Christopher Park Mooney

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1 Aid#129513/Curriculum Vitae/ / Christopher Park Mooney Westminster College United States Citizen Department of Mathematics Born in Lexington, KY Coulter Science Center 315 Voice: (859) Fulton, MO USA website: Education/Certifications Ph.D., Mathematics, The University of Iowa, Iowa City, Iowa, USA, August, Thesis Title: Generalized Factorization in Commutative Rings with Zero-Divisors Thesis Advisor: Dr. Daniel D. Anderson Project NExT Fellow, Mathematical Associate of America, Fellow. Graduate Certificate in College Teaching, The Office of Graduate Teaching Excellence, The University of Iowa, Iowa City, Iowa, USA, Fall M.S., Mathematics, The University of Iowa, Iowa City, Iowa, USA, December B.A., Mathematics, Transylvania University, Lexington, Kentucky, USA, May Minors: Physics, Sociology and History Summa Cum Laude Departmental and University Honors Research Interests Commutative Algebra, Factorization, Commutative Rings with Zero-Divisors, Multiplicative Ideal Theory, Zero and Irreducible Divisor Graphs, Graph Labeling Employment History Westminster College - Fulton, Missouri Assistant Professor of Mathematics ( present) Visiting Assistant Professor of Mathematics ( ) Viterbo University - La Crosse, Wisconsin Assistant Professor of Mathematics ( ) The University of Iowa - Iowa City, Iowa Presidential Graduate Research Fellow ( ) Transylvania University - Lexington, Kentucky William T. Young Scholar ( ) Mathematics and Physics Tutor ( ) Teaching Experience Courses Taught Westminster College Elementary Statistics (Primary instructor, 8 times) 1

2 Calculus 2 (Primary instructor, 7 times) Modern Algebra (Primary instructor, 3 times) Mathematical Probability and Statistics (Primary instructor, 2 times) Differential Equations (Primary instructor, 1 time) Linear Algebra (Primary instructor, 1 time) Viterbo University College Algebra (Primary instructor, 2 times) Introductory Statistics (Primary instructor, 3 times) Intermediate Algebra (Primary instructor, 1 time) Differential Equations (Primary instructor, 1 time) Linear Algebra (Primary instructor, 1 time) The University of Iowa Elementary Functions (Primary instructor, 2 times) Calculus for Business (Teaching assistant, discussions session instructor, 1 time) Calculus I (Teaching assistant, discussions session instructor, 1 time) Additional Teaching Experiences Summer 2015 Summer Research Grant, Westminster College Mentoring a student conducting undergraduate research in generalized factorization theory. This resulted in two articles in the publication process as well as two talks at math conferences with peer reviewed abstract submission processes , Project NExT Fellow New Experiences in Teaching is a program sponsored by the Mathematical Association of America to aid in the professional development of mathematicians, statisticians, and mathematics educators after they receive their PhDs. It involves workshops and lectures on teaching, academic research, academic scholarship, and professional activities. Fall 2011-Fall 2012, Graduate Certificate in College Teaching This is a 12 semester hour program consisting of coursework, practica and creating an eportfolio. The program aims to prepare graduate students for becoming more effective teachers in careers in post-secondary education. Summer 2014, Summer Research Fellowship Program, Viterbo University Mentoring a student conducting undergraduate research in commutative algebra for an 8 week intensive research program. This resulted in one article which was published in Involve. Summer 2011, REU Mentor, The University of Iowa Department of Mathematics Mentored undergraduate students throughout an intensive four-week research experience in generalized factorization theory. Fall 2009-Spring 2011 Math Lab Tutor, Mathematics Tutorial Lab, The University of Iowa Provided drop-in tutoring services to students enrolled in university mathematics courses ranging from basic algebra to multivariable calculus and linear algebra. Spring 2005-Spring 2008 Math and Physics Tutor Transylvania University Provided drop-in tutoring services to students enrolled in university mathematics and physics courses. Papers 1. U-Factorization of Ideals, with J. Juett, submitted (30 pages). 2

