Dr. Elizabeth Dan-Cohen

Campus Ring 1
28759 Bremen
Germany

Office: Research I, Room 114

Phone: +49 421 200 3205

E-mail: e.dancohen@jacobs-university.de

Here are directions to the math building at Jacobs University, for someone who is arriving by train.

I am currently working on a project with Elitza Gurova on Borel subalgebras of diagonal Lie algebras. I also have a project joint with Vera Serganova and Ivan Penkov on a tensor category over simple finitary Lie algebras.

Papers:

• Levi components of parabolic subalgebras of finitary Lie algebras (with Ivan Penkov), 20 pages, submitted.
• Parabolic and Levi subalgebras of finitary Lie algebras (with Ivan Penkov), Internat. Math. Res. Notices 2010, No. 6 (2010), pp. 1062-1101.
• Parabolic subgroups of real direct limit Lie groups (with Ivan Penkov and Joseph A. Wolf), Contemp. Math. 499 (2009), pp. 47-59. arXiv:0901.0295
• Structure of root-reductive Lie algebras, IMPA, XX Escola de Algebra, Rio de Janeiro (2008), 90 pages. --my thesis
• Borel subalgebras of root-reductive Lie algebras, J. Lie Theory 18 (2008), pp. 215-241.
• Cartan subalgebras of root-reductive Lie algebras (with Ivan Penkov and Noah Snyder), J. Algebra 308 (2007), pp. 583-611.

Talks:

• Jacobs University Bremen, Algebra and Lie Theory Seminar - Finitary Lie algebras - Feb. 15, Mar. 1, May 10, 2010
• Emmy-Noether-Zentrum Erlangen, Conference on Algebraic Groups and Lie Algebras - Levi components of parabolic subalgebras of finitary Lie algebras - Feb. 12, 2010
• UC Berkeley, Conference on Lie groups and Lie algebras - Parabolic and Levi subalgebras of finitary Lie algebras - Dec. 12, 2009
• Jacobs University Bremen, Algebra and Lie Theory Seminar - Borel subalgebras of sl_infty - Oct. 26, 2009
• Jacobs University Bremen, Summer School on Structures in Lie Representation Theory - Parabolic and Levi subalgebras of finitary Lie algebras - Aug. 12, 2009
• Christian-Albrechts-Universitat zu Kiel, Workshop NWDR - Subalgebras of sl_infty, so_infty, sp_infty - June 6, 2009
• Rice U, Colloquium - Maximal toral subalgebras of root-reductive Lie algebras - Jan. 22, 2009
• Rice U, Algebraic Geometry Seminar - Parabolic subalgebras of finitary Lie algebras - Sept. 30, 2008
• Trinity U, Colloquium - Parabolic subalgebras of finitary Lie algebras - Sept. 23, 2008
• Louisiana State U, AMS Spring Southeastern Meeting - Parabolic subalgebras of gl_infty - Mar. 29, 2008
• Cruz Chica, Argentina, Sixth Workshop on Lie Theory and Geometry - Borel and parabolic subalgebras of gl_infty - Nov. 13, 2007
• UC Berkeley, Workshop on Representation Theory and Geometry - Borel subalgebras of root-reductive Lie algebras - May 9, 2007
• UC Berkeley, Representation Theory, Geometry, and Combinatorics Seminar - Borel and spanning toral subalgebras of gl_infty - Sept. 20, 2006
• U Oregon, Conference on Lie groups and Lie algebras - Cartan subalgebras of root-reductive Lie algebras - Oct. 9, 2005

Teaching:

• Abstract Algebra III - Math 464, Spring 2009, Rice University
• Multivariable Calculus - Math 212, Spring 2009, Rice University
• Multivariable Calculus - Math 212, Fall 2008, Rice University
• Introduction to Abstract Algebra - Math 113, Summer 2008, UC Berkeley