Introduction
My name is Graham Harper and I am a thirdyear Ph.D. candidate at Colorado State University in the department of Mathematics currently participating in the applied mathematics and dynamical systems track. I am actively researching novel finite element methods for elliptic PDEs in 3d. I have passed all my qualifying exams (Analysis, Linear Algebra, Partial Differential Equations, Numerical Analysis).
Education:
 Colorado State University
 PhD in Applied Mathematics expected May 2020. GPA: 3.937
 Colorado State University  Pueblo
 Graduated Summa Cum Laude May 2015 with a B.S. in Mathematics, and minors in industrial engineering, honors, and leadership studies. GPA: 3.994
Work:
 Colorado State University Department of Mathematics
 Graduate Research Assistant (Fall 2015  Present)
 Pacific Northwest National Lab  Computational Science and Mathematics Division
 Graduate Student Fellow (Summer 2017)
 Mentor: Dr. Bin Zheng
 Funding from the NSF mathematical science graduate internship program
 Colorado State University  Pueblo College of Science and Mathematics
 Peer Tutor at the Math Learning Center (August 2012 – July 2015)
 Mathematics Department Grader (August 2013 – May 2015)
 College Algebra Recitation Leader (August 2013 – May 2015)
 Peer Tutor and Mentor at the PROPEL Center (August 2012 – May 2015)
Relevant Coursework:
 Advanced Numerical Methods for Solving Partial Differential Equations
 Advanced Partial Differential Equations
 Functional Analysis
 Fundamentals of High Performance Computing
 Industrial Mathematics
Teaching Experience:
 Ordinary Differential Equations [MATH 340] Instructor (Fall 2017, Spring 2018)
 Mathematical Algorithms I&II [MATH 151&152] Instructor (Spring 2017)
 Calculus for Biological Scientists [MATH155] Instructor (Fall 2016)
 Calculus for Physical Scientists [MATH160] Instructor (Fall 2015, Spring 2016)
 Student Teacher for Mathematics at Centennial High School (Fall 2014) (CSUPueblo President's Leadership Program Capstone Project)
 College Algebra [MATH121] Recitation Leader (Fall 2013 – Spring 2015)
Strong Programming Experience:
 Matlab (and its opensource clone Octave)
 C++ (and parallel libraries OpenMP, MPI)
 Java
 Wolfram Mathematica
 For specific programming projects, please view my github
Projects:
 Weak Galerkin finite element methods and applications to elliptic PDEs (including reduction and parallelization)
 Contributed to the development of the DarcyLite+ C++ library
 Contributed to LinLite C++ library
 Developing a standalone library for solving finite volume flow problems in parallel as part of GRAD510
Publications:
 James Liu, Simon Tavener, Graham Harper. Schur complement and parallelization of weak Galerkin finite element methods for 3dim elliptic problems (In preparation).
 Graham Harper, Ruishu Wang, Jiangguo Liu, Simon Tavener, Ran Zhang. (In Preparation).
 Graham Harper, James Liu, Simon Tavener, Zhuoran Wang. A 2field Finite Element Solver for Poroelasticity on Triangular Meshes (Submitted).
 Graham Harper, James Liu, Simon Tavener, Bin Zheng. Lowestorder weak Galerkin finite element methods for linear elasticity on rectangular and brick meshes (Submitted).
 Graham Harper, James Liu, Bin Zheng. The THex algorithm and a simple Darcy solver on hexahedral meshes, Proc. Comput. Sci., 108C(2017), pp.19031912.
Presentations:
 The Lowestorder Weak Galerkin Finite Element Method for Linear Elasticity SIAM CSS 2017. October 1, 2017.
 The Lowestorder Weak Galerkin Finite Element Method for Linear Elasticity Pacific Northwest National Laboratory. August 8, 2017.
 The Lowest Order Weak Galerkin Solver for the Darcy Equation on Hexahedral Meshes SIAM FRAMSC 2017. March 4, 2017.
 Ebola, Equilibria, and Epidemiology: A Dynamical Analysis, Undergraduate Thesis Defense, Colorado State University  Pueblo, April 2015.
 Noncollision Singularities in 5Body Newtonian Systems, Independent Study Final Presentation, Colorado State University  Pueblo, April 2014.
 A Visual Tour Through Chaos, Matlab Final Presentation, Colorado State University  Pueblo, April 2014. The final paper for the class is here
Conferences and Professional Memberships:
 SIAM CSS 2017 (Fort Collins, CO)
 CSU Greenslopes Seminar CoOrganizer (Spring 2017)
 SIAM FRAMSC 2017 (Denver, CO)
 SIAM Student Chapter Webmaster (2016 school year)
 SIAM Annual Meeting 2016 (Boston, MA)
 SIAM FRAMSC 2016 (Denver, CO)
 SIAM Student Member (Fall 2015  Present)
 AMS Student Member (Fall 2014  May 2015)
 Lambda Chi Alpha brother from Delta Omega chapter. Served as High Sigma (Academic Chairman) for the Spring 2015 semester.
 MAA MathFest 2014 (Portland, OR)
 MAA MathFest 2013 (Hartford, CT)
 MAA MathFest 2012 (Madison, WI)
Other Awards and Honors:
 Received a score of 20 on the 2014 Putnam Exam (top 900 scores)
 2nd place at the US National Collegiate Mathematics Championship (August 2014, Portland, OR hosted by the ASCM and Dr. Richard Neal)
 4th place at the US National Collegiate Mathematics Championship (August 2013, Hartford, CT hosted by the ASCM and Dr. Richard Neal)
 Outstanding Graduate Award (April 2015, Colorado State University  Pueblo Mathematics Department)
 Threlkeld Prize for Excellence Finalist (April 2015, Colorado State University  Pueblo)

Location and Office Hours
Weber 230 Colorado State University Fort Collins, CO 80521