3 2. Factorization of Ideals, with D.D. Anderson and J. Juett, submitted (44 pages). 3. Generalized U-irreducible elements in strongly associate rings, with Y. Wang, submitted (15 pages). 4. Module Cancellation Properties, with D.D. Anderson and J. Juett, Journal of Algebra and its Applications, to appear (59 pages). 5. Generalized Irreducible Divisor Graphs in Rings with Zero-Divisors, International Electronic Journal of Algebra, 20, 2016, τ-u-factorizations and Their Graphs in Commutative Rings with Zero-Divisors, with M. Axtell, International Electronic Journal of Algebra, 18, 2015, Generalized Factorization in Z/mZ, witha.mahlum,involve,9: , On Irreducible Divisor Graphs in Commutative Rings with Zero-Divisors, Tamkang Journal of Mathematics, 46: , τ-regular Factorization in Commutative Rings with Zero-Divisors, Rocky Mountain Journal of Mathematics, 46: , τ-complete Factorization in Commutative Rings with Zero-Divisors, Houston J. Math. 42: , Generalized Irreducible Divisor Graphs, Comm. Algebra, 42: , Generalized-U-Factorization in Commutative Rings with Zero-Divisors, Rocky Mountain Journal of Mathematics, 45: , Generalized Factorization in Commutative Rings with Zero-Divisors, Houston J. Math. 41: , Generalized Factorization in Commutative Rings with Zero-Divisors, Ph.D. Thesis. The University of Iowa, (125 pages). 15. Determining Existence of Hadamard Difference Sets in Groups of Order 144, with N. Kroeger, M. Miller, and K. Shepard, Undergraduate Research Report, 2007, Central Michigan University. kws006/reu2007/kroegermillermooneyshepard.pdf Papers in Preparation 1. Generalized U-finite factorization properties in strongly associate rings, with Y. Wang, final revisions (19 pages). 2. On Edge Graceful Labeling Zero-Divisor Graphs, final revisions (22 pages). 3. Radio Labeling Zero-Divisor Graphs, with K.F. Benson and A. Niedzia lomski, in production. 4. Graceful and Harmonious Labeling Zero-Divisor Graphs, in production. 5. On Magic and Anti-magic Labeling Zero-Divisor Graphs, in production. 6. τ-u Irreducible Factorizations and Associated Graphs, with M. Axtell, in production. 7. Generalized Factorization in Commutative Rings without Identity, with R.M. Ortiz-Albino, in production. Formal Conference Presentations (with peer-reviewed abstracts) 1. On Labelings of Zero-Divisor Graphs. Invited Talk Special Session on Factorization and Multiplicative Ideal Theory - AMS Southeast Sectional Meeting, Charleston, South Carolina (March 2017). This indicates undergraduate research. 3

4 2. Module Cancellation Properties. Joint work (with D.D. Anderson and J.R. Juett) presented by Jason Juett at Special Session on Factorization and Multiplicative Ideal Theory - AMS Southeast Sectional Meeting, Charleston, South Carolina (March 2017). 3. τ-irreducible elements in strongly associate rings. Presented by Y. Wang at the Missouri Section of the MAA Spring Meeting, St. Joseph, Missouri (April 2016). 4. τ-complete Factorizations in Commutative Rings with Zero-Divisors. Invited Talk Special Session on Commutative Ring Theory - AMS Central Sectional Meeting, Eau Claire, Wisconsin (September 2014). 5. On Irreducible Divisor Graphs in Commutative Rings with Zero-Divisors. Invited Talk Special Session on Commutative Ring Theory - AMS Southeastern Sectional Meeting, Knoxville, Tennessee (March 2014). 6. A Connection Between Graph Theory and Commutative Rings. AMS Special Session on Trends in Graph Theory - Joint Mathematics Meeting, Baltimore, Maryland (January 2014). 7. τ-u-factorization in Commutative Rings. Invited Talk Special Session on Commutative Rings - AMS Central Sectional Meeting, Ames, Iowa (April 2013). 8. τ-factorization in Commutative Rings with Zero-Divisors. Joint Mathematics Meeting, San Diego, California (January 2013). 9. Generalized Factorization in Commutative Rings. Mathfest, Madison, Wisconsin (Summer 2012). 10. Hadamard Difference Sets in Groups of Order 144 and the Spread Construction. Joint Meetings, San Diego, California (January 2008). 11. Constructing Families of Hadamard Difference Sets in Groups of Order 144. Young Mathematicians Conference - The Ohio State University. (August 2007) 12. Hadamard Difference Sets in Groups of Order 144. Michigan Summer REU Conference, Grand Rapids, Michigan (Summer 2007). Selected Seminar/Colloquia/Symposium/Informal Talks 1. Mathematics and Machine Learning, Undergraduate Scholars Forum - Westminster College, presented by U. Malla and S. Singh. (Spring 2017) 2. Generalized U-irreducible elements in strongly associate rings, Undergraduate Scholars Forum - Westminster College, Joint work presented by Y. Wang. (Spring 2016) 3. Factorization in Rings with Zero-Divisors and Graphs. The University of Nebraska at Kearney (Spring 2014). 4. On non-unique Factorization and Graph Theory. Mathematics Colloquium, Florida Gulf Coast University, Ft. Myers, FL (Spring 2014). 5. Hamilton and the Quaternions - The Basis for Linear Algebra? (pun intended). History of Mathematics Guest Speaker, Viterbo University, La Crosse, WI (Fall 2013). 6. An Introduction to non-unique Factorization. Heartland Partnership Talk - Loras College, Dubuque, Iowa (Spring 2013). 7. When Factorizations Behave Badly. Mathematics Colloquium - Viterbo University, La Crosse, WI (Spring 2013). 8. τ-irreducible Divisor Graphs and Co-Maximal Graphs, part 2. Commutative Ring Theory Seminar, The University of Iowa, Iowa City, IA (Spring 2013). 9. An Introduction to non-unique Factorization. Mathematics Colloquium - Regis College, Denver, CO (Spring 2013). 4

