Andrea N. Young
Associate Professor of Mathematical Sciences
Office: Todd Wehr 212
- Basic Information
- Awards & Honors
- Areas of Interest
- B.S. in Mathematics, Pennsylvania State University
- Ph.D. in Mathematics, The University of Texas at Austin
- MTH 130 Mathematical Thinking and Writing
- MTH 175 The Shape of the Universe
- MTH 201 Calculus I
- MTH 246 Mathematical Modeling
- MTH 343 Differential Equations
- MTH/CS 501 Senior Seminar
Areas of expertise:
- Geometric Analysis
- Discrete Differential Geometry
Awards & Honors
- VIGRE postdoctoral fellowship, University of Arizona, 2008-2011
- Deputy Director of 2010 Arizona Summer Program
- Service and Teaching Award, University of Arizona, 2010
- Project NExT fellow, 2011-2012
- With Kathryn Bruhns ’16, "Chalk it up to Experience: Using chalkboard paint to create mathematical manipulatives," International Journal of Mathematics Education in Science and Technology, December 2016.
- One of several authors for textbook Knots, Molecules and the Universe: An Introduction to Topology, American Mathematical Society.
- "Improvisation in the Mathematics Classroom." Problems, Resources, and Issues in Mathematics Undergraduate Studies, Vol. 23, Issue 5, pp 467-476, 2013.
- “Ricci Yang-Mills Solitons on Nilpotent Lie Groups” with Michael Jablonski (Journal of Lie Theory, Vol. 23, 177-202, 2013.)
- “Regge’s Einstein-Hilbert Functional on the Double Tetrahedron” with Daniel Champion and David Glickenstein (Diff. Geom. Apps., Vol. 29, Issue 1, 2011.)
- “The Cross Curvature Flow on a Negatively Curved Solid Torus” with Dan Knopf and Jason Deblois (Algebr. Geom. Topol. 10, 2010.)
- “Stability of the Ricci Yang-Mills flow at Einstein Yang-Mills metrics” (Comm. Anal. Geom. Vol 18, No. 1, 77-100, 2010.)
- “Asymptotic Stability of the Cross Curvature Flow at a Hyperbolic Metric” with Dan Knopf (Proc. Amer. Math. Soc. 137 (2009), 699-709)
- “Modified Ricci Flow on a Principal Bundle” – Ph.D. thesis
- “Constant Scalar Curvature Metrics on Boundary Complexes of Cyclic Polytopes” with Daniel Champion, Andrew Marchese*, and Jacob Miller* (submitted) * denotes undergraduate coauthor
- Improvisation in the Mathematics Classroom (To Appear in PRIMUS: Problems, Resources, and Issues in Mathematics Undergraduate Studies)
Additionally, in 2013-14, I created a series of 10 videos with Pearson as part of their MathTalk video series. Two of the videos can be found here:
Areas of Interest
- Geometric flows
- Riemannian geometry
- Discrete differential geometry
- Using improvisational comedy techniques in the classroom
- Mathematical Association of America, Association for Women in Mathematics
- "Improvisation in the Mathematics Classroom," invited talk, Seattle University, January 2016
- "Direct Embodiment in Differential Calculus," contributed talk, and "Canonical Metrics on the Pentachoron," invited talk, Joint Mathematics Meetings of the AMS and the MAA, national conference, January 2016.
- “Little Fractal on the Prairie: A Study of Fractal Dimension” in the MAA Session on Projects, Demonstrations, and Activities that Engage Liberal Arts Mathematics, Joint Mathematics Meetings, January 9-12, 2013 in San Diego, CA.
- “Active Learning Across the Curriculum” (joint with David Scott and McKenzie Lamb) at WI MAA section meeting, April 5-6, 2013, UW Marshfield
- “A Discrete Yamabe Problem” in the special session Geometric Partial Differential Equations, AMS Spring Section Meeting, April 27-28, 2013 at Iowa State University.
Improv in the Math Classroom
Below are the notes for two Math and Improv presentations that I have been developing during my time as a faculty member. I have given these presentations to a variety of math educators, and I am always willing to modify them to address your group’s needs.
The first presentation, “Improv in the Mathematics Classroom”, demonstrates how some of the most fundamental tenets of improv can be applied to creating an open and engaging mathematics classroom. The second presentation, “Improv for the Mathematics Instructor,” deals with how improv can be used by math instructors to improve their own “performance”.
“Improv in the Mathematics Classroom”
“Improv for the Mathematics Instructor”
Slides from “Improv in the Math Classroom” my keynote address for the Arizona Center for STEM Teachers at the Biosphere 2 on October 23, 2010.
Improv and Teaching Resources (books)
Gwinn, P. Group Improvisation: the manual of ensemble improv games
Johnstone, K. Impro: Improvisation and the Theatre
Spolin, V. Improvisation for the Theater
Tauber, R. Acting Lessons for Teachers: Using Performance Skills in the Classroom
Timpson, W. Teaching and Performing: Ideas for energizing your classes
Improv and Teaching Resources (websites)