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» Peter Zvengrowski
Peter Zvengrowski
Professor
Pure Mathematics
+1 (403) 220-7456
Mathematical Sciences 430
zvengrow@ucalgary.ca
Research Interests
Differential topology, the span of smooth manifolds
Graph theory, map colourings
Theoretical physics, relativistic kink theory
Topology of 3-manifolds
Function theory
Currently Teaching
Not currently teaching any courses.
view past courses
Publications
Book
Zvengrowski, Peter
.
Remarks on the span of projective {S}tiefel manifolds
World Sci. Publishing, 2000. 85-98. Print.
Bryden, John
and
Zvengrowski, Peter
.
The cohomology algebras of orientable {S}eifert manifolds and applications to {L}usternik-{S}chnirelmann category
45. Polish Acad. Sci., 1998. 25-39. Print.
Williams, J. G. and
Zvengrowski, Peter
.
Counting kinks in {$1+1$} dimensions
15. Amer. Math. Soc., 1997. 357-360. Print.
Williams, J. G. and
Zvengrowski, Peter
.
Homotopy classification of metrics in {$2+1$} dimensions
World Sci. Publishing, 1992. 540-542. Print.
Zvengrowski, Peter
.
Recent work on the parallelizability of flag manifolds
58. Amer. Math. Soc., 1987. 129-137. Print.
Journal Article
Kudryavtseva, Elena
, Saidak, Filip and
Zvengrowski, Peter
.
"
Riemann and his zeta function
"
. Morfismos
9.2 (2005): 1-39. Print.
Zvengrowski, Peter
.
"
On the modulus of the {R}iemann zeta function in the critical strip
"
. Math. Slovaca
53.2 (2003): 145-172. Print.
Adams, Josh
,
Zvengrowski, Peter
and Laird, Philip
.
"
Vertex embeddings of regular polytopes
"
. Expositiones Mathematicae
21.4 (2003): 339-353. Print.
Bryden, John
and
Zvengrowski, Peter
.
"
The integral homology of orientable {S}eifert manifolds
"
. Topology and its Applications
127.1-2 (2003): 259-275. Print.
Bryden, John
and
Zvengrowski, Peter
.
"
The cohomology ring of the orientable {S}eifert manifolds. {II}
"
. Topology and its Applications
127.1-2 (2003): 213-257. Print.
Bryden, John
, Hayat-Legrand, C., Zieschang, H. and
Zvengrowski, Peter
.
"
The cohomology ring of a class of {S}eifert manifolds
"
. Topology and its Applications
105.2 (2000): 123-156. Print.
Zvengrowski, Peter
.
"
The order of the {H}opf bundle on projective {S}tiefel manifolds
"
. Fundamenta Mathematicae
161.1-2 (1999): 225-233. Print.
Zvengrowski, Peter
.
"
{$K$}-theory of oriented {G}rassmann manifolds
"
. Math. Slovaca
47.3 (1997): 319-338. Print.
Zvengrowski, Peter
.
"
Stable parallelizability of partially oriented flag manifolds. {II}
"
. Canadian Journal of Mathematics. Journal Canadien de Math\'ematiques
49.6 (1997): 1323-1339. Print.
Zvengrowski, Peter
.
"
Recent progress in the topology of projective {S}tiefel manifolds
"
. Matem\'atica Contempor\^anea
13. (1997): 289-297. Print.
Bryden, John
, Hayat-Legrand, Claude, Zieschang, Heiner and
Zvengrowski, Peter
.
"
L'anneau de cohomologie d'une vari\'et\'e de {S}eifert
"
. Comptes Rendus de l'Acad\'emie des Sciences. S\'erie I. Math\'ematique
324.3 (1997): 323-326. Print.
Korba{\v{s}}, J and
Zvengrowski, Peter
.
"
On sectioning tangent bundles and other vector bundles
"
. Rendiconti del Circolo Matematico di Palermo. Serie II. Supplemento
, 39 (1996): 85-104. Print.
Korba{\v{s}}, J and
Zvengrowski, Peter
.
"
The vector field problem: a survey with emphasis on specific manifolds
"
. Expositiones Mathematicae. International Journal for Pure and Applied Mathematics
12.1 (1994): 3-20. Print.
Milgram, R. and
Zvengrowski, Peter
.
"
An application of principal bundles to coloring of graphs and hypergraphs
"
. Rendiconti del Circolo Matematico di Palermo. Serie II. Supplemento
, 37 (1994): 161-167. Print.
Zvengrowski, Peter
.
"
Maps into {${\bf R}{\rm P}\sp 2$} and applications
"
. Rendiconti del Circolo Matematico di Palermo. Serie II. Supplemento
, 32 (1993): 155-163. Print.
Zvengrowski, Peter
.
"
{$3$}-manifolds and relativistic kinks
"
. Rendiconti del Circolo Matematico di Palermo. Serie II. Supplemento
, 30 (1993): 157-162. Print.
