David A. Edwards
Professor of Mathematics
Department of Mathematical Sciences
University of Delaware
Newark, DE 19716-2553
Voice: (302) 831-1871
FAX: (302) 831-4511

http://www.math.udel.edu/~edwards

Curriculum Vita

(This page contains my most recent accomplishments. For information on older accomplishments, as well as some other supplemental information, click here.)

Education

Graduate:: California Institute of Technology, Pasadena, California; Ph.D. (Applied Mathematics), 1994; Thesis Title: A Model for Nonlinear Diffusion in Polymers; Thesis Advisor: Donald S. Cohen
Undergraduate:: California Institute of Technology, Pasadena, California; B.S. with Honor (Applied Mathematics), 1990
Actuarial Science:: 2004 System: Passed Exams P, MF, M, and all VEE; 1990s System: Passed Exams 100, 110, 120, 135, 140, 150, 151

Experience

September 2007-present
September 2010-August 2011
March 1999-present
September 2005-August 2010
September 2001-August 2007
September 1997-August 2001
August 1995-July 1997
September 1994-August 1995

Scholarly Funding

Research:: National Institutes of Health, 2002-07 (subcontract PI; PI: Paul Milewski); National Science Foundation, 1999-2002; University of Delaware Research Foundation, 1999-2001
Workshops:: Institute for Mathematics and Its Applications, Support of the Twenty-Third Annual Workshop on Problems in Industry, 2007 (co-PI); Institute for Mathematics and Its Applications, Support of the Twentieth Annual Workshop on Problems in Industry, 2004 (co-PI); National Institute for Standards and Technology, Support of the Sixteenth Annual Workshop on Problems in Industry, 2000 (PI: Richard Braun); National Institute for Standards and Technology, Support of the Fifteenth Annual Workshop on Problems in Industry, 1999 (PI: Richard Braun)
Postdoctoral:: National Science Foundation Postdoctoral Research Instructor, 1994-97
Graduate:: Hertz Foundation Fellow, 1993-94; National Science Foundation Graduate Fellow, 1990-93

Presentations and Workshops

Invited Presentations:: Degenerate Reaction-Diffusion Equations Arising in Polymer Diffusion and Their Connection to Problems in Mathematical Biology (2 talks), Brunel University, July 2008; The Legacy of John Crank: Developments in Time Dependent PDEs, Diffusion and Free Boundary Problems, Brunel University, July 2008; Department of Mathematics and Statistics, University of Maryland, Baltimore County, April 2008; Department of Mathematical Sciences, New Jersey Institute of Technology, November 2004; Mathematical Biosciences Institute, Ohio State University, October 2004; Department of Mathematics and Statistics, University of Maryland, Baltimore County, September 2004 (colloquium); Department of Mechanical Engineering and Applied Mechanics , University of Pennsylvania, September 2002; Department of Mathematics , University of Wisconsin, Madison, October 2001; Department of Mathematics and Statistics, University of Maryland, Baltimore County, October 2000; Biosensor Core Facility, University of Pennsylvania, September 2000; School of Mathematics, Georgia Institute of Technology, January 2000; Department of Mathematical Sciences, University of Delaware, April 1999 (Math Awareness Month public lecture); Department of Mathematics and Statistics, University of Nebraska, January 1999 (colloquium); Department of Mathematical Sciences, New Jersey Institute of Technology, September 1998; Department of Chemical Engineering, Drexel University, February 1998; Department of Mathematical Sciences, University of Cincinnati, May 1997; Department of Mathematics and Statistics, University of Maryland, Baltimore County, September 1996
Minisymposia:: SIAM Annual Meeting, Denver, July 2009; SIAM Conference on Mathematics for Industry: Challenges and Frontiers, Philadelphia, October 2007; Joint SIAM-SMB Conference on the Life Sciences, Raleigh, August 2006 (co-organizer); SIAM Annual Meeting, New Orleans, July 2005 (co-organizer); AMS Sectional Meeting #1005, Newark, DE, April 2005 (session organizer and additional paper); Fourteenth U.S. National Congress of Theoretical and Applied Mechanics, Blacksburg, June 2002; SIAM Annual Meeting , San Diego, July 2001 (co-organizer); SIAM Annual Meeting, Philadelphia, July 1993
Contributed Papers:: SIAM Annual Meeting, Pittsburgh, July 2010; SIAM Annual Meeting, San Diego, July 2001; SIAM Annual Meeting, Puerto Rico, July 2000; Nonlinear Analysis 2000-->, New York, May 2000 (poster presentation)

