Curriculum Vita

David A. Edwards
Professor of Mathematics
Department of Mathematical Sciences

University of Delaware
Newark, DE 19716-2553
(302) 831-1871

https://sites.udel.edu/dedwards

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

Jump ahead to Service, Journal Publications, or Other Publications.

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

(Tenured) Professor
Department of Mathematical Sciences
University of Delaware
Newark, Delaware: Pursue interesting questions in biochemical reactions, electrogenerated chemiluminescence waves, neural signaling in the olfactory system, solar cells, mathematical finance, box office dynamics, 3-D printing, and transport in foams. Teach (undergraduate) Differential Equations with Linear Algebra I and II, Elementary Linear Algebra, Engineering Mathematics I, Ordinary Differential Equations, Application of Mathematics in Economics, Introduction to Partial Differential Equations and (graduate) Introduction to Applied Mathematics I and II, Vector Spaces, Asymptotics and Perturbation Methods, and Introduction to Mathematical Finance.

September 2010-August 2011

Interim Chair
Department of Mathematical Sciences
University of Delaware
Newark, Delaware: Led a department of over 50 full-time faculty and staff. Responsible for faculty and personnel development, program development and departmental planning, and budgetary functions.

September 2022-August 2024

September 2005-August 2010

Associate Chair
Department of Mathematical Sciences
University of Delaware
Newark, Delaware: Had primary responsibility for most teaching-related functions of the department. Responsible for course scheduling and instructor assignment for mathematical sciences courses. Served as complaint resolution official. Approved transfers of credit and grade changes. Supervised some instructional personnel.

March 1999-September 2024

Consultant
Jones Day
Washington, District of Columbia: Analyze the validity of mathematical models presented as evidence in litigation. Perform statistical analysis of various data introduced in litigation.

September 2001-August 2007

(Tenured) Associate Professor
Department of Mathematical Sciences
University of Delaware
Newark, Delaware: Pursued interesting questions in mathematical finance, neural signaling in the olfactory system, and biological bimolecular reactions. Also did modeling research in polymer skinning. Taught (undergraduate) Analytic Geometry and Calculus A, Ordinary Differential Equations, Differential Equations with Linear Algebra I, and (graduate) Asymptotics and Perturbation Methods, Vector Spaces, and Introduction to Applied Mathematics I and II.

September 1997-August 2001

(Tenure-Track) Assistant Professor
Department of Mathematical Sciences
University of Delaware
Newark, Delaware: Pursued research in polymers, biological bimolecular reactions, shear band formation, and box office dynamics. Teach (undergraduate) Analytic Geometry and Calculus A and C, Elementary Linear Algebra, Differential Equations with Linear Algebra I and II, and (graduate) Topics in Differential and Integral Equations and Introduction to Applied Mathematics I and II.

August 1995-July 1997

Visiting Assistant Professor/NSF Research Instructor
Department of Mathematics
University of Maryland, College Park
College Park, Maryland: Pursued interesting questions related to my thesis research in polymers and explore new avenues of investigation, including viscoelastic rod dynamics, shear band formation, and biological bimolecular reactions. Taught (undergraduate) Introduction to Linear Algebra and (undergraduate/graduate) Methods and Models in Applied Mathematics II.

September 1994-August 1995

Assistant Professor of Mathematics/Courant Instructor/ NSF Research Instructor
Courant Institute of Mathematical Sciences
New York University
New York, New York: Pursued interesting questions related to my thesis research in polymers and explored new avenues of investigation, including Prandtl boundary-layer flow. Taught (undergraduate) Calculus I and (graduate) Linear Algebra II.

