Graduate

Research Themes

The fields of Algebraic Geometry and Representation Theory are among the most fundamental, diverse and active fields of research in mathematics. There are many strong interactions with other fields, including for example Symplectic Geometry and Mathematical Physics. These points of contact are our starting point. In fact, research topics that lie at the core of our group include: Derived Categories and Homological Algebra techniques, Hyperkähler manifolds (both compact and non-compact), Quantum Cohomology and Counting Invariants (both from the Algebraic and the Symplectic side), Hodge Theory, connection with Physics and Mirror Symmetry. Poster.

Activities for Graduate Students

At the graduate level, we propose a series of activities for students, related to both research and involvement in education.

Research seminars.

We plan to organize one reading seminar each semester, on a given research topic. Talks, except introductory parts, will be given exclusively by graduate students and postdocs. Two main speakers will be invited at the end of each term for a week-long mini-school, reasonably aligned with the theme of the learning seminar. 

The past, current, and future research seminars can be found here. Advanced mini-courses can be found here.

Graduate courses.

We will offer at least one semester-long class per semester at the graduate level. Lecture notes and class schedule can be found at the following link.

Summer schools.

We will organize two summer schools for graduate students. One will concentrate on Algebraic Geometry and Representation Theory (Summer 2019) and the other on Representation Theory and Mathematical Physics (tentatively in Spring/Summer 2021). Both schools will be for one week and will include lectures by invited speakers, presentations by graduate student participants and exercise sessions. More information can be found at the Summer Schools page.

Outreach activities.

Current opportunities for graduate students are in connection with Northeastern University’s Bridge to Calculus program and Girls' Angle. Please contact Professor Donald King if you would like to be involved as graduate mentor in the Bridge to Calculus program. If you would like to be involved in the Girls' Angle program, please follow this link, and contact Professor Ana-Maria Castravet for further information. Summer support will also be available for graduate students willing to mentor undergraduate students' Independent Research Experience; please contact Ivan Martino for more information.

How to be part of our group.

The grant will support three graduate students each year. We expect to admit one to three new students each year of the grant. The remaining fellowships will support continuing students.  Participating  graduate students supported with NSF funds in RTG must be citizens, nationals, or permanent residents of the United States or its territories and possessions. We will also have positions for graduate students without nationality requirements. Please visit the Graduate Fellowship page. 

To apply to the graduate program at Northeastern (and for more information), the official website is at the following link. If you are interested in being part of the RTG group, please mention it in your application form. For more information on our group, please visit the People page.