  {"id":45249,"date":"2014-09-10T16:44:30","date_gmt":"2014-09-10T16:44:30","guid":{"rendered":"http:\/\/www.augsburg.edu\/mathematics\/?page_id=45249"},"modified":"2024-10-16T18:17:00","modified_gmt":"2024-10-16T18:17:00","slug":"student-research","status":"publish","type":"page","link":"https:\/\/www.augsburg.edu\/mscs\/student-research\/","title":{"rendered":"Student Research"},"content":{"rendered":"<p>The mathematics department at Augsburg has a strong tradition of involving undergraduate students in cutting-edge research projects.\u00a0Whatever your interest, you can certainly find it in the math department. You can be deeply involved in a faculty member&#8217;s research, investigate your own ideas with a faculty mentor, or pursue an internship with some of the many companies in the Twin Cities metropolitan area.\u00a0Below is a sampling of some of the most recent undergraduate research projects.<\/p>\n<hr \/>\n<h2>Becca Freese and Biostatistics<a href=\"http:\/\/www.augsburg.edu\/mathematics\/wp-content\/uploads\/sites\/59\/2014\/09\/sibsgroup.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"alignright wp-image-45253 size-medium\" src=\"http:\/\/www.augsburg.edu\/mathematics\/wp-content\/uploads\/sites\/59\/2014\/09\/sibsgroup-300x176.jpg\" alt=\"Becca and the U of M research group\" width=\"300\" height=\"176\" srcset=\"https:\/\/www.augsburg.edu\/mscs\/wp-content\/uploads\/sites\/59\/2014\/09\/sibsgroup-300x176.jpg 300w, https:\/\/www.augsburg.edu\/mscs\/wp-content\/uploads\/sites\/59\/2014\/09\/sibsgroup-1024x603.jpg 1024w, https:\/\/www.augsburg.edu\/mscs\/wp-content\/uploads\/sites\/59\/2014\/09\/sibsgroup.jpg 1740w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a><\/h2>\n<p>Becca Freese is a junior math and biology minor who spent her summer studying Biostatistics at the U of M.\u00a0 Becca was part of the\u00a0SIBS\u00a0program\u00a0(Summer Institute in Biostatistics), which hosts \u201csummer schools\u201d at several schools across the country.\u00a0 As part of this program Becca spent six weeks living on campus and attending classes and labs, all paid for by the program.\u00a0 The program also included field trips to Medtronic, the Mayo Clinic, and the\u00a0<a href=\"http:\/\/www.vhlab.umn.edu\/index.html\">Visible Heart Laboratory<\/a>\u00a0at the U (a collection of donated human and animal hearts).<\/p>\n<p>Becca and her group worked on a famous data set called the\u00a0<a title=\"MRFIT\" href=\"https:\/\/biolincc.nhlbi.nih.gov\/studies\/mrfit\/\">MRFIT<\/a>\u00a0data,\u00a0as well as a virtual case study about the effects of caffeine.\u00a0 The subjects for the caffeine study were avatars such as the one shown.\u00a0\u00a0Becca would certainly recommend this program to other students interested in the intersections between mathematics and biology, especially students with some kind of statistics background. \u00a0One nice feature of this program is that you can earn Augsburg course credit for the Biostatistics course.