Periodic Reporting for period 2 - INdAM-DP-COFUND-2015 (INdAM Doctoral Programme in Mathematics and/or applications cofunded by Marie Sklodowska-Curie actions)
Periodo di rendicontazione: 2019-02-01 al 2022-01-31
The main feature of the Programme is to create a large network, coordinated by INdAM, of 20 Academic partner organisations (Universities) with their 21 PhD Schools, and 31 non-academic organisations, especially industries and enterprises, in order to build a multicultural and stimulating environment where excellence, interdisciplinarity, international and intersectoral exposure can offer to the fellows top-level training, research and working conditions.
The network comprises around one half of the Italian PhD Schools covering Mathematics or Computer Science, and a large number of enterprises and industries. The features of the programme match all the objectives of the European Charter for Researchers and the Code of Conduct for their recruitment, in terms of Research Freedom, Non-discrimination and gender balance, Career development, value of mobility, Access to research training and continuous development, Recruitment.
The programme complies also with the Principles of Innovative Doctoral Training:
-Research Excellence, offering to the fellows a large choice of PhD schools and excellent research teams in all domains of mathematics and its applications; each partner organization hosts an INdAM research unit which will contribute to the success of each fellow's program. -Attractive Institutional Environment, offering fellows constant interaction and support with INdAM's national and international scientific structures with the possibility of interacting with other partner organizations and prestigious foreign organizations;
-Interdisciplinary Research Options; the programme is open to every aspect of current research including the most applied and interdisciplinary aspects of Mathematics. In addition to Mathematics and/or its applications, Computer Science is available in 7 schools, Statistics in 2 schools, Physics in 1 schools, Life Sciences in 1 school, Mathematical models in 1 schools, Mathematical models in Engineering in 1 school.
-International networking. Provided by: the existing international networks of INdAM and of the partner Universities; the contacts with visiting professors, both at INdAM and at Research Groups; the participation to INdAM Conferences and INdAM Workshops, collaborations with foreign top-level universities and institutes.
-Transferrable skills training. Provided by collateral training and secondment periods at the partner organisations and at the enterprises and industries involved in the Programme.
-Quality assurance. Transparent procedures for the selection and the award of fellowships, including appropriate redress procedures. Quality assurance for the PhD schools themselves, including procedures for awarding the final title, are checked by ANVUR (the Italian Committee for Evaluation of Research).
-Working conditions. Fellows are recruited under a contract “Assegno di ricerca”, which includes social security coverage and social benefits (contribution to pension funds, health and accident insurance, maternity/parental benefits, including paid parental leave). Moreover INdAM will pay a mobility allowance, a travel allowance and a research cost contribution for the fellow.
The programme consists of two calls. The duration of the programme is 60 months. The total number of fellowships: 20. The total number of fellow-month: 720.
The network comprises around one half of the Italian PhD Schools covering Mathematics or Computer Science, and a large number of enterprises and industries. The features of the programme match all the objectives of the European Charter for Researchers and the Code of Conduct for their recruitment, in terms of Research Freedom, Non-discrimination and gender balance, Career development, value of mobility, Access to research training and continuous development, Recruitment.
The programme complies also with the Principles of Innovative Doctoral Training:
-Research Excellence, offering to the fellows a large choice of PhD schools and excellent research teams in all domains of mathematics and its applications; each partner organization hosts an INdAM research unit which will contribute to the success of each fellow's program. -Attractive Institutional Environment, offering fellows constant interaction and support with INdAM's national and international scientific structures with the possibility of interacting with other partner organizations and prestigious foreign organizations;
-Interdisciplinary Research Options; the programme is open to every aspect of current research including the most applied and interdisciplinary aspects of Mathematics. In addition to Mathematics and/or its applications, Computer Science is available in 7 schools, Statistics in 2 schools, Physics in 1 schools, Life Sciences in 1 school, Mathematical models in 1 schools, Mathematical models in Engineering in 1 school.
