Mathematics forms the foundation upon which all other theories are constructed.  I challenge myself to rely on physical conservation laws to make basic predictions about the nature of convection and cloud processes.

Topical References:

Igel, M. R. and J. A. Biello:  A Reconstructed Total Tropical Precipitation Framework (2019). npj Climate and Atmospheric Science. (2) 32. DOI: 10.1038/s41612-019-0090-8. IB

Igel, M. R. and A. L. Igel (2018): The Energetics and Magnitude of Hydrometeor Friction in Clouds. Journal of the Atmospheric Sciences. 75, 1343-1350. doi:10.1175/JAS-D-17-0285.1 II

Igel, M. R., and S. C. van den Heever (2015):  Deep-Convective Morphology as Observed from CloudSat.  Atmospheric Chemistry and Physics Discussion. 15, 15977-16017, doi: 10.5194/acpd-15-15977-2015. IH