Workshops resulting in proceedings papers:

Advisement

Graduate Research:
Undergraduate Research:
Undergraduate Major:: Undergraduate Advisor, 1997-present

Technical Skills

Computer Skills:: Extensive classroom implementation of numerical analysis techniques, including finite difference methods, iterative solvers, finite element techniques, multigrid, and spectral methods on ordinary and partial differential equations of all types.; Extensive knowledge of BASIC, Pascal, and TEX.; Good working knowledge of C.; Familiarity with Fortran.; Extensive knowledge of Macintosh, OpenWindows, and MS-DOS operating systems.; Good working knowledge of UNIX, XWindows, and Microsoft Windows operating systems.; Familiarity with VAX/VMS operating system.
Languages:: Excellent French reading comprehension and writing skills.; Acceptable French oral communication skills.

Departmental Service

Major Duties:: Interim Chair, 2010-2011; Associate Chair, 2005-2010; Ex officio member, Advisory Committee, 2005-2011; Organizer, Departmental Math Awareness Month Activities, 2003-04, 2006; Chair, Outreach Committee: 2002, Spring/Summer 2004; Chair, Colloquium Committee: 1998-99; Member, Promotion and Tenure Committee: 2001-present; Member, Peer Review Committee: 2008, 2009; Member, Convocation Committee: 1998-99, 2000-01, 2002-05; Member, Undergraduate Committee: 1999-2000, 2001-02; Member, Graduate Committee: Spring 2001; Member, Computer Technology Committee: 1999-2001; Member, Colloquium Committee: 1997-98
Examination Committees:: Chair, Applied Math Candidacy Exam Committee: Winter 2002; Member, Dissertation Defense Committee: 2000, 2003, 2006 (MEEG); Member, Linear Algebra Qualifying Exam Committee: 2002-03; Member, Applied Math Candidacy Exam Committee: 2000-01; Member, PDE Candidacy Exam Committee: 1999; French Examiner: 1999
Course Coordinator for:: Mathematics 302 : Fall 2002; Mathematics 241: Fall 1998, Fall 2001, Spring 2002
Search Committees:: UNIDEL Postdoctoral Search Committee: 2005-present; Probability/Topology Search Committee, 2003-04; Applied Mathematics Search Committee: 2001-02; Temporary Assistant Professor Search Committee: 2000-01
Other Duties:: Department Marshal, Commencement Exercises: 1998-2005, 2007-present; Co-Organizer, Applied Math Seminar: Spring 2001

Other Service and Awards

College:: Secretary of College Senate, 2006-07; Nominee, President-Elect of College Senate, 2005; Member, College Biotech Research Council, 2001-02
University:: Member, Council on Pre-Collegiate Programs, 2007; Nominee, Excellence in Teaching Award, 2003
Disciplinary:: Member, Organizing Committee, Twenty-Eighth Annual Workshop on Problems in Industry, 2012; Member, Organizing Committee, Twenty-Fifth Annual Workshop on Problems in Industry, 2009; Member, Organizing Committee, Twenty-Fourth Annual Workshop on Problems in Industry, 2008; Member, Organizing Committee, Twenty-Third Annual Workshop on Problems in Industry, 2007; Member, Organizing Committee, Twenty-Second Annual Workshop on Problems in Industry, 2006; Member, Organizing Committee, Twentieth Annual Workshop on Problems in Industry, 2004; Member, Organizing Committee, Sixteenth Annual Workshop on Problems in Industry, 2000; Member, Organizing Committee, Fifteenth Annual Workshop on Problems in Industry, 1999
Professional Affiliations:: SIAM; Addison-Wesley Longman Publishing; Arkansas Science and Technology Authority; Mathematics of Information Technology and Complex Systems; National Science Foundation; Prentice-Hall Publishing; Springer-Verlag Publishing; promotion and tenure consideration (external)
Other:: Web-page design for non-profit corporation