-International networking. Provided by: the existing international networks of INdAM and of the partner Universities; the contacts with visiting professors, both at INdAM and at Research Groups; the participation to INdAM Conferences and INdAM Workshops, collaborations with foreign top-level universities and institutes.
-Transferrable skills training. Provided by collateral training and secondment periods at the partner organisations and at the enterprises and industries involved in the Programme.
-Quality assurance. Transparent procedures for the selection and the award of fellowships, including appropriate redress procedures. Quality assurance for the PhD schools themselves, including procedures for awarding the final title, are checked by ANVUR (the Italian Committee for Evaluation of Research).
-Working conditions. Fellows are recruited under a contract “Assegno di ricerca”, which includes social security coverage and social benefits (contribution to pension funds, health and accident insurance, maternity/parental benefits, including paid parental leave). Moreover INdAM will pay a mobility allowance, a travel allowance and a research cost contribution for the fellow.
The programme consists of two calls. The duration of the programme is 60 months. The total number of fellowships: 20. The total number of fellow-month: 720.
The project is composed of 2 separate calls. The life cycle of each call is divided in five phases:
Phase 1. Call and website are prepared and published
Phase 2. Applications are submitted
Phase 3. Applications are evaluated
Phase 4. Fellowships are awarded
Phase 5. Ph. D. studies are carried out.
In months 25-60 both calls completed Phase 5. The fellows concluded their studies at their institutions.
The following fellows already completed their Ph.D.
Nikolaos Chalmoukis “Interpolation problems in Dirichlet type spaces”.
Sergio Cruz Blázquez “Prescribing scalar and mean curvatures on manifolds with boundary”.
Mathilde Galinier “Convolutional neural networks for inverse problems with pseudodifferential operators:an application to limited-angle tomography”.
Manoj Gyawali “Some Objects from Algebraic Geometry and their Application to Post-Quantum Cryptography”.
Diki Kamal “Reproducing kernel techniques and polyanalytic function theory in hypercomplex analysis”.
Nhu Ngoc Nguyen “Variational Solutions of the linearized Boltzmann equation for thermal-driven gas flows in microchannels”.
Ulrich Von der Ohe “Toward a structural theory of learning algebraic decompositions”.
Andrea Thomann “Numerical methods for all-speed flows for the Euler equations including well-balancing of source terms”.
Franziskus Wolfgang Josef Wiesnet “The computational Content of Abstract Algebra and Analysis”.
Rémi Bignalet-Cazalet “About determinantal Cremona maps”.
Luis Ferroni Rivetti “The Ehrhart Theory of Matroid Polytopes”.
Denis Deniz González “On quaternionic operator theory and fractional powers of vector operators”.
Aleksandr Dzhugan “Advanced properties of some nonlocal operators”.
Morgan Rogers “From discrete to topological monoids, through a lens of geometry, logic and category theory”.
Christiaan Jozef Farielda Van de Ven “Quantum Systems and their Classical Limit”.
The following fellows completed their thesis and will obtain their Ph.D shortly:
Yulieth Katterin Prieto Montañez “Automorphisms on Algebraic Varieties: K3 Surfaces, Hyperkähler Manifolds, and Applications on Ulrich Bundles.”
Yukihide Nakada “On properties of p-adic cohomologies”.
Benedikt Weneger :Gauge Inequivalence, Energy Inequalities and Entanglement in Algebraic Quantum Field Theory".
INdAM has offered to the fellows a large choice of meetings, seminars, courses, schools, intensive periods either directly organized by the Institute or by other Institutions under special agreements.
During the period the fellows attended over 100 conferences and 15 workshops, giving 42 talks. Moreover they held 23 seminars at institutions different from the hosting instituion and several fellows spent visiting period in guest institutes both in Italy and abroad. They have published 41 papers in peer-reviewed journal, 20 preprints, and 3 papers in proceedings of conferences.
Phase 1. Call and website are prepared and published
Phase 2. Applications are submitted
Phase 3. Applications are evaluated
Phase 4. Fellowships are awarded
Phase 5. Ph. D. studies are carried out.
