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Welcome to my page.
LD 270C Department of
Mathematics
IUPUI
402 Blackford St
Indianapolis, IN 46202
(317) 274-6940
buse@math.iupui.edu
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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, four-manifolds, singularities,
Complex and Algebraic Geometry, Mathematical Biology.
Curriculum Vitæ.
Research:
Quantitative Symplectic and Contact Geometry
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"Symplectic embeddings of ellipsoids in dimension greater than four",
O. Buse, R. Hind.
Geom. Topol., 15, 4 (2011), 2091–2110.
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"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.
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"Ellipsoid embeddings and symplectic packing stability",
O. Buse, R. Hind.
Submitted.
Gromov-Witten Invariants and Symplectomorphisms
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"Negative inflation and stability in symplectomorphism groups of ruled surfaces",
O. Buse.
J. Sympl. Geom., 9, 2 (2011), 1–14.
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"Deformations of Whitehead products, symplectomorphism groups, and Gromov–Witten invariants",
O. Buse.
Int. Math. Res. Not., 2010, 17 (2010).
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"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
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"Existence of limit cycles in the repressilator equations",
O. Buse, A. Kuznetsov, R. Perez.
Int. J. Bif. Chaos, 19, 12 (2009), 4097–4106.
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"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:
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