Publications.

"The outcome of any serious research can only be to make two questions grow where only one grew before"

Thorstein Veblen

23.  Central figure-8 cross-cuts make surfaces cylindrical, Advances in Geometry, Volume 17, Issue 4 (2017) 423-434

22. Linear Algebra: Geometry & Transformation, CRC Press, 2015 (ISBN: 978-1-4822-9928-1)

21.  Constant mean curvature, flux conservation, and symmetry, Pacific Journal of Mathematics 274-1 (2015), 53--72. DOI 10.2140/pjm.2015.274.53

20.  Surfaces with central convex cross-sections, Comment. Math. Helvetici, (2012) 87 (2) 243-270

19.  X-rays of currents and forms, Trans. Amer. Math. Soc. (2011) 363 (1) 143–164 

18.  Central cross-sections make sufaces of revolution quadric, MAA Monthly (2009) 116 (4) 351–356

17.  Skew loops on flat tori,  Geom. Dedicata (2007) 128:33-37

16.  No skew branes on non-degenerate hyperquadrics, (with J.-P. Sha) Math. Zeit. (2007) 257, 225-229 

15.  Large-determinant matrices of size 4k+1, (with W. Orrick), Discrete Math. 307 (2) 2007, 326-336.  (See related website)

14.  Projecting codimension-two cycles to zero on hyperplanes in Rn+1,  Topology 43 233-243, 2004.

13.  Skew loops and quadric surfaces. (with Mohammad Ghomi), Comment. Math. Helvetici 77 (4),  767--782, 2002.

12.  Tantrices of Spherical Curves, MAA Monthly, 103 (1) 30-39, 1996.

11.  Quartic isoparametric hypersurfaces and quadratic forms, Math. Ann. 293, 387-398, 1992

10.  Constant Mean Curvature Surfaces in Hyperbolic Space, (with N. Korevaar, R. Kusner, & W.H. Meeks, III) Amer. J. Math 114 1992 1-43

9.  The harmonic analysis of cubic isoparametric minimal hypersurfaces, I: Dimensions 3 and 6, Amer. J. Math. 112, 1990, 157-203

8.  The harmonic analysis of cubic isoparametric minimal hypersurfaces, II: Dimensions 12 and 24, Amer. J. Math. 112, 1990, 205-241

7.  The structure of complete embedded surfaces of constant mean curvature (with N. Korevaar & R. Kusner), J. Diff. Geom. 1989 30, 465-503

6.  A strong maximum principle for varifolds that are stationary with respect to even parametric elliptic functionals (with B. White), Indiana Univ. Math. J. 38 1989, 683-691

5.  On foliations of Rn+1 by minimal hypersurfaces, Comment. Math. Helvetici, 61 1986, 67-83

4.  Minimal hypersurfaces asymptotic to quadratic cones in Rn+1 (with L. Simon) Invent. Math. 86 1986, 535-551

3.  On harmonic maps to spheres, J. Diff. Geom. 21 1985, 151-162

2.  On the Gauss map of an area-minimizing hypersurface, J. Diff. Geom. 191984, 221--232

1.  A new proof of the closure theorem for integral currents, Indiana Univ. Math. J. 33 1984, 393-418