The activity in mathematical analysis is mainly focussed on ordinary and partial differential equations, on dynamical systems, on the calculus of variations, and on control theory. Connections of these topics with differential geometry are also developed.The activity in mathematical modelling is oriented to subjects for which the main technical tools come from mathematical analysis. The present themes are multiscale analysis, mechanics of materials, micromagnetics, modelling of biological systems, and problems related to control theory.The applications of mathematics developed in this course are related to the numerical analysis of partial differential equations and of control problems. This activity is organized in collaboration with MathLab for the study of problems coming from the real world, from industrial applications, and from complex systems.

## Towards a continuous dynamic model of the Hopfield theory on neuronal interaction and memory storage

## Studi in SISSA

La SISSA fornisce alcune borse a studenti PhD di altre Università per un breve periodo a Trieste al fine di frequentare corsi PhD dell'Area di Matematica.

L'obiettivo è di dare al maggior numero di studenti possibile l'opportunità di beneficiare della nostra offerta formativa. Clicca qui per accedere alla lista completa dei corsi (più di 40 ogni anno).## Le Borse

Le borse sono di 500€/mese. La selezione delle applicazioni è eseguita su richiesta che può essere effettuata tramite il seguente form online https://math.sissa.it/content/application-sis La richiesta deve contenere:- una breve descrizione dell'eventuale periodo di visita in SISSA ed una lista dei corsi a cui si è interessati
- curriculum vitae
- una lettera di referenza

## SISSA

- ambiente scientifico molto stimolante
- stretto contatto con gli studenti di PhD
- intensa attività seminariale
- numerosi professori visitatori di grande prestigio
- tutor e percorsi formativi personalizzati
- corsi di avviamento alla ricerca

## Research topics

- Analisi Geometrica
- Analisi Nonlineare
- Analisi Numerica
- Calcolo delle Variazioni
- Geometria Algebrica
- Geometria Non Commutativa
- Geometria Stocastica
- Leggi di Conservazione
- Meccanica dei Materiali
- Meccanica Quantistica
- PDE
- Sistemi Dinamici
- Sistemi Integrabili
- Teoria del Controllo
- Teoria delle Stringhe

Per ulteriori informazioni, contattare: lerario@sissa.it

## Study in SISSA Fellowships

SISSA awards some fellowships to PhD students from other EU universities for spending a short period in Trieste to attend some PhD courses offered by the Mathematics Area.

Our intent is to give to as many students as possible the opportunity to benefit of our educational offer. The complete list of the courses (more than 40 every year) can be found here.## The fellowhips

The fellowships are 500 Euros/month.The selection of applicants is on a rolling basis and the application can be done through this link https://math.sissa.it/content/application-sis The application should contain:- a short description of the period the student intend to visit SISSA and the courses he/she is interested to attend
- a curriculum vitae
- one reference letter

## SISSA

- stimulating scientific environment
- close contact with professors and PhD students
- intense seminar activity
- various visiting professors from other prestigious institutions
- tutor and personalized curriculum for each fellow
- research oriented courses

## Research topics

- Algebraic Geometry
- Calculus of Variations
- Conservation Laws
- Control Theory
- Dynamical Systems
- Geometric Analysis
- Integrable Systems
- Mechanics of Materials
- Non-commutative Geometry
- Nonlinear Analysis
- Numerical Analysis
- PDE
- Quantum Mechanics
- Stochastic Geometry
- String Theory

For additional information, please contact: lerario@sissa.it