<\/p>\n<hr \/>\n<h2>Taybri Irving and Cryptography<img loading=\"lazy\" decoding=\"async\" class=\"alignright wp-image-45369 size-medium\" src=\"http:\/\/www.augsburg.edu\/mathematics\/wp-content\/uploads\/sites\/59\/2017\/08\/IrvingT-200x300.jpg\" alt=\"\" width=\"200\" height=\"300\" srcset=\"https:\/\/www.augsburg.edu\/mscs\/wp-content\/uploads\/sites\/59\/2017\/08\/IrvingT-200x300.jpg 200w, https:\/\/www.augsburg.edu\/mscs\/wp-content\/uploads\/sites\/59\/2017\/08\/IrvingT-768x1151.jpg 768w, https:\/\/www.augsburg.edu\/mscs\/wp-content\/uploads\/sites\/59\/2017\/08\/IrvingT-683x1024.jpg 683w\" sizes=\"auto, (max-width: 200px) 100vw, 200px\" \/><\/h2>\n<p><strong>Taybri Irving<\/strong>\u00a0is a Music major, a Mathematics minor, and a cross-country running star. \u00a0In Summer 2016 she worked with Professor Matt Haines on a project combining Math and Music. \u00a0Here&#8217;s her\u00a0description of the project:<\/p>\n<p><em>Composers from the Baroque period and beyond occasionally used cryptography in composition in the form of cipher motifs. These motifs were not intended to be hidden, but rather a vehicle to create a melody in tribute to another composer. \u00a0The project provides history of the use of cipher motifs, a brief overview of cryptosystems, and then detail the steps taken by the composer\/author\/student scholar (Taybri Irving) in applying a Hill cipher to form an aesthetically pleasing composition with a secret message encoded within.<\/em><\/p>\n<p><em>For this project the aspect of music the encrypted message was applied to was chords. Since Mod 29 is used this requires 29 different chords, which can be done if different inversions count as a different chord. Musically the chords that end up being used to encrypt the message might not make sense or follow the rules of music theory. This is where studying composers like Debussy who used harmony differently was helpful.<\/em><\/p>\n<p>Taybri presented her work at the URGO presentations, and played the music that she had composed.<\/p>\n<hr \/>\n<h2>Duane Pomerleau and 3D Printing<img loading=\"lazy\" decoding=\"async\" class=\"alignright wp-image-45263 size-medium\" src=\"http:\/\/www.augsburg.edu\/mathematics\/wp-content\/uploads\/sites\/59\/2014\/09\/Business-look-199x300.jpg\" alt=\"Duane Pomerleau\" width=\"199\" height=\"300\" srcset=\"https:\/\/www.augsburg.edu\/mscs\/wp-content\/uploads\/sites\/59\/2014\/09\/Business-look-199x300.jpg 199w, https:\/\/www.augsburg.edu\/mscs\/wp-content\/uploads\/sites\/59\/2014\/09\/Business-look.jpg 499w\" sizes=\"auto, (max-width: 199px) 100vw, 199px\" \/><\/h2>\n<p>Duane Pomerleau is a senior math major pursuing teacher certification.\u00a0 Duane spent a big chunk of his summer researching how to incorporate 3D printer technology into the middle school mathematics classroom.<\/p>\n<p>Duane did his research under the guidance of Professor Matt Haines, and was supported by Augsburg\u2019s NASA Space Grant.\u00a0 He ended up working mostly in June and August, taking the time in July to assist with the\u00a0GEMS and GISE\u00a0programs. \u00a0Summer research can be flexible to fit your schedule!<\/p>\n<p>Duane\u2019s goal is to create a lesson plan that will allow students to write a program to create a 3D object of their own design, bringing an exciting hands-on application into the mathematics classroom.\u00a0\u00a0While learning to program and run the 3D printer, Duane created a 3D demonstration of the Pythagorean Theorem, as well as a part for his mountain bike.\u00a0 He also met with\u00a0Timothy Jump, director of a very successful high school robotics team.<br \/>\nDuane will be presenting his work at the Zyzzogeton poster session here at Augsburg, and is working on writing up his lesson plan this academic year.