Denise Halverson

Research Publications:

·        R.J. Daverman and  D.M. Halverson, The cell-like approximation theorem in dimension n=5Fundamenta Mathematicae,  197 (2007) , 81-121. MR2365884

·        D.M. Halverson, L. Petersen, Projection decompositions of 0-dimensional sets, JP J. Geom. Topol. 7 (2007), no.3, 327-339.  MR2371845.

·        D.M. Halverson, Detecting codimension one manifold factors with 0-stitched disks, Topology Appl. 154 (2007), no. 9, 1993-1998.  MR2319721

·        J. J. Cox, B.L. Adams, D.T. Fullwood, and D.M. Halverson, Heterogeneous design optimization from the microstructure, Proceedings of IDETC/CIE 2006, ASME 2006 International Design Engineering Technical Conferences & Computers and Information in Engineering Conference, September 10-13, 2006, Philadelphia, Pennsylvania, USA. DETC2006-99157.

·        D.M. Halverson and G.R. Lawlor, Area-minimizing subsurfaces of Scherk's singly periodic surface and the catenoid, Calc. Var. Partial Differential Equations 25 (2006), no. 2, 257--273. MR2188749

·        R.J. Daverman and  D.M Halverson, Path concordances as detectors of codimension one manifold factors, Proceedings of the Oberwolfach Miniworkshop on Exotic Manifolds.  Geometry & Topology Monographs 9 (2006) 7-15. MR2222487

·        D.M. Halverson, 2-ghastly spaces with the disjoint homotopies property: The method of fractured maps, Topology Appl. 138 (2004), no. 1-3, 277--286. MR2035486 (2004k:57030)

·        M.J. Dorff, D.M. Halverson and G.R. Lawlor, Area minimizing minimal graphs over non-convex domains, Pacific Journal of Mathematics, 210 (2003), no. 2, 229--259. MR1988533 (2004e:49060)

·        D.M. Halverson, Detecting codimension one manifold factors with the disjoint homotopies property,  Topology Appl. 117 (2002), no. 3, 231--258. MR1874088 (2002k:57055)

·        D.M. Halverson and D.G. Wright, Linearly opaque homeomorphisms of Rn, Proceedings of the 2000 Topology and Dynamics Conference (San Antonio, TX).  Topology Proc. 25 (2000), Spring, 167--180. MR1875589 (2002m:57029)

Student Research Papers

           Shortest Path Between Two Points on the Regular Tetrahedron

           The Steiner Problem on Narrow and Wide Cones

           The Three Point Steiner Problem on the Flat Torus:  The Minimal Lune Case

           Three-Point Steiner Problem on the Flat Torus 

           Steiner Tree Constructions in Hyperbolic Space

Undergraduate Research

          Geometric Optimization MEG Program

          BYU Research Experiences for Undergraduate Summer 2008

Women in Math, Science, and Engineering

          Seminars for Women in Science

          Career Connections


Math 302 Website

Math 303 Website

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