
Curriculum Vitae
Thomas S. Shores
April, 2018
Date of Birth: May 28, 1942
Education:

Degree 
Year 
Institution 

B.S. (Mathematics) 
1964 
University of Kansas 

M.A. (Mathematics) 
1965 
University of Kansas 

Ph.D. (Mathematics) 
1968 
University of Kansas 
Professional Experience:

Teaching Assist., Math. 
196567 
University of Kansas 

Instructor, Math. 
196768 
University of Kansas 

Assist. Professor, Math. 
196872 
UNL 

Assoc. Professor, Math. 
197276 
UNL 

Professor, Math. 
19762010 
UNL 

Professor Emeritus, Math. 
2010present 
UNL 

Graduate Faculty Member & Fellow 
1970 
UNL 

Vice Chair, Mathematics & Statistics 
19751980 
UNL 

Acting Chair, Mathematics & Statistics 
1981 (JanuaryAugust) 
UNL 

Summer Chair, Mathematics & Statistics 
19761980 
UNL 

Visiting Professor of Mathematics 
19851986 
NCSU 

Interim Director, Actuarial Science 
19861987 
UNL 

Summer Chair, Mathematics & Statistics 
1998 
UNL 
Research Interests: Group theory, ring theory, commutative
algebra, mathematical modeling, general numerical analysis, numerical linear algebra, numerical
differential equations, Sinc methods, inverse theory.
Grants, Contracts, Fellowships, Leaves:
1985 Faculty Development Leave spent at North Carolina State University,
Department of Mathematics, Academic Year.
1990 NSF ILI Grant ($51,000) for ``Implementation of an Advanced
Laboratory for Mathematics Experimentation.''
1995 Faculty Development Leave spent in Lincoln, Spring Semester.
2002 Faculty Development Leave spent in Lincoln, Spring Semester.
Honors:
Distinguished Teaching Award, UNL, 1981.
MAA NebraskaSoutheast South Dakota Award for Distinguished Teaching,
1996.
Professional Society Memberships:
 SIAM
 American Mathametical Society
 Mathematical Association of America
Courses Taught (19932010):

AY 
Fall 
Spring 
Summer 

199394 
Math 208, 441 
Math 314H, 208 
Math 208 

199495 
Math 942, 314 
FDL 


199596 
Math 441, 957 
Math 447,314 
Math 314 

199697 
Math 314, 423 
Math 314, 221 


199798 
Math 106H,441, 942 
Math 107H, 447 


199899 
Math 314, 447 
Math 314, 405 


199900 
Math 208, 447 
Math 314H, 942 


200001 
Math 107, 441 
Math 208, 314H 


200102 
Math 107, 942 
FDL 


200203 
Math 221H, 398, 842 
Math 314H, 843 
Math 896 

200304 
Math 208H, 942 
Math 208, 208 


200405 
Math 208H, 208 
Math 340H, 433 


200506 
Math 208H, 208 
Math 496, JDEP 384H 


200607 
Math 314, 447 
Math 496, JDEP 384H 


200708 
Math 208H, 208 
Math 221, 428 


200809 
Math 221H, 447 
Math 441 

Independent Study, Reading Course Supervised (19932008):
 Numerical Analysis Seminar, for Kristin Pfabe, Kamel AlKhaled, Jennifer Raschko,
Paul Gierke and Iyad AbuJeib (199499).
 Directed senior thesis for James Yen entitled ``A biconjugation approach
to rank reduction'' (1997).
 Codirected senior thesis for Stephen Whalen entitled ``Stabilization
of the wave equation'' (1998).
 Reading course for Iouliana Stadnikova in numerical linear algebra
(1999).
 Reading course for Ned Hummel and Megan Sheets in multigrid methods
(2001).
 Reading course for Ned Hummel in inverse theory (2002).
 Directed Masters Thesis for Ned Hummel entitled ``On multigrid
methods and inverse problems'' (2002).
 Research experience reading course for Chandra Coleman and Joan Lubben
in inverse theory (2003).
 Readings course jointly with Ashok Samal (CSCE) for Won Lee and Wenjin
Zhou, both UCARE students, on level set methods for shape recognition
and noise removal (2004).
 Readings course jointly with Ashok Samal (CSCE) for Qing Yang and
Raghavendra Bemgal in diffusion methods and applicability to analysis
of spatial data, particularly criminal data (20042005).
 Readings course for Ned Hummel in multigrid methods (2005).
 Seminar in Sinc theory (Numerical Analysis Seminar, Math 957) for
Dan Buettner and Brian Bockelman (2005).
 Directing UCARE student Adam Nordloh in an inverse theory/mathematical
biology project (20052006).
Advising:
Ph.D. Students:

Name 
Student Status 

Bonnie Hardy 
graduated 1976 

Frederick Call 
graduated 1979 

Jagannadham Pakala 
graduated 1979 

Kristin Pfabe 
graduated 1995 

Kamel AlKhaled 
graduated 1996 

Jennifer Mueller 
graduated 1997 

Paul Gierke 
graduated 1999 

Iyad AbuJeib 
graduated 2000 

Ned Hummel 
graduate student 

Brian Bockelman 
graduated 2008 
Doctoral Committee Memberships:

