Emerita and Emeritus Faculty

Research interests:

• Interactions between Mathematical Logic and Topology

Selected publications:

• When Hausdorff continua have no gaps, Topology Proceedings 44 (2014), 177--188.
• Road systems and betweenness, Bulletin of Mathematical Sciences 3, no. 3 (2013), 389--408.
• Categoricity and topological graphs, Houston Journal of Mathematics, vol. 38, no.1, (2012 ), 295-310.
• Base-free formulas in the lattice-theoretic study of compacta, Archive for Mathematical Logic, vol. 50, no. 5-6 (2011), 531-542.
• On the first-order expressibility of lattice properties related to unicoherence in continua, Archive for Mathematical Logic, Vol. 50, no. 3-4 (2011), 503-512.
• Not every co-existential map is confluent, Houston J. Mathematics, vol. 36, no. (2010), 1233-1242.

Research interests:

• Computation Theory

Selected publications:

• Computer Science: An Overview (2004). 8th edition, Addison-Wesley, pp. 570.

Classes typically taught:

• Finite Mathematics
• Calculus
• Linear Algebra
• Abstract Algebra
• Foundations of Geometry

Research interests:

• Regular and inverse semigroups
• Embedding theorems for semigroups

Selected publications:

• College Mathematics for Business, Economics, Life Sciences, and Social Sciences, Twelfth Edition, (with Raymond A. Barnett and Michael R. Ziegler) Prentice-Hall, 2011.
• Embedding any countable semigroup in a 2-generated congruence-free semigroup, Semigroup Forum 41 (1990) 145-153.
• Embedding any countable semigroup without idempotents in a 2-generated simple semigroup without idempotents, Glasgow Math. J. 30 (1988), 121-128.
• Karl Byleen, and Francis Pastijn. Implications for Semigroups Embeddable in Orthocryptogroups, Rocky Mountain Journal of Mathematics 17 (1987), 463-478.

• Karl Byleen. Inverse Semigroups With Countable Universal Semilattices, Semigroups and Their Applications: Proceedings of the International Conference Held at the California State University, April 10-12, 1986 (edited by Simon M. Goberstein and Peter M. Higgins), D. Reidel (1987), pp. 37-42.

Classes typically taught:

• Operating Systems and Networks
• Advise Senior Design teams

Research interests:

• GasDay lab - Energy demand modeling and forecasting
• Scientific computation and mathematical modeling
• Guaranteed enclosures of the solutions of ordinary differential equations
• Industrial applications of mathematics and scientific computation
• Numerical optimization
• Automatic differentiation
• Software engineering

Selected publications:

• Gerry F. Killeen, Samson Kiware, Aklilu Seyoum, John E. Gimnig, George Corliss, and Jennifer Stevenson, Comparative Assessment of Diverse Strategies for Malaria Vector Population Control Based on Measured Rates at Which Mosquitoes Utilize Targeted Resource Subsets, Malaria Journal, 13(1), 2014.
• Ronald H. Brown, David Clark, George Corliss, Farrokh Nourzad, Thomas F. Quinn, and Catherine Twetten, Forecasting Natural Gas Demand: The Role of Physical and Economic Factors, Proceedings of the 32nd Annual International Symposium on Forecasting (2012).

• Joshua A. Enszer, Youdong Lin, Scott Ferson, George Corliss, Mark A. Stadtherr, Probability Bounds Analysis for Nonlinear Dynamic Process Models, AIChE Journal, 57(2), 2011, 404 - 422.
• Steven R. Vitullo, Ronald H. Brown, George F. Corliss, and Brian M. Marx, Mathematical Models for Natural Gas Forecasting, Canadian Applied Mathematics Quarterly, 17(4), 2009.
• John D. Pryce and George F. Corliss, Interval Arithmetic with Containment Sets, Computing, 78(3), 2006, 251-276.
• H. Martin Bücker, George Corliss, Paul Hovland, Uwe Naumann, Boyana Norris, Automatic Differentiation: Applications, Theory, and Implementations: Applications, Theory and Implementations, Springer, New York, 2006.

Classes typically taught: 

Foundation of Mathematics

Linear Algebra

Applied Combinatorics

Research interests:

Graph Theory

• Domination Graphs
• Competition Graphs

Ranks of (0,1)-matrices

Selected publications:

K. Factor, L.J. Langley, Kings and heirs: a characterization of the (2,2)-domination graphs of a tournament, Discrete Applied Math., 204 (2016) 142-149

K. Factor, S. Merz, and Y. Sano, The (1-2)-step competition number of a graph, Congressus Numerantium 215, (2013) 153-161.

K. Factor and L. Langley, A characterization of connected (1,2)-domination graphs of tournaments, AKCE Int. J. Graphs Comb., 8, No. 1 (2011),  51-62.

K. Factor and S. Merz, The (1,2)-Step competition graph of a tournament, Discrete Appl. Math. 159 (2011), 100–103.

K. Factor and L. Langley, Digraphs with isomorphic underlying and domination graphs: Pairs of Paths Australas. J. Combin. 48 (2010), 25-41.

