Doctor of Philosophy, Aeronautics & Astronautics• *May 2013*

My doctoral research focused on developing the foundations of goal-oriented inference, a novel field of study bringing together model reduction, numerical linear algebra, and large-scale inference. Under advisement of Professor Karen Willcox I completed the thesis entitled Goal-Oriented Inference: Theoretical Foundations and Application to Carbon Capture and Storage. I primarily studied aerospace computational engineering and supplemented that with a minor in estimation and control.

Master of Science, Computation for Design & Optimization• *February 2009*

This multidisciplinary degree offered by the MIT School of Engineering consists of study in computational engineering across mathematics, mechanical engineering, aerospace engineering, operations research, and computer science. My thesis entitled Parameter and State Model Reduction for Bayesian Statistical Inverse Problems extended reduced basis methods to the parameter space to speed up inference of high-dimensional parameters in subsurface identification and source inversion problems.

Bachelor of Science, Aerospace Engineering• *June 2007*

Bachelor of Science, Mathematics• *June 2007*

Computational Mathematician & Educational Innovator• *June 2015 - Present*

Since June 2015 I have been working as an independent contractor doing research in computational mathematics and developing new software technologies for digital education.

Data Scientist• *February 2014 - May 2015*

As a data scientist I supported top-level policymaker decision making by developing new methodologies to make inferences in complex data streams from disparate sources. On two occasions, I was recognized with Exceptional Performance Awards for my analytic leadership and ability to draw significant contributions from my colleagues. Supervisors commended my exemplary mission dedication and accountability and cited my strong bias toward collaboration.

Postdoctoral Fellow• *June 2013 - January 2014*

As a postdoctoral fellow in the School of Engineering, I split time between developing the MIT Department of Aeronautics & Astronautic's first massive open online course (MOOC) entitled 16.100x: Introduction to Aerodynamics and developing the MIT On-campus Educational System (MIToces). MIToces is a web application demonstrating the networked interconnectivity of modular learning outcomes in the MIT engineering curriculum. It was a natural follow-on to Crosslinks, a topic-based pre/post-requisite mapping wiki, which I also co-founded.

Graduate Research Assistant• *September 2007 - May 2013*

During my doctoral and masters studies, I contributed to research in computational science and engineering in several ways. I developed new goal-oriented inference algorithms that exploit final design goals to accelerate solution of large-scale inverse problems constrained by partial differential equations. Theoretical foundations were established in the context of linear systems and an effective approach for nonlinear systems was demonstrated. I also developed a new method for model reduction that reduces parameter space in systems with high-dimensional parametric inputs; as a result, statistical inference approaches like Markov chain Monte Carlo (MCMC) were then possible. These research thrusts led to numerous publications in top research journals in the field including the SIAM Journal on Scientific Computing, SIAM Review, and International Journal of Numerical Methods in Fluids.

Mathematics & Modeling Group Intern• *May 2009 - August 2009*

As a summer intern in the Mathematics & Modeling Group I accelerated a 3-D forward model electromagnetics code by implementing greedy adaptive shifts in rational Krylov subspace reduction. The new algorithm is utilized in the subsurface identification problem in exploration for deep hydrocarbons. The results were published in the SIAM Journal on Scientific Computing.

Computer Science Research Institute Intern• *May 2007 - August 2007*

During my summer at the Computer Science Research Institute (CSRI) at Sandia National Laboratories I implemented model reduction and optimization functionality in a system for rapid developmend of high-performance finite element solutions of partial differential equations. We demonstrated Hessian-based model reduction techniques for deterministic source inversional problems in urban settings.

Engineering Intern• *May 2006 - August 2006*

During the summer after my junior year, I designed shape-memory alloy range-extending wings for mid-range missiles on a contract for the US Army. My responsibilities included MATLAB programming, Fortran90 interfacing, concept verification, and model prototyping and testing.

