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Faculty Profile

Name: Peter Saveliev
Title: Associate Professor
Office: Mathematics/COS
Phone: 304-697-7827
Email: saveliev@marshall.edu
Expert: Digital image analysis, computer vision, data analysis: applied algebraic topology
 
Achievements

Creative Works:
 Introductory Algebraic Topology 
 Vector Calculus 
 Introduction to Differential Forms 
 The Mathematics of Computer Vision 
 Pixcavator: software for digital image analysis 

Research Based:
 
paper:
Lomonosovís invariant subspace theorem for multivalued linear operators, to appear in Proc. Amer. Math. Soc.
 
 
paper:
On the Poincare-Bendixson theorem and dissipativity in the plane, Moscow Univ. Math. Bull. 46 (1991) 3, 54-55.
 
 
paper:
The dissipativity of the generalized Lienard equation, Differ. Equations, 28 (1992) 6, 794-800.
 
 
paper:
Dissipativity in the plane, Russian Acad. Sci. Sbornik Math. 75 (1993) 1, 125-135.
 
 
paper:
A Lefschetz-type coincidence theorem, Fund. Math. 126 (1999) 1-2, 65-89.
 
 
paper:
The dissipativity of systems of ordinary differential equations in the plane, Moscow Univ. Math. Bull. 43 (1988) 4, 93-96.
 
 
paper:
Lefschetz coincidence theory for maps between spaces of different dimensions, Topology Appl. 116 (2001) 1, 137-152.
 
 
paper:
Removing coincidences of maps between manifolds of different dimensions. To appear in Topological Methods in Nonlinear Analysis.
 
 
paper:
Fixed points and selections of set-valued maps on spaces with convexity, Int. J. Math. Math. Sci. 24 (2000) 9, 595-612.
 
 
presentation:
Fixed points and selections of set-valued maps on spaces with convexity, Annual AMS-MAA Meeting, Washington, DC, January 2000.
 
 
presentation:
Lefschetz coincidence theory for maps between spaces of different dimensions, Annual AMS-MAA Meeting, New Orleans, January 2001.
 
 
presentation:
Removing coincidences of maps between manifolds with positive codimension, Conference Topological Methods in Nonlinear Analysis, Będlewo, Poland, June 2001.
 
 
presentation:
A Lefschetz-type coincidence theorem, Annual AMS-MAA Meeting, San Antonio, January 1999.
 
 
presentation:
Lefschetz-type coincidence theorems, Topology Seminar, University of Illinois at Urbana-Champaign, October 1998.
 
 
presentation:
Bordism in fixed point theory, Mathematics Faculty Lecture Series, Allegheny College, November 2001.
 
 
presentation:
Nielsen numbers as bordism invariants, Annual AMS-MAA Meeting, San Diego, January 2002.
 
 
presentation:
Higher order Nielsen numbers, Conference on Geometric Topology (satellite of ICM), Xiían, China, August 2002.
 

Other Achievements:
 
web-page:
Computer Vision Primer
 

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