K. Factor and L. Langley, Digraphs with isomorphic underlying and domination graphs: Pairs of paths in UG^c(D), JCMCC 72, 2010, 3–30.

Classes typically taught:

Computer Networks

Information Representation

Unix System Administration

Research interests:

Patterns of Protocols

Separation of Concerns

New Internet Architecture

General Topology

Selected publications:

Processing and Persistence, Conference on Software Engineering 2010, Education Track.

An Implementation of a Skeleton for Presentation, Conference on Software Software Engineering 2010, Education Track

Patterns of Protocols, Proceedings of the 2007 International Conference on Foundations of Computer Science, 67, pp. 114-120, 2007.

Object-Oriented Networking, with Unix and Java. Notes with drafts of chapters.

Unix Networking, (3 chapters), Hayden Unix Systems Library, 1989.

Classes typically taught:

Calculus

Mathematics for High School teachers

Abstract Algebra

Linear Algebra

Foundations of mathematics

Research interests:

Algebraic Theory of Semigroups

Currently particularly interested in restriction semigroups

Selected publications:

Jones, Peter R. Almost perfect restriction semigroups. Journal of Algebra 445 (2015): 193-220.

Jones, Peter R. Relatively congruence-free regular semigroups. Semigroup Forum 89. (2014): 383-393.

Jones, Peter R. Varieties of P-restriction Semigroups. Communications in Algebra 42.4 (2013): 1811-1834.

Jones, Peter R. The Semigroups B_2 and B_0 are Inherently Nonfinitely Based, as Restriction Semigroups. International Journal of Algebra and Computation 23.6 (2013): 1289-1335.

Jones, P. R., On lattices of varieties of restriction semigroups, Semigroup Forum (2012).

Jones, Peter R. A Common Framework for Restriction Semigroups and Regular *-Semigroups.  Journal of Pure and Applied Algebra 216 (2012): 618-632.

Classes typically taught: 

Calculus

Research interests:

Biomathematical Modelling

Pulmonary Hemodynamics

Microangiographic Measurements

Vascular Biology

Endothelial Cell/Drug Interactions

Selected publications:

Robert D. Bongard, Gary S. Krenz, Adam J. Gastonguay, Carol L. Williams, Brian J. Lindemer, Marilyn P. Merker, Characterization of the Threshold for NAD(P)H:quinone oxidoreductase Activity in Intact Sulforaphane-treated Pulmonary Arterial Endothelial Cells, Free Radical Biology and Medicine, Volume 50, Issue 8, 15 April 2011, Pages 953-962.

Rahul Shingrani, Gary Krenz, Robert C. Molthen. Automation Process for Morphometric Analysis of Volumetric CT Data from Pulmonary Vasculature in Rats, Computer Methods and Programs in Biomedicine, 97(1): 62-77, 2010.

Robert Molthen, QingPing Wu, Shelly Baumgart, Laura Kohlhepp, Rahul Shingrani and Gary Krenz. Arterial Morphology Responds Differently to Captopril than N-acetycysteine in a Monocrotaline Rat Model of Pulmonary Hypertension,  Proceedings of the International Society for Optical Engineering (SPIE), vol. 7626, March 2010.

Hans Volkmer, Anne V. Clough, G.G. Hamedani, Albert William Manuel, S.J. and Gary Krenz. Complete Monotonicity of Flow and Cross-sectional Impulse Response Functions for Rigid Right Circular Tubes, Journal of Mathematical Analysis and Applications, 352:702-710, 2009.

Robert Molthen, QingPing Wu, Gary Krenz, Meetha Medhora, Elizabeth Jacobs and John E. Moulder.  Imaging Radiation Pneumonitis in a Rat Model of a Radiological Terrorism Incident, Proceedings of the International Society for Optical Engineering(SPIE), vol 7262, February 2009.

Classes typically taught:

Foundation of Mathematics

Calculus 3

Linear Algebra and Matrix Theory

Research interests:

Algebra : groups, semigroups, lattices, universal algebra, semirings.

Selected publications:

J. Albert and F. Pastijn. Free split bands, Semigroup Forum, (2014), 1-10.

L. Oliveira and F. Pastijn. Rees matrix covers and the translational hull of a locally inverse semigroup, Communications in Algebra, 36 (2008), 3230-3249.

L. Oliveira and F. Pastijn. Ideal extensions of locally inverse semigroups, Studia Sci. Math. Hungary, 45 (2008), 395-409.

L. Oliveira and F. Pastijn. Dense ideal extensions of strict regular semigroups, Algebra and Discrete Mathematics 4 (2006), 67-80.

F. Pastijn and L. Oliveira. Maximal dense ideal extensions of locally inverse semigroups, Semigroup Form 72 (2006), 441-458.

