Paul Jenkins, Mathematics In 2017 and 2018, the following students participated in the BYU Computational Number Theory research group under my direction and produced the following deliverables. 1. Hankun Ko, BYU PhD student in mathematics (PhD 2019 expected) a. Spoke at 2017 Student Research Conference b. Spoke at 2018 Student Research Conference c. Attended 31st […]

## Mathematical modeling of cell-cell and cell-extracellular matrix interactions

Dr. Emily Evans, Department of Mathematics Scientific Merit of Project Understanding cell-cell and cell-extracellular interactions is important because these inter- actions play a role in wound healing, developmental processes, and pathological conditions such as cancer. The work done for this project is in some sense joint work with biologists, in the sense that biologists perform […]

## Geometric Optimization, Analysis, and Design

Faculty Advisor: Denise Halverson 1. Evaluation of how well the academic objectives of the proposal were met The goals for the mentoring environment were reached: Academic Development – Each student had the opportunity to work on a cutting edge research problem, as indicated below. Papers are in various stages of completion, a few submitted or […]

## BYU COMPUTATIONAL NUMBER THEORY RESEARCH GROUP DAVID CARDON, DARRIN DOUD, PAUL JENKINS, AND PACE NIELSEN

Pace Nielsen, Mathematics Evaluation of Academic Objectives In the years 2013-2014 we held a weekly seminar in which every supported student gave presentations at least once (but usually twice or more) per semester. This gave the students opportunities to learn and develop presentations skills, which will help them later in their careers. It also gave […]

## Computational modeling of wave propagation in metamaterials

Shue-Sum Chow, Mathematics Academic Objectives The project is concerned with the study of wave propagation in metamaterials. We recall the work plan described in the original proposal and provide an evaluation of the academic objectives. Gathering of information about existing mathematical models for various metamaterials and related references on the mathematical properties of FDTD and […]

## BYU Computational Number Theory Research Group

Dr. Paul Jenkins, Department of Mathematics The computational number theory group has clearly been a success, with students writing papers, giving conference presentations, winning prestigious national fellowships, and going off to strong PhD programs in mathematics. The weekly seminar has helped students learn presentation skills and learn more mathematics, and has provided a convenient entry […]

## Inverse Spectral Problems for Graphs

Dr. Wayne Barrett, Department of Mathematics Research Results/Findings This MEG grant made it possible to support several student research activ- ities from Spring 2009 through Winter 2010. It funded one of four undergraduate students that I mentored sum- mer 2009 in the BYU Mathematics Departmentâ€™s National Science Foundation-sponsored Research Experiences for Undergraduates (REU) in accordance […]