Corey R. Shanbrom Curriculum Vitae Education University of California, Santa Cruz, Santa Cruz, California Ph.D. in Mathematics, June 2013 Title: Two Problems in Sub-Riemannian Geometry Advisor: Richard Montgomery M.A. in Mathematics, June 2009 B.A. in Mathematics, June 2006 B.A. in Philosophy, June 2006 Hong Kong University, Pokfulam, Hong Kong Employment Semester Abroad, 2005 Assistant Professor Department of Mathematics and Statistics California State University, Sacramento Courses Taught: Calculus 1 and 2, Intro to Formal Mathematics, Functions of a Real Variable 1 and 2, Vector Analysis Fall 2013 Present Graduate Student Instructor Mathematics Department, UC Santa Cruz Courses Taught: Vector Calculus 1 and 2 Summers 2009 2012, Spring 2013 Head Teaching Assistant Mathematics Department, UC Santa Cruz, 2011 2013 Teaching Assistant Mathematics Department, UC Santa Cruz, 2007 2011 Writer for W.H. Freeman Contracted to revise and write problems and solutions for Vector Calculus, J. Marsden and A. Tromba, 6th Ed., and co-author accompanying Student Study Guide, 2010 2011 Substitute Teacher, Santa Cruz and Pajaro Valley School Districts, 2006 2007 Math Tutor, Academic Trainers Tutoring Center, Aptos, CA, 2005 2007 Paid Intern, California Math and Science Teacher Program (CMST), UC Santa Cruz, 2006 Math Tutor, Watsonville High School, UC Santa Cruz Educational Partnership Center, 2004 Research Assistant, Dept. of Infectious Diseases, UCI Medical Center, Summers 1999 2003 Research Interests Sub-Riemannian geometry Classical and celestial mechanics Singularity theory
Publications A coarse stratification of the Monster tower with Alex Castro, Susan Colley, and Gary Kennedy submitted, 2016 Stratification of the Monster/Semple tower under diffeomorphisms of three-space with Alex Castro and Wyatt Howard to appear in special issue on Infinite-dimensional Riemannian Geometry in the Journal of Geometric Mechanics Bridges between sub-riemannian geometry and algebraic geometry with Alex Castro and Wyatt Howard Proceedings of 10th AIMS Conference on Dynamical Systems, Differential Equations and Applications, Keplerian dynamics on the Heisenberg group and elsewhere with Richard Montgomery Geometry, Mechanics and Dynamics: the Legacy of Jerry Marsden, ed. D. Chang, D. Holm, G. Patrick, T. Raitu, Fields Institute Communications series, Springer, Periodic orbits in the Kepler-Heisenberg problem Journal of Geometric Mechanics, Vol. 6, No. 2, pp 261-278, 2014 The Puiseux characteristic of a Goursat germ Journal of Dynamical and Control Systems, Vol. 20, No. 1, pp 33-46, 2014 Two problems in sub-riemannian geometry Ph.D. Thesis, 2013 Student Study Guide with Solutions for Vector Calculus by J. Marsden and A. Tromba Co-authored with Paul Tokorcheck W.H. Freeman and Company, New York, 2012 ISBN-10:1-4292-3109-2, ISBN 13: 978-1-4292-3109-1 Published Abstracts Where does Kepler s third law hold?, JMM of AMS and MAA, January 2016 Peer Assisted Teaching and Learning in Calculus I, CSU STEM Collaboratives Summit, April Periodic orbits in the Heisenberg-Kepler problem, MathFest, August 2014 The Kepler problem on the Heisenberg group, JMM of AMS and MAA, January 2013 Grants and Fellowships Affordable Learning Solutions Grant, CSU Office of the Chancellor, awarded June 2016 Research and Creative Activity Faculty Award, CSU Sacramento, applied April 2016, not funded Open Textbook Faculty Grant, California Open Online Library for Education, awarded June Proven Course Redesign, CSU Office of the Chancellor, adopting faculty, awarded February
