Haswell works in mechanobiology, and is interested in the structure-function properties of molecular and cellular structures in plants.[2] She has studied the minuscule mechanosensitive tunnels ("piezochannels") within cell membranes. These tunnels help cells to understand and respond to mechanical forces. Haswell was particularly interested the fundamental mechanisms that underpin the role of these channels within the pollen tubes of flowering plants.[3] She identified that these channels are not found along the plasma membrane, but deep within the plant cell.[4] Haswell has also studied the signal mechanisms plants use to respond to threats.[5][6] In 2016, she worked at the University of Cambridge as a Visiting Professor in the Sainsbury Laboratory. Haswell is on the editorial board of Science Advances.[7]
Alongside her academic research, Haswell has written about research culture, equity[8] and how concepts from sustainable agriculture can be applied to biology faculty members.[9] In 2017, she started The Taproot podcast, an American Society of Plant Biologists program that discusses the stories behind science. The podcast addresses issues such as work-life balance, gender discrimination and racism.[10] She helped to create the DiversifyPlantSci database, which seeks to create a global plant science community that reflects the diversity of its members.[11]