Consortium

Université de Bordeaux (UBx) Ranked among the top universities in France for the quality of its academic courses and research, the University of Bordeaux is a multidisciplinary, research-focused, international institution.

Campus of Excellence since 2011, the University of Bordeaux develops innovative training, research and knowledge transfer programs in numerous fields of excellence and in partnership with other educational institutes in Bordeaux.

The University welcomes 53000 students, of which almost 2000 are PhD students and 6200 are international students. Around 5600 staff members are employed by the university, of which 4000 are academic and research staff.

Its study programs are organized around four major scientific domains:

• Science and Technology
• Law, Political Science, Economy, Management
• Life and Health Sciences
• Social and Human Sciences

Its research is organized around three departments:

• Science and Technology
• Life and Health Sciences
• Social Sciences and Humanities

Eight doctoral schools ensure support and guidance for PhD students. The research departments group together 70 research laboratories that are under joint supervision with national research organizations (CNRS, Inserm, INRA, INRIA etc.).

This partner is composed of the Concordia University, Centre de Recherches Mathématiques and Institut des Sciences Mathématiques. Concordia University will be the granting degree institution; however, activities will also take place at CRM and ISM.

The Institut des Sciences Mathématiques (ISM) is a consortium of eight Québec universities for training and collaboration in the mathematical sciences. Two of its main aims are to:

• enhance training and research by integrating member researchers into eleven inter-university scientific groups and hiring exceptional postdoctoral fellows;
• contribute to a top level graduate education by coordinating advanced Master’s and doctoral courses, encouraging excellence among graduate students and initiating gifted undergraduates to mathematical research through a variety of scholarships, and organizing seminars and conferences.

The Centre de Recherches Mathématiques (CRM) is one of the three national institutes in mathematical sciences in Canada. It is financed by the government of Canada, the province of Quebec and several universities in Québec. The main part of its scientific activities lies in its world-renowned thematic programming, its scientific workshops and outreach activities, its 1.500 annual visiting scientists from around the world, and nine laboratories directly involving 170 researchers from twelve major universities in Quebec and Ontario. It collaborates with ISM and the Québec universities to help increase the quality of graduate and postgraduate studies in Québec.

The Department of Mathematics and Statistics at Concordia offers programs of Master of Science and doctorate degree. in Mathematics. One of the areas of study is Number Theory & Computational Algebra, which is precisely the area of the ALGANT programme.

Students registered in ALGANT will be able to follow graduate courses in any Montreal university. Through the ISM, the universities coordinate the available courses in algebra and number theory, thus offering a wide spectrum of courses on the subject and allowing all Montreal students registered on that subject to know each other. They will benefit from the Montreal number theory seminar and from the ISM seminar of graduate students. Montreal number theory seminar will put them in contact with all researchers in number theory of the Montreal area. They will also benefit from the scientific activities at CRM: workshops, summer schools, colloquium, etc. They will write a master thesis under the guidance of a professor from one of the Montreal universities.

Universitä of Duisburg-Essen (UDE) is located in one of Europe’s most academically dense regions, home to the highest concentration of higher education institutions. Established in 2003 through the merger of the universities of Duisburg and Essen, UDE is the youngest university in North Rhine-Westphalia and one of the ten largest universities in Germany, with over 35,000 enrolled students and 6,500 academic and non-academic staff. Both campuses are easily accessible and offer students a broad range of academic disciplines with an international focus, covering fields from the humanities and social sciences to economics, engineering, and the natural sciences, including medicine.

The Faculty of Mathematics is located in Essen. There are around 40 Professors at the Faculty working in Algebraic Geometry and Number Theory, Analysis, Didactics of Mathematics, Numerical Mathematics, Optimisation and Stochastics.

The Essen Seminar for Algebraic Geometry and Arithmetic (ESAGA) is one of Germany’s leading research groups in this field, both in terms of size and research output. The group currently includes nine professors: Massimo Bertolini, Ulrich Görtz, Daniel Greb, Georg Hein, Jochen Heinloth, Jan Kohlhaase, Marc Levine, Vytautas Paskunas, and Johannes Sprang. ESAGA is home to 17 postdoctoral researchers and 20 PhD students from more than 10 different countries, many of whom are former ALGANT students. The group offers a wide range of advanced courses and seminars. We uphold an excellent professor-to-student ratio and a supportive, collegial atmosphere. Research activities within ESAGA are partly funded by the German Research Foundation (DFG) through the Research Training Group “Symmetries and Classifying Spaces: Analytic, Arithmetic, and Derived”. This funding enables ESAGA to advertise new PhD positions, invite visiting scholars and organize summer schools and conferences, further enhancing its dynamic research environment.

UDE provides a stimulating and international research setting, making it an ideal place of study for ambitious Master students. To help new international students settle in, the International Office offers support and guidance to ensure a smooth transition to academic and everyday life at UDE.

Universiteit Leiden is a comprehensive and research-intensive university, which was founded in 1575. Its guiding principles are: international orientation; research-intensive education; and maintenance of the high quality of education and research.

The Mathematical Institute of Leiden University is one of the three founding members of the ALGANT consortium. The institute has about 550 students (bachelor and master), roughly 60 doctorate students, and about 60 scientific staff members. Within The Netherlands, it has the largest research group in Algebra, Geometry and Number Theory.