Awards Service Golden Section NExT Fellowship, Mathematical Association of America, awarded February SQuaREs (Structured Quartet Research Ensembles), American Institute of Mathematics, Compactifications and moduli of curvilinear data, applied November 2014, not funded RCA Mini-Grant, CSU Sacramento, awarded July 2014 Project NExT Fellowship, Mathematical Association of America, awarded June 2014 Simons Travel Grant, American Mathematical Society, awarded May 2014 Faculty Grant, CSU Sacramento, awarded March 2014 University of California, Santa Cruz, Santa Cruz, California Outstanding TA Award, Recipient, 2011-2012 (Nominee, 2009 2010 ) Nominee, President s Dissertation Sabbatical Fellowship, 2012 J.W.T. Young s Prize in Mathematics, 2006 Regent s Scholarship, 2002 2006 Mathematics Department Honors, 2006 Cowell College Honors, 2006 Departmental Service Committees, Department of Mathematics and Statistics, CSU Sacramento Appointment, Blended Program, Calculus, Core Curriculum, Visiting Scholar Fall Spring 2016 Blended Program, Calculus, Curriculum, Core Curriculum, Integration Bee, Social Fall 2014 Spring Appointment, Calculus, Core Curriculum, Integration Bee, Social Fall 2013 Spring 2014 Chair, Integration Bee Committee Department of Mathematics and Statistics, CSU Sacramento, Fall 2014 Spring Supervised graduate independent study on smooth manifolds, CSU Sacramento, Fall 2014 Graduate Colloquium Coordinator, Mathematics Department UC Santa Cruz, April 2012 June 2013 University Service Peer Assisted Learning (PAL) Mathematics Coordinator Instructor of Record for NSM 12B, 12E, 12F, 96; interviews, observations, and training of PAL facilitators, presentation to President s cabinet, accompanying students to conferences CSU Sacramento, Spring 2016 Present Student Housing Advisory Committee CSU Sacramento, Fall 2013 Present Faculty Advisor, Math Club CSU Sacramento, Fall 2013 Present Professional Learning Community One-year professional development seminar in New Millennial Learning Materials Center for Teaching and Learning, CSU Sacramento, Fall Spring 2016
Juror, Student Research Symposium (posters and presentations, graduate and undergraduate) CSU Sacramento, February 2016 Reviewer, Pedagogy Enhancement Award Program CSU Sacramento, January 2016 Faculty Learning Community Collaboration with fellow calculus instructors developing innovative teaching strategies Center for Teaching and Learning, CSU Sacramento, Fall 2014 Spring Faculty Learning Community Community study of use of warm-up problems in teaching calculus Center for Teaching and Learning, CSU Sacramento, Fall 2013 Spring 2014 Dean of Physical and Biological Sciences Search Committee UC Santa Cruz, Spring 2012 Community Service Sacramento Mathematics Project, Fall 2013 Present MAA Instructional Practices Guide focus group, Seattle, January 2016 Judge of undergraduate research posters, Joint Math Meetings, Seattle, January 2016 Monterey Bay Area Mathematics Project, summers 2012 2013, Organizer, Project NExT panel on teaching a proofs course MathFest, Washington, D.C., August Co-coordinator, Project NExT panels Joint Mathematics Meetings of AMS and MAA, San Antonio, January Coordinated six panel discussions on grant writing, undergraduate research, outreach, interdisciplinary teaching, active learning, and the scholarship of teaching and learning Judge of undergraduate research posters, Joint Math Meetings, San Antonio, January Judge of undergraduate research presentations, MathFest, Portland, 2014 Referee American Mathematical Monthly, Fall Journal of Geometric Mechanics, Spring and Summer Symmetry, Integrability, and Geometry: Methods and Applications (SIGMA), Fall 2014 New Directions for Mathematics Research Experiences for Undergraduates, Summer 2014 Presentations and Conferences Invited Talks A first attempt at sub-riemannian celestial mechanics, Sub-Riemaniann Geometry and Celestial Mechanics, CIMAT, Guanajuato, Mexico, August 2016 Where do Kepler s laws hold?, California Mathematics Council Community Colleges Recreational Math Conference, Lake Tahoe, April 2016 Periodic orbits in the Heisenberg-Kepler problem, Institut Henri Poincaré, Paris, December 2014 The Kepler problem on the Heisenberg group, AMS Special Session on Celestial Mechanics, Joint Mathematics Meetings, San Diego, January 2013 The Kepler problem on the Heisenberg group, Penn State University, November 2012
