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Reyer Sjamaar
Professor
Departments/Programs
- Mathematics
Graduate Fields
- Mathematics
Research
Symplectic geometry
I study actions of Lie groups on symplectic manifolds. This is an area of differential geometry related to algebraic geometry and mathematical physics. Some of my work concerns moment polytopes and leads to improved versions of certain eigenvalue inequalities in matrix analysis.
Courses
Spring 2022
- MATH 4140 : Honors Introduction to Analysis II
- MATH 4900 : Supervised Research
- MATH 4901 : Supervised Reading
Fall 2022
- MATH 2230 : Theoretical Linear Algebra and Calculus
- MATH 4900 : Supervised Research
- MATH 4901 : Supervised Reading
- MATH 6520 : Differentiable Manifolds
Publications
- Character formulæ and GKRS multiplets in equivariant K-theory (with G. Landweber), Selecta Math. (N.S.) 19 (2013), no. 1, 49–95.
- Divided differences and the Weyl character formula in equivariant K-theory (with M. Harada and G. Landweber), Math. Res. Lett. 17 (2010), no. 3, 507–527.
- Torsion and abelianization in equivariant cohomology (with T. Holm), Transform. Groups 13 (2008), no. 3–4, 585–615.
- Group-valued implosion and parabolic structures (with J. Hurtubise and L. Jeffrey), Amer. J. Math. 128 no. 1 (2006), 167–214.
- Convexity properties of Hamiltonian group actions (with V. Guillemin), CRM Monograph Series 26, American Mathematical Society, Providence, RI, 2005.