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-45262 size-medium alignnone\" src=\"http:\/\/www.augsburg.edu\/mathematics\/wp-content\/uploads\/sites\/59\/2014\/09\/3D-printing-1b-300x168.jpg\" alt=\"3D printed fractals\" width=\"300\" height=\"168\" srcset=\"https:\/\/www.augsburg.edu\/mscs\/wp-content\/uploads\/sites\/59\/2014\/09\/3D-printing-1b-300x168.jpg 300w, https:\/\/www.augsburg.edu\/mscs\/wp-content\/uploads\/sites\/59\/2014\/09\/3D-printing-1b.jpg 670w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/>\u00a0<img loading=\"lazy\" decoding=\"async\" class=\"wp-image-45264 size-medium alignnone\" src=\"http:\/\/www.augsburg.edu\/mathematics\/wp-content\/uploads\/sites\/59\/2014\/09\/Exact-chain-guide-300x152.jpg\" alt=\"3D printing design for a chain\" width=\"300\" height=\"152\" srcset=\"https:\/\/www.augsburg.edu\/mscs\/wp-content\/uploads\/sites\/59\/2014\/09\/Exact-chain-guide-300x152.jpg 300w, https:\/\/www.augsburg.edu\/mscs\/wp-content\/uploads\/sites\/59\/2014\/09\/Exact-chain-guide-1024x518.jpg 1024w, https:\/\/www.augsburg.edu\/mscs\/wp-content\/uploads\/sites\/59\/2014\/09\/Exact-chain-guide.jpg 1332w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/p>\n<hr \/>\n<h2>Cory Haight-Nali and Dynamical Systems<\/h2>\n<p>Cory Haight-Nal\u00ec, a senior math major, spent his summer on an Augsburg URGO project with Professor Pavel B\u011bl\u00edk<img loading=\"lazy\" decoding=\"async\" class=\"alignright wp-image-45282 size-medium\" src=\"http:\/\/www.augsburg.edu\/mathematics\/wp-content\/uploads\/sites\/59\/2014\/09\/cp1-300x194.jpg\" alt=\"Cory and Pavel showing off their diagrams\" width=\"300\" height=\"194\" srcset=\"https:\/\/www.augsburg.edu\/mscs\/wp-content\/uploads\/sites\/59\/2014\/09\/cp1-300x194.jpg 300w, https:\/\/www.augsburg.edu\/mscs\/wp-content\/uploads\/sites\/59\/2014\/09\/cp1-1024x663.jpg 1024w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/>.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignright wp-image-45283 size-medium\" src=\"http:\/\/www.augsburg.edu\/mathematics\/wp-content\/uploads\/sites\/59\/2014\/09\/cp2-300x225.jpg\" alt=\"Cory and Pavel collaborating\" width=\"300\" height=\"225\" srcset=\"https:\/\/www.augsburg.edu\/mscs\/wp-content\/uploads\/sites\/59\/2014\/09\/cp2-300x225.jpg 300w, https:\/\/www.augsburg.edu\/mscs\/wp-content\/uploads\/sites\/59\/2014\/09\/cp2-1024x768.jpg 1024w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/>Their research topic was using Laguerre\u2019s method to find complex roots of polynomials.\u00a0 Cory began his research by learning background on numerical analysis, complex numbers, and coding in Octave.\u00a0 Cory created some lovely and meaningful images by calculating the basins of attraction for the roots of various polynomials.\u00a0 (The basin of attraction is the set of points that are attracted to a particular root \u2013 each basin has its own color in the pictures). \u00a0Laguerre\u2019s method sometimes fails to find a root of the polynomial, and by looking at their results Cory and Pavel came up with a conjecture about how rotational symmetry relates to the success of the method.\u00a0 They hope to follow up with these questions during the academic year.<\/p>\n<p><a href=\"http:\/\/www.augsburg.edu\/urgo\/\">URGO<\/a>\u00a0is a competitive, fully-funded, 10-week, on-campus summer research program for Augsburg undergraduates.\u00a0 Cory will be presenting his work in a math colloquium on Wednesday, October 8 (4:30 pm in Old Main 105), as well as at Zyzzogeton and other venues.