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George Visiting Assistant Professor Application Letter","","University of Kentucky College of Arts & Sciences mathematics researcher Courtney B. George submits an application letter to join the University of California, Riverside as a Visiting Assistant Professor. The letter details research on the interaction of algebraic and tropical geometry, focusing on projectivized toric vector bundles and Mori dream spaces, including combinatorial classification approaches and an algorithm in Macaulay2 for Cox ring generators and relations. It also highlights nine semesters of teaching experience, student support strategies such as specifications-based and standards-based grading, and recognition including the 2022 UK Arts & Sciences Outstanding TA award, along with DEI leadership and community advocacy.",{"@graph":63,"@context":119},[64,80,102],{"@type":65,"itemListElement":66},"BreadcrumbList",[67,71,74,77],{"item":68,"name":69,"@type":70,"position":9},"https://docshare.wps.com","Home","ListItem",{"item":72,"name":10,"@type":70,"position":73},"https://docshare.wps.com/template/",2,{"item":75,"name":41,"@type":70,"position":76},"https://docshare.wps.com/template/letters/",3,{"item":78,"name":59,"@type":70,"position":79},"https://docshare.wps.com/template/courtney-b-george-visiting-assistant-professor-application-letter/254999/",4,{"url":78,"name":59,"@type":81,"image":82,"author":87,"headline":59,"publisher":90,"fileFormat":93,"inLanguage":57,"description":61,"dateModified":94,"datePublished":95,"encodingFormat":93,"isAccessibleForFree":96,"interactionStatistic":97},"DigitalDocument",{"url":83,"@type":84,"width":85,"height":86},"https://docshare.wps.com/thumbnails/courtney-b-george-visiting-assistant-professor-application-letter/254999.png","ImageObject",442,249,{"name":88,"@type":89},"Tawan","Person",{"url":68,"name":91,"@type":92},"DocShare","Organization","application/pdf","2026-10-26","2026-09-13",true,{"@type":98,"interactionType":99,"userInteractionCount":101},"InteractionCounter",{"@type":100},"ViewAction",9,{"@type":103,"mainEntity":104},"FAQPage",[105,111,115],{"name":106,"@type":107,"acceptedAnswer":108},"What position does Courtney B. George apply for?","Question",{"text":109,"@type":110},"She applies for a Visiting Assistant Professor position in the Department of Mathematics at the University of California, Riverside.","Answer",{"name":112,"@type":107,"acceptedAnswer":113},"What is the focus of her research?",{"text":114,"@type":110},"Her research studies algebraic and tropical geometry, especially projectivized toric vector bundles and identifying Mori dream spaces using combinatorial data and tropical geometry techniques.",{"name":116,"@type":107,"acceptedAnswer":117},"How does she support student learning in her teaching?",{"text":118,"@type":110},"She emphasizes alternative instruction and grading structures, including specifications-based grading with “Pass”/“Revise” resubmissions and standards-based grading organized by learning outcomes with multiple attempts to demonstrate mastery.","https://schema.org",{"og:url":78,"og:type":121,"og:title":59,"og:site_name":91,"og:description":61},"article",{"robots":123,"canonical":78},"index,follow",{"doc_id":125,"site_id":56},254999,1790488190,{"code":4,"msg":5,"data":128},{"doc_id":125,"user_id":129,"nickname":88,"user_avatar":130,"doc_module":9,"category_id":40,"category_name":41,"doc_title":59,"doc_description":61,"doc_content":131,"file_id":132,"file_url":133,"file_type":134,"file_size":135,"view_count":101,"is_deleted":4,"is_public":9,"is_downloadable":9,"audit_status":9,"page_count":9,"language":136,"language_code":57,"site_id":56,"html_lang":57,"table_of_contents":137,"faqs":138,"seo_title":139,"seo_description":61,"update_tm":140,"read_time":4},2336475104042,"https://ap-avatar.wpscdn.com/avatar/22000c4c32af1715be0?x-image-process=image/resize,m_fixed,w_180,h_180&k=1786537525561427321","University of Kentucky College of Arts & Sciences Mathematics  \nCourtney B. George 702 Patterson Office Tower Lexington, KY 40506-0027 [courtney.george@uky.edu](courtney.george@uky.edu)  \nDear members of the search committee,  \nI am excited to apply for the position of Visiting Assistant Professor in the Department of Mathematics at University of California, Riverside.  \nMy research involves the interplay between algebraic and tropical geometry. I am particularly interested in studying projectivized toric vector bundles to identify classes that meet the property of being a “Mori dream space.” While this property can be algebraically tedious, there are ways to classify spaces using exclusively combinatorial data. Since Mori dream spaces behave nicely under the minimal model program, there is much interest in identifying which spaces have this property, but no complete classification yet exists. In my research, I have used techniques in tropical geometry to give an entirely combinatorial sufficient condition for a space tobe Mori dream. I have also written an algorithm in Macaulay2 to present generators and relations of the Cox ring corresponding to these projectivized toric vector bundles.  \nIn my nine semesters of teaching experience, I have served as both a primary instructor and as a recitation leader. I have taught courses including College Algebra, Mathematics for Elementary Educators, and Matrix Algebra. Currently, I am the instructor for a section of Corequisite to College Algebra, a course that I helped design two years ago when I was asked to teach the inaugural section. Throughout my time teaching, I frequently encounter students who feel like they are simply “not math people.” My goal is to break this mentality by providing alternative instruction and grading structures that better support student learning. In the past, this has included specifications-based grading, where assignments are graded either “Pass” or “Revise”and work can be resubmitted as necessary, and standards-based grading, where the course is divided into learning outcomes that the students are given multiple attempts to demonstrate mastery in. For this work, I was honored to receive the UK Arts & Sciences Outstanding TA award in May 2022.  \nThrough my position as a researcher and instructor, I pride myself on advocating for social justice in my classroom and my community. I have served on my department’s Diversity, Equity, and Inclusion Committee, where I established both an in-person and digital library of resources addressing issues of race, gender, class, and educational background. I also co-founded the University of Kentucky chapter of Spectra, an association for LGBTQ+ mathematicians and allies. I make a commitment to a lifetime of educating myself and others about diversity, equity, and inclusion.  \nI would be honored to join the esteemed faculty at University of California, Riverside. I believe that my experience in developing and teaching a diverse and inclusive curriculum, my passion for algebra research and mentorship, and my advocacy for diversity, equity, and inclusion initiatives would make me a valuable contribution to your department. Thank you for your consideration.  \nSincerely,  \nCourtney George","cbCairW77aqbgtS7","https://ap.wps.com/l/cbCairW77aqbgtS7","pdf",105606,"English","# Research Interests\n## Algebraic and tropical geometry\n## Mori dream spaces and combinatorial conditions\n## Cox ring algorithm in Macaulay2\n# Teaching Experience\n## Courses taught and instructional design\n## Grading approaches to support learning\n## Award recognition\n# Diversity, Equity, and Inclusion\n## Committee work and resource library\n## Spectra chapter co-founding\n# Closing","[{\"question\":\"What position does Courtney B. George apply for?\",\"answer\":\"She applies for a Visiting Assistant Professor position in the Department of Mathematics at the University of California, Riverside.\"},{\"question\":\"What is the focus of her research?\",\"answer\":\"Her research studies algebraic and tropical geometry, especially projectivized toric vector bundles and identifying Mori dream spaces using combinatorial data and tropical geometry techniques.\"},{\"question\":\"How does she support student learning in her teaching?\",\"answer\":\"She emphasizes alternative instruction and grading structures, including specifications-based grading with “Pass”/“Revise” resubmissions and standards-based grading organized by learning outcomes with multiple attempts to demonstrate mastery.\"}]","Courtney B. George Visiting Assistant Professor Application Letter | PDF",1789283983]