Superfici topologiche compatte e curve algebriche

La tesi affronta la classificazione delle superfici compatte e prive di bordo. Successivamente, si vede un'applicazione del teorema di classificazione alle curve algebriche proiettive complesse, non singolari e irriducibili.

Zeros da função zeta de Riemann e o teorema dos números primos

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Realizzazione di riporti funzionalizzanti su superfici ceramiche per la produzione di energia elettrica mediante effetto fotovoltaico

This research, carried out during the PhD in Materials Engineering, deals with the creation of layers, with different functionality, deposited on a ceramic substrate, to obtain photovoltaic cells for electricity production. The research activities are included in the project PRRIITT, Measure 4 (Development of Networks), Action A (Research and Technology Transfer Laboratories), Thematic reference 3 (Advanced materials applications development), co-financed by the Emilia Romagna Region, for the creation of CECERBENCH laboratory, which aims to develop "Tiles with a functionalised surface”. The innovation lies in the study of materials and in the development of technologies to achieve a "photovoltaic surface", directly in the tiles production process. The goal is to preserve the technical characteristics, and to make available new surfaces, exploiting renewable energy sources. The realization of Building Integrated PhotoVoltaic (BIPV) is nowadays a more and more spread tendency. The aims of the research are essentially linked to the need to diversify the actual ceramic tile production (which is strongly present in the Emilia Romagna Region ), and to provide a higher added value to the tiles. Solar energy production is the primary objective of the functionalization, and has a relevant ecological impact, taking into account the overwhelming global energy demand. The specific activities of the PhD were carried out according to the achievement of scientific and technological objectives of CECERBENCH laboratory, and involved the collaboration in design solutions, to obtain the cells directly on the tiles surface. The author has managed personally a part of the research project. Layers with different features were made: - Electrically conductive layers, directly on the ceramic tiles surface; - Layers to obtain the photovoltaic functionality; - Electrically insulating, protective layers (double function). For each layer, the most suitable materials have been selected. Among the technical application, the screen printing was used. This technique, widely used in ceramics, has many application areas, including the electronics and photovoltaic industries. It is an inexpensive technique, easy to use in industrial production lines. The screen printing technique was therefore studied in depth by theoretical considerations, and through the use of rheological measurements.

Sviluppo di biosensori: modifiche di superfici elettrodiche e sistemi di immobilizzazione enzimatica

An amperometric glucose biosensor was developed using an anionic clay matrix (LDH) as enzyme support. The enzyme glucose oxidase (GOx) was immobilized on a layered double hydroxide Ni/Al-NO3 LDH during the electrosynthesis, which was followed by crosslinking with glutaraldehyde (GA) vapours or with GA and bovine serum albumin (GABSA) to avoid the enzyme release. The electrochemical reaction was carried out potentiostatically, at -0.9V vs. SCE, using a rotating disc Pt electrode to assure homogeneity of the electrodeposition suspension, containing GOx, Ni(NO3)2 and Al(NO3)3 in 0.3 M KNO3. The mechanism responsible of the LDH electrodeposition involves the precipitation of the LDH due to the increase of pH at the surface of the electrode, following the cathodic reduction of nitrates. The Pt surface modified with the Ni/Al-NO3 LDH shows a much reduced noise, giving rise to a better signal to noise ratio for the currents relative to H2O2 oxidation, and a linear range for H2O2 determination wider than the one observed for bare Pt electrodes. We pointed out the performances of the biosensor in terms of sensitivity to glucose, calculated from the slope of the linear part of the calibration curve for enzimatically produced H2O2; the sensitivity was dependent on parameters related to the electrodeposition in addition to working conditions. In order to optimise the glucose biosensor performances, with a reduced number of experimental runs, we applied an experimental design. A first screening was performed considering the following variables: deposition time (30 - 120 s), enzyme concentration (0.5 - 3.0 mg/mL), Ni/Al molar ratio (3:1 or 2:1) of the electrodeposition solution at a total metals concentration of 0.03 M and pH of the working buffer solution (5.5-7.0). On the basis of the results from this screening, a full factorial design was carried out, taking into account only enzyme concentration and Ni/Al molar ratio of the electrosynthesis solution. A full factorial design was performed to study linear interactions between factors and their quadratic effects and the optimal setup was evaluated by the isoresponse curves. The significant factors were: enzyme concentration (linear and quadratic terms) and the interaction between enzyme concentration and Ni/Al molar ratio. Since the major obstacle for application of amperometric glucose biosensors is the interference signal resulting from other electro-oxidizable species present in the real matrices, such as ascorbate (AA), the use of different permselective membranes on Pt-LDHGOx modified electrode was discussed with the aim of improving biosensor selectivity and stability. Conventional membranes obtained using Nafion, glutaraldehyde (GA) vapours, GA-BSA were tested together with more innovative materials like palladium hexacyanoferrate (PdHCF) and titania hydrogels. Particular attention has been devoted to hydrogels, because they possess some attractive features, which are generally considered to favour biosensor materials biocompatibility and, consequently, the functional enzyme stability. The Pt-LDH-GOx-PdHCF hydrogel biosensor presented an anti-interferant ability so that to be applied for an accurate glucose analysis in blood. To further improve the biosensor selectivity, protective membranes containing horseradish peroxidase (HRP) were also investigated with the aim of oxidising the interferants before they reach the electrode surface. In such a case glucose determination was also accomplished in real matrices with high AA content. Furthermore, the application of a LDH containing nickel in the oxidised state was performed not only as a support for the enzyme, but also as anti-interferant sistem. The result is very promising and it could be the starting point for further applications in the field of amperometric biosensors; the study could be extended to other oxidase enzymes.