Journal Publications

[J1]: "An Unusual Moving Boundary Condition Arising in Anomalous Diffusion Problems." SIAM Journal on Applied Mathematics, 55 (1995): 662-676 (with Donald S. Cohen).
[J2]: "Constant Front Speed in Weakly Diffusive Non-Fickian Systems." SIAM Journal on Applied Mathematics, 55 (1995): 1039-1058.
[J3]: "The Effect of a Changing Diffusion Coefficient in Super-Case II Polymer- Penetrant Systems." IMA Journal of Applied Mathematics, 55 (1995): 49-66 (with Donald S. Cohen).
[J4]: "A Mathematical Model for a Dissolving Polymer." AIChE Journal, 41 (1995): 2345-2355 (with Donald S. Cohen).
[J5]: "Non-Fickian Diffusion in Thin Polymer Films." Journal of Polymer Science, Part B: Polymer Physics Edition, 34 (1996): 981-997.
[J6]: "Perturbation Analysis of Thomas' and Windle's Model of Case II Transport." AIChE Journal, 42 (1996): 2025-2035 (with Christopher J. Durning and Donald S. Cohen).
[J7]: "Viscous Boundary-Layer Effects in Nearly Inviscid Cylindrical Flows."Nonlinearity, 10 (1997): 277-290.
[J8]: "Trace Element Disequilibria and Magnesium Isotope Heterogeneity in 3655A: Evidence for a Complex Multi-Stage Evolution of a Typical Allende Type B1 CAI." Geochimica et Cosmochimica Acta, 61 (1997): 1541-1561 (with Allen K. Kennedy et al.).
[J9]: "A Mathematical Model for Trapping Skinning in Polymers." Studies in Applied Mathematics, 99 (1997): 49-80.
[J10]: "Trapping Skinning in Polymers: Theoretical Predictions." Chemical Engineering Communications, 166 (1998): 201-216.
[J11]: "Asymptotic and Computational Analysis of Large Shear Deformations of a Thermoplastic Material."SIAM Journal on Applied Mathematics, 59 (1998): 700-24 (with Donald A. French).
[J12]: "An Asymptotic Analysis of Polymer Desorption and Skinning." Macromolecular Theory and Simulations, 8 (1999): 10-14.
[J13]: "Skinning During Desorption of Polymers: An Asymptotic Analysis." SIAM Journal on Applied Mathematics, 59 (1999): 1134-1155.
[J14]: "Estimating Rate Constants in a Convection-Diffusion System with a Boundary Reaction." IMA Journal of Applied Mathematics, 63 (1999): 89-112.
[J15]: "Transport Effects on Surface-Volume Biological Reactions." Journal of Mathematical Biology, 39 (1999): 533-561 (with Byron Goldstein and Donald S. Cohen).
[J16]: "Biochemical Reactions on Helical Structures." SIAM Journal on Applied Mathematics, 60 (2000): 1425-1446.
[J17]: "An Alternative Example of the Method of Multiple Scales." SIAM Review, 42 (2000): 317-332.
[J18]: "Surface Reaction Near a Stagnation Point." Studies in Applied Mathematics, 105 (2000): 1-29.
[J19]: "The Effect of a Receptor Layer on the Measurement of Rate Constants." Bulletin of Mathematical Biology, 63 (2001): 301-327.
