John Ross

Notable Achievements

The Department of Mathematics and Computer Science was active at the Joint Mathematics Meetings, with national meetings of the Mathematical Association of America (MAA), the American Mathematical Society (AMS), the Association for Women in Mathematics (AWM), and more. It is the largest meeting of mathematicians in the world. The meetings were held in Denver, CO, January 15–18, 2020.

  • Sarah Friday ’21 and Jordan Smith ’20 presented “Diagonalizing the Undiagonalizable,” research based and expanding on a 2019 SCOPE project with Professor of Mathematics Fumiko Futamura. Aaron Waclawczyk ’21 was a coauthor who helped extend the SCOPE work. The presentation was in the AMS contributed-paper session on algebra and algebraic geometry.
  • Daniela Beckelhymer ’20 presented her mathematics capstone project titled “The Costs and Rewards of Pursuing Different Postsecondary Degrees“ as part of the undergraduate poster session. Professor of Mathematics Alison Marr supervised the project.
  • Marr presented “Choose Your Own Adventure: An Analysis of Interactive Gamebooks Using Graph Theory” in the MAA contributed-paper session “Tell Me a Story: Connections between Mathematics and Performed or Print Narrative.” D’Andre Adams ’21 and Beckelhymer are coauthors.  The presentation was based on their 2017 SCOPE research and their subsequent publication.
  • Marr  coorganized the MAA contributed-paper session on re-envisioning the calculus sequence with coorganizers Robin Cruz, College of Idaho; Tom Halverson, Macalester College; Joel Kilty, Centre College; Alex M. McAllister, Centre College; and Chad Topaz, Williams College.
  • Marr  was a coauthor of the talk “Calculus: Origins, Reforms, and New Directions” with Robin Cruz, College of Idaho; Tom Halverson, Macalester College; Joel Kilty, Centre College; Alex M. McAllister, Centre College; and Chad Topaz, Williams College.
  • Marr and Assistant Professor of Mathematics John D. Ross presented the preliminary report “A Re-Envisioning of the Calculus Sequence for the Modern Student” with coauthors Joel Kilty, Centre College, and Alex M. McAllister, Centre College.
  • Ross  presented “Exploring Big Ideas in Calculus 1 through Bite-Sized IBL Lessons” in the MAA contributed-paper session on inquiry-based learning and teaching.
  • Associate Professor of Mathematics Therese Shelton copresented “Building Community through Systemic Initiative for Modeling Investigations and Opportunities with Differential Equations (SIMIODE)” in the MAA poster session on projects supported by the National Science Foundation (NSF) Division of Undergraduate Education. Her coauthors were the coprincipal investigators of their NSF grant: Brian Winkel, SIMIODE and emeritus professor from the U.S. Military Academy at West Point; Richard C. Harwood, Newberg University; Audrey Malagon, Virginia Wesleyan University; and Patrice Tiffany, Manhattan College. The NSF grant partly funded Shelton’s attendance. Shelton served on the SIMIODE Board of Contributing Advisors, as well as participated in a meeting of her NSF grant coprincipal investigators.
  • Shelton  coorganized the AMS special session “Wall-to-all Modeling Activities in Differential Equations Courses.” Her coorganizers were Janet Fierson, La Salle University, and Brian Winkel, SIMIODE.
  • Shelton  participated in the meeting of the national MAA Committee on Sessions of Contributed Papers.
  • Visiting Assistant Professor of Mathematics Safia Chettih presented the preliminary report “A Combinatorial Model for an Honest ∞-Operad” in the AMS special session on computational and categorical methods in homotopy theory. Her coauthors were L. Bonatto, University of Oxford; A. Linton, University of Southampton; S. Raynor, Macquarie University; M. Roberston, University of Melbourne; and N. Wahl, University of Copenhagen.
  • Visiting Assistant Professor of Mathematics John M. Osborn also attended.
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Expertise

Differential Geometry, Riemannian Geometry, Geometric Analysis. Minimal surfaces, Mean Curvature Flow. The mathematics of bubbles and similar surfaces.

John Ross received his PhD in Mathematics from Johns Hopkins University in 2015 and his BA in Mathematics from St. Mary’s College of Maryland in 2009.

  • John Ross received his PhD in Mathematics from Johns Hopkins University in 2015 and his BA in Mathematics from St. Mary’s College of Maryland in 2009.

  • Dr. Ross’ research focuses on theory and applications of minimal surfaces and mean curvature flow. Taken together, these subjects describe how surfaces (or higher-dimensional manifolds) can evolve in time to achieve stable structures under certain constraints. The most accessible example is the creating of bubbles via soap film - a two-dimensional elastic surface that aims to minimize surface area subject to some additional structural constraint (eg. constant volume enclosure in the case of a free-floating bubble, or fixed boundary in the case of a bubble wand). The geometry of the surface with minimal surface area - or the evolution a soap film undergoes as it evolves to shrink surface area - is of broad interest to mathematicians, materials scientists, and physicists. Dr. Ross studies the differential equations that govern this process, and the connection between these equations and the underlying geometry of the surfaces.