5 10. τ-irreducible Divisor Graphs and Co-Maximal Graphs. Commutative Ring Theory Seminar, The University of Iowa, Iowa City, IA (Spring 2013). 11. Irreducible Divisor Graphs. Commutative Ring Theory Seminar, The University of Iowa, Iowa City, IA (Spring 2013). 12. Zero Divisor Graphs. Commutative Ring Theory Seminar, The University of Iowa, Iowa City, IA (Spring 2013). 13. When Factorizations Behave Badly. 22M:097 - Introduction to Mathematical Research (Undergraduate Mathematics Research Seminar), The University of Iowa, Iowa City, IA (Spring 2013). 14. τ z -Factorization and Zero Divisor Graphs. Commutative Ring Theory Seminar, The University of Iowa, Iowa City, IA (Fall 2012). 15. τ-factorization and τ-u-factorization in Commutative Rings. Commutative Ring Theory Seminar, The University of Iowa, Iowa City, IA (Fall 2012). 16. A Proof of Hilbert s Nullstellensatz. Algebraic Geometry, The University of Iowa, Iowa City, IA (Fall 2011). 17. Factorization in Commutative Rings. Algebra Seminar, The University of Iowa, Iowa City, IA (Fall 2010). Conferences Attended 1. Undergraduate Scholars Forum Westminster College, Fulton, Missouri - April AMS Southeast Spring Sectional Meeting, Charleston, South Carolina - March Undergraduate Scholars Forum Westminster College, Fulton, Missouri - April Missouri Section of the MAA Spring Meeting St. Joseph, Missouri - April Undergraduate Scholars Forum Westminster College, Fulton, Missouri - April The 2015 Kansas City Regional Mathematics Technology EXPO. Kansas City, Missouri Joint Mathematics Meeting. San Antonio, Texas - January, AMS Central Fall Sectional Meeting, Eau Claire, Wisconsin - September Mathfest Portland, Oregon - August AMS Southeastern Spring Sectional Meeting, Knoxville, Tennessee - March Joint Mathematics Meeting. Baltimore, Maryland - January, Seven Rivers Undergraduate Research Symposium, La Crosse, Wisconsin - November, AMS Central Fall Sectional Meeting, St. Louis, Missouri - October, Mathfest Hartford, Connecticut - August AMS Central Sectional Meeting, Ames, Iowa - April Joint Mathematics Meeting. San Diego, California - January, Heartland Mathematics Partnership Fall Meeting. Iowa City, Iowa - October, Midwestern Graph Theory Conference. Ames, Iowa - September, Mathfest. Madison, Wisconsin - August Midwest Undergraduate Mathematics Symposium. Simpson College. Indianola, Iowa - April, Mathfest. Lexington, Kentucky - August

