item 2023-2025: Expert reviewer for Junior Positions and Associate tenure track positions on behalf of the Le Fonds de la Recherche Scientifique (FNRS), Belgium. \item 2023-2025: Reviewer for proposals submitted to the project \emph{Galileo2024 -- Universit\`a Italo-Francese}; \item 2020: Part of the evaluation board for the admittance to the title of PhD, Universit\`a di Modena e Reggio Emilia (IT); \item 2020: Reviewer of some papers for the VQR 2015-2019 campaign (Italy); \item 2019: Part of the evaluation board for the award of a tenure track position (Ricercatore RtdB) at Universit\`a degli Studi di Brescia (IT); \item 2018: External referee of a doctoral thesis presented at the University of Melbourne (Australia). \end{enumerate} \section{Awards and grants} \begin{enumerate} \item May 1997: grant for `advanced studies abroad' by Universit\`a Cattolica \item July 1997: research grant for `doctoral studies' by Istituto Nazionale di Alta Matematica; this grant has been renewed for the years 1998-1999 and 1999-2000. \item September 1997-2000: British EPSRC award (covering tuition fees at Sussex University). \item June 2000: research grant for `Progetto e realizzazione di un criptosistema per comunicazioni'' (Project and implementation of a cryptosystem for communication systems), POP-FESR 1994/99, Universit\`a della Basilicata. \item September 2000-December 2004: research fellowship at Universit\`a degli studi di Brescia. \item 2001: Exhonerated from compulsory military service as ``Citizen involved with special merits in activities of national or international relevance in science, art or culture'', Art. 7(d) DLG 504/97. \item 2015, ``Incentivo una tantum anno 2011'' (competitive award from the from the University of Brescia for activities in the years 2008-2011). \item 2017, ``Incentivo una tantum anno 2013'' (for activities in the years 2011-2013) \item 2017, FABR (Individual Grant for Basic Research), ANVUR prot. 20/2017, 15 June 2017. \end{enumerate} \section{Conference organization} \begin{enumerate} \item 2007: Member of the organizing committee of the \subjtitle{XVIII Congresso UMI}, Bari. \item 2008: Organizer of the international conference \subjtitle{Combinatorics 2008}, Brescia. \item 2017: Organizer of the international conference \subjtitle{Fq13}, Gaeta. \item 2017: Organizer of the international conference \subjtitle{HyGraDe}, S. Alessio Siculo (Messina). \item 2018: Organizer of the international conference \subjtitle{Combinatorics 2018}, Arco (TN). \item 2022: Organizer of the international conference \subjtitle{Combinatorics 2022}, Mantova (MN). \end{enumerate} \section{Involvment with National Research Projects (PRIN and PNNR)} \begin{enumerate} \item 2024-25: PNRR \subjtitle{SERICS -- ISP5G+} (D33C22001300002) as a member; \item 2024-25: PNRR \subjtitle{SERICS -- SCARPHASE} (C89J24000580008) as a member; \item 2024-25: PNRR \subjtitle{RESTART -- EMBRACE} (E63C22002070006) as a member; \item 2012: PRIN \subjtitle{Strutture geometriche, combinatoria e loro applicazioni}, (2012XZE22K\_009) as Scientific Coordinator of the local research unit; \item 2008: PRIN \subjtitle{Strutture di incidenza e combinatorie}, (2008BHF4AW\_003), as member; \item 2005: PRIN \subjtitle{Grafi e Geometrie}, (2005018845\_002), as member; \item 2003: PRIN \subjtitle{Strutture geometriche, combinatoria e loro applicazioni}, as member; \item 2001: PRIN \subjtitle{Strutture geometriche, combinatorica e loro applicazioni}, as member. % %\item 2010 (pending): ``Strutture geometriche, combinatoria e loro % applicazioni'' (2010HR2XTA\_008) as associated investigator \end{enumerate} \section{European Projects} \begin{enumerate} \item Participant to COST action IC1104: \subjtitle{Random Network Coding and Designs over $\mathrm{GF}(q)$}. \end{enumerate} \section{Institutional teaching} Prof. Giuzzi has been a \emph{professore aggregato} from September 2006 to April 2018. Since 2018 he is \emph{Associate Professor in Geometry}. \begin{enumerate} \item 