Curtis D. Bennett EDUCATION PROFESSIONAL EXPERIENCE
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1 Curtis D. Bennett Business Address 1 LMU Drive Department of Mathematics Loyola Marymount University Los Angeles, CA (310) Permanent Address Overland Ave 18E Culver City, CA (310) EDUCATION Ph. D., Mathematics The University of Chicago, Chicago IL August, 1990 Masters of Science, Mathematics The University of Chicago, Chicago, IL June 1986 Bachelor of Science, Mathematics Colorado State University, Fort Collins, CO May 1985 PROFESSIONAL EXPERIENCE Loyola Marymount University, Los Angeles, CA August 2002 present Professor of Mathematics present. Associate Dean for Faculty Development, Seaver College of Science and Engineering Chair, Department of Mathematics Associate Professor Center for Communication Research - La Jolla 2006 present Consultant Bowling Green State University, Bowling Green, OH Department of Mathematics Associate Professor Assistant Professor
2 Michigan State University, East Lansing, MI Department of Mathematics , Visiting Associate Professor Research Instructor Ohio State University, Columbus, OH Department of Mathematics National Science Foundation Postdoctoral Fellow AWARDS Mathematics Association of America Carl B. Allendoerfer Award for Expository Excellence 2011 Fritz B. Burns Distinguished Teaching Award, Loyola Marymount University, 2010 Deborah and Franklin Tepper Haimo Award for Distinguished College or University Teaching, Mathematical Association of America Southern California-Nevada Section of the MAA Award for Distinguished College or University Teaching Mortar Board National Honor Society Excellence in Teaching Award, Bowling Green State University, GRANTS & FELLOWSHIPS Department of Education McNair Scholar s Program, Grant, (co-pi and lead writer), $1.1 million. W.M. Keck Foundation Postdoctoral Training and Interdisciplinary Course Development Program, $250,000, National Security Agency Research Grant, From Phan s and Curtis-Tits Theorems to Moufang Buildings, (co-pi) $60,000. CASTL Fellowship, (Carnegie Academy for the Scholarship of Teaching and Learning), , $9,000. National Security Agency Research Grant, Curtis-Tits Phan Theorems and Generalizations, $64,000 (co-pi). CASTL Fellowship, (Carnegie Academy for the Scholarship of Teaching and Learning), , $9,000. National Science Foundation Postdoctoral Research Fellowship, National Science Foundation Graduate Fellowship, Century Fellow, University of Chicago,
3 STUDENT THESES DIRECTED Ph.D. Thesis: 1. Lakshmi Evani, Results on the BeSo order, Bowling Green State University, Masters Theses: 1. Claudia Catalan, Loyola Marymount University, Completed Thomas Hinrichs, Bowling Green State University, Honors Theses: 1. Alyssa Bowden, Loyola Marymount University, Kristen Bretney, Loyola Marymount University, Christine Dzida, Loyola Marymount University, Kristina Csaszar, Bowling Green State University, Scott Gaddis, Bowling Green State University, Kimberly Nettling, Bowling Green State University, Brian Swab, Bowling Green State University, SELECTED PUBLICATIONS 1. C. Bennett & R. Miranda, Automorphisms of Hyperelliptic Surfaces, Rocky Mountain Journal of Mathematics, 20(1), 1990, C. Bennett, Imaginary Roots of a Kac-Moody Lie Algebra Whose Reflections Preserve Root Multiplicities, Journal of Algebra, 158 (1), 1993, C. Bennett, Signed Dynkin Diagrams and Related Groups, Group Theory, Proceedings of the Biennial Ohio State Denison Conference, May, 