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-45277 size-thumbnail\" src=\"http:\/\/www.augsburg.edu\/mathematics\/wp-content\/uploads\/sites\/59\/2014\/09\/DoubleMinusWithBorderm12ANDa12ANDa23ANDres1300-e1507045680847-150x150.png\" alt=\"Julia Set\" width=\"150\" height=\"150\" srcset=\"https:\/\/www.augsburg.edu\/mscs\/wp-content\/uploads\/sites\/59\/2014\/09\/DoubleMinusWithBorderm12ANDa12ANDa23ANDres1300-e1507045680847-150x150.png 150w, https:\/\/www.augsburg.edu\/mscs\/wp-content\/uploads\/sites\/59\/2014\/09\/DoubleMinusWithBorderm12ANDa12ANDa23ANDres1300-e1507045680847-300x297.png 300w\" sizes=\"auto, (max-width: 150px) 100vw, 150px\" \/><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-45273 size-thumbnail\" src=\"http:\/\/www.augsburg.edu\/mathematics\/wp-content\/uploads\/sites\/59\/2014\/09\/5roots-e1507045707615-150x150.png\" alt=\"Julia Set for 5 roots\" width=\"150\" height=\"150\" \/><\/p>\n<p>&nbsp;<\/p>\n<hr \/>\n<h2>Taylor Kuramoto and Mathematical Biology<img loading=\"lazy\" decoding=\"async\" class=\"alignright wp-image-45291 \" src=\"http:\/\/www.augsburg.edu\/mathematics\/wp-content\/uploads\/sites\/59\/2014\/09\/Kuramoto_SRE_Friends1-300x225.jpg\" alt=\"Taylor Kuramoto (right) and her research buddies\" width=\"259\" height=\"194\" srcset=\"https:\/\/www.augsburg.edu\/mscs\/wp-content\/uploads\/sites\/59\/2014\/09\/Kuramoto_SRE_Friends1-300x225.jpg 300w, https:\/\/www.augsburg.edu\/mscs\/wp-content\/uploads\/sites\/59\/2014\/09\/Kuramoto_SRE_Friends1.jpg 720w\" sizes=\"auto, (max-width: 259px) 100vw, 259px\" \/><\/h2>\n<p>Taylor Kuramoto is a senior math major who spent the summer in Tennessee as part of the\u00a0<a href=\"http:\/\/www.nimbios.org\/\">NIMBIOS<\/a>\u00a0program: The National Institute for Mathematical and Biological Synthesis.<\/p>\n<p><a href=\"http:\/\/www.augsburg.edu\/mathematics\/wp-content\/uploads\/sites\/59\/2014\/09\/ActiveConnectedNetwork.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-45289 size-thumbnail alignright\" src=\"http:\/\/www.augsburg.edu\/mathematics\/wp-content\/uploads\/sites\/59\/2014\/09\/ActiveConnectedNetwork-150x150.jpg\" alt=\"Network showing connections between cows\" width=\"150\" height=\"150\" \/><\/a>Taylor was one of only eighteen undergraduates from across the country chosen for this fully funded 8-week summer research program.\u00a0 The NIMBIOS program pays a stipend in addition to travel and lodging expenses.\u00a0 At NIMBIOS Taylor learned about statistics and differential equations, along with programming and disease biology. Specifically, Taylor was part of a group modeling the transmission of bovine respiratory disease among cattle herds.\u00a0\u00a0She helped to produce a report on their model, and will be presenting her work at conferences in Los Angeles (SACNAS) and in Tennessee (these trips will also be fully funded).<\/p>\n<p>&nbsp;<\/p>\n<hr \/>\n<h3>CHUE XUE LEE (&#8217;11)<\/h3>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignright size-medium wp-image-45206\" src=\"http:\/\/www.augsburg.edu\/mathematics\/wp-content\/uploads\/sites\/59\/2014\/04\/chueResearch-300x168.jpeg\" alt=\"chueResearch\" width=\"300\" height=\"168\" srcset=\"https:\/\/www.augsburg.edu\/mscs\/wp-content\/uploads\/sites\/59\/2014\/04\/chueResearch-300x168.jpeg 300w, https:\/\/www.augsburg.edu\/mscs\/wp-content\/uploads\/sites\/59\/2014\/04\/chueResearch-1024x576.jpeg 