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, 130, 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:: National Science Foundation, Support of the Twenty-Ninth through Thirty-First Annual Workshop on Problems in Industry, 2013-15 (co-PI)
National Science Foundation, Support of the Twenty-Eighth Annual Workshop on Problems in Industry, 2012 (co-PI)
Institute for Mathematics and Its Applications, Support of the Twenty-Eighth Annual Workshop on Problems in Industry, 2012 (co-PI); 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:: Conference on Applied Analysis and Mathematical Biology, University of Delaware, August 2012; 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 reports:

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, 2012; Member, Convocation Committee: 1998-99, 2000-01, 2002-05; Member, Undergraduate Committee: 1999-2000, 2001-02, 2012-present; 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), 2013; 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, 2007-2011, 2013-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-Ninth Annual Workshop on Problems in Industry, 2013; 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).
[J37]: "Sharp Fickian Behavior of Electrogenerated Chemiluminescence Waves in Conjugated Polymer Films." Journal of Physical Chemistry, Part C, 117 (2013): 6747-6751.
[J38]: "Wavefunction Delocalization in Quantum Dot Arrays: An Asymptotic Analysis." Accepted by the Journal of Engineering Mathematics (with William M. Reid and Matt Doty).
[J39]: "A Mathematical Model of Cinematic Box-Office Dynamics with Geographic Effects." Accepted by the IMA Journal of Management Mathematics (with Ron A. Buckmire and Jacob Ortega-Gingrich).
[J40]: "An Application of Matrix Theory to the Evolution of Coupled Modes." Accepted to SIAM Review (with Joseph Fehribach, Richard Moore, and Colin McKinstrie).

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, (2010) (with B. Haider, et al.).
[O24]: "Modeling Photon Generation." In Proceedings of the Twenty-Seventh Workshop on Mathematical Problems in Industry (2011) (with C. McKinstrie, et al.).
[O25]: "Fuel Cell Assembly Process Flow for High Productivity." In Proceedings of the Twenty-Eighth Workshop on Mathematical Problems in Industry (2012) (with R. Ramanan, et al.).

References, Teaching Portfolio

Available upon request

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