1992, Edited by S. Sehgal and R. Solomon, World Scientific, New Jersey, 1993, pp C. Bennett, Affine Λ Buildings I, Proceedings London Mathematical Society, 68 (3), 1994, pp C. Bennett, K. Dempsey, & B. Sagan, Partition Lattice q-analogs Associated with q-stirling Numbers, Journal of Algebraic Combinatorics, 3 (3), 1994, C. Bennett & B. Sagan, A Generalization of Semimodular Supersolvable Lattices, Journal Combinatorial Theory, 72, 1995, C. Bennett, Explicit Free Subgroups of Aut(R, ), Proceedings of the American Mathematical Society, 125 (1997), no. 5, C. Bennett, Twin Trees and λ Λ -gons, Transactions of the American Mathematical Society, 349, (1997), no. 5,
4 9. C. Bennett, J. Blass, A.M.W. Glass, D. Meronk & R. Steiner, Linear Forms in the Logarithms of Three Algebraic Numbers, Journal Théorie des Nombres Bordeaux, 9 (1997), no. 1, M. Abramson & C. Bennett, Enumerating A 3 (2) Blueprints and an Application, Journal of Experimental Mathematics, 7 (4), M. Abramson & C. Bennett, Embeddings of Twin Trees, Geometriae Dedicata, 75, , C. Bennett, Exponentiation of Infinite Dimensional Z-Graded Lie Algebras, 19 pp., Communications in Algebra, 28 (9), 2000, pp C. Bennett, L. Elderbrock, & A.M.W. Glass, Zero-Estimates for Polynomials in 3 and 4 Variables using Orbits and Stabilizers, in Hilbert s Tenth Problem: Relations with Arithmetic and Algebraic Geometry, AMS, C. Bennett, A Paradoxical Decomposition of Escher s Angels and Devils (Circle Limit IV), Mathematics Intelligencer, Volume 22 (3), 2000, C. Bennett, Topspin on the Symmetric Group, Math Horizons, C. Bennett & S. Shpectorov, A remark on a theorem of Tits, Proceedings of the American Math Society, 129, no.9, (2001) (electronic). 17. C. Bennett, A Topological Characterization of End Sets of a Twinning of a Tree, European Journal of Combinatorics, 22 (1), pp , C. Bennett, R. Gramlich, C. Hoffman, & S. Shpectorov, Phan-Curtis-Tits type theorems, Groups, combinatorics & geometry ( Durham, 2001), 13-29, World Scientific Publishing, River Edge, NJ, (joint with R. Gramlich, C. Hoffman, and S. Shpectorov). 19. C. Bennett, My Course Portfolio: A window on student learning and an entrance to further study, Proceedings of Conference on Disciplinary Styles in the Scholarship of Teaching and Learning, Rockhurst, KS, April 2002 (CD). 20. C. Bennett, Advanced Mathematics for Secondary Teachers: Course Portfolio, Gallery of Teaching and Learning, Carnegie Foundation Knowledge Media Laboratory, (2003) accessed C. Bennett & E. Yakura, Finding Common Ground: Collaboration Across the Disciplines in the Scholarship of Teaching, Journal on Excellence in College Teaching, 14 (2003), 3-4, , c C. Bennett & C. Zirbel, A class of velocity fields with known Lagrangian law, Journal of Statistical Physics, J. Statistical Physics, 111, no.3-4, (2003) C. Bennett, L. Evani, & D. Grabiner, A simple definition for the universal Grassmannian order, Journal of Combinatorial Theory, Series A, 102 (2003) C. Bennett & R. Blok, Partial orders generalizing the weak order on Coxeter groups, Journal of Combinatorial Theory, Series A, 102 (2003) C. Bennett, A.M.W. Glass, G. Székely, Fermat s Last Theorem for Rational Exponents, American Mathematical Monthly, 111, (2004) C. Bennett & S. Shpectorov, A new proof of a theorem of Phan, Journal of Group Theory, 7, (2004), no.3, C. Bennett & J. Dewar, What you ought to know about collaboration on a SoTL project, National Teaching and Learning Forum, v.14, no. 1, 4-6 (2004).
