Students

 
Over the years, I've been fortunate enough to work with great students.  Many of them have continued on to seek academic employment or a stable job in business and industry.  All of them have provided me with some really great experiences.



Graduate Students






Deborah Shutt


Deborah Shutt, M.S.
Ph.D. student
Colorado School of Mines (2013- 2017)
(co-advised with Aaron Porter - AMS)

Mathematical Analysis of in-host HIV dynamics and Statistical Modeling of Ebola epidemic in Western Africa

"An in-host model of HIV incorporating Latent Infection and Viral Mutation", Dynamical Systems, Differential Equations, and Applications, AIMS Proceedings (2015) pp. 913-922 (.pdf)





Michael Schmidt,
Ph. D. student
Colorado School of Mines (2015- )
(co-advised with David Benson - Hydro)

Chemical Reaction Dynamics in Imperfectly-Mixed Systems

"A Kernel-based Lagrangian Method for Imperfectly-Mixed Chemical Reactions", submitted.





Kaitlyn Martinez,
Ph. D. student
Colorado School of Mines (2015- )
(co-advised with Aaron Porter - AMS)

Spatial Mixing in Stochastic Epidemiological Models




David Hickman
Nathan Neri,
M.S. student
Colorado School of Mines (2014-2016 )

 
A Refined Model of the Acute Stage of HIV Infection

"Bistable Dynamics and Hopf Bifurcation in a Model of the Acute Stage of HIV Infection", submitted.








Benjamin Sattelberg,
M.S. student
Colorado School of Mines (2015-2016 )

Global Sensitivity Metrics for Plasmas using Particle-in-cell Methods

"Global Sensitivity Metrics and Active Subspaces for Kinetic Simulations of Plasma Dynamics", in revision





Christian Parkinson
Christian Parkinson, M.S.
Colorado School of Mines (2013-
2015)

Spatial Modeling and Analysis of in-host HIV dynamics

Master's Thesis (.pdf)

"Mathematical Analysis of an in-host Model of Viral Dynamics with Spatial Heterogeneity", Discrete and Continuous Dynamical Systems B, (2016) 21 pp. 1237-1257 (.pdf)

Currently Ph.D. student at UCLA






Tyson Loudon
Tyson Loudon, M.S.
Colorado School of Mines (2014-2015)

Parameter reduction using active subspaces in a long-term model of HIV


Master's Thesis (.pdf)


"Mathematical Analysis and Dynamic Active Subspaces for a Long-term model of HIV", Mathematical Biosciences and Engineering (2017) 14 pp. 709-733
(.pdf)
 
Currently Ph.D. student at University of Minnesota





David Hickman

David Hickman, M.S.
Colorado School of Mines (2013- 2014)

Molecular Modeling & Simulation using Particle Swam Optimization


Master's Thesis (.pdf)


Currently Business Systems Analyst at Tallgrass Energy











        NO CURRENT PICTURE
Jennifer Anderson, M.S.
University of Texas at Arlington (2009-2010)

A One-dimensional Kinetic Model of Plasma Dynamics with a Transport Field

Master's Thesis (.pdf)


Currently Ph.D. student at Texas A&M University (Several Complex Variables)




Undergraduate Research Students






Eric jones
Eric Jones
Colorado School of Mines (2013-2015)
CSM UG Research Fellow (2013 & 2014)

Long-term modeling of in-host HIV dynamics

"Analysis and Simulation of the three-component model of HIV dynamics", in SIAM Undergraduate Research Online (.pdf)

Janet L. Andersen Award for Undergraduate Research in Mathematical or Computational Biologyaward at MAA MathFest 2015

Currently Ph.D. student at UCSB (Physics)

Kevin Rozmiarek
Kevin Rozmiarek
Colorado School of Mines (2014-2015 )
CSM UG Research Fellow (2014)

Modeling the spread of HIV in Gut-associated Lymphoid Tissue (GALT)

Currently Research Contractor at U.S. Geological Survey



Peter Roemer

ENS Peter Roemer

U.S. Naval Academy (2012-2013)
 

Stochastic Modeling of the Persistence of HIV: Early Population Dynamics
Trident Scholar Project (.pdf)

"Analysis and Simulation of the three-component model of HIV dynamics", in SIAM Undergraduate Research Online (.pdf)

Currently Staff Instructor for United States Navy Nuclear Power Training Command



Dustin Brewer

Dustin Brewer

University of Texas at Arlington (2009-2010)
CURM Fellow


"Computational Methods for a One-dimensional Plasma Model with a Transport Field" SIAM Undergraduate Research Online 4 (2011) 81-104 (.pdf)

SIAM award at MAA MathFest 2010


M.S. Columbia University (Operations Research & Computational Finance)


Charlie!

Charles Nguyen

University of Texas at Arlington (2009-2010)
CURM Fellow

Honors thesis (.pdf)
   

"A One-dimensional Kinetic Model of Plasma Dynamics with a Transport Field" Evolution Equations and Control Theory 3 (2014) 681-698 (.pdf)


Graduate School - UTA (Statistics)


Robert Allen

Robert Allen
University of Texas at Arlington (2009-2010)
CURM Fellow


"Instability of some BGK Waves for the Vlasov-Poisson System" European Physical Journal D 68 (2014) 363-370
(.pdf)


Graduate School - Southwest Research Institute (Space Physics)





      NO CURRENT PICTURE
Jamil Ortoleva,
Indiana University (2007-2008)

"Stochastic Dynamics of Bionanosystems:

Multiscale Analysis and Specialized

Ensembles" (with Y. Miao,  Z. Shreif, and P. Ortoleva) J. Chem. Phys. 128 (2008) 234908



(.pdf)