Scholarly Funding

Research:

National Science Foundation, 2013-17

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 Sixteenth Annual Gradute Student Mathematical Modeling Camp, 2020-22 (PI)

National Science Foundation, Support of the Fifteenth Annual Gradute Student Mathematical Modeling Camp, 2019-22 (PI)

National Science Foundation, Support of the Twenty-Ninth through Thirty-Fifth Annual Workshop on Problems in Industry, 2013-19 (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 Graduate Student Mathematical Modeling Camp in 2023 ($2,500, co-PI), 2021 ($5,000, co-PI), 2019 ($4,000, co-PI); Support of the Mathematical Problems in Industry Workshop in 2015 ($5,000, co-PI), 2012 ($5,000, co-PI), 2007 ($5,000, co-PI), 2004 ($4,000, co-PI)
National Institute for Standards and Technology:: Support of the Mathematical Problems in Industry Workshop in 2000 ($8,500, PI: Richard Braun), 1999 ($5,000, 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:: Toyota-UD Applied Math Initiative Workshop for High School Teachers, University of Delaware, July 2014; Department of Mathematical Sciences, New Jersey Institute of Technology, October 2012; 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 Conference on Applied Mathematics Education, Pittsburgh, July 2022; AMS Sectional Meeting #1098, Catonsville, MD, March 2014; 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 Conference on Financial Mathematics & Engineering, Toronto, July 2019; SIAM Annual Meeting, Boston, July 2016; SMB Annual Meeting, Atlanta, July 2015; 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); Third SIAM Conference on Mathematical Aspects of Materials Science, Philadelphia, May 2000; BIAsymposium, San Francisco, November 1999 (poster presentation); SIAM Annual Meeting, Toronto, July 1998 (two papers: talk 1, talk 2); Ninth International Coating Science and Technology Symposium, Newark, DE, May 1998 (proceedings published; see [O10]); SIAM Annual Meeting, Kansas City, July 1996 (session chair); AIChE Annual Meeting, San Francisco, November 1994; SIAM Annual Meeting, San Diego, July 1994

Workshops resulting in reports:

Mathematical Problems in Industry Workshop:
(Asterisks indicate served on organizing committee): 2022^* (Worcester, MA; [O37]), 2021^* ([O33]), 2020^* ([O32]), 2019^* (Newark, NJ; [O31] and [O35]), 2018^* (Claremont, CA; [O30] and [O34]), 2017^* (Newark, NJ; [O29]), 2016^* (Durham, NC; [O28]), 2015^* (Newark, DE; [O27]), 2014^* (Newark, NJ; [O26]), 2013^* (Worcester, MA; [O25]), 2012^* (Newark, DE; [O24]), 2011 (Newark, NJ; [O23]), 2010 (Troy, NY; [O22]), 2009^* (Newark, DE; [O21]), 2007^* (Newark, DE; [O20]), 2006^* (Needham, MA; [O19] and [O36]), 2005 (Worcester, MA; [O18]), 2004^* (Newark. DE; [O17]), 2001 (Troy, NY; [O14]), 2000^* (Newark, DE; [O13]), 1999^* (Newark, DE; [O12]
), 1998 (Troy, NY; [O11]), 1997 (Troy, NY; [O9]), 1996 (Troy, NY; [O8]), 1995 (Albuquerque, NM; [O6])
Pall Corporation Industrial Study Group, Portsmouth, UK, March 2013

Advisement

Graduate Research:

Alexandra Vasconez-Moncayo, Summer 2020

Avishek Mukherjee, Summer 2018

Ryan Evans, “A Mathematical Journey Through Optical Biosensors,” 2014-16

Nicholas Kaufman, Summer 2014

Matt Zumbrum, “Extensions for a Surface-Volume Reaction Model with Application to Optical Biosensors,” 2010-13

Qinghua Zhu, “Pricing Exchange Options with Stochastic Correlations,” 2006-10

Amit Samant (co-advisor with Gilberto Schleiniger), 2002-04

Undergraduate Research:

