Department of Mathematics, Washington University in St. Louis

CV

- MIT, Ph.D. under Tom Mrowka, 2016.
- Caltech, B.S. Mathematics with a minor in Control and Dynamical Systems, 2011.

- Y. I. Berchenko-Kogan, Yang-Mills Replacement, submitted 2016.
- D. Shi, Y. I. Berchenko-Kogan, D. V. Zenkov, and A. M. Bloch, Hamel’s formalism for infinite-dimensional mechanical systems,
*Journal of Nonlinear Science***27**(1), 241–283, 2017. - Y. I. Berchenko-Kogan, Minimum product set sizes in nonabelian groups,
*Journal of Number Theory***132**(10), 2316–2335, 2012. - Y. I. Berchenko-Kogan, Uncovering the Lagrangian from observations of trajectories, Caltech senior thesis, 2011.
- Y. I. Berchenko-Kogan, Distance in the ellipticity graph, arXiv:1006.4853, 2010.
- Y. I. Berchenko-Kogan, More than math: The lasting benefits of summer programs,
*Imagine***21**(2), 20–21, 2013. - Y. I. Berchenko-Kogan, What do grad students in math do all day,
*Math Horizons***20**(3), 18–19, 2013. (français, 日本語, português)

- Hamel's formalism for infinite-dimensional mechanical systems, Foundations of Computational Mathematics, 2017.
- Yang-Mills replacement, Simons Center for Geometry and Physics, mathematics of gauge fields seminar, 2017.
- Yang-Mills replacement, AMS sectional meeting, Rutgers, special session in geometric analysis, 2015. (without overlays)
- Uncovering the Lagrangian of a system from discrete observations, JMM, AMS session on dynamical systems, 2012. (without overlays)
- Distance in the ellipticity graph, JMM, AMS session on group theory, 2011. (without overlays)

- Differential equations, fall 2016.
- Topology, fall 2016.
- Notes on Stallings Foldings, Mathcamp, 2012.