Name 
Student Status 

Karl Byleen 
graduated 1974 

Bette Midgarden 
graduated 1978 

Brian Coomes 
graduated 1984 

Timothy Peil 
graduated 1990 

Axel Krings 
graduated 1993 

Michelle Homp 
graduated 1997 

Rikki Wagstrom 
graduated 1998 

Steven Lindblad 
graduated 2004 

Jiazheng Shi 
graduated 2005 CSCE 

Qing Yang 
current student, CSCE 

Bobbi Buchholz 
current student 
Other Graduate Student Advisees:

Name 
Student Status 

Paul Lawin 
inactive 

Neil Kerr 
inactive 
Seminar Participation (19932010):

19932002 
Applied Math Seminar 

19931999 
Numerical Analysis Seminar (MA 957) 

20012006 
Mathematical Biology Seminar 

20052006 
Numerical Analysis Seminar (MA 957) 
Service Activities (19932010):
Departmental:
 Chair of Computer Committee, 19841998.
 Member of Curriculum Committee, 19842003.
 Member of Alumnus Relations Committee, 20032010.
 Chair of Web Advisory Committee, 19961998.
 Chair of Technology Advisory Committee, 19982010.
 Member of Graduate Advisory Committee, 20052010.
 Member of Degrees with Distinction Committee, 19982005.
 Supervised the reorganization of the math department lab network to
a Windows NT network for Bessey 105, Summer 1998.
 Supervised the reorganization of the Nextstep side of the math department
lab network to a Linux network, Summer 1999.
 Supervised the planning and execution, and participated in the execution,
of the move of all our computer facilities from Oldfather Hall to
Avery Hall, Spring and Summer 2004.
College:
 Member of Integrated Sciences Committee, 19972000.
 Member of College Executive Committee, 20012005, Committee Chair
20042005.
Editorial, Refereeing and Reviewing Activities:
Referee for Pacific Journal of Mathematics, Rocky Mountain Journal
of Mathematics, Canadian Journal of Mathematics Mathematica Japonicae,
Applied Numerical Mathematics, Mathematica in Education, Inverse Problems
in Engineering and CTAC 2004 Proceedings. Referee for NSF Proposal.
Talks Presented at Professional Meetings (19932010):
 ``One sided Jacobi algorithms and The SVD'', Midwest Numerical
Analysis Conference, University of Iowa, April 1995.
 ``Stability of travelling waves in solute transport'', Numerical
Analysis Days, University of Utah, July, 1995.
 ``Numerical methods for systems of two balance laws in one space
dimension'', AMS Annual Meeting, San Diego, January 1997.
 ``Some aspects of Sinc theory in solving inverse problems'', International
Workshop on Nonlinear and Improperly Posed Problems, August 1998.
 ``An inverse coefficient problem for an integrodifferential equation'',
International Conference on Inverse and IllPosed Problems, Moscow
State University, June 2001.
 ``An Inverse Coefficient Problem in Adsorption Models'', Colorado
State University, May 2002.
 ``Numerical Methods for Parameter Identification in a OneDimensional
ConvectionDiffusion Equation'', First International Converence on
Inverse Problems: Modeling and Simulation, Fethiye, Turkey, July 2002.
 ``Some Applications of Sinc Methods to Parameter Identification
Problems'', Fifth International Conference on Industrial and Applied
Mathematics, Sidney, Australia, July 2003.
Other Professional Meetings Attended (19932010):
 AMS Annual Meeting, San Francisco, 1995. Annual SIAM Meeting, Kansas
City, 1996.
 AMS Annual Meeting, San Diego, 1997.
 International Workshop on Nonlinear and Improperly Posed Problems,
Izmit, Turkey, 1998.
Other Professional Activities (19932008):
 Math Computer Lab Manager, 19911995.
 Director of Math Lab, 19952008.
 Attended a TTT workshop and reported to the department in a colloquium
with John Orr and Mel Thornton on multimedia in the classroom, November
1995.
 Presented paper ``New directions in technology in the classroom''
at Koeceli University, Izmit, Turkey, June 1997.
 Served on Programme Committee for International Workshop on Nonlinear
and Improperly Posed Problems, 1998.
Publications:
 A note on products of normal subgroups, Canad. Math. Bull.
12(1969), 2124.
 On Zhypercentral normal subgroups, Arch. der Math. 21(1970),
344348.
 On the theory of Engel elements in groups, Illinois J. Math.
15(1971), 578594.
 Decompositions of finitely generated modules, Proc. Amer. Math.
Soc. 30(1971), 445450.
 On the star condition, Arch. der Math. 23(1972), 19.
 Injective modules over duo rings, Pac. J. Math. 40(1972), 895702.
