Much of my current research centers around, but is not restricted to, applied optimization, derivative-free and hybrid methods for simulation-based problems, mathematical modeling, and simulation in the geosciences. I am grateful to be an applied mathematician because I have been given the opportunity to collaborate with environmental engineers, biologists, psychologists, chemical engineers, and even farmers.
For more details on the so-called community problems, go here: Optimization
For other work go to Sustainability
Research Students Advised :
Doctor of Philosophy
1. Godfred Yamoah, Fully Adaptive Methods for Variably Saturated Flow Problems, 2009.
2. Ahmad Almomani, Constraint Handling for Derivative-free Optimization, 2012.
3. Jesse Clark-Stone, Multi-objective Particle Swarm Optimization for Constrained Optimization, 2013-present.
4. Ben Ritz, Hybrid Methods for Constrained Mixed-integer Simulation-baed Optimization Problems, 2013-present.
5. Josh Beauregard, Particle Swarm Optimization with the Filter Method for Basin Network Design, 2015-present.
1. Brian McClune, New Hybrid and Surrogate Techniques for Simulation-based Optimization of a Polymer Extrusion Filter, 2009.
2. Jacob Orsini, Understanding Video Games as a Learning Tool in an Introduction to Numerical Methods Course, 2010.
3. Katie Lozo, A Mathematical Modelling Approach to Assessing Teacher Leaders, 2010.
4. Ryan Lewis, TBA, expected graduation December 2011.
Undergraduate Researchers (Clarkson Undergraduates are AWESOME!)
Andres Rivas, Using Simulation-Based Optimization to Guide Allocations of Surface and Ground Water Resources for Agricultural Water Use in South Carolina, 2016
Rachel Timm, 3D printing to Teach Parametric Curves, 2016.
Mattie Phillips, 3D Printing of Physics-based Roller Coasters, 2015 SURE Symposium award from best poster Mathematical Representations for Digital Arts and Sciences, 2015, 2016.
Rivas, Dynamic Planting Decisions using Hydrological and Agricultural Models
andthe DAKOTA Framework, McNair Scholars Program, 2014.
Leah Granger, Implementing a STEM Mentoring Network for Geographically Isolated High School Students, Honors Summer Research, 2014.
Michael Fulton, An Approach for Optimal Groundwater Remediation Using CORT3D, Summer Research, 2014
Joshua Beauregard, Simulation and Sensitivity Analysis of Slow Release Permanganate Cylinders for Chemical Oxidation, Environmental Engineering Summer REU, 2013.
Jayesh Bokhiria, Implementing an Initial Farm Status for Optimal Crop Scheduling, Summer Research, 2013.
Kevin Gibson, Curriculum Development for K12-STEM Outreach, Summer Research, 2013.
Will Shannon, Understanding Neural Architectures for Threat Detection, Summer Research, 2013.
Corey Ostrove, Black-Box Formulation with FMP for Agricultural Management, Summer Research 2013.
Edward Rogers, Visualization of Crop Scheduling for Berry Farming, Honors Summer Research, 2013.
Kathryn Voss and Jacob Sheehy, The Development of a Personalized Cyber Tutoring and Quiz System for Distance Learning, Summer 2012.
Cleann Davis, Teacher and Student Curriculum Development for Integrated STEM, Summer 2012.
Ben Ritz, Honors Program Thesis Advisor, A Hybrid GA-implicit Filtering Algorithm for Mixed-integer Nonlinear Optimization Problems, 2010-2012.
Jessica Burl, Honors Program Pre-Freshmen Summer Research, Understanding the impact of Catchment Basins on Berry Farming in the Pajaro Valley, 2010.
Mark Minick won the SIGMAA EM award at Mathfest, which recognizes exceptional presentations that involve work on problems arising from environmental sources for our 2010
summer research project with Ruby Fu, Optimizing Aquifer Water Consumption and Maximizing Profit for Strawberry Farmers
Brian Leventhal won the Outstanding Presentation Award for his talk on Understanding How the Brain Detects Threats at Mathfest, working during summer 2010 jointly with psychology junior Kylie Drouin, mentored by Fowler and Psychology Professor Robert Dowman. The research was part of a National Science Foundation-funded Undergraduate Biology- Mathematics (UBM) program designed to help students learn how to work as part of an interdisciplinary team to conduct research that might not be accessible from a single field.
Benjamin Ritz, summer Honors Program 2010, Modeling the Spread of Porphyric Hemophilia (Vampirism), and A Matlab Implementation of a Hybrid GA-Implicit Filtering method for MINLP
Nevin Brackett-Rozinsky, Honors Program Thesis Advisor, Sensitivity Analysis for a Polymer Extrusion Filter Model, 2010.
Brian Leventhal, summer 2009-2010, Parameter Estimation for a Shallow Subsurface Heat Transport Model.
Daisy Barbecho, McNair Scholars Program, summer 2009, Sensitivity Analysis of a Colloid Transport Model.
Samantha Batcheller, summer 2009, Implementation of the Umatillo Navy Waste Site Simulation.
Ben Ritz, Clarice Dziak, and Kate Purdy, Pre-freshmen Summer Program 2009, Mathematical Modelling for Middle School Classrooms.
Matthew Parno, Honors Program Thesis Advisor 2009, Particle Swarm Optimization with Surroagate Functions
Ruby Fu, Honors Program Summer Research 2008-present and Honors Program Thesis Advisor, The Effects of Heterogeneities on the Solution of Water Management Problems
Ryan Northrup, Honors Program Summer Research 2008, Validating an Interval Arithmetic ODE Algorithm
Andrew Davis, Honors Program Summer Research 2007, The Effects of Grid Resolution on the Solution of Optimal Control Problems in Water Resources and Effects of Saltwater Intrusion on a Coastal Aquifer: Henry’s Problem and the Coastal Region of Hersonissos Crete
Scott LaLonde, McNair Scholars Program 2007, Maximizing the Performance of a Polymer Extrusion Filter via Derivative-free Optimization Methods
Tiffany Terpstra, McNair Scholars Program 2007, Roller Coaster Project: Integrated Mathematics and Physics Curriculum for Middle and High School Students
Michael Petito, Honors Program Thesis Advisor 2007, Adaptive Implicit Temporal Integrationf ODEs with Interval Computations
My research has been
supported by the Department of Education, Army Research Office, the Association
for Women in Mathematics, the American Institute of Mathematics, the NSF, and
LOTS of Coffee.