Minors: Business Economics, Physics Graduate with Highest Distinction; McCree Award for the top junior Mathematics major, 1983 University Concert Band, 1982-84; University Football Team, 1980-81

Faculty Appointments, 1989-Present

Professor of Mathematics and Graduate Faculty, Purdue University Fort Wayne, Fort Wayne, Indiana, 2013-Present PFW Campus Advisory Committee for Equity, 2014-Present; PFW TRIO SSS “I’m First Too” Award, 2020 IPFW Chapter of Sigma Xi Researcher of the Year, 2017; College of Arts & Sciences Pippert Science Research Scholar Award, 2016 Professor of Mathematics and Graduate Faculty, University of Wisconsin-Stout, Menomonie, Wisconsin, 2009-2013 Calculus Program Consultant and Instructor, University of Minnesota Talented Youth Mathematics Program, Rochester, Minnesota, 2004-2007 Professor of Mathematics and Graduate Faculty, Winona State University, Winona, Minnesota, 1992-2009 Professor 1998-2009, Associate Professor 1994-1998, Tenured 1994, Assistant Professor 1992-1994 Assistant Professor of Mathematics and Graduate Faculty, Ball State University, Muncie, Indiana, 1989-1992

Administrative Appointments, 1999-Present

Associate Chair, Department of Mathematical Sciences, Purdue University Fort Wayne, Fort Wayne, Indiana, 2022-Present (Acting Chair, 2024) Co-Director, Center for Applied Mathematics & Statistics, Purdue University Fort Wayne, Fort Wayne, Indiana, 2015-Present Interim Chair, Department of Chemistry & Biochemistry, Purdue University Fort Wayne, Fort Wayne, Indiana, 2019-2022 Vice Chancellor for Academic Affairs, Indiana University-Purdue University Fort Wayne, Fort Wayne, Indiana, 2013-2014 Founding Dean, College of Science, Technology, Engineering, & Mathematics, University of Wisconsin-Stout, Menomonie, Wisconsin, 2009-2013 Grants and Special Projects Coordinator, College of Science & Engineering, Winona State University, Winona, Minnesota, 2008-2009 Interim Dean, College of Science & Engineering, Winona State University, Winona, Minnesota, 2006-2008 Department Chair, Mathematics & Statistics, Winona State University, Winona, Minnesota, 1999-2006

Service on National Organizations, 2008-Present

Reviewer for American Mathematical Society Mathematical Reviews (over 30 published reviews), 2008-Present Higher Learning Commission Peer Review Corps, AQIP and Standard/Open Pathways Reviews, Project Review Team Mentor, Change Panel Member, Site Visit Team Chair, 2010-2023 Association of American Colleges & Universities, Multi-State Collaborative, VALUE Rubric Pilot, Qualitative Literacy Scorer, 2016 American Association of State Colleges & Universities Becoming A Provost Academy, Academy Participant, Session Panelist, and Faculty Mentor, 2012-2014 Co-chair of American Society for Engineering Education, Dean’s Council Undergraduate Experience Committee, 2012-2013

Faculty Advisor for Student Projects and Research

• V. Kapre, "On solving differential equations describing the ecology of shallow lakes: a comparison of classical and modern computational methods through Python" (to appear in Spora: A Journal of Biomathematics), Purdue University Fort Wayne Laboratory of Data Science Master's Research Assistant, jointly advised with A. Selvitella, funding provided by Indiana Data Mine grant, 2024
  
• E. Nesler, “Euchre: a Probability Based Strategy Guide”, Purdue University Fort Wayne Honors Project, 2019
  
• G. Le, “A numerical investigation on the Earth - Moon - Sun system”, Indiana University-Purdue University Fort Wayne Honors Project, 2017
  
• A. Lamers, “WSU beginning mathematics students’ misconceptions on division by zero”, Winona State University Undergraduate Independent Research Project, 2004-2006
• J. Zahnmiller, “Numerical investigations of periodic behavior in models of autonomous systems”, Winona State University Undergraduate Independent Research Project, 2002-2004
• K. Hansen,  “Numerical analysis of convection-diffusion models on Matlab”, Winona State University Undergraduate Independent Research Project, 1999-2000
• K. Frikken, “Uses of Galois theory in cryptography”, Winona State University Department of Mathematics and Statistics Honors Project, 1999-2000
• C. Coit, “Uses of Galois theory in cryptography”, Winona State University Department of Mathematics and Statistics Honors Project, 1999-2000
• T. Bergemann, “Topics in calculus reform”, Winona State University Undergraduate Independent Research Project, 1995-1997
• A. Politano, “The persistence of subsurface moisture”, Ball State University Undergraduate Fellows Program, 1992-1993
• D. Noyes, “Numerical investigations of the stability of equilibrium state of water and contaminant flow”, Ball State University Undergraduate Fellows Program, 1991-1992
• R. Harris, “An elementary survey of the theory of distributions”, Ball State University, Master’s Degree Creative Component, 1991-1992
• B. Mast, “A differential equation model of an optimal money growth rate”, Ball State University, Master’s Degree Creative Component, 1991-1992

