343 Express Scripts Hall, University of Missouri - St. Louis

St. Louis, Missouri 63121

Phone (314) 516-6355

e-mail jerrold_siegel@umsl.edu

Education | Academic Experience | |

Profession Activities | Research Publications |

**B.S. in Mathematics**Massachusetts Institute of Technology 1961**M.S. in Mathematics**Massachusetts Institute of Technology 1961**Ph.D. in Mathematics**Cornell University 1964

**Instructor**, Haverford College 1964-65**Assistant Professor**, Purdue University 1965-70**Associate Professor**, Purdue University 1970-71**Associate Professor**, University of Missouri-St. Louis 1971-79**Visiting Research Fellow**, Birkbeck College, Univ. of London 1978-79**Professor**, University of Missouri-St. Louis 1979-2004**Chairman**, Dept. of Mathematics and Computer Science, University of Missouri-St. Louis 1981-82, 1986-90**Coordinator of Campus Computing**, University of Missouri-St. Louis 1990-2000**Associate Vice Chancellor for Information Technology**, University of Missouri-St. Louis 2000-2004**Emeritus Professor of Mathematic and Computer Science**, University of Missouri-St. Louis 2004-**Research Professor of Mathematic and Computer Science**, University of Missouri-St. Louis 2007-2009

- In Winter 2005 I taught

Set Theory and Topology. - In Fall 2005 I taught

Theory of Computation. - In Winter 2006 I taught

Introduction to Topology. - In Winter 2007 I taught

Introduction to Parallel and Distributed Systems.

- From 2007 through 2010 I was an
**investigator**in the on-going UM - St. Louis Virtual Cities Project supported by The Institute of Museum and Library Services. I have continued to work on this Project. - In Winter 2013 I taught

Information Theory. - In Fall 2014 -Fall 2015 -Winter 2016 I taught Advanced Web Development with Java.
- In Fall 2016 I taught

High Performance Computing. - In Winter 2017 I taught

Advanced Web Development with Java.

- 1. Some theorems about Yamada's restricted class of recursive functions
- IBM Research Reports (1961). (pdf)
- 2. Cohomology and Homology theories for categories of principal G-bundles
- Transactions of the American Mathematical Society, 120 (1965), 428-437.
- 3. Higher order cohomology operations in local coefficient theory
- American Journal of Mathematics, 89 (1967), 909-931
- 4. Distinctive properties of Stone-Cech compactifications
- (with M. Jerison and S. Weingram),Topology, 8 (1969), 195-201.
- 5. G-spaces, H-spaces and W-spaces
- Pacific Journal of Mathematics 31 (1969), 209-214.
- 6. k-invariants in local coefficient theory
- Proceedings of the American Mathematical Society, 29 (1971), 169-174.
- 7. Cohomology operations in local coefficient theory
- Illinois Journal of Mathematics, 14 (1971), 52-63.
- 8. On the construction of the Bockstein spectral sequence
- Transactions of the American Mathematical Society, 219 (1975), 203-224.
- 9. On a space between BH and B
_{∞} - Pacific Journal of Mathematics, 60 (1975), 235-246.
- 10. Homotopy and Kan Extensions
- (with A. Calder), Proceedings of Conference on Categorical Topology, Springer Lecture Notes, 540 (1975), 152-163.
- 11. A New Proof of Cristi's Fixed Point Theorem
- Proceedings of the American Mathematical Society, 66 (1977), 54-56.
- 12. Homotopy and Uniform Homotopy
- (with A. Calder), Transactions of the American Mathematical Society, 235 (1978), 245-270.
- 13. Kan Extensions of Homotopy Functors
- (with A. Calder), Journal of Pure and Applied Algebra, 12(1978), 253-269.
- 14. On the Structure of B(F), F a Stable Space
- Pacific Journal of Mathematics 76(1978), 491-507.
- 15. Cech Extensions and Localizations of Homotopy Functors
- Fundamenta. Mathematica., 158(1980), 159-170.
- 16. Fixed Points and Stationary Points of Dissipative Multivalued Maps
- (with J. P. Aubin), Proceedings of the American Mathematical Society, 78(1980), 391-398.
- 17. Homotopy and Uniform Homotopy II
- (with A. Calder), Proceedings of the American Mathematical Society, 78(1980), 288-290.
- 18. On the Width of Homotopies
- (with A. Calder), Topology, 19(1980), 209-220.
- 19. A note on Kan and Cech Extensions
- (with A. Calder), Journal of Pure and Applied Algebra, 25(1982), 249-250.
- 20. Homotopies of Bounded Width are almost Lipschitz
- (with A. Calder), Topology and its Applications, 14(1982), 117-129.
- 21. The Width of Homotopies into Spheres
- (with A. Calder and F. Williams), Topology 21(1982), 281-290.
- 22. Numerical Invariants of Homotopies into Spheres
- (F. Williams) Pacific Journal of Mathematics 110(1984), 417-428.
- 23. Variational Invariants of Riemannian Manifolds
- (with F. Williams) Transactions of the American Mathematical Society, 284(1984), 689-705.
- 24. Extrema associated with Homotopy Classes of Maps
- Geometry & Topology, Springer Verlag Lecture Notes, 1167 (1985), 260-267
- 25. Uniform Bounds for Equivariant Homotopies
- (with F. Williams), Topology and its Applications, 32 (1989), 109-118.
- 26. Uniform Bounds for Isoperimetric Problems
- (with F. Williams), Proceedings of the American Mathematical Society, 107 (1989), 459-464.
- 27. A Robust Method for Calculating the Simplicity and Orientation of Planar Polygons
- (with R. Balbes), Computer Aided Geometric Design, 1991, 327-335.