About Me

I am a first year PhD student in the mathematics program at UW Madison. I am currently supported by a NDSEG Fellowship and I expect to graduate by 2024.

Contact Details

John Cobb
Department of Mathematics, Office 820
University of Wisconsin-Madison
Van Vleck Hall
480 Lincoln Drive
Madison, WI 53706

(608) 263-3054
jcobb2@math.wisc.edu

Research

Publications

  1. Aggregate Dispersions to Enhance ​the Intrachain Order in Surfactant-Stabilized Aqueous Colloids of Poly(3-hexylthiophene)
    with McKenna Andrews, Anna Smirnova, Devin Sharp, Sarah Taylor, and David Boucher
    Journal of Molecular Liquids, 277 (2019), no. 1, 996--1004.

In Review

  1. Direct and Inverse Scattering of Quaternion-Valued KdV Solitons
    with Alex Kasman, Monique Sharpman, and Albert Serna
    Journal of Nonlinear Mathematical Physics
  2. Evolutionary Strategies to Solve the Rankability Problem
    with Paul Anderson

Teaching

I am currently on fellowship.

Notes

Soliton Theory

  1. Quaternionic KdV Solutions

    This was my Bachelors essay. It is about a noncommutative generalization of the KdV equation, a prototypical example of a completely solvable nonlinear partial differential equation due in part to its admittance of soliton solutions. It is partly expository, although some new results are shown too.

Quotes

  • I have learned not to take glory in the difficulty of a proof: difficulty means we have not understood. The ideal is to be able to paint a landscape in which the proof is obvious.

    Pierre Deligne
  • Mathematics is the art of giving the same name to different things.

    Henri Poincaré
  • Mathematics knows no races or geographic boundaries; for mathematics, the cultural world is one country.

    David Hilbert