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Publications

• Solvability of nonlinear diffusion models with flux at the boundary driven by nonmonotone local and memory interactions, Journal of Mathematical Analysis and Applications 528, Article 127467, 2023
  
• Blow up and global solvability for an absorptive porous medium equation with memory at the boundary, with K. Deng, Institute of Mathematics & its Applications Journal of Applied Mathematics, 86, 1327-1348, 2021, DOI: 10.1093/imamat/hxab039
• Ecological thresholds and regime shifts within hydrologically modified rivers: a 75+ year retrospective analysis, with M. Delong and J. Thorp, River Research and Applications, 37, 54-63, 2020, DOI: 10.1002/rra.3749
  
• Global solvability for a diffusion model with absorption and memory driven flux at the boundary, with K. Deng, Zeitschrift für Angewandte Mathematik und Physik, 71, 50, 2020, DOI: 10.1007/s00033-020-1272-2
  
• A lower bound on the blow up time for solutions of a chemotaxis system with nonlinear chemotactic sensitivity, with K. Deng, Nonlinear Analysis, 159, 2-9, 2017, invited publication
  
• A fast diffusion model with memory at the boundary: Global solvability in the critical case, Applicable Analysis, 96, 771-777, 2017, DOI: 10.1080/00036811.2016.1157587
  
• Global behavior of solutions to the fast diffusion equation with boundary flux governed by memory, with K. Deng and Q. Wang, Mathematical Methods in the Applied Sciences, 39, 4451-4462, 2016, DOI: 10.1002/mma.3874
  
• Global solvability for the porous medium equation with boundary flux governed by nonlinear memory, with K. Deng, Journal of Mathematical Analysis and Applications, 423, 1183-1202, 2015
  
• Global solvability for the heat equation with boundary flux governed by nonlinear memory, with K. Deng and Z. Dong, Quarterly of Applied Mathematics, 69(4), 759-770, 2011
• Long-time behavior of solutions of a nonlinear diffusion model with transmission boundary conditions, Dynamical Systems and Applications, 18(1), 2009
• Unique solvability of a nonlinear diffusion model with transmission boundary conditions, Dynamics of Continuous, Discrete and Impulsive Systems Series A:  Mathematical Analysis, 13B, 159-170, 2006
• Positivity and finite time extinction in nonlinear diffusion-absorption models with convection, Dynamics of Continuous, Discrete and Impulsive Systems Series A:  Mathematical Analysis, 10, 149-156, 2003
• On the unique solvability of a nonlinear reaction-diffusion model with convection, Journal of Mathematical Analysis and Applications, 255, 564-588, 2001
• Existence and uniqueness of solutions of degenerate parabolic equations in exterior domains, with N. Su and H. Zhang, Nonlinear Analysis, Theory, Methods, and Applications, 44, 453-468, 2001
• Necessary and sufficient conditions for the unique solvability of a nonlinear reaction-diffusion model, Journal of Mathematical Analysis and Applications, 228, 483-494, 1998
• Global existence for degenerate parabolic equations with a nonlocal forcing, with K. Deng, Mathematical Methods in the Applied Sciences, 20, 1069-1087, 1997
• Global solvability of nonlinear diffusion equations with forcing at the boundary, Journal of Mathematical Analysis and Applications, 207, 515-535, 1997
• Global existence for nonlinear diffusion equations, with K. Deng, Journal of Mathematical Analysis and Applications, 196, 479-501, 1995
• Stability and instability for solutions of the convective porous medium equation with a nonlinear forcing at the boundary II, Journal of Differential Equations, 104, 386-408, 1993
• Stability and instability for solutions of the convective porous medium equation with a nonlinear forcing at the boundary I, Journal of Differential Equations, 104, 361-385, 1993
• Spontaneous bifurcation for the convective porous medium equation with a nonlinear source, Nonlinear Analysis, Theory, Methods, and Applications, 21, 307-326, 1993
• Quantitative analysis of vertical groundwater flow with a nonlinear flux, with D. Noyes, Ball State University Department of Mathematical Sciences Technical Report No. 85, 1992
• The effects of convection on reaction-diffusion equations, in Partial Differential Equations (J. Wiener and J. Hale editors), Pitman Research Notes in Mathematics Series #273, Longman Scientific and Technical, 1992
• Local existence and uniqueness of solutions of degenerate parabolic equations, Communications in Partial Differential Equations, 16, 105-143, 1991
• Qualitative studies of a convective porous medium equation with a nonlinear forcing at the boundary, Ph.D. Dissertation, 1989

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Grants and Funded Projects

• Center of Applied Mathematics & Statistics Research Contract (2020), Preliminary assessment of Vision Menu leasing dataset for machine learning algorithms, Vision Menu, Inc. Joint project with A. Selvitella and P. Dragnev, $7,200
  
