ÏòÈÕ¿ûÊÓƵ

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, , Malaria Journal, 13(1), 2014.
• Ronald H. Brown, David Clark, George Corliss, Farrokh Nourzad, Thomas F. Quinn, and Catherine Twetten,, Proceedings of the 32nd Annual International Symposium on Forecasting (2012).
• Joshua A. Enszer, Youdong Lin, Scott Ferson, George Corliss, Mark A. Stadtherr, , 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, , 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, , 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, , 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:

• Introduction to Probability Theory and Statistics
• Elementary Statistics
• Statistical Methods
• Multivariate Analysis
• Probability Theory
• Regression Analysis

Research interests:

• Probability
• Statistics, Analysis

Selected publications:

• Hamedani, G.G. and Arnold, B.C., Commun. In Statist.: Theo-Meth., Vol. 46 (2017), 11949-11071.
• Hamedani, G.G., Merovci, F., Alizadeh, M. and Yousof, H.M., Commun. in Statist.: Theo-Meth., Vol. 46, (2017), 10800-10822.
• Hamedani, G.G., Yousof, H.M., Alizadeh, M., Jahanshahi, M.A., Ramires, T.G. and Ghosh, I., The transmuted Topp-Leone G family of distributions: Theory, Characterizations and Applications, JDS, Vol. 15 (2017), 723-740.
• Hamedani, G.G., Afify, A.Z., Altun, E., Alizadeh, M. and Ozel, G., The odd exponentiated half-logistic-G family: Properties, characterizations and applications, Chilean J. of Statistics, Vol. 8 (2017), 65-91.
• Hamedani, G.G., Alizadeh, M., Ozel, G., Altun, E. and Abdi, M., , JSTA, Vol. 16 (2017), 382-400.
• Hamedani, G.G., Yousof, H.M., Afify, A.Z. and Aryal, G., JSTA, Vol. 16 (2017), 288-305.
• Hamedani, G.G., Alizadeh, M., Ghosh, I., Yousof, H.M. and Rasekhi, M., The generalized odd generalized exponential family of distributions: properties, Characterizations and Application, J. of Data Science (JDS), Vol. 15 (2017), 443-466.
• Hamedani, G.G., Alizadeh, M. and Merovci, F., Generalized transmuted family of distributions: properties and applications, Hacettepe J. Math. And Stat. (HJMS), Vol. 46 (2017), 645-667.

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. Journal of Algebra 445 (2015): 193-220.
• Jones, Peter R. . Semigroup Forum 89. (2014): 383-393.
• Jones, Peter R. . Communications in Algebra 42.4 (2013): 1811-1834.
• Jones, Peter R. International Journal of Algebra and Computation 23.6 (2013): 1289-1335.
• Jones, P. R., , Semigroup Forum (2012).
• Jones, Peter R. .  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, , Free Radical Biology and Medicine, Volume 50, Issue 8, 15 April 2011, Pages 953-962.
• Rahul Shingrani, Gary Krenz, Robert C. Molthen. , Computer Methods and Programs in Biomedicine, 97(1): 62-77, 2010.
• Robert Molthen, QingPing Wu, Shelly Baumgart, Laura Kohlhepp, Rahul Shingrani and Gary Krenz. ,  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. , 352:702-710, 2009.
• Robert Molthen, QingPing Wu, Gary Krenz, Meetha Medhora, Elizabeth Jacobs and John E. Moulder.  , 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. , Semigroup Forum, (2014), 1-10.
• L. Oliveira and F. Pastijn. , Communications in Algebra, 36 (2008), 3230-3249.
• L. Oliveira and F. Pastijn. , 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. , Semigroup Form 72 (2006), 441-458.
• F. Pastijn. , 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,, Frontiers in Bioscience (Landmark Ed) 23:1889-1901 (2018) 
• B. Pandiyan, S.J. Merrill, F. Di Bari, A. Antonelli, S. Benvenga, , Theoretical Biology & Medical Modeling 15(1) (2018)
•  S.J. Merrill and S.B. Minucci,, Vitamins and Hormones, 106:129-146 (2018)
• D.E. Godar and S.J. Merrill,  in autism, Dermato-Endocrinology 9(1): e1387702 (2017) 
• J. Sharma, B. Wisniewski, E. Paulson, J. Obaoye, S.J. Merrill, and A.L. Manogaran, , Scientific Reports 7(76) (2017)
• Y. Mu, D.E. Godar, S.J. Merrill, , 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, , 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., . 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 . 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., . Educational Studies in Mathematics, 84(1), 94-113, 2013.
• van den Kieboom, L., Magiera, M., & Moyer, J. C. .  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., . 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. "." 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. "." Journal of Symbolic Computation 42.6 (2007): 668-677
• Havas, G., C. Leedham-Green, E. O'Brien, and Michael C. Slattery. "." Advances in Geometry 6. (2006): 389-395.