Jacob Sitison, “3-D Printing Extrusion Rates Through a Tapered Nozzle,” Summer 2019-Spring 2020 (thesis): (manuscript published; see [J59])
Ryan Talley-McGovern, “Modeling Transport Effects in BIAcore Reactions”, Summer 2018
Lucas Onisk, “Multi-Site Reaction Rate Constant Evaluation”, Summer 2017
Wenbin Li, Summer 2015-16
Alyson Grassi, “Modeling Multicomponent Reactions Through the Use of Ordinary Differential Equations”, Summer 2014
Jessica Shearer, “Multicomponent Reactions in the BIAcore”, Summer 2013
Linsey Norris, “Continuing Numerical Modeling for the Receptor Layer in the BIAcore,” Summer 2006
Ken Bell, “A Numerical Model for the Receptor Layer in the BIAcore,” Summer 2004
Sumanth Swaminathan, “A Mathematical Model of Blood Clotting,” Summer 2003-Winter 2004: (results published; see [O16])
Sumanth Swaminathan, “Effects of Small Receptor Density Variation in the BIAcore,” Winter 2003: (results published; see [J26])
Sumanth Swaminathan, “Traveling Wave Solutions of Nonlinear Diffusion Equations,” Summer 2002: (results published; see [J24])
Nate Allen, “The Effects of a Receptor Layer in the BIAcore Device,” Summer 2001
Seth Jackson, “A Nonlinear Integral Equation Arising in the IAsys Device,” Summer 2000: (manuscript published; see [O15])
Seth Jackson, “A Nonlinear Integral Equation Arising in Biochemical Systems,” Summer 1999: (manuscript published; see [J22])

University Related:

MSDS Graduate Advisor, 2020-present

MATH Graduate Mentor, 2020-23

MATH Undergraduate Advisor, 1997-2005

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 Maple, Mathematica, Matlab, and TEX.; Good working knowledge of C, C++, Canvas, HTML, LaTEX, and Qualtrics.; Extensive knowledge of Macintosh operating system.; Good working knowledge of UNIX and Microsoft Windows operating systems.; Familiarity with Linux operating system.

Languages:: Excellent French reading comprehension and writing skills.; Acceptable French oral communication skills.

Departmental Service

Major Duties:: Interim Chair, 2010-11; Associate Chair, 2005-10, 2022-24; Ex officio member, Advisory Committee, 2005-11, 2022-24; Member, Development Committee, 2024-25; Member, Graduate Committee: Spring 2001, 2013-17, 2020-21; Member, Math Alliance: 2020-23; Graduate Student Mentor: 2020-23; Co-Chair, Ad Hoc CT Priorities Committee, 2021-22; Organizer, Departmental Math Awareness Month Activities, 2003-04, 2006; Chair, Outreach Committee: 2002, Spring/Summer 2004; Chair, Colloquium Committee: 1998-99; Secretary, Promotion and Tenure Committee: 2015-16, 2018-19; Member, Promotion and Tenure Committee: 2001-present; Chair, Peer Review Committee: 2013, 2016-19; Member, Peer Review Committee: 2008, 2012; Undergraduate Research Coordinator, 2012-13; Member, Undergraduate Studies Committee: 1999-2000, 2001-02, 2012-13, 2017-18; Member, Convocation Committee: 1998-99, 2000-01, 2002-05; Member, Computer Technology Committee: 1999-2001; Member, Colloquium Committee: 1997-98

Search Committees:: Search Committee Chair: 2014-15 (tenure track), 2021-22 (continuing track); Actuarial Sciences Search Committee, 2022–23; Opportunity Search Committee: 2014; UNIDEL Postdoctoral Search Committee: 2005-10; Probability/Topology Search Committee, 2003-04; Applied Mathematics Search Committee: 2001-02; Temporary Assistant Professor Search Committee: 2000-01

Examination Committees:: Chair, Applied Math Candidacy Exam Committee: Winter 2002; Member, Dissertation Defense Committee: 2000, 2003, 2006 (MEEG), 2013, 2018, 2021 (FSAN), 2023 (FSAN); Member, Linear Algebra Preliminary Exam Committee: 2002-06, 2009, 2014, 2017, 2018; Member, Applied Math Candidacy Exam Committee: 2000-01, 2011, 2013, 2014; Member, PDE Candidacy Exam Committee: 1999; French Examiner: 1999

Course Coordinator/Leader for:: Mathematics 351: Fall 2022; Mathematics 302: Fall 2002; Mathematics 241: Fall 1998, Fall 2001, Spring 2002

Other Duties:: Department Marshal, Commencement Exercises: 1998-2005, 2007-11, 2013-18, 2020-present; ACSC Recruiting Video, 2021; Math Circles Presenter, 2013; Co-Organizer, Applied Math Seminar: Spring 2001