John Ross

Notable Achievements

Members of the Department of Mathematics and Computer Science attended the 2022 Annual Meeting of the Texas Section of the Mathematical Association of America (Texas MAA), held March 31–April 2 at the University of North Texas, the first in-person Texas MAA meeting since 2019. 

  • Assistant Professor of Mathematics John Ross presented “An n-bubble Result on a Dense Number Line.” Ross also participated in the professional development program of the Texas New Experiences in Teaching (NExT), held in conjunction with the Texas MAA meeting. 
  • Associate Professor of Mathematics Therese Shelton presented “From Cars to Competition to Cholera: Math Models in Differential Equations.” As section representative to the national governing body, the MAA Congress, Shelton also led events at the executive committee meeting, the business meeting, and more.
  • Emily Thompson  ’22 presented “Using Neural Ordinary Differential Equations (NODEs) to Create Models of Complex Curves,” which was the result of her mathematics capstone from fall 2022, supervised by Shelton. 
  • Mel Richey ’23 and Kevan Kennedy ’24 attended the conference. 
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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.