Headquarters for the College’s study abroad programs in Paris is the University of Chicago Center in Paris, the University’s research and teaching arm in Europe. Situated in the thirteenth arrondissement, the Center in Paris is part of an ambitious intellectual project along the river Seine, including the Bibliothèque Nationale and a new home for Université Denis Diderot (University of Paris VII). The Center in Paris features classrooms, offices for faculty and graduate students, computer facilities, a small library and an apartment for the faculty director. For participants in Chicago’s programs, the Center in Paris provides a focus for academic activities, a central meeting place and a continuing Chicago “presence” within one of the major capitals of Europe.
The College’s Spring quarter program in mathematics is designed for students with substantial preparation in the subject (see “Eligibility and Application” below) and a desire to further their studies, intensively and in the company of a small group of like-minded students, in Paris. Students take, in succession, three mathematics courses, each compressed into three weeks. While these courses will be demanding, program participants are compensated by their small class size and highly focused approach. In addition to the math sequence, program participants take a French language course, which runs at a normal pace through the quarter, a course designed to help students connect with French (and Parisian) culture.
SPRING 2020 FACULTY AND COURSES
Course 1 (Weeks 1–3): Math 29510 Introduction to Algebraic Curves
Instructor: Ngo Bao Chau
This course is an introduction to the theory of algebraic curves. Emerging from Riemann’s foundational work, this theory has developed into an almost complete and beautiful body of knowledge with strong connections to many parts of modern mathematics. This course aims at familiarizing students with basic concepts as singularities, divisors, vector bundles, and the Riemann-Roch theorem. The prerequisites for this course include basic knowledge of abstract algebras and some element of complex variables.
Course 2 (Weeks 4–6): Math 29519 Introduction to Fourier Analysis
Instructor: Takis Souganidis
This will be an elementary introduction to the study of Fourier Series and integrals. We shall ask, “When do Fourier Series converge?” If they do not converge, (and they don’t always) we shall ask whether there is some notion that is more general than ordinary convergence, according to which Fourier series represent the function they are supposed to represent. We shall study special cases of Fourier Series that are particularly interesting, such as lacunary series, and random series. We shall cover the relationship between the size of a function and the size of its Fourier coefficients (or, in the non-periodic case) the Fourier Transform. We shall also investigate the relationship between Fourier analysis and partial differential equations, as well as other interesting topics as time permits.
Course 3 (Weeks 7–9): Math 29507 Geometry of Matrix Groups
Instructor: John Boller
We will discuss the structure of general and special linear groups, orthogonal groups, unitary groups, and symplectic groups. These groups are used throughout algebra, topology, and analysis. We will emphasize the roles of matrix groups in each of these fields, and present examples where the knowledge of these groups leads to the solution of interesting problems. The text for the course is Matrix Groups, by Morton Curtis. Instead of a final exam, there will be final projects, and the level of difficulty of the project chosen will determine whether this course may be substituted for Math 25500 or Math 25800 in the B.S. degree program.
While an intensely focused study of mathematics is at the heart of this venture, the program also includes a number of excursions within and in the vicinity of Paris.
Center in Paris
Students in the Paris Mathematics program are housed in a residence hall within the Cité Internationale Universitaire (Cité). The Cité, a park-like residential complex in the fourteenth arrondissement, is the international student campus in Paris, though French students also live there. Students reside in single rooms with a private bath and have access to Cité facilities, including a library, theater, laundry and athletic facilities. Students will have access to common kitchens in the residence halls and can purchase inexpensive meals at the Cité’s restaurant universitaire.
Credits and Registration
Participants in the Paris Mathematics program remain registered as full-time students in the College. They receive four credits, one for each of the three mathematics courses and a fourth for the language course. Students may use the three math credits within the mathematics major. The use of these courses in a major other than math must be approved by the undergraduate chair of the respective department. The language course will normally count as an elective. Course titles, units of credit and grades are placed on the College transcript.
Study abroad students pay regular College tuition, a program fee, and a nonrefundable study abroad administrative fee. The tuition and program fee are paid in conformity with the home campus payment schedule, and the nonrefundable study abroad administrative fee is submitted when accepting a place in a program. Precise figures for the Paris Mathematics program during the 2019-20 year are listed below:
Spring tuition: as set by the Bursar’s Office
Study abroad administrative fee: $675
Paris Mathematics program fee: $4,900
|Program fee includes:||Out-of-pocket expenses include:|
|accommodation||round-trip airfare to and from the program site|
|instruction||transportation on site|
|program excursions||course materials|
|emergency travel insurance (ISOS)||personal entertainment and travel|
|communications (including cell phone usage)|
|health insurance and upfront payments for care|
|other miscellaneous expenses|
Previous program participants report spending in the range of $200 to $250 per week on meals and incidentals while on the program, though frugal students may spend less, and others could spend much more. Bear in mind that the cost of living in Paris is relatively high and that, while it is possible to live frugally, it is also possible to run short of money if you are unwary. It is therefore essential that you budget your funds prudently, apportioning your resources so that they last for the duration of the program. If you are planning to travel before or after the program or on weekends, you should budget accordingly.
Study abroad students retain their financial aid eligibility. For more information about financial aid resources, please see our Tuition, Fees, and Funding section.
Eligibility and Application
The Paris Mathematics program is open to University of Chicago undergraduate students only. Applications from outside the University are not accepted.
The sequence is designed for undergraduates in good standing who are beyond their first year in the College. To be eligible for this program, students must have completed any analysis sequence as well as two courses of an algebra sequence (either Math 20250-25400, Math 20250-25700, Math 25400-25500, or Math 25700-25800). In Paris, students will receive credit for the third course in the algebra sequence. Thus, although the program is open to students of all majors with sufficient mathematical preparation, it will be of special interest to mathematics majors, normally in their third or fourth year. While the program stipulates no minimum grade-point average, an applicant’s transcript should demonstrate that they are a serious student who will make the most of this opportunity. Because the math courses are taught in English, there is no language prerequisite, although students are encouraged to take French on campus before the program begins.
Each application is examined on the basis of the student’s scholastic record with special attention to the pre-requisite math courses, personal statement and academic recommendation. If you are interested in applying for this program please fill out the online application.
To discuss the Paris: Mathematics program and the possibility of participating in it, please contact Kylie Poulin.