{"id":51,"date":"2018-08-24T15:40:07","date_gmt":"2018-08-24T15:40:07","guid":{"rendered":"http:\/\/sites.msudenver.edu\/aschaef6\/?page_id=51"},"modified":"2022-08-10T22:30:13","modified_gmt":"2022-08-10T22:30:13","slug":"undergradresearch","status":"publish","type":"page","link":"https:\/\/sites.msudenver.edu\/aschaef6\/undergradresearch\/","title":{"rendered":"Undergraduate Research and Independent Studies"},"content":{"rendered":"
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Bianco and Foster before their presentation at Pikes Peak 2019, US Air Force Academy<\/figcaption><\/figure>\n
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Albee and Roon before their presentation at Mathfest 2017 in Chicago.<\/figcaption><\/figure>\n
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Barnes and Parker before their presentation at Pikes Peak 2017, in Colorado Springs.<\/figcaption><\/figure>\n

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Undergraduate research projects and independent studies are excellent additional preparation for graduate school or working in teams in your future career.\u00a0 They are a fun way to see mathematics outside of the ordinary undergraduate course catalog and to hone your mathematical thinking, writing, and presentation skills.\u00a0 Projects like this often lead to presentations at the MCS Poster Presentations, MSU Denver Undergraduate Research Conference, statewide conferences like Pikes Peak, or even nation-wide conferences like Mathfest or JMM.\u00a0 Some even lead to publications!<\/p>\n

Official REUs (Research Experience for Undergraduates) at other universities are a prestigious and extremely worthwhile undertaking during the summer, but you can also take part in research projects with faculty (like me!) right here at MSU Denver during the semester.<\/p>\n

This Semester:<\/strong><\/p>\n

During Summer 2022, I am working with undergraduate student Brian Moore on a research project on the relationship between defect groups and the behavior of characters under Galois automorphisms, am continuing a similar project with former student Frank Pryor, and began another related project with Colin Downs, Sam Han, and Frank Pryor.<\/p>\n

Intrigued???<\/strong><\/p>\n

If you are an MSU Denver undergraduate student interested in doing a research project or independent study, I would love to work with you!\u00a0Send me an email or stop by my office to chat.<\/p>\n

I often run a course on representation theory that can lead to a (paid!) research project.\u00a0 (The prereqs for this would be Abstract Algebra 1 and Linear Algebra).\u00a0 But, if that doesn’t interest you or you don’t have the prereqs, I am definitely open to helping you look into other projects.<\/p>\n

