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Welcome to Stephen DeSalvo's home page!




I am currently a quantitative developer at Praedicat.  The technological aspects are what really got me excited to explore this opportunity, and I found the people involved to be quite exceptional and inspiring. 


I am no longer scheduled to teach any more PIC classes in the future. 


Below you will find my research interests and papers, many of which are still under review by refereed journals.  Please feel free to reach out if you have any questions or comments with respect to these topics!



Below is a heat map describing the various fields I have worked in.

                        



My research interests include probability, asymptotic analysis, enumerative combinatorics, random sampling of conditional distributions, integer partitions, Poisson approximation (Stein's method)and local central limit theorems. 

I also have an extensive applied mathematics background, see Mathematical and Biological Applications.  I have been teaching using the new C++11/14 ISO Standard, and I have worked with MPI (message passing interface) for parallel computing; B-spline interpolationspatial fuzzy c-means clustering, and other image processing techniques in Matlab; orbital mechanics, specifically, the restricted 3-body problem and the invariant manifolds of the Sun-Earth-S/C and Earth-Moon-S/C dynamical systems; satellite communications systems, in the form of calculating channel capacity under various forms of noise; PI3K signal transduction pathway for Dictyostelium Discoideum; I also implemented many numerical and statistical algorithms from numerical linear algebra and statistical regression analysis in MathStudio. I also recently participated in several workshops in applied mathematics: predictive policing in Providence, Rhode Island, where we looked at dispatch data to design an optimal allocation of police resources at a district level; and also a workshop for mathematical problems in industry at Duke University, where I worked with ReVon on analyzing triage data for asthma and COPD patients using various machine learning and statistical tools.

Postdoc at the University of California Los Angeles working with Igor Pak and more recently Georg Menz.
PhD in applied mathematics at the University of Southern California in 2012 under the direction of Richard Arratia
Master's degree in statistics at the University of Southern California in 2009.
I worked with Fadil Santosa as an undergraduate student in conjunction with the Minnesota Supercomputing Institute and an REU at the University of Minnesota.





Some Recent Highlights (last updated August 9, 2017):
  • The paper with Harry Crane and pattern avoidance for random permutations has been accepted into a special issue of Discrete Mathematics and Theoretical Computer Science, Permutation Patterns.  I presented the work at the Permutation Patterns conference in the summer of 2016 at Howard University in Washington, DC.  

        Recent Talks              Teaching              Mathematical and Biological Applications              Coding              Misc          


    Papers Submitted

2018+
2017
2016
2015
2013
2011
2010
2007
  • "Image Processing for C. Elegans Movement Video Streams," Los Alamos National Laboratory Technical Report LA-UR-07-5069 (with Matt Sottile, Sharif Ibrahim, and Jennifer Treanor) (2007)
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