1998-1999: teaching assistant for Discrete Mathematics at University of Sussex. \item 1999-2000: teaching assistant for Discrete Mathematics and Group Theory at University of Sussex. \item 2000-2001: mini-course (10 hours) on cryptography at Universit\`a Cattolica del Sacro Cuore. \item 2001-2002: mini-course on \subjtitle{Cryptography: from DES to AES}, Universit\`a di Brescia. \item 2003-2004: course (10 hours) on \subjtitle{Discrete Mathematics}, Universit\`a di Brescia. \item 2004-2005: main lecturer for \subjtitle{Geometria Superiore 2}, Universit\`a Cattolica del Sacro Cuore. \item 2004-2005: teaching assistant at Politecnico di Bari (3 courses). \item September 2005: introductory course on geometry at Politecnico di Bari (10 hours). \item 2005-2006: teaching assistant at Politecnico di Bari (3 courses). \item 2006-2007: main lecturer for \subjtitle{Geometria e Algebra}, Mechanical Engineering, A, Politecnico di Bari. \item 2007-2008: main lecturer for \subjtitle{Geometria e Algebra}, Mechanical Engineering, A, Politecnico di Bari. \item 2007: seminars (3 hours) on Coding Theory at Universit\`a degli studi di Brescia, within the European Social Found project n. 411498 Ob. 3 Mis. C3 (2006), 414809, no. 671794 ``Corso di alta formazione nell'ambito di dottorati afferenti al settore dell'Ingegneria dell'informazione'' (Higher education course for doctoral studies related to information engineering). \item 2008: co-supervisor for first and second level degree theses in Mathematics at Universit\`a Cattolica. \item 2008-2010: main lecturer for \subjtitle{Complementi di Geometria e Algebra}, Universit\`a degli Studi di Brescia. \item 2010-2011: main lecturer for \subjtitle{Algebra per Codici e Crittografia} (Algebra for codes and cryptography), Universit\`a degli Studi di Brescia. \item 2011-2012: main lecturer for \begin{itemize} \item \subjtitle{Algebra per Codici e Crittografia}, Universit\`a degli Studi di Brescia; \item \subjtitle{Geometria combinatorica} (Combinatorial geometry), Universit\`a Cattolica del S. Cuore (BS). \end{itemize} \item 2012-2018: main lecturer for \begin{itemize} \item \subjtitle{Algebra per Codici e Crittografia}, Universit\`a degli Studi di Brescia; \item \subjtitle{Algebra e Geometria}, Universit\`a degli studi di Brescia. \end{itemize} \item 2018-2020: professor of \begin{itemize} \item \subjtitle{Algebra per Codici e Crittografia} ($6$ CFU), Universit\`a degli Studi di Brescia; \item \subjtitle{Algebra e Geometria} ($9$ CFU), Universit\`a degli studi di Brescia. \end{itemize} \item 2020-2024: professor of \begin{itemize} \item \subjtitle{Algebra per Codici e Crittografia} ($6$ CFU), Universit\`a degli Studi di Brescia; \item \subjtitle{Algebra e Geometria} ($9$ CFU), Universit\`a degli studi di Brescia; \item \subjtitle{Algebra lineare e geometria analitica} ($6$ CFU), Universit\`a degli studi di Brescia. \end{itemize} \item 2024-now: professor of \begin{itemize} \item \subjtitle{Algebra per Codici e Crittografia} ($6$ CFU), Universit\`a degli Studi di Brescia; \item \subjtitle{Algebra e Geometria} ($9$ CFU), Universit\`a degli studi di Brescia; \item \subjtitle{Algebra lineare e Geometria} ($6$ CFU), Universit\`a degli studi di Brescia. \end{itemize} \end{enumerate} Luca Giuzzi has been supervisor for several first-level theses on topics related to cryptography: \input{list-of-theses}. \section{Advanced courses} \begin{itemize} \item 2020: advanced Winter School \emph{Mathematics for Engineering Applications}, \subjtitle{Blockchains from bitcoin to robotics --- distributed data security for industry 4.0}, Politecnico di Bari (IT). \item 2021: Doctoral course \subjtitle{From finite fields to post-quantum cryptography}, Universit\`a di Siena (IT). \item 2023: Doctoral course \subjtitle{Data protection: Security, Integrity and Secrecy}, Politecnico di Bari (IT). \item 2023: Advanced course \subjtitle{Finite geometry: advanced topics}, \emph{CIMPA-NCM School on Finite Geometry