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The Office of Undergraduate Education through its URSA Engage program has funded seven undergraduate students to work with three mathematics faculty on mathematical research projects. URSA Engage is designed to establish mentoring relationships for undergraduates early in their academic programs at OSU. The goal is to provide first and second year students, or transfer students in their first year at OSU, opportunities to pursue research under the guidance of an OSU faculty member. Projects that integrate interdisciplinary work are particularly encouraged. Project summaries were drafted by faculty and posted on the URSA Engage website. Interested students were encouraged to meet with faculty to discuss details. While mentors can help students formulate ideas, the applications were written in the students’ own words. Students were assessed on their ability to articulate the professional and personal impacts of the project and their grasp of their role in the project and what needs to be accomplished.

Congratulations to Alan Schultz and Cooper Nicolaysen who will work with mathematics instructor, Dr. Hoewoon Kim; Darwin Nesheim, Abigail Bernasconi and Elizabeth Rayona Riutta who will work with Visiting Assistant Professor Blessing Emerenini; and to Nathanael Bowles and Anneli Brackbill who will both work with Professor Malgo Peszynska.

The students will meet weekly with the mentors for 15 weeks (mid-Winter 2019 to the end of Spring 2019). Each participant will be expected to present their results at the Celebrating Undergrad Excellence Symposium in May or the Summer Undergraduate Research Symposium in September. Students will also participate in a professional development workshop sponsored by the URSA Engage program.

The project supervised by Dr. Kim involves solving the linearized incompressible Navier-Stokes equations. The first component of the work is developing a mathematical and physical understanding of the motion of incompressible fluids (e.g., water) in the interior and exterior of a sphere through basic differential equations such as the diffusion equation and the Laplace equation. Secondly the stability problem deals with the following interesting question: “under what conditions can we show that a mathematical object which satisfies a certain property approximately must be close to another object which satisfies the property exactly?"

Alan Schultz is a freshman physics major. After graduation, he is thinking about either going to graduate school or joining the United States Air Force. Cooper Nicolaysen is a sophomore physics and math double major.

"I live by the idea that we must challenge ourselves and we must do that by taking on the most impossible tasks!" -- Cooper Nicolaysen

Dr. Emerenini’s project is related to the mathematical modeling of super-spreading of infectious diseases, specifically relating to disease transmissions, persistence and extinction. The projects will involve significant efforts in modeling (creating equations), analysis (understanding properties of solutions) and simulations (solving numerically).

Dr. Emerenini's URSA Engage research group (from left to right): Darwin Nesheim, Abigail Bernasconi, Elizabeth Riutta and Blessing Emerenini.

Elizabeth Riutta is currently a freshman biophysics and biochemistry major but is considering a switch to mathematics. She is interested in the medical profession and plans on going into emergency room surgery as a career path. Abigail Bernasconi is a sophomore double major in Public Health and German, with a minor in statistics. She is currently studying abroad at the Universität Tübingen near Stuttgart, Germany. After graduation, Abigail plans to go on to graduate school and study epidemiology. Darwin Nesheim is a sophomore majoring in mathematics.

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I have been interested in mathematical modeling for a long time and seeing this opportunity come up was fantastic!" --Darwin Nesheim

The projects supervised by Prof. Peszynska are related to phase transitions and porous media flow. The first project involves understanding the effects of climate change on the thawing and refreezing of permafrost. The second project is to create a model to predict the spread of nuclear waste through different mediums: air, water, and several types of soil. Each project entails examining existing data, then creating a mathematical model, and finally simulating the solutions in MATLAB.

Nathanael Bowles is a first year transfer student majoring in math. Nathanael went to an art focused middle school and high school. So going from theater, choir, and photography to mathematics has been a very interesting process for him. Anneli Brackbill is a double major in nuclear engineering and mathematics (in the Applied and Computational Mathematics option). She plans to go to graduate school after graduation.

**Feature photo: (from left to right) Anneli Brackbill, Cooper Nicolaysen, Alan Schultz, Darwin Nesheim, Nathanael Bowles, Elizabeth Riutta (missing: Abigail Bernasconi). Photo session arranged by David Wing. Photos taken at the Student Experience Center.
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This article was created by the Newsletter/Media Committee with photo editing by Joy King. Please email alumninews@math.oregonstate.edu with any comments.**