The Kepler Problem on the Heisenberg group, Dynamics Seminar, University of Maryland, November 2012 The Kepler problem on the Heisenberg group, Bay Area Differential Geometry Seminar, Stanford University, June 2012 Presentations Where does Kepler s third law hold?, Joint Mathematics Meetings, Seattle, January 2016 Periodic orbits in the Heisenberg-Kepler problem, MathFest, Portland, August 2014 What is grad school like?, CSU Sacramento Math Club, April, 2014. The Kepler problem on the Heisenberg group, Fourth Latin American Conference on Lie Groups and Geometry, CIMAT, Guanajuato, Mexico, August 2012. Conway s rational tangles, Monterey Bay Area Mathematics Project Teacher s Circle, UC Santa Cruz, June 2012 and March 2013 Sub-Riemannian geometry and the Heisenberg group, Mathematics Dept. Graduate Colloquium, UC Santa Cruz, May 2012 The Kepler problem on the Heisenberg group, Graduate Research Symposium, UC Santa Cruz, May 2012 Growth vectors and the Monster tower, Graduate Research Symposium, UC Santa Cruz, May 2011 Growth vectors and the Monster tower, Mathematics Dept. Graduate Colloquium, UC Santa Cruz, December 2010 Posters Mathematics Numerical methods and periodic orbits in the Kepler-Heisenberg problem, MathFest, Washington, DC, August Numerical methods and periodic orbits in the Kepler-Heisenberg problem, 3rd Conference on Finite Dimensional Integrable Systems in Geometry and Mathematical Physics, Bedlewo, Poland, July Numerical methods and periodic orbits in the Kepler-Heisenberg problem, Joint STAMP Conference and 9th ICMAT International GMC Summer School on Symplectic Geometry, Classical Mechanics, and Interactions with Spectral Theory, Institute for the Mathematical Sciences, Madrid, June Education Piloting free textbooks in real analysis, -16 FLC Culminating Gathering & Poster Session, CSU Sacramento, May 2016 Peer Assisted Learning at Sacramento State University, California Peer Leadership Conference, UC San Diego, April 2016 Piloting free textbooks in real analysis, Teaching and Learning Showcase, CSU Sacramento, March 2016 Peer assisted teaching and learning in Calculus I, CSU STEM Collaboratives Summit, Cal Poly Pomona, April
Conferences and Workshops Attended Sub-Riemaniann Geometry and Celestial Mechanics, CIMAT, Guanajuato, Mexico, August 2016 Geometry, Topology and Complexity of Manifolds, and applications to Biology, UC Berkeley, May 2016 California Mathematics Council Community Colleges Recreational Math Conference, Lake Tahoe, April 2016 California Peer Leadership Conference, UC San Diego, April 2016 MAA Golden Section Meeting, UC Davis, February 2016 DHSI Peer Network Convocation, CSU Sacramento, February 2016 Joint Mathematics Meetings of the AMS and MAA, Seattle, January 2016 MathFest, Washington, DC, August 3rd Conference on Finite Dimensional Integrable Systems in Geometry and Mathematical Physics, Bedlewo, Poland, July Joint STAMP Conference and 9th ICMAT International GMC Summer School on Symplectic Geometry, Classical Mechanics, and Interactions with Spectral Theory, Institute for the Mathematical Sciences, Madrid, June CSU STEM Collaboratives Summit, Cal Poly Pomona, April Joint Mathematics Meetings of the AMS and MAA, San Antonio, January Workshop on Nonholonomic Mechanics and Optimal Control, IHP Trimester on Geometry, Analysis and Dynamics on Sub-Riemannian Manifolds, Institut Henri Poincaré, Paris, November 2014 MathFest, Portland, August 2014 Northern California Symplectic Geometry Seminar, UC Berkeley and Stanford University, 2010 2013 New Directions for Mathematics Research Experiences for Undergraduates, Mt. Holyoke College, June 2013 Joint Mathematics Meetings of the AMS and MAA, San Diego, January 2013 Fourth Latin American Conference on Lie Groups and Geometry, CIMAT, Guanajuato, Mexico, August 2012 Conference in Memory of Robert Osserman, Stanford University, April 2012 Pacific Northwest Geometry Seminar (joint with BADGS), Stanford University, February 2012 Fifth International Summer School on Geometry, Mechanics, and Control, Autonomous University of Madrid, Spain, July 2011 Bay Area Differential Geometry Seminar, Mathematical Sciences Research Institute and Stanford University, 2011 Present CV current as of July 30, 2016