# Olguta Buse

Associate Professor, Department of Mathematical SciencesI am an Associate Professor at IUPUI. Before coming here, I was a Postdoctoral Associate at Michigan State University. In the Spring of 2010, I was a research member at the Mathematical Sciences Research Institute in Berkeley, CA.

## Courses Taught / Teaching

- Math 17100 (Multidimensional Mathematics).
- Math 57100 (Elementary Topology).

## Research

##### Quantitative Symplectic and Contact Geometry

- "Symplectic embeddings of ellipsoids in dimension greater than four", O. Buse, R. Hind.

Geom. Topol., 15, 4 (2011), 2091-2110. - "Packing numbers of rational ruled 4-manifolds", O. Buse, M. Pinsonnault.

To appear: J. of Sympl. Geom.. - "Packing in contact context", O. Buse, D. Gay.

Work in progress. - "Ellipsoid embeddings and symplectic packing stability", O. Buse, R. Hind.

To Appear in Compositio.

##### Gromov-Witten Invariants and Symplectomorphisms

- "Negative inflation and stability in symplectomorphism groups of ruled surfaces", O. Buse.

J. Sympl. Geom., 9, 2 (2011), 1-14. - "Deformations of Whitehead products, symplectomorphism groups, and Gromov-Witten invariants", O. Buse.

Int. Math. Res. Not., 2010, 17 (2010). - "Relative family Gromov-Witten invariants and symplectomorphisms", O. Buse.

Pac. J. Math., 218, No. 2 (2005), 315-341. - PhD Thesis. Stony Brook, 2002. Advisor: Dusa McDuff.

##### Mathematical Biology

- "Existence of limit cycles in the repressilator equations", O. Buse, A. Kuznetsov, R. Perez.

Int. J. Bif. Chaos, 19, 12 (2009), 4097-4106. - "Dynamical properties of the repressilator model", O. Buse, R. Perez, A. Kuznetsov.

Phys. Rev. E, 81, 066206 (2010).