[J20]: "A Spatially Nonlocal Model for Polymer-Penetrant Diffusion." Journal of Applied Mathematics and Physics, 52 (2001): 254-288.
[J21]: "A Differential Equation Model of North American Cinematic Box-Office Dynamics." IMA Journal of Management Mathematics, 12 (2001): 41-74 (with Ron A. Buckmire).
[J22]: "Testing the Validity of the Effective Rate Constant Approximation for Surface Reaction with Transport." Applied Mathematics Letters, 15 (2002): 547-552 (with Seth A. Jackson).
[J23]: "Desorption Overshoot in Polymer-Penetrant Systems: Asymptotic and Computational Results." SIAM Journal on Applied Mathematics, 63 (2002): 98-115 (with Richard A. Cairncross).
[J24]: "Traveling Waves for Anomalous Diffusion in Polymers." Applied Mathematics Letters, 17 (2004): 7-12 (with Sumanth Swaminathan).
[J25]: "Refining the Measurement of Rate Constants in the BIAcore." Journal of Mathematical Biology, 49 (2004): 272-292.
[J26]: "The Effect of Receptor Site Nonuniformity on the Measurement of Rate Constants." Applied Mathematics Letters, 18 (2005): 1101-1107 (with S. Swaminathan).
[J27]: "A Spatially Nonlocal Model for Polymer Desorption." Journal of Engineering Mathematics, 53 (2005): 221-238.
[J28]: "Convection Effects in the BIAcore Dextran Layer: Surface Reaction Model." Bulletin of Mathematical Biology, 68 (2006): 627-654.
[J29]: "Convection Effects in Thin Reaction Zones: Applications to BIAcore." SIAM Journal on Applied Mathematics, 66 (2006): 1978-1997.
[J30]: "Steric Hindrance Effects on Surface Reactions: Applications to BIAcore." Journal of Mathematical Biology, 55 (2007): 517-539.
[J31]: "Perturbation Approximation of Solutions of a Nonlinear Inverse Problem Arising in Olfaction Experimentation." Journal of Mathematical Biology, 55 (2007): 745-765 (with Donald A. French).
[J32]: "Steric Hindrance Effects in Thin Reaction Zones: Applications to BIAcore." IMA Journal of Applied Mathematics, 72 (2007): 865-893.
[J33]: "Identification of Cl(Ca) Channel Distributions in Olfactory Cilia." Mathematical Methods in the Applied Sciences, 31 (2008): 1860-1873 (with Donald A. French, Dorjsuren Badamdorj, and Steven Kleene).
[J34]: "Characterizing Molecular Diffusion in the Lens Capsule." Matrix Biology, 29 (2010): 228-236 (with Brian Danysh , et al.).
[J35]: "Transport Effects on Surface Reaction Arrays: Biosensor Applications." Mathematical Biosciences, 230 (2011): 12-22.
[J36]: "Characterization of the American Put Option Using Convexity." Applied Mathematical Finance, 18 (2011): 353-365 (with Dejun Xie, Gilberto Schleiniger, and Qinghua Zhu).