F. Pastijn. Weak commutativity in idempotent semirings, Semigroup 72, (2006), 283-311.

Classes typically taught: 

Applied Mathematical Analysis

Applied Linear Algebra

Research interests:

Mathematical models in immunology utilizing a variety of methods including differential equations and stochastic techniques

The role of randomness in dynamical systems

Creativity and dreaming

Selected publications:

 S.J. Merrill and B. Pandiyan, Untangling thyroid autoimmunity through modeling and simulation, Frontiers in Bioscience (Landmark Ed) 23:1889-1901 (2018) 

B. Pandiyan, S.J. Merrill, F. Di Bari, A. Antonelli, S. Benvenga, A patient-specific treatment model for Graves' hyperthyroidism, Theoretical Biology & Medical Modeling 15(1) (2018)

 S.J. Merrill and S.B. Minucci, Thyroid autoimmunity: an interplay of factors, Vitamins and Hormones, 106:129-146 (2018)

D.E. Godar and S.J. Merrill, Untangling the most probable role for vitamin D₃ in autism, Dermato-Endocrinology 9(1): e1387702 (2017) 

J. Sharma, B. Wisniewski, E. Paulson, J. Obaoye, S.J. Merrill, and A.L. Manogaran, De novo [PSI⁺] prion formation involves multiple pathways to form infectious oligomers, Scientific Reports 7(76) (2017)

Y. Mu, D.E. Godar, S.J. Merrill, A perspective on the challenges and issues in developing biomarkers for human allergic risk assessments, Biomarkers in Medicine (2017)

L.C. Savery, R. Viñas, A. Nagy, P. Pradeep, S. J. Merrill, A.M. Hood, S.G. Malghan, P.L. Goering, R.P. Brown, Deriving a provisional tolerable intake for intravenous exposure to silver nanoparticles released from medical devices, Regulatory Toxicology and Pharmacology (2017)

Classes typically taught: 

Mathematics for Elementary Teachers

Calculus

Research interests:

Development of Algebraic Thinking; Curriculum Effectiveness

Pre-Service Teacher Education

NSF-funded research project: A Longitudinal Investigation of the Effects of Curriculum on Algebraic Learning (LieCal), 2004-2015

Selected publications:

Cai, J., Nie, B., Moyer, J. C., & Wang, N., Teaching Mathematics using Standards-based and Traditional Curricula: A Case of Variable Ideas. In Y. Li & G. Lappan (Eds.), Mathematics Curriculum in School Education (pp. 391-415). New York, NY: Springer, 2014.

Cai, J., Moyer, J. C., & Wang, N., Longitudinal Investigation of the Effect of Middle School Curriculum on Learning in High School. In A. M. Lindmeier & A. Heinze (Eds.), Proceedings of the 37^th Conference of the International Group for the Psychology in Mathematics Education (pp. 137-144). Kiel, Germany: PME, 2013.

Nie, B., Freedman, T., Hwang, S., Wang, N., Moyer, J. C., & Cai, J., An Investigation of Teachers’ Intentions and Reflections about using Standards-based and Traditional Textbooks in the Classroom. Zentralblatt für Didaktik der Mathematik (ZDM—International Journal on Mathematics Education), 45(5), 699-711, 2013.

Magiera, M., van den Kieboom, L., & Moyer, J. C., An Exploratory Study of Pre-service Middle School Teachers' Knowledge of Algebraic Thinking. Educational Studies in Mathematics, 84(1), 94-113, 2013.

van den Kieboom, L., Magiera, M., & Moyer, J. C. Exploring the relationship between K-8 prospective teachers’ algebraic thinking proficiency and the questions they pose during diagnostic algebraic thinking interviews.  Journal of Mathematics Teacher Education: Volume 17, Issue 5, 429-461, 2014.

Cai, J., Moyer, J. C., Wang, N., Hwang, S., Nie, B., & Garber, T., Mathematical Problem Posing as a Measure of Curricular Effect on Students' Learning. Educational Studies in Mathematics, 83(1), 57-69, 2012.

Classes typically taught: 

Calculus

Abstract Algebra

Programming Computer Games

Programming languages

Research interests:

Algebra; Group Theory; Computational Algebra.

Selected publications:

Hamedani, Gholamhossein G. and Michael C. Slattery. "Remarks on a paper of Lee and Lim." Journal of the Chungcheong Mathematical Society (JCMS) 27.3 (2014): 475-477.

Slattery, Michael C. Groups, Computation and Geometry, "Character degrees of some p-groups of maximal class," Colorado State University, Pingree Park. (June 2014)

Slattery, Michael C., Ohio State-Denison Group Theory Conference, Moufang Loops of Order 243, Columbus, Ohio. (May 2012).

Slattery, Michael C. "Character Degrees of Normally Monomial Maximal Class 5-groups." Contemporary Mathematics 524. (2010): 153-159.

Slattery, Michael C. "Generation of Groups of Square-free Order." Journal of Symbolic Computation 42.6 (2007): 668-677

Havas, G., C. Leedham-Green, E. O'Brien, and Michael C. Slattery. "Certain Roman and flock generalized quadrangles have nonisomorphic elation groups." Advances in Geometry 6. (2006): 389-395.