1024w, https:\/\/www.augsburg.edu\/mscs\/wp-content\/uploads\/sites\/59\/2014\/04\/chueResearch.jpeg 1920w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>Project title:\u00a0Modeling Heat-Shrinkable Film<\/p>\n<p><span style=\"line-height: 1.5em;\">Faculty mentor\/company\/sponsor:\u00a0\u00a0Dr. Pavel Belik, Mathematics Department<\/span><\/p>\n<p>Project Funding:\u00a03M and Dean&#8217;s office<\/p>\n<p>Description of project:\u00a0A computational model developed previously is utilized to study the behavior of a polymeric thin film that undergoes a shape change under a temperature change. In particular, an attempt is made to discover whether there are nonzero threshold values for the size of the heated region and the intensity of the heat below which the film&#8217;s shape remains unchanged.<\/p>\n<p>Best part about your project?\u00a0The best part of the project is the learning experience. I learned so much from the project over the summer. I am very thankful that I was given the opportunity to work on this project with Pavel Belik.<\/p>\n<hr \/>\n<h3>ANDREW BERGESON (&#8217;09)<\/h3>\n<p><span style=\"line-height: 1.5em;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignright wp-image-45211 size-medium\" src=\"http:\/\/www.augsburg.edu\/mathematics\/wp-content\/uploads\/sites\/59\/2014\/04\/IMG_1328-300x225.jpeg\" alt=\"IMG_1328\" width=\"300\" height=\"225\" srcset=\"https:\/\/www.augsburg.edu\/mscs\/wp-content\/uploads\/sites\/59\/2014\/04\/IMG_1328-300x225.jpeg 300w, https:\/\/www.augsburg.edu\/mscs\/wp-content\/uploads\/sites\/59\/2014\/04\/IMG_1328-1024x768.jpeg 1024w, https:\/\/www.augsburg.edu\/mscs\/wp-content\/uploads\/sites\/59\/2014\/04\/IMG_1328.jpeg 2048w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/>Project title:\u00a0Modeling Carbon Fluxes in the Environment<\/span><\/p>\n<p>Faculty mentor\/company\/sponsor:\u00a0\u00a0Dr. John Zobitz, Mathematics Department<\/p>\n<p>Project Funding:\u00a0NASA space Grant<\/p>\n<p>Description of project:\u00a0By using satellite and tower based measurements, it was possible to make a multi-year model of Net Ecosystem exchange.<\/p>\n<p>Best part about your project?\u00a0I was able to learn new skills in Modeling using a computer.\u00a0 I also gained greater knowledge of the math concepts I have learned in class and made a good relationship with a faculty member.<\/p>\n<p>Words of wisdom?\u00a0Research is a great way to use the knowledge you learn in class! \u00a0Doing research gives you a better understanding of concepts and also a greater appreciation for what you&#8217;ve learned.<\/p>\n<hr \/>\n<h3>AL GARVER (&#8217;09)<\/h3>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignright size-full wp-image-45208\" src=\"http:\/\/www.augsburg.edu\/mathematics\/wp-content\/uploads\/sites\/59\/2014\/04\/garver_08.jpeg\" alt=\"garver_08\" width=\"216\" height=\"212\" \/>Project title:\u00a0&#8220;An Econometric Analysis of Student Achievement in Minnesota&#8221;<\/p>\n<p>Faculty mentor\/company\/sponsor:\u00a0Dr. Stella K. Hofrenning, Economics Department<\/p>\n<p>Project Funding:\u00a0<a href=\"http:\/\/www.augsburg.edu\/urgo\/\" target=\"_blank\" rel=\"noopener noreferrer\">URGO<\/a><\/p>\n<p>Description of project:\u00a0I investigated the impact of different variables on eighth grade students&#8217; performance on the Minnesota Basic Skills Test.<\/p>\n<p>Best part of project:\u00a0My favorite part of the project was conducting an exhaustive literature review and getting a sense of all the research relating into the topic.