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 and A. Stern, Constraint-preserving hybrid finite element methods for the Yang–Mills equations, in preparation.
- Y. I. Berchenko-Kogan and A. Stern, Constraint-preserving hybrid finite element methods for Maxwell's equations, in preparation.
- Y. I. Berchenko-Kogan, Duality in finite element exterior calculus and the Hodge star operator on the sphere, preliminary notes, 2019.
- Y. I. Berchenko-Kogan,
The entropy of the Angenent torus is approximately 1.85122, under review,
*Journal of Experimental Mathematics*, 2018. - Y. I. Berchenko-Kogan, Duality in finite element exterior calculus, arXiv:1807.01161, 2018.
- Y. I. Berchenko-Kogan, Yang–Mills Replacement,
*Journal of Geometric Analysis***28**(4), 3603–3656, 2018. - 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)

- Duality in finite element exterior calculus, Finite Element Circus, 2018. (slides) (slides with overlays)
- Hamel's formalism for infinite-dimensional mechanical systems, Foundations of Computational Mathematics, 2017. (poster)
- Yang-Mills replacement, Simons Center for Geometry and Physics, mathematics of gauge fields seminar, 2017. (video recording)
- Yang-Mills replacement, AMS sectional meeting, Rutgers, special session in geometric analysis, 2015. (slides) (slides with overlays)
- Uncovering the Lagrangian of a system from discrete observations, JMM, AMS session on dynamical systems, 2012. (slides) (slides with overlays)
- Distance in the ellipticity graph, JMM, AMS session on group theory, 2011. (slides) (slides with overlays)

- Measure Theory and Functional Analysis II, spring 2019.
- Introduction to Lebesgue Integration, spring 2019.
- Measure Theory and Functional Analysis I, fall 2018.
- Mathematics for the Physical Sciences, spring 2018.
- Calculus II, fall 2017.
- Differential equations, fall 2016.
- Topology, fall 2016.
- Notes on Stallings Foldings, Mathcamp, 2012.