Professor Mathematics
Department
Teaching Spring 2012:
MATH
381 sec 001
MATH 521 sec 002 12:30-1:45 TuTh in Phillips 385
Enrolled
students will
find a coursesite at http://blackboard.unc.edu
.
Office hours spring 2012: Mondays and Wednesdays 1:30-2:30; Tuesdays 2:15-3:15
My undergraduate textbook "Beginning Topology" is now being published by the AMS: http://www.ams.org/bookstore-getitem/item=amstext-10
Ergodic and chaotic properties of Lipschitz maps on smooth surfaces , with J. Hawkins, New York J. Math 18 (2012) 95-120
Generic Maps of the Projective Plane with a Single Triple Point (with Greg Howard), to appear Mathematical Proceedings of the Cambridge Philosophical Society.
Immersions of the projective plane with one triple point, (with M. Kossowski), Differential Geometry and its Applications 27 (2009), pp. 527-542
For a beautiful display of related graphics done as an undergraduate research
project, see Alex Mellnik .
Modifying a branched surface to carry a foliation, (with
S. Shields), Topology and Its Applications Vol 154, Issue 16, August
2007, pp. 2962-2975.
Beginning Topology, Brooks/Cole, summer 2004
A condition for the stability of R-covered on foliations of 3-manifolds, (with
S. Shields), Transactions AMS 352, Nbr. 9, (2000), 4051-4065
Vector fields with transverse foliations II, Ergodic Theory and Dynamical
Systems 6 (1986), 193-203.
Vector fields with transverse foliations, Topology 24 (1985), 333-340.
Dehn surgery on Anosov flows, Geometric Dynamics, Lecture Notes in Mathematics
1007, Springer 1983, pp. 300-307.
Holonomy and averaging in foliated sets, (with J. Plante) ,Jour. Diff. Geom. 14
(1979), 401-407.
Closed leaves in foliations of codimension one, Comment. Math. Helvet. 50
(1975), 383-388.
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