I aspire to work with scientific visionaries to tackle societal problems.

What I currently do.

I am a 4th year PhD student in the Applied Math Program at the University of Arizona. I work in Soliton Theory where my goal is to develop a kinetic theory of MKDV solitons under the advisement of Dr. Vladimir Zakharov. Thus far, I've derived the focusing and defocusing MKDV equations and derived 1- and 2-soliton solutions using the Dressing Method.

I also work on computing marginal probabilities of graphical models of infection for covid modeling under the advisement of Dr. Misha Chertkov. We seek to determine the probability that a census tract becomes infected given the average number of people traveling in and out of each census tract.

Current Research Interests:

  • Statistical Mechanics

  • Integrable Systems

  • Machine Learning

  • Stochastic Optimization

  • High Performance Computing

  • Graphical Models

  • PDEs and ODEs

Non-Academic Interests:

  • Languages (I speak English and French. I have knowledge of Afrikaans, Dutch, Flemish, Spanish, and Hebrew)

  • Chess

  • Guitar

  • Hiking

  • Backpacking

  • Gym

  • Swimming

  • Traveling

Companies and Universities I've worked with.

You can find a copy of my resume here.

Resume_J_R_Abrams_October_2020.pdf

Publications

  • Mallory Kristina, Rubin Abrams Joshua, Schwartz Anne, Ciocanel Maria-Veronica, Volkening Alexandria and Sandstede Björn 2021 Influenza spread on context-specific networks lifted from interaction-based diary data R. Soc. open sci.8191876 https://doi.org/10.1098/rsos.191876

  • Abrams, J. R. , Baldwin D., Celayá-Alcala J., Chen Z., Gonda R. (2017). Analysis of Equity Markets: A Graph Theory Approach. SIAM Undergraduate Research Online, 10. https://doi.org/10.1137/16s015632