and Coding Theory}, Indian Institute of Technology Hyderabad (IN). \end{itemize} \section{Accepted papers} \begin{raggedright} \input{papers} \end{raggedright} \section{Books} \begin{enumerate} \item L. Giuzzi, \papertitle{Hermitian varieties over finite fields}, DPhil thesis under the supervision of Prof. J.W.P. Hirschfeld (University of Sussex). \item L. Giuzzi, \papertitle{Codici correttori}, UNITEXT Springer Verlag {\bfseries 27} (2006), ISBN: 88--470--0539--6. \end{enumerate} \section{Proceedings/Extended Abstracts} \input{proceedings} \section{Other printed works} \begin{enumerate} \item L. Giuzzi, \papertitle{Gruppi di Frobenius e strutture geometriche associate} (Frobenius groups and associated geometrical structures, in Italian): {\em tesi di laurea} at Universit\`a Cattolica di Brescia, under the supervision of Prof. S. Pianta. \end{enumerate} \section{Patents} \begin{enumerate} \item L. Giuzzi, G. Korchm\`aros, A. Sonnino, \papertitle{Perfezionamenti nella crittografia a chiave pubblica basata su curve ellittiche}, patent no. 0001379714, August 2010. \end{enumerate} \section{Selected schools and workshops} \begin{enumerate} \item July 1995: ``Summer school on combinatorics and finite geometry'', Potenza. \item July 1996 ``Summer school Giuseppe Tallini on finite geometry'', Brescia. \item August 1996, ``Scuola di Matematica Interuniversitaria'', Perugia. \item September 1997, ``Summer school on finite geometry'', Potenza. \item April 1998, Intensive course ``Galois Geometry and Generalised Polygons'', Ghent. \item July 1998, ``Advanced school on Combinatorial Geometry'', Cortona. \item August 1998, NATO Advanced Study Institute ``Difference sets, sequences and their correlation properties'', Bad Winsheim. \item September 1998, ``Summer school Giuseppe Tallini on finite geometry'', Brescia. \item November 1998, Workshop ``SUNCAGe'98'', Caserta. \item May 1999, summer school ``Methods of discrete mathematics: Association schemes, Lattices and Codes'', Braunschweig. \item June 1999, Socrates Intensive programme ``Finite geometries and their automorphisms'', Potenza. \item September 1999, ``International meeting on coding theory and cryptography'', Medina del Campo (ES). \item October 2000, ``ECC 2000: 4th workshop on elliptic curve cryptography'', Essen. \item May 2001, ``CHES 2001: Workshop on cryptographic hardware and embedded solutions'', Paris. \item July 2002, ``Summer school Giuseppe Tallini'' on finite geometry, Brescia. \item September 2005, ``Summer school Giuseppe Tallini on Combinatorial Geometries'', Potenza. \item 10--16 September 2006, ``Second Irsee Conference on Finite Geometries'', Irsee (DE). \item 24--29 September 2007, ``XVIII Congresso UMI'', Bari (IT). \item 22--28 June 2008, ``Combinatorics 2008'', Brescia (IT). \item 13--17 June 2009, ``Fq9 -- Finite Fields and their Applications'', Shannon Institute, Dublin (IE). \item 30 May -- 4 June 2010, ``Fourth Pythagorean Conference'', Corfu (GR). \item 5--11 June 2010, NATO Advanced Study Institute, ``Information Security and Related Combinatorics'', Opatija (HR). \item 27 June -- 3 July 2010, ``Combinatorics 2010'', Verbania (IT). \item 19--25 June 2011, ``Third Irsee Conference on Finite Geometries'', Irsee (DE). \item 10--16 July 2011, ``Fq10 -- Finite Fields and their Applications'', Ghent (BE). \item 6--10 February 2012, ``Incidenge geometry and buildings'', Ghent (BE). \item 13--14 February 2012, ``Giornate di Geometria'', Vicenza (IT). \item 9--15 September 2012, ``Combinatorics 2012'', Perugia (IT). \end{enumerate} \section{Conference talks} \begin{enumerate} \item 6 November 1997, ``Spazi co--Minkowski e loro struttura di riflessione'', GNSAGA national meeting, Perugia (IT). \item 19 June 1998, ``Co-Minkowski spaces and their reflection structure'', Combinatorics '98, Palermo (IT). \item 31 May 2000, ``Intersection numbers for Hermitian varieties'', Combinatorics 2000, Gaeta (IT). \item 19 July 2000, ``Groups stabilising the intersection of