<\/p>\n<p>Words of wisdom?\u00a0\u00a0The URGO summer research program was a great introduction to being part of a large research project.\u00a0 I think the experience should be had be all students.<\/p>\n<hr \/>\n<h3>ASHLEY GRUHLKE (&#8217;09)<\/h3>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignright size-medium wp-image-45209\" src=\"http:\/\/www.augsburg.edu\/mathematics\/wp-content\/uploads\/sites\/59\/2014\/04\/gruhlke-225x300.png\" alt=\"gruhlke\" width=\"225\" height=\"300\" srcset=\"https:\/\/www.augsburg.edu\/mscs\/wp-content\/uploads\/sites\/59\/2014\/04\/gruhlke-225x300.png 225w, https:\/\/www.augsburg.edu\/mscs\/wp-content\/uploads\/sites\/59\/2014\/04\/gruhlke.png 489w\" sizes=\"auto, (max-width: 225px) 100vw, 225px\" \/>Project title:\u00a0Modeling Learning algebra in context: MAT 105 Applied Algebra<\/p>\n<p>Faculty mentor\/company\/sponsor:\u00a0\u00a0Dr. Su Dor\u00e9e, Mathematics Department<\/p>\n<p>Project Funding:\u00a0<a href=\"http:\/\/www.augsburg.edu\/urgo\/\" target=\"_blank\" rel=\"noopener noreferrer\">Summer URGO funds<\/a><\/p>\n<p>Description of project:\u00a0This project was a collaboration to update and rewrite the MAT 105, Applied Algebra course textbook. The main focus of the updates was the utilization and incorporation of contextual mathematics.<\/p>\n<p>Best part about your project?\u00a0The best part of this project was the opportunity to expand my own philosophies on mathematics education. With my research I will be able to expand on these ideas in the classroom, and in future research opportunities.<\/p>\n<p>Words of wisdom?\u00a0If you are even a little curious about the research possibilities you could be a part of, go for it! Doing research in this type of setting is more than worthwhile. Being a part of such a great opportunity looks good on resumes, shows that you have a drive for deeper comprehension, and you can get paid. You really can\u2019t pass it up.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>The mathematics department at Augsburg has a strong tradition of involving undergraduate students in cutting-edge research projects.\u00a0Whatever your interest, you can certainly find it in the math department. You can be deeply involved in a faculty member&#8217;s research, investigate your own ideas with a faculty mentor, or pursue an internship with some of the many &#8230;<\/p>\n","protected":false},"author":5,"featured_media":0,"parent":0,"menu_order":4,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-45249","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/www.augsburg.edu\/mscs\/wp-json\/wp\/v2\/pages\/45249","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.augsburg.edu\/mscs\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.augsburg.edu\/mscs\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.augsburg.edu\/mscs\/wp-json\/wp\/v2\/users\/5"}],"replies":[{"embeddable":true,"href":"https:\/\/www.augsburg.edu\/mscs\/wp-json\/wp\/v2\/comments?post=45249"}],"version-history":[{"count":11,"href":"https:\/\/www.augsburg.edu\/mscs\/wp-json\/wp\/v2\/pages\/45249\/revisions"}],"predecessor-version":[{"id":45513,"href":"https:\/\/www.augsburg.edu\/mscs\/wp-json\/wp\/v2\/pages\/45249\/revisions\/45513"}],"wp:attachment":[{"href":"https:\/\/www.augsburg.edu\/mscs\/wp-json\/wp\/v2\/media?parent=45249"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}