Williams, J. G. and
Zvengrowski, Peter
.
"
{$2+1$} gravity kinks for multiply connected spacetime manifolds
"
.
, (1992): 364-367. Print.
Gilbert, Shirley M. F. and
Zvengrowski, Peter
.
"
A relation between {$S\sp 1$} and {$S\sp 3$}-invariant homotopy in the stable range
"
. Canadian Mathematical Bulletin. Bulletin Canadien de Math\'ematiques
35.1 (1992): 75-80. Print.
Williams, J. G. and
Zvengrowski, Peter
.
"
Kink metrics in {$(2+1)$}-dimensional space-time
"
. Journal of Mathematical Physics
33.1 (1992): 256-266. Print.
Shastri, A. R. and
Zvengrowski, Peter
.
"
Type of {$3$}-manifolds and addition of relativistic kinks
"
. Reviews in Mathematical Physics. A Journal for Both Review and Original Research Papers in the Field of Mathematical Physics
3.4 (1991): 467-478. Print.
Williams, J. G. and
Zvengrowski, Peter
.
"
Homotopy and {L}orentz metrics in {$(2+1$}) dimensions
"
.
, (1990): 364-367. Print.
Zvengrowski, Peter
.
"
Stable parallelizability of partially oriented flag manifolds
"
. Pacific Journal of Mathematics
128.2 (1987): 349-359. Print.
Zvengrowski, Peter
.
"
On stable parallelizability of flag manifolds
"
. Pacific Journal of Mathematics
122.2 (1986): 455-458. Print.
Antoniano, E., Gitler, S., Ucci, J. and
Zvengrowski, Peter
.
"
On the {$K$}-theory and parallelizability of projective {S}tiefel manifolds
"
. Bolet\'\i n de la Sociedad Matem\'atica Mexicana. Segunda Serie
31.1 (1986): 29-46. Print.
Trew, S. and
Zvengrowski, Peter
.
"
Nonparallelizability of {G}rassmann manifolds
"
. Canadian Mathematical Bulletin. Bulletin Canadien de Math\'ematiques
27.1 (1984): 127-128. Print.
Shastri, A. R., Williams, J. G. and
Zvengrowski, Peter
.
"
Kinks in general relativity
"
. International Journal of Theoretical Physics
19.1 (1980): 1-23. Print.
Gilbert, Shirley and
Zvengrowski, Peter
.
"
{$S\sp{1}$}-invariant homotopy of spheres
"
. Osaka Journal of Mathematics
17.3 (1980): 603-617. Print.
Zvengrowski, Peter
.
"
Iterated absolute differences
"
. Mathematics Magazine
52.1 (1979): 36-40. Print.
Milgram, R. and
Zvengrowski, Peter
.
"
Even {W}hitehead squares are not projective
"
. Canadian Journal of Mathematics. Journal Canadien de Math\'ematiques
29.5 (1977): 957-962. Print.
Milgram, R., Strutt, J. and
Zvengrowski, Peter
.
"
Projective stable stems of spheres
"
. Bolet\'\i n de la Sociedad Matem\'atica Mexicana. Segunda Serie
22.2 (1977): 48-57. Print.
Milgram, R. J. and
Zvengrowski, Peter
.
"
Skewness of {$r$}-fields on spheres
"
. Topology
15.4 (1976): 325-335. Print.
Milgram, R. J. and
Zvengrowski, Peter
.
"
Projective {S}tiefel manifolds and skew linear vector fields
"
. Proc. London Math. Soc. (3)
28. (1974): 671-682. Print.
Zvengrowski, Peter
.
"
Skew linear vector fields on spheres
"
. Journal of the London Mathematical Society. Second Series
3. (1971): 625-632. Print.
Zvengrowski, Peter
.
"
Canonical vector fields on spheres
"
. Comment. Math. Helv.
43. (1968): 341-347. Print.
Zvengrowski, Peter
.
"
A {$3$}-fold vector product in {$R\sp{3}$}
"
. Comment. Math. Helv.
40. (1966): 149-152. Print.
Zvengrowski, Peter
.
"
Perfect transfinite numbers
"
. Fundamenta Mathematicae
52. (1963): 123-128. Print.
Preprint
Bauer, Kristine
,
Zvengrowski, Peter
and DeLoup, Florian
.
"
BASE POINTS AND TOPOLOGICAL PROOFS OF THE FUNDAMENTAL THEOREM OF ALGEBRA
"
. American Math Monthly
, (2008). Print.
Zvengrowski, Peter
and Ainouline, A.
.
"
Critical Values of Differential Functions of the Reals.
"
.
, (2001). Print.
Courses
Research Groups
Center for Computational and Discrete Geometry (CCDG)
Degrees
PhD
University of Chicago
, 1964
MSc
University of Chicago
, 1960
BSc
Rensselaer Polytechnic Institute
, 1959
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