Annie Warren

Contact
amw9588@cims.nyu.edu
office: CIWW 1027
251 Mercer Street
New York, NY 10012

Anne Marie Warren

I am a second year PhD student at NYU's Courant Institute. Here's my CV.

Bio

Biomolecular condensates forming in cancer cells
Biomolecular condensates forming in cancer cells [video] 1

Currently I'm working with Dr. Ofer Kimchi on reduction-of-dimensionality in the biological search problem. In what ways do the macromolecular structures within the cell allow for biologically feasible association rates between sparsely distributed ligands and precise reaction sites in cells?

The basic principle is related to the drunkards walk (or, more formally, the non-recurrence of 3D random walks). We hypothesize that macrostructures acting as 2D surfaces within the cell- for example, biomolecular condensates- essentially function as antannae, providing crucial advantages in efficiency to searching ligands.

A drunk man will find his way home, but a drunk bird may be lost forever.

Shizuo Kakutani
Belousov–Zhabotinsky reaction pattern
The Belousov–Zhabotinsky reaction, a classic pattern-forming system.

I enjoy using a PDE and dynamical systems based approach to understand the underlying mechanics of highly complex and efficient biological processes. Coherent structures, pattern formation, and other emergent properties of interacting systems are of particular interest to me.

I recently graduated with my bachelor's in mathematics from the University of Minnesota, where I completed a thesis on rate induced tipping and related effects in nonautonomous spatially extended systems, advised by Dr. Arnd Scheel.

Papers and preprints

O. Clifton, A. Chavez, A. Madrigal, A. Warren, P. Yeung, A. Scheel.

Vacuum bubble and fissure formation in collective motion with competing attractive and repulsive forces. Journal of Nonlinear Waves, 2026. (PDF)

Conferences and talks

Conference on order and function in complex systems. August 10 – 14, 2026, University of Minnesota Twin Cities.

Theses

Latin Honors Thesis, summa cum laude, U Minnesota 2025

Understanding non-classical tipping: rate-induced tipping and novel reverse tipping phenomena in a nonautonomous spatially extended system. (PDF)

  1. Varun Sheel & Dr. Walter Huynh. Confocal, 100× objective. Nikon Small World in Motion, 2022.