Mathematics

Theory for undercompressive shocks in tears of wine

Physical Review Fluids, 5(3).

Steady states and dynamics of a thin-film-type equation with non-conserved mass

European Journal of Applied Mathematics, 11, 1–34.

Modelling film flows down a fibre influenced by nozzle geometry

Journal of Fluid Mechanics, 901.

Crystal for Stable Grothendieck Polynomials

Proceedings of of the 32nd Conference on Formal Power Series and Algebraic Combinatorics. Presented at the 32nd Conference on Formal Power Series and Algebraic Combinatorics, Ramat Gan, Israel.

A Crystal on Decreasing Factorizations in the 0-Hecke Monoid

The Electronic Journal of Combinatorics, 27(2).

A functional analysis approach to the static replication of European options

Quantitative Finance, 21(4), 637–655.

PCA for Implied Volatility Surfaces

The Journal of Financial Data Science, 2(2), 85–109.

Khovanov Link Homology

In C. Adams, E. Flapan, A. Henrich, L. H. Kauffman, L. D. Ludwig, & S. Nelson (Eds.), Encyclopedia of Knot Theory (pp. Chapter 70). Chapman & Hall.

A Method for Dimensionally Adaptive Sparse Trigonometric Interpolation of Periodic Functions

SIAM Journal on Scientific Computing, 42(4), A2436–A2460.

Evolutionary homology on coupled dynamical systems with applications to protein flexibility analysis

Journal of Applied and Computational Topology, 4(4), 481–507.

Defining Epidermal Basal Cell States during Skin Homeostasis and Wound Healing Using Single-Cell Transcriptomics

Cell Reports, 30(11), 3932–3947.e6.

Structural cavities are critical to balancing stability and activity of a membrane-integral enzyme

Proceedings of the National Academy of Sciences, 117(36), 22146–22156.

Persistent Cohomology for Data With Multicomponent Heterogeneous Information

SIAM Journal on Mathematics of Data Science, 2(2), 396–418.

Inferring spatial and signaling relationships between cells from single cell transcriptomic data

Nature Communications.

A topology-based network tree for the prediction of protein–protein binding affinity changes following mutation

Nature Machine Intelligence.

A review of mathematical representations of biomolecular data

Physical Chemistry Chemical Physics.

A Note on Sparse Polynomial Interpolation in Dickson Polynomial Basis

ACM COMMUNICATIONS IN COMPUTER ALGEBRA, 54(4), 125–128.

Operator splitting based central-upwind schemes for shallow water equations with moving bottom topography

Communications in Mathematical Sciences, 18(8), 2149–2168.

On Khovanov Homology and Related Invariants

Proceedings of the Research Collaboration Conference of the Women in Symplectic and Contact Geometry and Topology. Springer.

Smooth Points on Semi-algebraic Sets

ACM COMMUNICATIONS IN COMPUTER ALGEBRA, 54(3), 105–108.