Here I post articles/books/other material that I find extremely interesting, useful and/or influential on my journey.
in progress
- Diekmann, O, Heesterbeek, J. A. P, and Roberts, M. G. 2009. “The Construction of Next-Generation Matrices for Compartmental Epidemic Models.” Journal of the Royal Society Interface. 7 (47): 873–85.
If you know me, you might know that I am a fan of the NGM approach for evaluating R0. We know that due to complexity of systems, we might get work with huge matrices. This paper provides new types of NGM and ways to construct them. - Kissler, S. M., Tedijanto, C., Goldstein, E., Grad, Y. H., Lipsitch, M. "Projecting the transmission dynamics of SARS-CoV-2 through the postpandemic period." Science. 368 (6493): 860-868.
I think this now classical paper, contains all the basic analysis needed for epi modelling . The supplementary is in itself quite informative and helped me in computing parameters from the data. - Short, Martin B., Maria R. D'orsogna, Virginia B. Pasour, George E. Tita, Paul J. Brantingham, Andrea L. Bertozzi, and Lincoln B. Chayes. "A statistical model of criminal behavior." Mathematical Models and Methods in Applied Sciences 18, no. supp01 (2008): 1249-1267.
If you want to get into mathematical criminology and/or looking for application of RAD systems in an unusual setting, look no further. My PhD dissertations is based on this work
- Martcheva, Maia. 2015. An Introduction to Mathematical Epidemiology. 1st ed. 2015. Vol. 61. New York, NY: Springer.
This was my first textbook on mathematical epidemiology, comprehensive, yet easy to follow. I was able to understand and explain materials. My favorite chapter was 5th, where NGM was introduced. Highly recommend to anyone exploring mathematics of infectious diseases. - Edelstein-Keshet, Leah. 2005. Mathematical Models in Biology. Society for Industrial and Applied Mathematics.
This textbook was used on my introduction to mathematical biology class. It introduced to the basic concepts, but most importantly it made me love applied mathematics. I would say it was pivotal in changing my research interest.- Dummit, David Steven., and Richard M. Foote. 2004. Abstract Algebra. 3rd ed. Wiley.
Abstract algebra will have a special place in my mathematical heart, and this book is most comprehensive in terms of basic material. It sets your background up for future research in more advanced fields, at least, for me it was fundamental in my Capstone project.
- Zimmer, Carl. 2000. Parasite Rex: Inside the Bizarre World of Nature's Most Dangerous Creatures. Free Press.
I love arthropods' world, and this book is the excellent sci-pop on the interesting (maybe even revolting) aspect of that. Subconsciously, maybe I wanted to understand that world mathematically, and that's why I was interested in math biology. I would love some day to have research around those small creatures.- Hubberd, Ben. Poison: The History of Potions, Powders and Murderous Practitioners. Carlton Books
Another intriguing and unexplored world. This books focuses on the history, but has a few pages dedicated to the description of the lethal weapons. Another obscure topic that I would love to apply math to.