### Research Focus

Research Area: Low-dimensional topology

I am particularly interested in algebraic invariants of knots in 3-manifolds and loops in surfaces. My recent projects have focused on problems in flat virtual knot theory, working with knots and links that are combinatorial models of curves on surfaces.

I am also interested in developing course materials that allow students to actively engage with their mathematical learning, using their curiosity, props, and activities to build mathematical ideas.

### Publications

Complexity of virtual multistrings,

*Comm. Contemp. Math.*(2021), https://doi.org/10.1142/S0219199721500668.Multistring based matrices,

*J. Knot Theory Ramifications***29**(6) (2020), 2050038.Minimizing intersection points of curves under virtual homotopy, with V. Chernov and R. Sadykov,

*J. Knot Theory Ramificiations***29**(3) (2020), 2050007.