# Ph.D. Program

## department of mathematics

### About Our Program

The Mathematics department at Boston College offers a selective and focused doctoral program for talented students specializing in three broad research areas: Geometry/Topology, Number Theory/Representation Theory, and Algebraic Geometry.

The research areas of our faculty in *Geometry/Topology* include:

- dynamics;
- Heegaard-Floer and Khovanov homology;

- hyperbolic geometry;

- Kleinian groups;

- knot theory
- spectral geometry; and
- three-dimensional manifolds and their geometry.

Faculty interested in these research areas are: Professors Baldwin, Biringer, Bridgeman, Chen, Greene, Grigsby, Kelmer, Li, Meyerhoff, and Treumann.

The research areas of our faculty in *Number Theory/Representation Theory* include:

- analytic number theory;
- automorphic forms and representations;
- the cohomology of arithmetic groups;
- Galois representations;
- geometric representation theory;

- the Langlands Conjectures;

- multiple Dirichlet series;
- representations of p-adic groups; and
- Shimura varieties.

Faculty interested in these research areas are: Professors Ash, Friedberg Geraghty, Gross, Howard, Kelmer, Reeder and Treumann.

The research areas of our faculty in *Algebraic Geometry* include:

- algebraic geometry and dynamics;
- birational geometry;

- derived categories;

- geometric representation theory;

- the geometry of moduli spaces; and
- logarithmic geometry.

Faculty interested in these research areas are: Professors D. Chen, Q. Chen, Fedorchuk, Lehmann, and Treumann.

Our internationally recognized faculty publish in these areas in top journals. The BC math department is also a sponsor for the BC-MIT Number Theory Seminar, the Algebraic Geometry Northeastern Series, and the Hamilton Geometry and Topology Workshop at Trinity College. Students have opportunities to attend seminars throughout the Boston area and also to travel to conferences and workshops around the globe.

For more information on the program, see the Mathematics Graduate Brochure.

### Requirements

### Financial Aid

We offer financial aid stipends and tuition remission for qualiﬁed students. It is anticipated that support will be provided for five years of study, given reasonable progress toward the degree and acceptable performance of TA/TF duties.

### Mathematics in Boston

Boston College is one of the Boston area’s premier institutions, which includes over 50 area universities and colleges. Boston is a world-renowned center for Mathematics and provides a vibrant intellectual climate in which graduate students thrive, with many outdoor and cultural opportunities in the beautiful New England area.

Boston College is a member of the Graduate Consortium, and BC mathematics graduate students may cross-register for one course each semester at Boston University, Brandeis, or Tufts.

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