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Kenneth Stephenson's research focuses on: 1) Analysis (Circle Packing, 2D Particle configurations, Numerical Conformal Mapping). 2) Computational and Applied Mathematics (3D printing and Discrete Conformal Geometry). 3) Probability and Stochastic Processes.
Nov 3, 2023 · Analysis. Circle Packing. 2D Particle configurations (graphene, quantum glasses, electron distributions) Numerical conformal mapping (planar and surface) Computational and Applied Mathematics. 3D printing. Discrete Conformal Geometry. Probability and Stochastic Processes.
Prehistory. I started developing CirclePack using the C language in the early 1990's, with continual improvements in capability, graphics, and features as the mathematics and its applications evolved. I have always treated the software as an experimental laboratory for discrete conformal geometry and discrete analytic function theory.
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Mayo Clinic, Scottsdale, Arizona Foot and Ankle Surgery, Fellowship 07/95-07/96University of Tennessee-Campbell Clinic, Inc. Orthopaedic Surgery Residency Program 07/91-06/95Baptist Memorial Hospital, Memphis Transitional Internship 06/90-06/01The University of Texas Health Science Center at San Antonio 08/86-06/90American Medical AssociationTexas Medical AssociationDallas County Medical SocietyTexas Orthopaedic AssociationCase Report: Plantar Dislocation of the Metatarsophalangeal Joints. Foot and Ankle International, August 1994.Surgical Techniques for Arthritis of the Foot and Ankle. Resident and Staff Physician, June 1995.Keller Bunionectomy in Combination with Fibular Sesamoidectomy. Orthopaedic Transactions, 1996.Estimating the Insertion Site during Retrograde Intramedullary Tibiocalcaneal Arthrodesis. Foot and Ankle International, December 1996.Tibiocalcaneal Arthrodesis with a Straight Locked Intramedullary Nail. Presented at the Arizona Orthopaedic Society Meeting, Tucson, Arizona, October, 1995.Keller Resection Arthroplasty in Combination with Fibular Sesamoidectomy. Presented at the Mid-America Orthopaedic Society Meeting, San Antonio, Texas, April 17, 1996.A Standardized Technique for Retrograde Nail Insertion during Intramedullary Tibiocalcaneal Arthrodesis: A Combined Clinical and Cadaveric Study. Presented at The American Orthopaedic Foot and Ankl...APA (Alpha Omega Alpha) Final Rank 14th/188, 3.5 GPA at UTHSCSA 1989-1990Texas Legislative Merit Scholarship Award at UTHSCSA 1988-1989Aspri National Scholarship Award Presented annually to one male and one female nationwide who have excelled in academics and athletics at an NAIA institution and who pursue graduate studies 1986Co-Valedictorian, 4.0 GPA Lubbock Christian University 1985-1986Northstar Surgical Center, Lubbock, TexasCovenant Health System, Lubbock, TexasLubbock Heart and Surgical Hospital, Lubbock, TexasGrace Medical Center, Lubbock, TexasA circle packing is a configuration of circles having a specified pattern of tangencies, as introduced by William Thurston in 1985. This book lays out their study, from first definitions to the latest theory, computations, and applications.
"Ken Stephenson has produced this textbook an effective and enjoyable tour of both the basic theory of circle parking and its use in deriving an intricate theory of discrete analytic functions. All this from the humble circle!
Mathematics books by Kenneth Stephenson include: "Introduction to Circle Packing: The Theory of Discrete Analytic Functions", "Explorations in Complex Anaysis", and "Unifomizing Dessins and Belyĭ Maps via Circle Packing".