The recent progress in several fields of theoretical physics (such as high energy physics, astrophysics, quantum and nonlinear optics or condensed matter physics) required numerous very sophisticated mathematical tools. In these frontline research fields, it became clear that a new understanding of physical systems going from cold atom gases to black holes is impossible without a new insight into underlying mathematical structures. This kind of problems requires a new interdisciplinary approach and specialists with double competence: in Physics and in different fields of modern Mathematics.
The main aim of the Master Program In Mathematical Physics (Math4Phys) is to provide advanced lectures on the mathematical methods of modern theoretical physics in the framework of a mathematical curriculum. Such an offer exists in France only in Dijon as the Mathematical Physics group of the IMB (Burgundy Mathematical Institute) provides a unique environment for a program requiring a double competence in Mathematics and Physics. The Mathematical Physics group of the IMB laboratory in Dijon is a unique research team in France with a capacity to provide advanced lectures in mathematical problems of modern physics. It permits to create a scientific environment for a master program focused on the most important problems of modern Physics from the mathematical perspective.
We offer lecture courses for the students with background in mathematics or mathematical physics giving an introduction to the mathematical methods used for such branches of theoretical physics as quantum field theory, statistical mechanics, general relativity, gauge theories, string theory, etc. The coursework covers different fields of mathematics (algebra, geometry, analysis) and highlights their applications to the problems of modern theoretical physics. The students are integrated from the very beginning into the mathematical physics group of the IMB and have to prepare by the end of each year a master dissertation.
The first year (M1) of the program is designed to provide the necessary background courses (mostly in mathematics but also in physics) to comply with the coursework of the more advanced second year. In particular, the M1 program includes the following subjects:
1. Differential geometry
2. Fourier analysis
3. Functional analysis
4. Groups and representations
5. Mathematical methods of classical mechanics
6. Partial differential equations
7. Quantum physics
8. Numerical methods
The second year lecture coursework includes the following lecture courses:
1. Mathematical methods of quantum physics
2. Riemann geometry and integrable systems
3. Lie groups and Lie algebras
4. Cohomological field theories
5. Quantum groups
6. Geometry and physics of blackhole spacetimes
We will also provide several mini courses by the research visitors of IMB. More detailed program of the second year courses can be found on the program webpage
The main aim of the master program is to provide sufficient training to start a PhD preparation.
Maximum enrolment 20 in M1 and 15 in M2
To apply for the Master program in Mathematical Physics students should send a CV, a short description of their previous coursework (in Mathematics and Physics) and eventually a motivation letter to the program coordinator:
For M1: Giuseppe Dito ([email protected])
For M2: Nikolai Kitanine ([email protected])
Accepted students should proceed with the formal application procedure available here.
The students applying for the M1 have to complete their undergraduate studies with major in Mathematics or Physics. The students can apply directly for the second year (M2) if they have completed at least one year of graduate courses in Mathematics or Mathematical Physics.
To follow the program the students should have a sufficient proficiency in English (we don’t require TOEFFL or an equivalent certificate but we can suggest an online interview to candidates).
Several fellowship grants (600 € per month, during up to 9 months) will be awarded each year to high quality foreign students,
The proposed master program aims at training students in fundamental, both theoretical and experimental, physics with applications in photonics, nanotechnology, and quantum technologies. This combination, innovative at the level of a master program, is well aligned with priority investments in research at the European and international level, with thematic areas of growing demand for highly trained students, able to embark in a doctoral programme. This two-year master programme, fully taught in English for international students, is part of the Graduate School of Sciences of the University Bourgogne Franche-Comté (UBFC). It consists in both lessons and research project (3 month during the first year) / internship (5 months during the second year). This training program will be based on the internationally highly recognised research activities of the underlying laboratories ICB, Dijon and FEMTO-ST, Besançon.
This two-year master programme, fully taught in English for international students, combines macroscopic with nano- and quantum-scale topics. The programme aims at developing and improving students’ skills in fundamental optical physics, optical fibre communications, optoelectronics, laser technologies, ultrafast femtosecond optics, quantum information science, nanophotonics, nano-microscopy and nano-biosciences. This combination, innovative at the level of a master program, is well aligned with priority investments in research at the European and international level, and with thematic areas of growing demand for highly trained students.