Here is what I’ve done in the past with undergraduates:<\/p>\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
Term<\/strong><\/td>\nStudents<\/strong><\/td>\nProject<\/strong><\/td>\nExtra Outcomes<\/strong><\/td>\n<\/tr>\n
Summer 2022<\/td>\nColin Downs; Sam Han; Frank Pryor<\/td>\nResearch Project: Galois-Equivariant Blockwise McKay Bijections for Sp(4,2^a)<\/em><\/td>\n<\/td>\n<\/tr>\n
Spring 2022-Summer 2022<\/td>\nBrian Moore<\/td>\nResearch Project: Galois<\/em> Automorphisms, Defect Groups, and Characters III<\/em><\/td>\npresentation at MSU Denver’s Undergrad Research Conference<\/td>\n<\/tr>\n
Spring 2022<\/td>\nColin Downs; Sam Han<\/td>\nIndependent Study: Representations of Finite Groups<\/em><\/td>\n<\/td>\n<\/tr>\n
Fall 2021<\/td>\nBrian Moore<\/td>\nIndependent Study: Representations of Finite Groups<\/em><\/td>\n<\/td>\n<\/tr>\n
Spring 2021-Summer 2022<\/td>\nAndrew Pe\u00f1a; Frank Pryor<\/td>\nResearch Project: Galois<\/em> Automorphisms, Defect Groups, and Characters II<\/em><\/td>\npresentation at MSU Denver’s Undergrad Research Conference; presentation at JMM; paper submitted for publication!<\/td>\n<\/tr>\n
Fall 2020<\/td>\nAndrew Pe\u00f1a; Frank Pryor<\/td>\nIndependent Study: Representations of Finite Groups<\/em><\/td>\n<\/td>\n<\/tr>\n
Fall 2020-Spring 2021<\/td>\nCourtney Fleming; Joseph Ruiz<\/td>\nContinued Research Project: Galois<\/em> Automorphisms, Defect Groups, and Characters<\/em><\/td>\npresentation at 2021 Rocky Mountain MAA Sectional Meeting<\/td>\n<\/tr>\n
Spring 2020<\/td>\nCourtney Fleming; Leland Minaker; Joseph Ruiz; Gabe Vigil<\/td>\nIndependent Study: Investigations in Category Theory\u00a0<\/em><\/td>\nposter at MSU Denver Undergrad Research Conference<\/td>\n<\/tr>\n
Spring 2020<\/td>\nCourtney Fleming; Leland Minaker; Joseph Ruiz; Alex Tusa; Gabe Vigil<\/td>\nResearch Project: Galois<\/em> Automorphisms, Defect Groups, and Characters<\/em><\/td>\npresentation at MSU Denver’s Undergrad Research Conference<\/td>\n<\/tr>\n
Fall 2019<\/td>\nCourtney Fleming; Leland Minaker; Joseph Ruiz; Alex Tusa; Gabe Vigil<\/td>\nIndependent Study: Representations of Finite Groups<\/em><\/td>\n<\/td>\n<\/tr>\n
Spring 2019<\/td>\nCourtney Fleming; Keegan Karbach<\/td>\nIndependent Study: Representation Theory in Physics\u00a0<\/em><\/td>\nPoster at MSU Denver’s Undergrad Research Conference<\/td>\n<\/tr>\n
Spring 2019<\/td>\nBrittany Bianco; Elizabeth Foster<\/td>\nResearch Project:\u00a0Automorphisms and Characters of Finite Groups<\/em><\/td>\nPresentations at Nebraska Conf for Undergrad Women in Math 2019; Pikes Peak 2019; MSU Denver’s Undergrad Research Conference; and MAA Mathfest 2019 in Cincinnati<\/td>\n<\/tr>\n
Fall 2018<\/td>\nBrittany Bianco; Elizabeth Foster<\/td>\nIndependent Study: Representations of Finite Groups<\/em><\/td>\n<\/td>\n<\/tr>\n
Summer 2017-Fall 2017<\/td>\nKempton Albee; Eric Roon<\/td>\nResearch Project:\u00a0Irreducible Character Restrictions<\/em><\/td>\nPaper published; presentation at MAA Mathfest 2017, Chicago (winners of MAA “Outstanding Presentation” award!)<\/td>\n<\/tr>\n
Spring 2017<\/td>\nKempton Albee; Eric Roon<\/td>\nIndependent Study: Representations of Finite Groups<\/em><\/td>\n<\/td>\n<\/tr>\n
Fall 2016 – Spring 2017<\/td>\nMike Barnes; Aaron Parker<\/td>\nResearch Project:\u00a0Irreducible Character Restrictions<\/em><\/td>\nPaper published; presentations at Pikes Peak 2017 and MSU Denver’s Undergrad Research Conference<\/td>\n<\/tr>\n
Fall 2016<\/td>\nDevon Bata; Jacquelyn Combellick; Jacob Wiley<\/td>\nIndependent Study: Representations of Finite Groups<\/em><\/td>\n<\/td>\n<\/tr>\n
Spring 2016<\/td>\nMike Barnes; Matt Lum; Aaron Parker<\/td>\n\u00a0Independent Study: Representations of Finite Groups<\/em><\/td>\n<\/td>\n<\/tr>\n
Spring 2016<\/td>\nEric Roon<\/td>\n\u00a0Research Project: Permutation Groups in Music Theory<\/em><\/td>\nPaper published; presentation at MSU Denver’s Undergrad Research Conference<\/td>\n<\/tr>\n
Fall 2015<\/td>\nEthan Johnston; Greg Mah<\/td>\n\u00a0Independent Study: Cryptography and<\/em>\u00a0Coding Theory\u00a0<\/em><\/td>\n<\/td>\n<\/tr>\n
Spring 2015<\/td>\nIsabel Corona; Bryan Curtis; Maggie Gourlay; Ethan Kowalenko; Alex Myers<\/td>\n\u00a0Independent Study: Representations of Finite Groups<\/em><\/td>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

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          Undergraduate research projects and independent studies are excellent additional preparation for graduate school or working in teams in your future career.\u00a0 They are a fun way to see mathematics outside of the ordinary undergraduate course catalog and to hone your mathematical thinking, writing, and presentation skills.\u00a0 Projects like this often … <\/p>\n

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