Within the main focus of the project on the areas of Algebra, Geometry and Number Theory, each of which is well represented, Leiden provides special expertise in computational number theory and algebraic geometry, modular forms, Galois representations and cohomology, Arakelov Theory, Diophantine equations. Applications to data security are covered via a collaboration with the cryptology group of the CWI in Amsterdam. Some researchers there have part-time positions at the Mathematical Institute and can supervise doctoral students. The CWI itself is a research institute that does not award degrees.

The Università degli Studi di Milano (USM) offers a multidisciplinary educational programme. The University of Milano is a member of the League of European Research Universities (LERU), its research being ranked among the best in Italy and Europe thanks to its 20 research departments, its active participation in 37 affiliated research centers funded by private sector and its collaborations with 4 leading national research institutions. USM embraces an international vision of cooperation, shared by the European Commission, and undertakes several activities aiming at cross-academic exchanges, welcoming more than 2.000 foreign students yearly. The University’s international relations sector is composed of the two major areas of Research and Training. The University of Milano participates in most of the activities related to training, mobility and the promotion of culture that have been organized by the European Commission. USM engages in a number of bilateral and multilateral programs.

In the ALGANT consortium, the University of Milano provides courses, training and research opportunities on a wide range of subjects which are either already intertwined or bound to be combined as the study of algebra and geometry progresses. The “F. Enriques” Department of Mathematics’ staff comprises leading specialists in Algebra, Geometry and Number Theory. Milano’s role is to ensure the scientific consistency and comprehensiveness of the integrated study programme and to foster students’ specific research skills. Based on well-established scientific connections with the partners, the strong involvement of Milano in the current development of Arithmetic Algebraic and Geometry fields, combined with the upcoming Theory of Motives makes it a highly valuable partner in the ALGANT network.

Università degli Studi di Padova is one of the three founding members of the ALGANT consortium. At the Master level, it provides high level Master courses, taught in English, based on a long teaching and research experience in these fields and integrated with the other partners’ courses. The curriculum is enriched by special courses by visiting scholars. Additional reading courses are provided on demand whenever possible. Staff members act as tutors for all students and as thesis supervisors for second-year students.

Staff members in Padova are active in the following topics: Algebraic Groups, Representation Theory, Derived Categories, Curves and Moduli Problems, Algebraic Analysis and Rings of differential operators, p-adic cohomology theories, Poisson manifolds, Arithmetic Algebraic Geometry and Number Theory.

Université Paris Saclay (Campus Orsay) is a multidisciplinary institution focusing mainly on Science and Medical Studies.

Research is developed in joint research units in association with national research centers (CNRS, CEA, INSERM, INRIA). The university runs 120 laboratories in which are working 1.300 full time researchers and 1.800 faculty members. Many laboratories have earned an international reputation particularly in mathematics and physics. Professors J-C Yoccoz in 1994, L. Lafforgue in 2002 and W. Werner in 2006 received the Fields Medal. More recently, Prof. A. Fert, won the 2007 Nobel Prize in Physics for his discovery of giant magnetoresistance (previous Nobel laureates at Paris Sud have been G. De Gennes in 1991 and G. Charpak 1992).

The Department of Mathematics at the campus Orsay of Paris-Saclay is well known all around the world for the excellence of its research activity in all fields of mathematics. For example the permanent academic staff includes several members of the French Academy of Science. It should be emphasized that there are strong interactions between the five teams composing the department. Moreover, students attending the master courses and early-stage researchers are usually of especially high quality; some of them came from the best universities abroad to study in Paris-Saclay.

Universität Regensburg, founded in 1962, is a modern campus university with about twenty thousand students. The campus is located at the southern edge of the historic UNESCO World Heritage city of Regensburg. Originally designed as a regional university, Universität Regensburg has developed into a renowned international center of teaching and research over the last decades. Universität Regensburg offers a wide range of disciplines with about 230 degree programs. Among its attractive features are a broad spectrum of disciplines, a favorable student-teacher ratio and excellent infrastructure. A lively cultural life has developed on the campus of the university, with more than twenty student theater groups, choirs, and orchestras.

The Mathematical Department of Universität Regensburg has about 195 bachelor and 75 master students, 70 doctorate students and postdocs, and about 25 tenured researchers from all over the world. Regensburg has been an ALGANT partner for more than ten years. It has hosted the DFG-Research Unit FOR 570 “Algebraic cycles and L-functions” (2005-2011), DFG-Research Training Groups GRK 1692 “Curvature, Cycles and Cohomolgy” (2010-2019) and since 2014 has been hosting the DFG-Collaborative Research Center SFB 1085 “Higher Invariants - Interactions between Arithmetic Geometry and Global Analysis”.

The department is divided in three focused research areas. These are “Arithmetic Geometry” and “Global Analysis and Topology” in pure mathematics and “Applied Analysis” in applied mathematics. The research focus of the professors in pure mathematics covers Arithmetic Geometry, L-functions, Diophantine Geometry, Number Theory, Algebraic Geometry, Arakelov Geometry, Geometric Group Theory, Algebraic Topology, Motives, Higher Categories, Homotopy theory, Global Analysis, Differential Geometry, and Low Dimensional Topology.

International students will come upon a well organized network that helps them with all formalities that are necessary for application and registration. Our language center offers a full range of preparatory German language courses. The International Office (IO) organizes an orientation programme that answers all accordions concerning the structure of study programs, daily life, and formalities. The IO will help students in advance with arrival information and accommodation. It also offers several social activities like excursions, and cultural events throughout the semester.