• Center of Applied Mathematics & Statistics Research Contract (2017-18), Lease payment calculation algorithm - Implementation and optimization, Vision Menu, Inc. (four technical assistance contracts approved). Joint project with D. Coroian, P. Dragnev, and A. Anderson (mathematics graduate student), $24,018
• Center of Applied Mathematics & Statistics Research Contract (2017), Evaluation of polynomial based model for estimating power and capacity of geothermal units, Water Furnace International. Joint project with D. Coroian and P. Dragnev, $7,200
• Center of Applied Mathematics & Statistics Research Contract (2016), Algorithmic development of a lease calculation system, Vision Menu, Inc. Joint project with D. Coroian and P. Dragnev, $26,693
  
• Center of Applied Mathematics & Statistics Research Contract (2015-2016), Mathematics support to improve accuracy of results from a data analysis spreadsheet tool, Vision Menu, Inc. Joint project with D. Coroian and P. Dragnev, Total budget after three project extensions and two technical assistance contracts $44,000
  
• Purdue Technical Assistance Program (2014), Correlation and analysis of results for in-process and final testing on voice amplifier, Ultra Electronics USSI. Joint project with D. Coroian and P. Dragnev, $7,200
  
• University of Wisconsin System Grant (2012-2014), University of Wisconsin-Stout Fab Lab – Leveraging Innovation to Grow People, Jobs, and Communities, PI R. Hulke, University of Wisconsin-Stout Discovery Center Executive Director. Served as STEM Administrative Lead, $796,359
• Sloan Foundation (2010-2012), Market Analysis and Feasibility Study of Professional Science Masters Degree Programs, Minnesota State Colleges and Universities, Partners in North Dakota and Wisconsin, $131,822
• National Science Foundation (2010-2011), Landscape Legacies in Rivers: Retrospective Analyses of Changes in Ecosystem Function across Two Centuries. Co-Principal Investigators: J. Thorpe, University of Kansas and M. Delong, Winona State University. Served as consultant for mathematical models, $80,000
• U.S. Department of Labor (2008-2011), Building Capacity to Grow Minnesota’s Clinical Laboratory Workforce, Lead organizations: St. Paul College and Allina Hospitals and Clinics; Served as Winona State University Project Administrator, $3,075,354
• Minnesota State Colleges and Universities System Grant (2008-2011), A System-wide Program Placing Student Interns and Faculty Externs in Bioscience Companies, Research Institutes And Universities. Served as Winona State University Lead, coordinated with Project Lead at Anoka-Ramsey Community College, $265,000
• Minnesota State Colleges and Universities System Grant (2008-2009), Preparing Students for STEM Majors: A Thinking Skills Approach. Served as mathematics faculty lead with J. Deming, Chemistry and N. Moore, Physics, $35,000
• Winona State University Foundation (2008-2009), STEM Days for Winona Area Middle School 8th grade students and Winona State University STEM major seminar experiences. Project PI, coordinated 8 college faculty, 10 middle school teachers and chaperones, and 300 middle school participants, $21,070
• Medtronic Foundation (2008-2009), Minnesota Science Museum Project Nexus, Winona State University team member with 3 campus colleagues. Total in-kind value of program support $11,800
• Minnesota Department of Education (2008-2009), PASCaL (Premise: All Students Can Learn) ACAD=MY: Southeast MN Math and Science Teacher Academy. Served as Academy Director, worked in collaboration with Project Director at Southeast Service Cooperative, $574,332
• Minnesota Department of Education (2008-2009), Systemic STEM School Redesign, Winona Area Public Schools. Served on grants team along with colleagues from Winona State University College of Science & Engineering faculty and administration, $40,000
• Minnesota Office of Higher Education (2008-2009), Healthy Futures, Winona Area Public Schools; Served on grants team along with colleagues from Winona State University College of Science & Engineering faculty and administration, $100,000
• U.S. Geological Survey (2008), Examination of Abiotic and Biotic Factors Affecting the Ecosystem Viability of the Upper Mississippi River System, student summer research projects conducted at Upper Midwest Environmental Science Center, LaCrosse, WI, $19,995
• Minnesota State Colleges and Universities System Grant (2007-2008), More and Better Science and Mathematics Teaching and Learning. Joint project with S. Staniford, Winona State University Dean of Education, $63,000
• Environmental Protection Agency (2005-2008), Determination of Ecological Thresholds in Rivers, Served as Co-Principal Investigator with J. Thorpe, University of Kansas and M. Delong, Winona State University, $297,489
• National Science Foundation (1994-1995), Mathematical Sciences Computing Research Environments. Joint project with Mathematics and Statistics colleagues B. Deppa, F. Pascual, and C. Arteaga, $25,000
• Winona State University Grants (1993-2007), 16 Professional Improvement, Special Projects, and Research Grants received during this time period. Total awarded funds $56,061
• Ball State University Grants (1990-1993), 4 Research and Undergraduate Fellows Grants received during this time period. Total awarded funds $5,106

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