In months 25-60 both calls completed Phase 5. The fellows concluded their studies at their institutions.
The following fellows already completed their Ph.D.
Nikolaos Chalmoukis “Interpolation problems in Dirichlet type spaces”.
Sergio Cruz Blázquez “Prescribing scalar and mean curvatures on manifolds with boundary”.
Mathilde Galinier “Convolutional neural networks for inverse problems with pseudodifferential operators:an application to limited-angle tomography”.
Manoj Gyawali “Some Objects from Algebraic Geometry and their Application to Post-Quantum Cryptography”.
Diki Kamal “Reproducing kernel techniques and polyanalytic function theory in hypercomplex analysis”.
Nhu Ngoc Nguyen “Variational Solutions of the linearized Boltzmann equation for thermal-driven gas flows in microchannels”.
Ulrich Von der Ohe “Toward a structural theory of learning algebraic decompositions”.
Andrea Thomann “Numerical methods for all-speed flows for the Euler equations including well-balancing of source terms”.
Franziskus Wolfgang Josef Wiesnet “The computational Content of Abstract Algebra and Analysis”.
Rémi Bignalet-Cazalet “About determinantal Cremona maps”.
Luis Ferroni Rivetti “The Ehrhart Theory of Matroid Polytopes”.
Denis Deniz González “On quaternionic operator theory and fractional powers of vector operators”.
Aleksandr Dzhugan “Advanced properties of some nonlocal operators”.
Morgan Rogers “From discrete to topological monoids, through a lens of geometry, logic and category theory”.
Christiaan Jozef Farielda Van de Ven “Quantum Systems and their Classical Limit”.
The following fellows completed their thesis and will obtain their Ph.D shortly:
Yulieth Katterin Prieto Montañez “Automorphisms on Algebraic Varieties: K3 Surfaces, Hyperkähler Manifolds, and Applications on Ulrich Bundles.”
Yukihide Nakada “On properties of p-adic cohomologies”.
Benedikt Weneger :Gauge Inequivalence, Energy Inequalities and Entanglement in Algebraic Quantum Field Theory".
INdAM has offered to the fellows a large choice of meetings, seminars, courses, schools, intensive periods either directly organized by the Institute or by other Institutions under special agreements.
During the period the fellows attended over 100 conferences and 15 workshops, giving 42 talks. Moreover they held 23 seminars at institutions different from the hosting instituion and several fellows spent visiting period in guest institutes both in Italy and abroad. They have published 41 papers in peer-reviewed journal, 20 preprints, and 3 papers in proceedings of conferences.
The mathematical sciences underpin a broad range of science, engineering, and technology. Many mathematicians are motivated by such applications, and they target their work so as to create particular mathematical and statistical understanding and capabilities. Offering talented young people highly qualified training opportunities in mathematics is a key investment not only for the ERA but, indeed, for the all high tech-based European economy. By its very nature, top-level mathematical training, even when apparently far from applications, is deeply intertwined with the developments of general sciences, technology and industry.
Taking into account the very high standards needed to be awarded a Ph. D. in mathematics, all the fellows made many original and noteworthy contribution in their chosen field. This is testified also by the high number of publications already made by the fellows. As customary more papers, based on the research done during their Ph. D. program will be published in the near future.
The research done by the fellows will have a broad impact not only on mathematics but also in other disciplines such as Medicine, Finance, Astrophisics, Cyber-security, Engineering, Metereology, Physics, just to mention a few.
Taking into account the very high standards needed to be awarded a Ph. D. in mathematics, all the fellows made many original and noteworthy contribution in their chosen field. This is testified also by the high number of publications already made by the fellows. As customary more papers, based on the research done during their Ph. D. program will be published in the near future.
The research done by the fellows will have a broad impact not only on mathematics but also in other disciplines such as Medicine, Finance, Astrophisics, Cyber-security, Engineering, Metereology, Physics, just to mention a few.