Khoa Dang Nguyen
Department of Mathematics and The Pacific Institute for the Mathematical Sciences The University of British Columbia Vancouver, BC V6T 1Z4
1st email address: abc at xyz (where abc=khoanguyen2511 and xyz=gmail.com) 2nd email address: abc at xyz (where abc=dknguyen and xyz=math.ubc.ca)
About me:
5/2014: PhD in math at UC Berkeley. Research interest: Diophantine Geometry and Algebraic Dynamics. Coadvisors: Professors Thomas Scanlon and Paul Vojta (I was also mentored by Professor Thomas Tucker during a 3month visit at ICERM).
Teaching at UBC: Spring 2015: MATH 101 (Integral Calculus with Applications)
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), 205232. 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. 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 4. 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 E. Amerik, P. Kurlberg, A. Towsley, B. Viray and F. Voloch) Evidence for the dynamical BrauerManin criterion. Submitted to Experimental Math., 2013. Revision in progress. arXiv:1305.4398 2. (with D. Ghioca and H. Krieger) A case of the dynamical AndreOort conjecture. Submitted, 4/2014. arXiv:1404.6011 3. (with D. Ghioca and T. Tucker) Portraits of preperiodic points for rational maps. Submitted, 7/2014. arXiv:1407.1573 4. (with D. Ghioca) Dynamical anomalous subvarieties: structure and bounded height theorems. Submitted, 9/2014. arXiv:1408.5455 5. On modules of integral elements over finitely generated domains. Submitted, 12/2014. arXiv:1412.2868
Collaborators: Bernhard Schmidt, Chad Gratton, Tom Tucker, Katia Amerik, Par Kurlberg, Adam Towsley, Bianca Viray, Felipe Voloch, Dragos Ghioca, Holly Krieger.
Previous Teaching at Berkeley: Spring 2013: GSI for MATH 54 (lecturer: Zvezdelina Stankova) