


Welcome to my page.
LD 270C Department of
Mathematics
IUPUI
402 Blackford St
Indianapolis, IN 46202
(317) 2746940
buse@math.iupui.edu




I am an Assistant 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.
My research interests include:
Symplectic and Contact Geometry, fourmanifolds, singularities,
Complex and Algebraic Geometry, Mathematical Biology.
Curriculum Vitæ.
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 4manifolds",
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.
Submitted.
GromovWitten 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).
Teaching:
 Math 17100 (Multidimensional Mathematics).
 Math 57100 (Elementary Topology).
 Since Fall 2010 I have been course coordinator for the Calculus
sequence (Math 16500/16600).
Miscellaneous:
 