**Other program opportunities in Europe**

## 5 Results in Mathematics, Italy

The Ph.D. program in Geometry and Mathematical Physics focuses on the study of analytic and geometric aspects of physical phenomena that are of fundamental interest in bo ... [+]

The Ph.D. program in Geometry and Mathematical Physics focuses on the study of analytic and geometric aspects of physical phenomena that are of fundamental interest in both pure and applied sciences and covers a wide spectrum of topics in modern algebraic and differential geometry and their applications.

Research Topics Integrable systems in relation to differential, algebraic and symplectic geometry, as well as with the theory of random matrices, special functions and nonlinear waves, Frobenius manifolds Deformation theory and virtual classes moduli spaces of sheaves and of curves, in relation to supersymmetric gauge theories, strings, Gromov-Witten invariants, orbifolds and automorphisms Quantum groups, noncommutative Riemannian and spin geometry, applications to models in mathematical physics Mathematical methods of quantum mechanics Mathematical aspects of Quantum Field Theory and String Theory Symplectic geometry, sub-Riemannian geometry Geometry of quantum fields and strings Seminar on Hodge theory ... [-]The aim of the Ph.D. Course in Mathematical Analysis, Modelling, and Applications is to educate graduate students in the fields of mathematical analysis and mathematical ... [+]

The aim of the Ph.D. Course in Mathematical Analysis, Modelling, and Applications is to educate graduate students in the fields of mathematical analysis and mathematical modeling, and in the applications of mathematical and numerical analysis to science and technology. The goal is to enable PhDs to work as high-level researchers in these fields in universities, research institutes, and private companies.

Research TopicsThe activity in Mathematical Analysis is mainly focused 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 and reduced order modeling are also developed.... [-]

The PhD curriculum in Mathematics of Natural, Social and Life Sciences at Gran Sasso Science Institute will lead the students to deal not only with the more traditional a ... [+]

The GSSI offers 31 PhD fellowships and invites applications for fellowships for the PhD Programmes in Astroparticle Physics, Mathematics in Natural, Social and Life Sciences, Computer Science, Urban Studies and Regional Science.

The official language for all PhD courses is English.The fellowships are awarded for 4 years and their yearly amount is € 16.159,91 gross. All PhD students have free accommodation at the GSSI facilities and use of the canteen.The application must be submitted through the online form available at www.gssi.it/phd/ by 18 June 2019 at 6 pm (Italian time zone, 6pm).

The Gran Sasso Science Institute (GSSI) is an international PhD school and a center for research and higher education in the areas of Physics, Mathematics, Computer Science and Social Sciences. Founded in 2012 in L’Aquila (Italy) as Center for Advanced Studies of the National Institute for Nuclear Physics (INFN) and then established in March 2016 as a School of Advanced Studies providing post-graduate education. Through a day-to-day collaboration and interaction, researchers and students have the opportunity to build a sound knowledge of the research methods and to experiment contamination of interests, innovative approaches and multicultural exchanges in all the GSSI activities. In addressing the complexity of today’s world, we are committed to removing all barriers between the GSSI areas of study and research, where interdisciplinarity and cross-fertilization underlie everything we do. Among our goals are the dissemination of scientific results towards society and the promotion of cultural events for generic public, citizens and schools.... [-]

The Ph.D. in “Computational Mathematics and Decision Sciences” aims at offering graduate students solid skills in Computational Mathematics, Computational Physics, Scient ... [+]

Models, mathematics, statistics, data, and algorithms are the foundations of our digital world. Computational methods and mathematical analysis are increasingly used for simulation, prediction, data evaluation, analysis, risk assessment, development, and optimization, in virtually every field of Science.

The Ph.D. in “Computational Mathematics and Decision Sciences” aims at offering graduate students solid skills in Computational Mathematics, Computational Physics, Scientific Computing, Statistics, Decision Sciences, Optimization, Machine Learning, as well as an interdisciplinary view of Applied Mathematics, Physics and decision processes under uncertainty. The program gives a solid theoretical and computational grounding for high-level research in universities, international research institutions, and industry.... [-]

Area: Computer Science and Mathematics ... [+]