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: Lomonosov’s 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), Xi’an, China, August 2002. | |
Other Achievements: |
| web-page: Computer Vision Primer | |