Thesis Data

Tables of elliptic curves can be found at the following links:

Curves over -23 discriminant cubic field up to norm conductor 911 arranged by isogeny class

Curves over -23 discriminant cubic field with norm conductor greater than 911

Curves over -31 discriminant cubic field

Curves over -44 discriminant cubic field

Curves over -59 discriminant cubic field

Curves over -76 discriminant cubic field

Curves over -83 discriminant cubic field

Curves over -87 discriminant cubic field

Curves over -104 discriminant cubic field

Curves over -107 discriminant cubic field

Graphs representing curves connected by p-isogenies in size 12 isogeny classes over -23 discriminant cubic field:
            Prime isogeny graph for ncond 385 isogeny class over -23 disc. cubic field.        Prime isogeny graph of ncond 665 isogeny class over -23 disc. cubic field.

Ariah Klages-Mundt

I am a fourth-year undergraduate student in mathematics at Amherst College. I was previously a visiting student at Lady Margaret Hall studying mathematics at the University of Oxford. I am interested in number theory and arithmetic geometry.

I am currently writing an honors thesis on elliptic curves advised by Paul Gunnells at the University of Massachusetts-Amherst.

I use the open-source software Sage for computer-algebra computations and highly recommend it.

During high school, I was very active in science fair competitions -- e.g., the Intel International Science & Engineering Fair, the Intel Science Talent Search, and the International Sustainable World Project Olympiad.

I also study classical guitar with Phillip de Fremery.

Contact Information

E-mail: first initial followed by last name w/o hyphen then append the first abundant number at amherst.edu

Mailing address:

1555 Keefe Campus Center
Amherst College
Amherst, MA 01002

Research

A Database of Elliptic Curves over ℚ(√5) -- First Report (17 pages), with Jonathan Bober, Alyson Deines, Benjamin LeVeque, R. Andrew Ohana, Ashwath Rabindranath, Paul Sharaba, and William Stein, to appear in Proc. of ANTS-X (2012).

You can find the full table of curves here.

 

Previously, I worked with Krešimir Josić on modelling neuronal networks with stochastic differential equations as part of an NSF-funded research experience for undergraduates at Rice University and the Gulf Coast Consortia.