6 22. AMS Central Section Meeting. The University of Iowa. Iowa City, Iowa - March Factorization Workshop 23. Mathfest. Madison, Wisconsin - August Joint Mathematics Meeting. San Diego, California - January, Young Mathematics Conference. The Ohio State University. Columbus, Ohio - August, Michigan Undergraduate Mathematics Conference. Grand Rapids, Michigan - July, Undergraduate Research Experiences Summer Research Mentor, Westminster College. Guiding research in generalized factorization theory in strongly associate rings using U-factorization techniques. Working with Ying Wang. Papers Generalized U-irreducible elements in strongly associate rings, with Y. Wang, final revisions. Generalized U-finite factorization properties in strongly associate rings, with Y. Wang, final revisions. Presentations Generalized U-irreducible elements in strongly associate rings, Missouri MAA Section Meeting - St. Joseph, MO. Joint work, presented by Y. Wang. Generalized U-irreducible elements in strongly associate rings, Undergraduate Scholars Forum - Westminster College, Joint work presented by Y. Wang. The mathematics of machine learning, Undergraduate Scholars Forum - Westminster College, presented by U. Malla and S. Singh. Summer Research Fellowship Faculty Mentor, Viterbo University. Guiding student mathematical research in generalized factorization theory in rings with zero-divisors. Led to a research article with A. Mahlum accepted for publication in Involve, a top undergraduate mathematics research journal. (Summer 2014) Research Presented at Seven Rivers Undergraduate Research Symposium, Viterbo University, La Crosse, WI. Volunteer for the VIGRE REU at The University of Iowa, Iowa City, Iowa. Graduate assistant in research group of Dr. Daniel D. Anderson studying rings and factorization. Assisted four undergraduate mathematicians with research, mathematical writing, and creating beamer presentations. (Summer 2011) Participant in the NSF-REU at Central Michigan University, Mount Pleasant, Michigan. Studied Hadamard difference sets in finite groups, in particular groups of order 144 under the direction of Dr. Ken Smith. (Summer 2007) Participant in the SMALL REU at Williams College, Williamstown, Massachusetts. Studied Bayesian statistics and time series analysis under the direction of Dr. Carsten Botts. (Summer 2006) Awards and Honors Recipient of the Buschman Award at Westminster College. This award comes with 1,000 dollars and is awarded to some faculty members each year to reward and promote distinguished teaching, service and/or research. Project NExT Fellow New Experiences in Teaching is a program sponsored by the Mathematical Association of America to aid in the professional development of mathematicians, statisticians, and mathematics educators after they receive their PhDs. It involves workshops and lectures on teaching, academic research, academic scholarship, and professional activities. 6

7 Recipient of the Presidential Graduate Research Fellowship at The University of Iowa. From a memo to the Departmental Executive Officers and Directors of Doctoral Programs: This is a five-year award designed to help programs recruit their very strongest doctoral applicants. It is valued at approximately 150,000 dollars over five years and includes three years of research fellowship and two years of service as a teaching assistant as well as summer stipends for 4 summers. Recipient of the American Mathematics Society s Travel Support Grant to attend the AMS Spring Central Sectional Meeting in Ames, Iowa in April of This is a 250 dollar award to help fund travel and subsistence expenses for the AMS Sectional Meetings. Recipient of the American Mathematics Society s Graduate Student Travel Grant for the Joint Mathematical Meetings in San Diego, California in January of This is a 500 dollar award to help fund travel expenses for graduate students to attend the JMM. Recipient of the Graduate Student Senate Travel Grant for the Joint Mathematical Meetings in San Diego, California in January of This is a 300 dollar award to help fund travel expenses for graduate students University wide to attend and present research at conferences. Recipient of the Executive Council of Graduate and Professional Students Travel Grant for the Joint Mathematical Meetings in San Diego, California in January of This is a 117 dollar award to help fund travel expenses for graduate students University wide to attend and present research at conferences. Recipient of the William T. Young Scholarship at Transylvania University. This is a four year full tuition scholarship given to approximately twenty students annually and is valued at approximately 120,000 dollars over four years. Recipient of the Thank A Teacher award. This award consists of a message from students given to exceptional professors or teaching assistants in order to let them know that their teaching is appreciated. It is coordinated by The University of Iowa Center for Teaching (Fall 2009). Member of the Holleian Society at Transylvania University (Inducted Spring 2008). The Holleian Society is Transylvania University s honorary society. Modeled after Phi Beta Kappa, the society was founded in 1960 to recognize excellence in liberal arts studies and for faculty members to investigate and pursue the granting of a Phi Beta Kappa chapter at Transylvania. Recipient of Ruchman Mathematics Award (Spring 2008). Awarded to the top student in mathematics each year at Transylvania University. Service to the mathematical community Referee for Rose-Hulman Undergraduate Math Journal (Fall 2017-present) Referee for Boletín de la Sociedad Matemática Mexicana. (Spring 2017-present) Referee for Rocky Mountain Journal of Mathematics. (Spring 2014-present) Referee for Communications in Algebra. (Spring 2013-present) Reviewer for Zentralblatt MATH. (Spring 2014-present) Reviewer for Math Reviews of the American Mathematical Society. (Fall 2015-present) Service Westminster College Westminster Faculty Personnel Committee. This is a major committee which meets weekly to evaluate faculty performance. his committee is the faculty committee on tenure, appointments, promotions in faculty rank, and faculty salaries. I served as a member of this committee. (Fall Present) 7

