# Home

**Department of Mathematics**

U.S. Naval Academy

During the academic year 2010-2011, I was on sabbatical at Colorado State University.

## Research Interests:

- Algebraic geometry
- Tropical geometry
- Number theory
- Arithmetic dynamics
- Error-correcting codes
- Supersymmetric string theory

## Teaching Interests

- Inquiry-Based Learning: IBL SIGMAA, AIBL, Discovering the Art of Mathematics
- Check out the CAPABLE website!
- Mathematical Mindsets
- Math Circles, especially for teachers, especially the one in Annapolis.

In 2007 I gave a series of lectures at the Program for Women in Mathematics at the Institute for Advanced Study, based on this paper: Bashelor, Andrew, Amy Ksir, and Will Traves, “Enumerative Algebraic Geometry: Counting Conics.” American Mathematical Monthly, vol.115, no. 8, October 2008, pp. 701–728

## Other Recent Papers

- Joyner, David, Amy Ksir, and Caroline Grant Melles.

“Automorphism Groups on Tropical Curves: Some Cohomology Calculations.” To appear in Beiträge zur Algebra und Geometrie. - Glass, Darren, David Joyner, and Amy Ksir.

“Codes from Riemann-Roch spaces for y^2 = x^p – x over GF(p).” International Journal of Information and Coding Theory, Volume 1, Number 3, 2010. - Joyner, David, Amy Ksir, and Will Traves.

“Automorphism groups of generalized Reed-Solomon codes.” Advances in coding theory and cryptology, (T. Shaska, W. C. Huffman, D. Joyner, V. Ustimenko, editors), World Scientific, 2007. - Joyner, David, Amy Ksir, and Roger Vogeler.

“Group representations on Riemann-Roch spaces of some Hurwitz curves,” Albanian Journal of Mathematics, volume 1 number 2, June 2007. pp 67-85. - Joyner, W. David and Amy Ksir,

“Modular representations on some Riemann-Roch spaces of modular curves X(N),” in Computational Aspects of Algebraic Curves, volume 13 of the Lecture Notes in Computing series. World Scientific, Singapore, 2005, pp. 163-205. - Joyner, W. David and Amy Ksir,

“Automorphism groups of some AG codes,” IEEE Transactions on Information Theory, volume 52 number 7 (July 2006), pp. 3325-3329. - Ksir, Amy and Russell Goodman.

“FoxTrot Brings Mathematics to the Comics Page,” Math Horizons, November 2005, pp. 18-20. - Greenwald, Sarah G., Amy Ksir, and Lawrence H. Shirley.

“Thomas Fuller and his Calculation Ability.” The Centroid (Official publication of the North Carolina Council of Teachers of Mathematics), volume 30 number 1, Spring 2004, pp. 15-19. - Joyner, W. David and Amy Ksir,

“Decomposing Representations of Finite Groups on Riemann-Roch Spaces,” to appear in Proceedings of the American Mathematical Society.