 The structure of Loewy modules, J. reine angew. Math. 254(1972),
204220.
 A chain condition for groups, Rocky Mountain J. Math. 3(1973),
8389.
 Decompositions of modules and matrices, Bull. Amer. Math. Soc.
79(1973), 12771280 (with R. Wiegand).
 Decomposition of torsion classes, Math. Japonicae 18(1973),
181185.
 Bezout rings and their modules, Proceedings of Oklahoma Ring
Theory Conference, Vol. 7 of Lecture Notes in Pure and Applied Mathematics,
Marcel Dekker, Inc., 1973, 6373.
 Serial Modules and endomorphism rings, Duke Math. J. 41(1974),
889909 (with W. J. Lewis).
 Loewy series of modules, J. reine angew. Math. 265(1974), 183200.
 Elementary divisor rings and finitely presented modules, Trans.
Amer. Math. Soc. 187(1974), 221248 (with M. Larsen and W.J. Lewis).
 Some criteria for Hermite rings and elementary divisor rings,
Canad. J. Math. 26(1974), 13801383 (with R. Wiegand).
 Modules over semihereditary Bezout rings, Proc. Amer. Math.
Soc. 46(1974), 211213.
 Rings whose finitely generated modules are direct sums of cyclics,
J. of Algebra 32(1974), 152172 (with R. Wiegand).
 On generalized valuation rings, Michigan Math. J. 21(1974),
405409.
 A continuity criterion for functors, Math. Annalen 217(1975),
161164.
 Splitting torsion theories over commutative rings, Bulletin
of Austr. Math. Soc. 13(1975) , 457464 (with J. Fuelberth and J.
Kuzmanovich).
 A topological criterion for primary decomposition, Acta. Math.
Sci. Hung. 28(1976), 383387.
 Arithmetical and semihereditary semigroup rings, Communications
in Algebra 8(17) (1980), 15931642 (with L. Chouinard and B. Hardy).
 The splitting of bounded torsion submodules, Communications
in Algebra 9(11) (1981), 11611214 (with F. Call).
 Arithmetical semigroup rings, Can. J. Math. 32(1980), 13611371
(with B. Hardy).
 On compactly packed rings, Pacific Journal of Mathematics 97(1981),
197201 (with J. Pakala).
 The splitting of finitely generated modules, Osaka J. Math.
22(1985), 433446 (with J. Pakala).
 The topology of torsion classes, Communications in Algebra
17(3), 691701(1989).
 Experiments with computational linear algebra in the classroom,
Proceedings of ASEE Annual Conference, Vol. 2(1989), p. 568570.
 Lab components in postcalculus mathematics courses, Proceedings
of Third International Conference on Technology in Collegiate Mathematics,
Contributed Papers.
 Steady state solutions to the Model Problem, Applicable Analysis,
Vol. 48 (1993), p. 273286 (with J. David Logan).
 On a system of nonlinear hyperbolic conservation laws with sources,
Math. Methods and Models in Applied Sciences, Vol. 3 (1993), p. 341358
(with J. David Logan).
 Travelling waves produced by moving sources in a nonlinear reactiveconvective
system, Math. Methods and Models in Applied Sciences, Vol. 3 (1993),
p. 118 (with J. David Logan).
 Subspace projection variants on Newton's Method, Comp. & Maths.
with Appls. Vol. 27 (1994), p. 717 (with Chris Tiahrt).
 Stability of travelling waves for a solute transport problem
in porous media, Canad. Quart. Appl. Math., Vol. 4 (1996), p. 243263
(with J. David Logan and Steve Cohn).
 Uniqueness and numerical recovery of a potential on the real
line, Inverse Problems, Vol. 13 (1997), p. 781800 (with J. Mueller).
 Solution of an inverse coefficient problem for an ordinary differential
equation, Applicable Analysis, Vol. 67 (1997), 1119 (with A. Hasanov).
 Numerical methods for an ion transport problem, Applied Numerical
Mathematics 32 (2000), 175193 (with K. Pfabe).
 Numerical study of reactionmineralologyporosity changes in
porous media, Applied Mathematics and Computation, Vol. 127(2002),
149164 (with J. Logan and M. Petersen).
 An inverse coefficient problem for an integrodifferential equation,
Applicable Analysis, 81(2002), 725752, (with A. Denisov).
 On properties of matrix of Sinc methods, New Zealand
Journal of Mathematics, 32(2003), 110 (with I. AbuJeib).
 A new SincGalerkin method for convectiondiffusion equations
with mixed boundary conditions, Comp. and Math. with Apps., 47(2004),
803822 (with J. Mueller).
 Numerical methods for parameter identification in a convectiondiffusion
equation, ANZIAM J. (E), 660675 (2004).
Books:
 Applied Linear Algebra and Matrix Analysis, Undergraduate Mathematics
Series, SpringerVerlag, 2007.
 Applied Linear Algebra and Matrix Analysis, 2nd Ed., Undergraduate Mathematics
Series, SpringerVerlag, 2018.
