Preprints Topological pullback, covering spaces, and a triad of Quillen, (with John D. McCarthy), 2012, 23 pp. Topological and algebraic pullback functors, (with John D. McCarthy and Jeremy J. Walthers), 2012, 27 pp. Refereed Papers 17. Double branched covers of theta-curves, (with Jules Metcalf-Burton), accepted at Journal of Knot Theory and Its Ramifications (2016), 8 pp. 16. Rational angled hyperbolic polygons, accepted at The Mathematics Student (2015), 10 pp. 15. The explicit algebraic autonomy of Artin Presentation Theory and the Fox Calculus. I., (with H. E. Winkelnkemper), accepted at Boletín de la Sociedad Matemática Mexicana (2015), 11 pp. 14. Connected sum at infinity and 4-manifolds, (with Patrick V. Haggerty), Algebraic & Geometric Topology, Vol. 14, 2014, 3281-3303. 13. Borromean rays and hyperplanes, (with Jules Metcalf-Burton, Taylor Richard, and Liam Solus), Journal of Knot Theory and Its Ramifications, Vol. 23, 2014, 46 pp. 12. Orbit spaces of gradient vector fields, (with Bob Gompf), Ergodic Theory and Dynamical Systems, Vol. 33, 2013, 1732-1747. 11. Connected Sum at Infinity and Cantrell-Stallings Hyperplane Unknotting, (with Henry King and Larry Siebenmann), Rocky Mountain Journal of Mathematics, Vol. 42, 2012, 1803-1862. 10. On fundamental groups of quotient spaces, (with Bob Gompf and John D. McCarthy), Topology and its Applications, Vol. 159, 2012, 322-330. American Mathematical Monthly, October 2010, 673-685. 8. Discreteness and Homogeneity of the Topological Fundamental Group, (with John D. McCarthy), Topology Proceedings, Vol. 34, July 22, 2009, 339-349. 7. Gaussian Integers and Arctangent Identities for Pi, American Mathematical Monthly, June/July 2009, 515-530. 6. Torelli Actions and Smooth Structures on 4-manifolds, Journal of Knot Theory and Its Ramifications, Vol. 17, No. 2, Feb. 2008, 171-190. 5. Artin Presentations from an Algebraic Viewpoint, Journal of Algebra and Its Applications, Vol. 6, No. 2, April 2007, 355-367. 4. Knot Theory and the Casson Invariant in Artin Presentation Theory, Fundamental and Applied Mathematics, Vol. 11, No. 4, L. V. Keldysh Memorial Proceedings, Moscow, 2005, 119-126. 3. Artin Presentations of Complex Surfaces, (with H. E. Winkelnkemper), Boletín de la Sociedad Matemática Mexicana (3), Vol. 10, Special Issue in honor of F. González-Acuña, 2004, 63-87. 2. Noncompact Codimension-1 Real Algebraic Manifolds, (with Henry King), Michigan Mathematical Journal, vol. 52, 2004, 361-373. 1. Single Rational Arctangent Identities for pi, Pi Mu Epsilon Journal, Fall 1999, 1-6. (This paper won an Andree Award in 1999 from Pi Mu Epsilon.) Ph.D. Thesis Torelli Actions and Smooth Structures on 4-manifolds, University of Maryland, April 2004. Advisory Committee: Horst E. Winkelnkemper, Chair William M. Goldman Henry C. King Serguei P. Novikov Dieter R. Brill (physics) Miscellaneous Does
XYY=ZZ imply X is a square? Proof Without Words:
Dense and convex subsets of Euclidean space Rationality and the
Tangent Function. The Tangent Analogues
of the Chebyshev Polynomials Frozen (parts of this paper have appeared in papers 7 and 9 above). |