Other Publications

[O1]: "A Model for Venous Blood Flow in the Legs." Mathematical Modeling: IMA Summer Program for Graduate Students. IMA Preprint Series 1021 (1992): 31-54 (with Tara Athan [Mary Brewster], et al.).
[O2]: "Risk Assessment for Propane Gas Leakage in Valleys." Mathematical Modeling: IMA Summer Program for Graduate Students. IMA Preprint Series 1021 (1992): 109-34 (with Tara Athan [Mary Brewster], et al.).
[O3]: "Fluid Flow in a Filtering Device" Mathematical Modeling: IMA Summer Program for Graduate Students. IMA Preprint Series 1021 (1992): 191-221 (with Donald Drew, et al.).
[O4]: "Flow Improvement in Hydrofractured Reservoirs." Mathematical Modeling: IMA Summer Program for Graduate Students. IMA Preprint Series 1021 (1992): 269-95 (with Pat Hagan, et al.).
[O5]: A Model for Nonlinear Diffusion in Polymers. Ph.D. thesis, California Institute of Technology, 1994.
[O6]: "Modeling Large Gas Release Events from 'Dry' Waste Tanks." In Proceedings of the Eleventh Workshop on Mathematical Problems in Industry, Los Alamos Technical Report LA-UR 95-4038 (1995) (with Tara Athan [Mary Brewster], et al.).
[O7]: "Swelling and Collapse of Elastic Shells." Abstract. In Proceedings of the Twelfth International Congress on Rheology. A. Ait-Kadi et al, eds. Laval University Press, Quebec (1996): 343 (with Christopher J. Durning et al.).
[O8]: "Optimizing Membrane Separations of Two-Component Protein Solutions." In Proceedings of the Twelfth Workshop on Mathematical Problems in Industry (1996): 61-84 (with Skand Saksena, et al.).
[O9]: "Gas Concentration Measurements in Underground Waste Storage Tanks." In Proceedings of the Thirteenth Workshop on Mathematical Problems in Industry (1997) (with Tara Athan [Mary Brewster], et al.).
[O10]: "Theoretical Predictions of Trapping Skinning in Polymers." Extended abstract in Proceedings of the Ninth International Coating Science and Technology Symposium(1998).
[O11]: "Thermomechanical Models of Air Gap Nucleation During Pure Metal Solidification on Moving Molds with Periodic Surface Topographies." In Proceedings of the Fourteenth Workshop on Mathematical Problems in Industry (1999): 11-47 (with Louis G. Hector, Jr. et al.).
[O12]: "Interference Filters for Thermophotovoltaic Applications." In Proceedings of the Fifteenth Annual Workshop on Problems in Industry (2000) (with John Les et al.).
[O13]: "Options on Baskets." In Proceedings of the Sixteenth Workshop on Mathematical Problems in Industry (2001) (with Pat Hagan et al.).
[O14]: "Multi-Name Credit Derivatives." In Proceedings of the Seventeenth Workshop on Mathematical Problems in Industry (2002) (with Pat Hagan et al.).
[O15]: "Testing the Validity of the Averaged Approximation for the IAsys." University of Delaware Technical Report 2002-3 (2002) (with S. A. Jackson).
[O16]: "A Mathematical Model for Blood Clotting." University of Delaware Technical Report 2004-04 (2004) (with S. Swaminathan).
[O17]: "Multi-Phase Flow in a Thin Porous Material." In Proceedings of the Twentieth Workshop on Mathematical Problems in Industry (2005) (with Uwe Beuscher et al.).
[O18]: "Advanced Leak Detection." In Proceedings of the Twenty-First Workshop on Mathematical Problems in Industry (2006) (with R. P. Hart and D. Reicher et al.).
[O19]: "Development of a Quaternion-Based Alogrithm to Process Data in Robotics Applications." In Proceedings of the Twenty-Second Workshop on Mathematical Problems in Industry (2007) (with J. Ashmore, et al.).
[O20]: "Characterizing Molecular Diffusion in the Lens Capsule." In Proceedings of the Twenty-Third Workshop on Mathematical Problems in Industry (2008) (with M. Duncan, et al.).
[O21]: "An Asymptotic Method to a Financial Optimization Problem." In Advances in Machine Learning and Data Analysis, vol. 72. S. Ao, et al., eds. New York: Springer (2009): 79-94 (with D. Xie and G. Schleiniger).
[O22]: "Development and Persistence of 'Static' or 'Dead' Zones in Flows." In Proceedings of the Twenty-Fifth Workshop on Mathematical Problems in Industry (2009) (with J. Abbott, et al.).
[O23]: "Medical Ultrasound Imaging." In Proceedings of the Twenty-Sixth Workshop on Mathematical Problems in Industry, to appear (with B. Haider, et al.).
[O24]: "Modeling Photon Generation." In Proceedings of the Twenty-Seventh Workshop on Mathematical Problems in Industry, to appear (with C. McKinstrie, et al.).

References, Teaching Portfolio

Available upon request

Return to David A. Edwards Home Page.

Page last modified on .