The master programme is part of the Graduate School of Sciences of the University Bourgogne Franche-Comté (UBFC), Engineering and Innovation through Physical Sciences and High-technologies (EIPHI), which also includes a doctoral programme in the same topics.
Almost half of the programme is devoted to research project (3 month during the first year) & internship (5 months during the second year) in an international research team, leading to a master thesis aiming at the standards of a research article. This training program will be based on the internationally highly recognised research activities of the underlying laboratories ICB, Dijon and FEMTO-ST, Besançon, both having high international visibility in photonics, quantum technologies, nanotechnology and Engineering Sciences with researchers of high reputation.
Teaching consists of lectures, seminars by international researchers (both from the ICB & FEMTO-ST laboratories and from international partner universities), class tutorials, practical training & research work in laboratory, soft skills by professional coaches, technology and entrepreneurial courses by industrial partners, and French culture and language.
Photonics is a very dynamic industrial sector in Europe and holds the potential for huge market growth. It has a substantial leverage effect on the European economy and workforce: 20-30% of the economy and 10% of the workforce depend on photonics, directly impacting around 30 million jobs. The master program offers intensive educational activities based on research activities of photonics, including nanophotonics and quantum technologies. It focuses on fundamental & applied research mainly targetting PhD programs, which will lead to recruitment in academia or in industry. A need of master degree students in the field of photonics & nanotechnologies, including specialties in quantum technologies boosted by the European flagship in Quantum Technologies (launched in 2018), able to embark on a PhD program both in academia & industry will strongly increase in a near future.
The master's Alumni Office helps alumni keep in touch with each other and organises alumni events.
The two-year master program takes place at the University of Burgundy-Franche Comté, located in the scenic cities of Dijon & Besançon. The former capital city of the Duchy of Burgundy, Dijon is a medium-size French city, where you can enjoy a vibrant and active cultural life, as well as quick getaways to the countryside and the world famous neighbouring vineyards of the so-called “Golden coast” (city center, climates of the Burgundy vineyard, and gastronomy listed as world heritage sites in Dijon by Unesco). Life in Dijon is very affordable and accommodation easily accessible. The city is well-equipped with modern tramway and bus lines, making commuting between any place in Dijon and the University easy and convenient. Dijon is also host of several top-level professional sports teams (football, basketball, handball, rugby…), while also offering a large diversity of sports facilities.
Students eligible to the master program PPN must have obtained a degree equivalent to or higher than a Bachelor of Science. Background knowledge in general physics, optics, electromagnetism and quantum physics is mandatory. Candidates must have very good academic qualifications and a very good practice of English.
Many scholarships will be awarded each year to high quality foreign students.
During the first year, students have to pass the examinations associated with the Master 1 (60 ECTS credits) in order to proceed to the second year, Master 2 (60 ECTS), including research project and master thesis (33 ECTS).
For further information about how to apply, please directly contact the head of the master program, Professor Stéphane Guérin ([email protected]) and visit the webpage (http://www.ubfc.fr/formationen/).
Please also visit our dedicated webpage (http://blog.u-bourgogne.fr/master-ppn/).
The Master PICS program provides a comprehensive program of courses covering theoretical, experimental and engineering aspects of photonics, micro/nano technologies, time-frequency metrology, information theory and complex systems. It is delivered by the University of Bourgogne Franche-Comté (UBFC) in the city of Besançon. It is designed to cover a selection of topics at the interface of physics and engineering sciences, closely integrated with domains of research excellence developed in the Region of Bourgogne Franche-Comté (BFC). The master’s program also provides complementary courses in disciplinary and interdisciplinary knowledge, as well as broad digital, societal, cultural, environmental, and entrepreneurial skills. It is open to students with undergraduate physics degrees, and it aims to provide complementary courses to prepare students for careers in either industry or for future PhD level studies. The PICS masters is strongly supported by the FEMTO-ST Institute and the ICB Laboratory, research institutions with major international reputations in Physical Sciences and Engineering. The PICS Master’s program has received a national label as a Master’s of Excellence for Engineering and Research, entitled CMI (“Cursus master en Ingénierie”) which is delivered by the CMI-FIGURE network which consists of 28 universities in France.