two classical unitals'', Fourth Isle of Thorns conference of finite geometries (invited participation), Isle of Thorns (UK). \item 5 July 2001, ``A short characterisation of classical unitals'', 18th British Combinatorial Conference, Brighton. \item 8 June 2002, ``Ovoids of the Hermitian surface'', Combinatorics 2002, Maratea (IT). \item 3 October 2003, ``A family of ovoids of the Hermitian Surface in $PG(3,q^2)$ with odd $q\geq 5$'', International Symposium on Graphs, Designs and Applications 2003, Messina (IT). \item 26 June 2006, ``LDPC Codes from Projective Spaces'', Combinatorics 2006, Ischia (IT). \item 30 January 2010, invited speaker, ``Geometry and codes'', workshop in honour of Prof. M. Marchi, on occasion of his 70th birthday. \item 29 June 2010, ``On samplings of graphs'', Combinatorics 2010, Verbania (IT). \item 12 July 2011, ``Unitals in $PG(2,q^2)$ with a large $2$-point stabiliser'', Fq10 --- 10th International Conference of Finite Fields and their Applications, Ghent (BE). \item 10 September 2012, ``Caps and codes from Polar Grassmannians'', Combinatorics 2012, Perugia (IT). \item 19 September 2013, ``Linear codes from orthogonal Grassmannians'', Conference on Random network codes and Designs, Ghent (BE). \item 5 June 2014, ``On Line Polar Grassmann Codes'', Combinatorics 2014, Gaeta (IT). \item 19 June 2014, ``Linear Polar Grassmann Codes'', Algebra, codes and Networks, Bordeaux (FR). \item 18 September 2014, ``Intersection of Hermitian Surfaces and quadrics'', Finite Geometries --- Fourth IRSEE conference (invited participation), Kloster Irsee (DE). \item 16 March 2015, ``Polar Grassmann codes --- Part II'', ALCOMA15, Kloster Banz (DE). \item 19 June 2015, ``Polar Grassmannians and their Codes'', MEGA2015, Trento (IT). \item 3 June 2016, ``Implementing Polar Gra{\ss}mann Codes'', Combinatorics 2016, Maratea (IT). \item June 2017, ``Hermitian Line Polar Gra{\ss}mann Codes'', Fq13, Gaeta (IT). \item September 2017, ``Transparent embeddings of point-line geometries'', Fifth Irsee Conference (invited participation), Kloster Irsee (DE). \item September 2019, ``Generating and embedding polar Grassmannians'', Buildings 2019, Magdeburg (DE). \item August 2022, ``On subspaces of classical polar spaces'', Finite Geometries 2022 --- Sixth Irsee Conference (invited participation), Irsee (DE). \item September 2022, ``On symplectic polar spaces'', Polygons, buildings and related geometries, Ghent (BE). \item January 2023, invited speaker, ``Grassmannians, their embeddings and applications'', GL70 --- A conference in honor of Guglielmo Lunardon, Naples (IT). \item February 2023, ``Linear codes and Grassmann graphs'', Conference on Algebraic varieties over finite fields and Algebraic geometry codes (COGNAC) (invited participation), Marseille (FR). \item December 2023, invited speaker, ``On orthogonal polar spaces'', International Conference on Algebraic Geometry, Coding Theory and Combinatorics, Indian Institute of Technology Hyderabad (IN). \item September 2024, invited speaker, ``Cryptographic uses of (polar) Grassmannians'', CodeMath24 -- Coding Theory and Discrete Mathematics 2024, Rome (IT). \item September 2025, ``Codes from the point-hyperplane geometry of $\mathrm{PG}(V)$, Finite Geometries 2025 -- Seventh Irsee Conference (invited participation), Irsee (DE). \item September 2025, ``On dominant embeddings of the point-hyperplane geometry of type $A_{n,\{1,n\}}$'', Buildings 2025, Louvain-la-Neuve (BE). \item January 2026, invited speaker, ``Codes from embeddings of point-line geometries'', First Indo-European Conference on Mathematics, Pune (India). \end{enumerate} \section{Seminars} All the seminars in this section have been given upon invitation by the hosting institutions. \begin{enumerate} \item June 1997, ``Kinematic spaces derived from Frobenius Groups'', School of Mathematical Sciences, University of Sussex. \item 23 and 24 September 1998, ``Cryptography and finite geometries (I and II)'', Mathematics