Robert JS McDonald

Currently, I am a PhD student at the University of Connecticut. My advisor is Alvaro Lozano-Robledo. Current research interests include number theory, arithmetic geometry, elliptic curves, and Galois representations. My thesis focuses on classifying torsion subgroups of elliptic curves over function fields of genus zero and one. Recently, I have become interested in torsion subgroups of elliptic curves over function fields of hyperelliptic curves.

• PhD Thesis: Torsion Subgroups of Ellitpic Curves over Function Fields
• Research Statement
• Publications (includes abstracts)
• References

1. Torsion Subgroups of Elliptic Curves over Function Fields of Genus 0, in JNT
2. Torsion Subgroups of Elliptic Curves over Function Fields of Genus 1 (current rough draft)

Seminar Talks

• Torsion Subgroups of Elliptic Curves over Function Fields of Genus 0 and 1March 5, 2019Five College Number Theory Seminar, University of Connecticut
• Torsion Subgroups of Elliptic Curves over Function FieldsNovember 28, 2018Algebra Seminar, University of Connecticut
• Torsion Subgroups of Elliptic Curves over Function FieldsDecember 11, 2017Number Theory Seminar, Boston University
• ABC and Fermat for PolynomialsApril 1, 2017SIGMA Seminar, University of Connecticut
• The Fermat Equation for PolynomialsSpring 2017Undergraduate Math Club Talk, University of Connecticut

Conference Talks

• Torsion Subgroups of Elliptic Curves over Function Fields of Genus 1April 14, 20191148th AMS Sectional Meeting
• Torsion Subgroups of Elliptic Curves over Function FieldsJanuary 19, 20192019 Joint Math Meetings
• Torsion Subgroups of Elliptic Curves over Function FieldsMarch 20, 20182018 Automorphic Forms Workshop, Tufts University
• Torsion Subgroups of Elliptic Curves over Function Fields of Genus 0October 14, 2017Maine-Québec Number Theory Conference, University of Maine

• 1148th AMS Sectional MeetingApril 2019University of Connecticut Hartford, Hartford, CT
• Northeast Consortium for Quantitative Literacy XXII MeetingMarch 2019Bay Path University, Longmeadow, MA
• 2019 Joint Math MeetingsJanuary 2019Baltimore, MD
• Connecticut Summer School in Number Theory (CTNT)May 2018University of Connecticut, Storrs, CT
• Automorphic Forms WorkshopMarch 2018Tufts University, Boston, MA
• Arizona Winter School: Iwasawa Theory March 2018University of Arizona, Tucson, AZ
• Maine-Québec Number TheoryOctober 2017University of Maine, Orono, ME
• MSRI Summer School: Automorphic Forms and Langlands Program July/August 2017MSRI, Berkeley, CA
• Seventh Upstate New York Number Theory Conference May 2017Binghamton University, Binghamton, NY
• Arizona Winter School: Perfectoid SpacesMarch 2017University of Arizona, Tucson, AZ
• Connecticut Summer School in Number TheoryAugust 2016University of Connecticut, Storrs, CT
• Arizona Winter School: Arithmetic GeometryMarch 2016University of Arizona, Tucson, AZ
• BU/Keio University Workshop 2015 September 2015Boston University, Boston, MA
• Elliptic Curves @ UConn May 2014University of Connecticut, Storrs, CT
• Advanced Technological Education (ATE) 2013 Conference Fall 2013American Association of Community Colleges, Washington DC

Currently, I am lecturing two sections of Applied Linear Algebra, Course Webpage

I've been living in Connecticut since I was five or six years old. I grew up in a small town called Scotland, about 45 minutes East of Hartford, CT. Scotland is a very small town, with a population of about 1700 people. There were 20 students in my class at primary school, and with two other towns, Chaplin and Hampton (with a total population of around 4000 between all three), I had a high school graduating class of 30 students. Honestly, I loved the experience of a small school and a small community, which is why I ended up going to a small local community college and Eastern Connecticut State University, a small liberal arts college in Willimantic, CT, to complete my bachelors in mathematics. ECSU was by far the best choice for me; they had 5000 undergraduates, and my class sizes were rarely over 10-15 students. The liberal arts philosophy fostered great relationships between me, my class, and my professors, and I left feeling more well-rounded than I would have with a more preprofessional education at a larger university.

While finishing up at Eastern, I spent some time working as a metal cutting engineer at Spirol International in Danielson, CT. Here, I designed side and end-work cutting tools for multispindle lathes. It was very fun, but ultimately, I decided my true passion was for math research and teaching. That's when I decided to go to the University of Connecticut (a not so small school) to pursue my PhD in mathematics, which I received in May of 2019!