Uri Tomer

email:

Office: MATH214

Papers:

  1. Stretching Newton Polygons Using Pure Polynomials (2024)

    - With Rylan Gajek-Leonard

    - For a video of me presenting this paper click here

  2. Undergraduate thesis on p-adic numbers and newton polygons

About me:

I am a PHD student at the University of Colorado Boulder currently interested in arithmetic geometry. I graduated with honors in mathematics from Union College in Schenectady New York in June of 2024. Before that, I was born in Ramat HaSharon Israel in 2002 and lived in Brussels Belgium from 2008 to 2016. Thereafter I attended high school in Boston at Gann Academy. On this page you can see some of my mathematical projects (building this website is one of them) and visualizations. I also tutor both online and in person in the Boulder Colorado area. Aside from mathematics I enjoy practicing my French, snowboarding, playing volleyball and more. Feel free to email me with any questions about math, or if you are seaking a tutor, or for anything else. I am always happy to chat. A special thanks to Shai Mann Robison for help in building this website.

Teaching:

I am currently instructing Math 2300: Calculus 2. My office hours are TBD.

Math Visualizations:

I'm very passionate about bringing out the beauty of math in a way that the public (as well as the mathematician) can appreciate. The following are some projects I've done to that end.

- Abelian sand piles

- Newton polygons

If I were a Springer-Verlag Graduate Text in Mathematics, I would be Kenneth Ireland and Michael Rosen'sA Classical Introduction to Modern Number Theory. Bridging the gap between elementary number theory and the systematic study of advanced topics, I am a well-developed and accessible text that requires only a familiarity with basic abstract algebra. Historical developement is stressed throughout, along with wide-ranging coverage of significant results with comparitively elementary proofs, some of them new. An extensive bibliography and many challenging exercises are also included. I have been corrected and contain two new chapters which provide a complete proof of the Mordel-Weil theorem for elliptic curves over the rational numbers, and an overview of recent progress on the arithmetic of elliptic curves. Which Springer GTM would you be? The Springer GTM Test