5 28. A. Benjamin, C. Bennett, & F. Newberger, Recounting the Odds of an Even Derangement, Mathematics Magazine, 78, no. 5, (2005) C. Bennett, Fibonacci Decimals, Math Horizons, February 2005, C. Bennett, M. DeYoung, J. Rutledge, & E. Young, Con-Fusing Pairs: An Intriguing Investigation of LCMs, Mathematics Teacher, Vol. 100 (2), , (2006). 31. C. Bennett, M. DeYoung, J. Rutledge, & E. Young, Dialogue: A Route to ACT-ive Learing, Math for the Middle Schools, Vol. 12 (1), 37 39, (2006). 32. C. Bennett & J. Dewar, Developing and Applying a Taxonomy for Mathematical Knowledge- Expertise, Electronic Proceedings of the Conference on Research in Undergraduate Mathematics Education, A. Benjamin & C. Bennett, The probability of relatively prime polynomials, Mathematics Magazine, 80 (2007), no. 3, C. Bennett, R. Gramlich, C. Hoffman, & S. Shpectorov, Odd-dimensional orthogonal groups as amalgams of unitary groups, I, General simple connectedness. Journal of Algebra 312 (2007), no. 1, C. Bennett & E. Mosteig, On the collection of integers that index the fixed points of maps on the space of rational functions, in Tapas in Experimental Mathematics, Contemporary Mathematics, 457, (2008) pp C. Bennett, B. Mellor, & P. Shanahan, Drawing a triangle on the Thurston model of hyperbolic space, Mathematics Magazine, 83, no. 2, pp , (2010) Winner of the MAA Allendoerfer Award. 37. C. Bennett & J. Dewar, Situating SoTL Within the Disciplines: Mathematics in the United States as a Case Study, International Journal for the Scholarship of Teaching and Learning, Volume 4, No. 1, January, C. Bennett & J. Dewar, An Overview of the Scholarship of Teaching and Learning in Mathematics, PRIMUS: Problems, Resources, and Issues in Mathematics Undergraduate Studies, C. Bennett & J. Dewar, SOTL and Interdisciplinary Encounters in the Study of Students Understanding of Mathematical Proof, in The Scholarship of Teaching and Learning In And Across the Disciplines, ed. K. McKinney, Indiana University Press, 54 73, C. Bennett & E. Mosteig, Congruence classes of 2-adic valuations of Stirling numbers of the second kind, Journal of Integer Sequences, 16, no. 3, (2013), Article C. Bennett, W.C. Holland, & G. Székely, Integer Value Means, Aequationes Mathematicae, 88, 1 2, pp , (2014). 42. C. Bennett, & P. Schwer (appendix by K. Struyve), On axiomatic definitions of non-discrete affine buildings, Advances in Geometry, 14, no. 3, pp , (2014). EDITED VOLUMES C. Bennett & A. Crannell, editors, Starting Our Careers A Collection of Essays and Advice on Professional Development from the Young Mathematicians Network, editor, American Mathematical Society, (Including 6 articles authored or coauthored by C. Bennett).
6 J. Dewar & C. Bennett, editors, Doing the Scholarship of Teaching and Learning in Mathematics, Mathematical Association of America, (Including 4 chapters co-authored by C. Bennett). SELECTED PRESENTATIONS 1. Workshop on the Scholarship of Teaching and Learning, Turning Teaching Problems into Research Problems, Colorado School of Mines, June 20, 2015 (5 hours), Golden, CO. 2. The Scholarship of Teaching and Learning in STEM: An Introduction, Colorado School of Mines, March 31, 2015, Golden, CO. 3. A Beginners Guide to the Scholarship of Teaching and Learning, MAA Minicourse, January 2015, 4. Co-Organizer and Presenter: MAA Minicourse: A Beginner s guide to the Scholarship of Teaching and Learning, MAA Mathfest, August, 2014, San Diego, CA. 5. Drawing a triangle on the Thurston Model of Hyperbolic Space, UC Irvine, April, What is the Scholarship of Teaching and Learning: Working Examples, CMC 3 south conference, Anaheim, CA, October Lessons Learned in the Teaching and Learning of Mathematics, 2010 Joint Mathematics Meeting, San Francisco, Understanding the Thurston Model of Hyperbolic Space, MAA Southern California-Nevada Section Fall Meeting, Understanding the Thurston Model of Hyperbolic Space, California State University - Channel Islands, November, Averaging, Discrete Means, Coalition Building, and a Paradox of Social Choice, California Polytechnic University - San Luis Obispo, September, Understanding the Thurston Model of Hyperbolic Space, Fall meeting of the Ohio Section of the MAA (dinner talk), October Averaging, Discrete Means, Coalition Building, and a Paradox of Social Choice, Fall meeting of the Ohio Section of the MAA (main address), October Transfer and the Role of Community, Carnegie Colloquium for the Scholarship of Teaching and Learning, Madison, WI, April, Interaction of Affective and Cognitive Knowledge Domains in a first year workshop course, Conference on Affective Cognitive Knowledge and the Scholarship of Teaching and Learning, Oxford College (of Emory University) March, Assessing Disciplinary Understanding, International Society for the Scholarship of Teaching and Learning annual meeting, Vancouver, October, A Paradoxical Coloring of Escher s Angels and Devils, California State University - Long Beach, Mathematics Colloquium, November The Role of Fifteen Minute Problems, AMS-MAA Joint Mathematics Meetings, Atlanta, January SoTL Collaboration, A Case Study, (co-presented with J. Dewar) Inaugural Confernce of the International Society for the Scholarship of Teaching and Learning, Bloomington IN, October 2004.
