Khoa Dang Nguyen

 

Department of Mathematics

University of California, Berkeley

Berkeley, CA 94720

Email: abc at xyz (where abc=khoanguyen2511 and xyz=berkeley.edu or gmail.com)

Office: 1093 Evans Hall

 

About me:
PhD student in math since Aug 2009. Advance to candidacy since Jan 2011. Research interest: Diophantine Geometry and Algebraic Dynamics. Co-advisors: Professors Thomas Scanlon and Paul Vojta (and, unofficially, Professor Thomas Tucker at the University of Rochester).

For more information: CV (WARNING: Preview on Mac might not display this CV properly. Please try to view it in another browser, or try this MS Word document, or send me an email) and publication list (which is also given below and included in my CV).

 

Teaching:
Fall 2012: GSI for MATH 1A (lecturer: Paul Vojta)

Spring 2013: GSI for MATH 54 (lecturer: Zvezdelina Stankova)
Summer 2013: Full instructor for MATH 54.

Fall 2013: GSI for MATH 16B (lecturer: James Demmel)

Spring 2014: GSI for MATH 16B (lecturer: Alexander Coward)

 

Publications: (Warning: papers provided here may be different from the published versions)

1. (with B. Schmidt) Fast computation of Gauss sums and resolution of the root of unity ambiguity. Acta Arith. 140 (2009), 205-232. pdf

2. (with C. Gratton and T. Tucker) ABC implies primitive prime divisors in arithmetic dynamics. To appear in Bull. London Math. Soc. (published online July 29, 2013. doi:10.1112/blms/bdt049) arXiv:1208.2989

3. (with E. Amerik, P. Kurlberg, A. Towsley, B. Viray and F. Voloch) Evidence for the dynamical Brauer-Manin criterion. Accepted pending revisions to Experimental Math., 2013. arXiv:1305.4398

4. Some arithmetic dynamics of diagonally split polynomial maps. To appear in International Math. Research Notices (published online Nov 13, 2013. doi: 10.1093/imrn/rnt240). arXiv:1304.3052

5. Algebraic independence of local conjugacies and related questions in polynomial dynamics. Accepted to Proceedings AMS, 1/2014. arXiv:1310.2329

 

Preprints and Work in Progress:

1. (with M. Zieve) Decomposition of rational maps and applications in algebraic dynamics. In preparation, rough draft available upon request.

2. (with D. Ghioca and T. Tucker) Portraits. In preparation.

3. (with D. Ghioca and H. Krieger) A case of the dynamical Andre-Oort conjecture. In preparation.

 

Collaborators:

Bernhard Schmidt, Chad Gratton, Tom Tucker, Katia Amerik, Par Kurlberg, Adam Towsley, Bianca Viray, Felipe Voloch, Mike Zieve, Dragos Ghioca, Holly Krieger.