Photonics and nanotechnologies are one of the 6 Key Enabling Technologies identified by the European Commission as sources of innovation and competitiveness for the future. They are technological sectors that feed competitive and fast-growing markets (environment, health, automotive, safety, etc.) and there is a strong need for qualified graduates to support developing European Industry. When compared to other French Masters programs in similar fields, the particular novelty of the Masters PICS is that it focuses on teaching multi-disciplinary skills on both the practical and fundamental level in a very wide range of topics: photonics, micro and nano-optics, quantum optics, micro-nanotechnologies, instrumentation, time-frequency metrology, micro-oscillators, micro- and nano-acoustics, bio-photonics, and complex systems.
The FEMTO-ST and ICB Institutes are the underlying UBFC laboratories that support the master PICS program. The FEMTO-ST Institute in Besançon (http://www.femto-st.fr/en/), with more than 750 staff, is one of the largest laboratories in France in Engineering Sciences, having high international visibility in photonics, nanotechnology and time frequency technology. The ICB Institute in Dijon (icb.ubourgogne.fr/en/), with a staff of 300 people, is also an underlying UBFC laboratory of the PICS master’s. The PICS master’s program is based on the internationally highly recognized research activities of all these laboratories in photonics, micro & nanotechnologies, time-frequency and complex systems, with teaching and supervision being performed by renowned and highly qualified researchers (professors, assistant professors, or full-time CNRS researchers).
The courses, taught in English (see Teaching section), are divided between lectures, exercises/tutorials, practical labs and project activities. Students will be immersed in the labs from their 1st year of study, closely connected with the research groups via lab projects that will run throughout semester 1 to 3. Individual supervision will be provided to all students, combining a personal project advisor and a mentor.
A one-semester research internship in semester 4 can be carried out at FEMTO-ST, ICB, or a local or national industry partner. Students also have the possibility to obtain significant international experience by carrying out Master’s Internships (5-6 months) abroad at internationally-renowned universities having strong research collaborations with FEMTO-ST and ICB. The proposed PICS Master’s program is also based on strong interactions with high-tech industrial partners both at the local and international levels.
The PICS master’s program takes place over 2 academic years divided into 4 semesters. Each semester corresponds to an accreditation of 30 ECTS, which leads to a total at the end of 120 ECTS. The program has an extensive international flavor, with all courses taught in English, except two modules of 3 ECTS in semesters 1 and 3 that will introduce French culture and language for foreign students, and organized in close connection with another master’s programs. We offer the opportunity to obtain French language certification (B2 at minimum). The teaching staff are highly qualified researchers with international recognition and all teaching staff are fluent in English, with many at native or near-native level.
Photonics and micro/nano technologies are very dynamic industrial sectors in Europe and hold the potential for huge market growth. It has a substantial leverage effect on the European economy and workforce: 20-30% of the economy and 10% of the workforce depend on photonics, directly impacting around 30 million jobs.
The master program offers intensive educational activities based on high level research activities in these domains. It focuses on fundamental & applied research mainly targeting careers in industry (R&D engineer) or for future PhD level studies either in academic institution or industry.
Students eligible to the master PICS program must have obtained a degree equivalent to or higher than a Bachelor of Science. Background knowledge in general physics, optics, electromagnetism, electronic and quantum physics is mandatory. Candidates must have very good academic qualifications and a very good practice of English.
Besançon is a historical town with a strong university community, and is consistently voted as having an excellent quality of life. It is home to a UNESCO-World Heritage listed citadel and fortifications, and is well known for its proximity to an excellent range of outdoor pursuits including hiking, mountain-biking, skiing and rock-climbing.
Many scholarships will be awarded each year to high quality foreign students.