Software Developer & Instructor, 16.100x: Introduction to Aerodynamics• *June 2013 - December 2013*

As a software developer for the first massive open online course (MOOC) offered by the MIT Department of Aeronautics & Astronautics, I created a LaTeX-based edX course publishing system that allowed the professor to develop notes, embedded exercises, problem set questions, and exams entirely within LaTeX. As an instructor I created problem set questions and exercises and helped students through interaction in the online forums.

MIToces Creator & Developer• *June 2013 - January 2014*

In 2013 I created the MIT On-campus Educational System (MIToces), a web application mapping the learning outcomes of the MIT engineering curriculum to a directed acyclic graph. Learning outcomes are self-contained tasks that indicate a student's understanding. MIToces can be used to map a student's understanding as a coloring of the nodes of the graph, and it can be used to re-organize the curriculum by building modular components together to customize a degree program.

Learning Management System Creator & Developer• *September 2011 - May 2012*

Funding by the MIT Council on Educational Technology supported efforts to develop a new learning management system to support a flipped classroom for 16.90 Computational Methods in Aerospace Engineering. I developed a web application that served online notes, short video tutorials, and included embedded exercises to test students' understanding of modular concepts. Professors were able to review the students' scores in advance of lectures to adapt their focus to current misunderstandings. The system I developed informed the creation of the edX platform that is now used worldwide.

Crosslinks Co-creator & Developer• *Spring 2011 - May 2013*

Crosslinks provides student-generated topic-based linkages between different topics taught at MIT. Relying on the stable subject records of MIT's OpenCourseWare, Crosslinks is one representation of the learning graph that undergraduate students traverse; topics are represented as nodes connected to each other by pre- and post-requisite directed edges. Students use Crosslinks to put past and current coursework into the context of future endeavors, review pre-requisite concepts important to current coursework, and discover connections between seemingly disparate concepts across multiple engineering disciplines.

Graduate Teaching Assistant• *February 2010 - May 2010*

As a graduate teaching assistant I lectured, led weekly recitations, designed projects and problem sets, and administered oral examinations for the junior- and senior-level undergraduate course 16.90 Computational Methods in Aerospace Engineering.

Mathlet Designer• *January 2010 - January 2011*

I designed and coordinated the development of the eigenvalue stability mathlet for pedagogical use in courses on numerical methods. The hands-on interaction with mathematical concepts permits students to dynamically explore what is otherwise a cumbersome foreign concept.

Graduate Supervisor• *September 2008 - December 2008*

As a UROP supervisor, I guided an undergraduate in the investigation of higher-order methods for the solution of nonlinear algebraic equations. We demonstrated cubic convergence of Euler's method for scalars and explored complex iterations in a comparison with Newton's method.

Nonlinear goal-oriented Bayesian inference: Application to carbon capture and storage

Goal-oriented inference: Approach, linear theory, and application to advection-diffusion

Goal-oriented inference: Approach, linear theory, and application to advection-diffusion

Hessian-based model reduction: Large-scale inversion and prediction

Interactive applets in calculus and engineering courses

Parameter and state model reduction for large-scale statistical inverse problems

On adaptive choice of shifts in rational Krylov subspace reduction of evolutionary problems

Goal-oriented Inference for Nonlinear PDE-constrained Inverse Problems

Goal-oriented Inference for PDEs with Distributed Parameters

A Control-theoretic Approach to Inference for Prediction

On the Maximum Entropy Solution to PDE-based Inverse Problems

Optimal Design Under Uncertainty

Model Reduction for Partial Differential Equations with Distributed Parameters

Acceleration of 3-D Electromagnetics by Adaptive Shifts

Parameter and State Model Reduction for Large-scale Statistical Inverse Problems

Parameter and State Model Reduction for Large-scale Statistical Inverse Problems

Model Reduction for Uncertainty Quantification in Large-scale Inverse Problems

Parameter and State Model Reduction for Large-scale Statistical Inverse Problems

Reduced-order Modelling for Statistical Inverse Problems in Groundwater Flows

Model Reduction for Uncertainty Quantification in Large-scale Statistical Inverse Problems with High-dimensional Parametric Inputs

Member• *2007 - Present*

Member• *2009 - 2011*