department at Universit\`a Cattolica del Sacro Cuore, Brescia. \item 16 October 1998, ``Public-key cryptosystems and elliptic curves'', School of Mathematical Sciences, University of Sussex, Brighton. \item 24 November 1999, ``Of entropy and keys'', School of Mathematical Sciences, University of Sussex, Brighton. \item 10 February 2000, public seminar in ``Trust, information and privacy: theory of {\em secret writings} and their legal issues'', Universit\`a Cattolica del Sacro Cuore, Brescia. \item 23 May 2001, ``Intersection of Hermitian varieties'', Universit\`a di Brescia. \item 5 December 2001, ``Hermitian varieties over finite fields: why?'', Universit\`a Cattolica del Sacro Cuore, Brescia. \item 10 April 2002, ``Caps and ovoids in the Hermitian surface: a comutational approach'', Universit\`a di Brescia. \item 11 July 2002, ``An introduction to modern cryptography: from RSA to AES'', Summer School ``Giuseppe Tallini'' 2002, Brescia. \item 5 February 2003, ``Introduction to Coding theory'', Universit\`a Cattolica del Sacro Cuore, Brescia. \item 12 February 2003, ``From Codes to Designs'', Universit\`a Cattolica del Sacro Cuore, Brescia. \item 6 November 2003, ``Incidence configurations in the Hermitian surface'', Giornate di Geometria, Universit\`a Cattolica del Sacro Cuore, Brescia. \item 20 November 2003, ``Mathematics plus secrecy'', Museum of Sciences, Brescia. \item 4 May 2004, ``Finite geometry and Cryptography'', Politecnico di Bari. \item 6 May 2004, ``Finite fields in C++'', Dipartimento di Matematica, Universit\`a di Napoli. \item 9 September 2005, ``A defense of cryptography'', Universit\`a della Basilicata. \item 29 May 2006 and 31 May 2006, ``An introduction to algebraic decoding of cyclic codes'', Facolt\`a di Ingegneria, Universit\`a di Brescia. \item 25 October 2006, ``Security, privacy and secrecy: several faces of cryptography'', Dipartimento di matematica, Universit\`a di Bari. \item 21 November 2006, ``Reed--Solomon codes'', Facolt\`a di Ingegneria, Universit\`a di Brescia. \item 23 Novembre 2006, ``Cryptography of (in)security'', Facolt\`a di Ingegneria, Universit\`a di Brescia. \item 4 and 6 December 2006, ``Uses of cryptography: from secrecy to security'', Facolt\`a di Economia di Bari. \item 5 December 2008, ``Elliptic Curves: theory'', Universit\`a Cattolica, Brescia \item 13 February 2009, ``Elliptic Curves: practice'', Universit\`a Cattolica, Brescia. \item 8 April 2009, ``Non--binary BCH codes'', Dipartimento di Matematica, Universit\`a Federico II, Napoli. \item 30 January 2010, ``Geometry and codes'', Worshop in honor of M.Marchi, Universit\`a Cattolica, Brescia. \item 29 October 2010, ``Mathematics and secrets'', Universit\`a Cattolica, Brescia. \item From 15 till 21 May 2011 L.~Giuzzi has been a guest of the Mathematics Department of the University of Gent (BE). \item 15 March 2012, ``Non--linear codes'', Dipartimento di Matematica, Universit\`a Federico II, Napoli. \item 24 April 2012, ``Algebraic and geometric methods in cryptography'', Dipartimento di Matematica, Politecnico di Milano. \item 21 January 2014, ``Strutture geometriche, combinatorica ed applicazioni'', DICATAM, Universit\`a di Brescia. \item 28 May 2019, ``Polar Grassmannians'', Universit\`a di Siena. \item 04 March 2026, ``Codes from Incidence Geometries'', Neuchatel - St.Gallen - Zurich Seminar in Coding Theory and Cryptography, University of Zurich. \end{enumerate} \section{Summary of research interests} \begin{enumerate} \item Incidence geometries. \item Coding theory and Cryptography. \item Finite geometries and varieties over finite fields. %\item Graph designs. \end{enumerate} \section{Computer skills} \begin{enumerate} \item Very good knowledge of Linux (since 1994); \item Experience as system administrator of Solaris (from 2.5 up to 2.8) and Digital Unix (4.0A - 4.0E) systems; \item Good knowledge of C and C++; knowledge of Julia. \item Good knowledge of HTML, XHTML and CSS; \item Working knowledge of several