7 19. Rich Representations of Student Learning, (co-presented with J. Dewar) Inaugural Conference of the International Society for the Scholarship of Teaching and Learning, Bloomington IN, October What types of questions promote deep learning and how might we find out? Carnegie Colloquium on the Scholarship of Teaching and Learning, San Diego, April 2004, (panelist and organizer). 21. Taking on a Writing Intensive Course, AMS-MAA Joint Mathematics Meetings, Phoenix, January T -Orders on the Coxeter Groups, Center for Communication Research, San Diego, March The Story of Neal, University of Illinois conference on the Scholarship of Teaching and Learning, January A Paradoxical Coloring of Escher s Angels and Devils, Claremont Colleges Mathematics Colloquium, November Phan type theorems, Buildings in Geometric Group Theory, Würzburg, Germany, May /19th of a generating function, MAA - Ohio Section meeting, April, A simple definition of the universal Grassmannian order, AMS-MAA Joint Mathematics Meetings, January A new proof of Phan s theorem, AMS Central Section Meeting, September Exponentiation of Infinite Dimensional Lie Algebras Kansas State University, Algebra Seminar, March MEMBERSHIPS American Mathematical Society Mathematics Association of America National Council for the Teachers of Mathematics SELECTED PROFESSIONAL SERVICE MAA Minicourse on the Scholarship of Teaching and Learning in Mathematics (co-presenter), 2006, 2007, 2008, Made 4 hour presentations introducing interested mathematicians to the Scholarship of Teaching and Learning and how to conduct an investigation. External Reviewer of Mathematics Department, St. Edwards University, External Reviewer of Mathematics Department, Roosevelt University, External Reviewer of Mathematics Department, Occidental College, MAA Southern California and Nevada Section, Secretary-Treasurer, AMS-MAA Committee on Disabilities, , Chair, NSF Instructional Materials Grant Reviewer,
8 NSA grant reviewer, 2001, AMS Committee on Committees, Mathematics Advisory Panel, for Mathematics Teacher, MAA Ohio chapter, Committee on Student Mathematics, member, , , Chair AMS Committee on the Profession (COPROF), AMS Subcommittee on Employment Issues (of COPROF), AMS Subcommittee on Graduate Education (of Com. on Educ.), SELECTED LMU SERVICE Committee on Rank and Tenure, 2015-present. Associate Deans Council, 2011-present, chair, Spring Part Time Teacher Evaluation Working Group, Technology Enhanced Learning Implementation Group, co-chair, Graduate Budget Committee, Graduate Shared Services Committee, Graduate Task Force, Subcommittee on Technology, Provost Planning Council, University Research Committee, Seaver College Equipment and Technology Committee, Co-Chair, Seaver College Faculty Development Committee, Co-Chair, Seaver College Graduate Directors Committee, Office of Faculty Affairs Advisory Board, Disability Support Services, Faculty Senate, Seaver College representative, Member, Chairs Task Force, MASTeP Committee member (and cochair) Assessment Committee for Mathematics Department, Undergraduate Advisor, University Committee on K-12 Education, Graduate Advisor (MAT - mathematics), Mathematics Dept. liaison to School of Education, Pi Mu Epsilon advisor,
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