8 Westminster Scholarships and Recognitions Committee. Duties: Selects and advises strong candidates for externally funded scholarships for postgraduate study, e.g., the Rhodes, Marshall, and Truman Scholarships, and for major internally funded scholarships for undergraduate study in Westminster approved programs at other institutions of higher education, e.g., the Cranshaw and the Piper Scholarships. I served as a member of this committee. (Fall Present) Westminster Problem Solving Group. This was a group which would meet to think about challenging math problems to help practice for the Putnam and other similar mathematical problem solving competitions. (Fall Present) Westminster Math Club. I have served as the co-sponsor where we put on events like π-day celebrations, movie events, and bringing students to math conferences. (Fall Present) Westminster Tabletop Gaming Club. I have served as the faculty sponsor for this club which meets to play table top strategy and board games for about 3 hours each week. (Fall Present) Service to Viterbo University Co-PI for IUSE grant proposal. This is an NSF grant we are applying for to Improve Undergraduate STEM Education. We focus on implementing more active and inquiry based learning strategies to improve retention and participation in the science, technology, engineering and mathematics fields across the Division of Natural Sciences and Mathematics at Viterbo University. (Fall 2013) Faculty Team Chaplain for Viterbo University Women s Soccer. Serve as a faculty sponsor for the women s soccer team. Provide moral support and encouragement from the stands as well as support off the field. (Fall Spring 2014) Technology Planning Committee. Serve on the committee responsible for planning the technology budget at Viterbo University. (Fall Spring 2014) MAA Faculty Liaison for Viterbo University. Serve as Viterbo University s contact representative for the Mathematical Association of America. (Fall Spring 2014) Break-out Session Leader. Viterbo University s Annual Humanities Symposium. Serve as a codiscussion leader in a break-out session to talk about topics related to the panel discussions and plenary speaker. (Spring 2014) Mathematics Judge for Seven Rivers Undergraduate Research Symposium. This is an annual event held to provide a venue for undergraduate students to present research. Students attend from 14 different institutions and 3 states. Served as a judge to rate and provide feedback to students presenting mathematics research at the symposium. (Fall 2013) Service to The University of Iowa Sonya Kovalevsky Day at The University of Iowa. This is an annual event held to encourage women in high school to pursue a future in mathematics. Helped set up and design mathematical games as well as set up and serve lunch for the participants. (Spring 2013) Heartland Mathematics Partnership. Gave a Heartland Partnership talk to a group of students at Loras College in Dubuque, Iowa on accesible non-unique factorization topics. (Spring 2013) Heartland Mathematics Partnership. Went to visit UW-La Crosse in a support role to help answer questions about graduate school and math at Iowa (Fall 2012) Iowa Mathematical Modeling Challenge. Help with registration and judging of solutions to mathematical modeling problems posed to and solved by undergraduate students. (Fall 2012) Sonya Kovalevsky Day at The University of Iowa. This is an annual event held to encourage women in high school to pursue a future in mathematics. Helped set up and design mathematical games as well as set up and serve lunch for the participants. (Spring 2012) Vice Chair for the Math Graduate Board. (Spring Fall 2012) 8

9 Graduate Student Panel. Midwest Undergraduate Mathematics Symposium, Simpson College, Indianola, IA. (Spring 2012) Graduate Student Panel: Qualifying and Comprehensive Exams, Finding Advisors. Prospective Student Weekend, The University of Iowa, Iowa City, IA. (Spring 2012) Social Chair for the Math Graduate Board. Responsible for organizing the Fall and Spring picnics as well as other social events throughout the year. (Spring Fall 2011) High School Mathematics Tournament. Annual event for high school math students hosted at The University of Iowa. Helped proctor exams as well as distribute and collect materials for the various rounds during the competition. (Spring ) Professional Memberships American Mathematical Society Computer Skills Maple, Mathematica, L A TEX, Office, Minitab, Statcrunch Languages English: fluent Spanish: basic reading and speaking knowledge 9

University of Wisconsin Stevens Point Fourth Avenue Phone: Stevens Point, WI 54481

Matthew D. Welz Department of Mathematical Sciences Email: matthew.d.welz@gmail.com University of Wisconsin Stevens Point http://www4.uwsp.edu/math/mwelz/ 2001 Fourth Avenue Phone: 715.346.3968 Stevens