Computer Algebra systems. \end{enumerate} \begin{comment} \section{Summary of recent work} \subsection{Ovoids of the Hermitian surface} An ovoid $\cO$ of the polar space arising from the non--degenerate Hermitian surface $\cH(3,q^2)$ consists of $q^3+1$ points in $\cH(3,q^2)$ meeting each generator of the surface in exactly one point. The so--called {\em classical ovoid} is provided by the intersection of the Hermitian surface with a non--tangent plane. However, computational evidence suggests that there are several classes of possible ovoids. Recently, a new family of non--classical ovoids has been found and characterised. Current research is aimed towards the construction of derivations of known non--classical ovoids which produce non--isomorphic ones. \subsection{Hermitian varieties over finite fields} In the DPhil thesis ``Hermitian varieties over finite fields'', some of the properties of the configurations arising from the intersection of Hermitian varieties in a finite projective space have been investigated. \par The following results have been obtained: \begin{enumerate} \item the full linear collineation group stabilising the intersection of two Hermitian curves has been determined and it has been proven that if two such intersections determine the same point-line incidence structure, then they are projectively equivalent; \item a new proof of the characterisation of the classical unital as the unital in $\PG(2,q^2)$ stabilised by a cyclic collineation group of order $q^2-q+1$ has been provided; \item the point-line-plane configurations arising from the intersection of two Hermitian surfaces have been described; \item the list of possible cardinalities for the intersection of any two Hermitian varieties in $\PG(n,q^2)$ has been determined. \end{enumerate} The current research deals with complete systems of subspaces on a Hermitian Surface and the possibility of describing such systems as algebraic sub--varieties. \subsection{Cryptography and geometry} \begin{enumerate} \item A well--known example of pseudo--random binary sequence is provided by the orbit of a point of $\PG(n,2)$ under the action of a Singer cycle; however, such a sequence is of no cryptographic value. The aim of the research, given a design $D$, is to determine the properties of sequences generated by a suitable cyclic group of automorphisms of $D$. \item It is possible to provide an algorithm which describes the group operation in the Jacobian of some hyper-elliptic curves. A project is being carried out in order to implement this algorithm in C and evaluate its performance and security with respect to traditional elliptic curve cryptography and design suitable `paddings' for data to be encoded. \end{enumerate} \subsection{Fibred algebraic structures and related geometries} An algebraic structure $(A,\cdot,1)$ is {\em fibred}, if and only if $A$ is the union of some subsets $A_1,\ldots, A_n$ such that: \begin{enumerate} \item if $i\neq j$, then $A_i\cap A_j=\{1\}$; \item for any $i=1,\ldots n$, $(A_i,\cdot_{\mid A_i},1)$ is a proper substructure of $(A,\cdot,1)$. \end{enumerate} Given a fibred structure $(A,\cdot,1)$, it is possible to build an incidence configuration $(P,L,\in)$, whose set of points is the set $A$ and whose set of lines is \[ L=\{ x\cdot A_i : x\in A; i=1,\ldots,n \}. \] \par In the {\em tesi di laurea} ``Gruppi di Frobenius e strutture geometriche associate'', the incidence structure arising from the fibration of a finite Frobenius group has been studied and some of its properties have been listed. \par A family of co--Minkowski planes has been investigated in ``co--Minkowski spaces, their reflection structure and K-loops'' and a new infinite family of K--loops which are fibred in sub--groups has been determined. \end{comment} \input{descr_eng} \input{curriculum-epilogue} \end{document} %%% Local Variables: %%% mode: latex %%% TeX-engine: luatex %%% ispell-local-dictionary: "british" %%% TeX-PDF-mode: t %%% TeX-master: t %%% End: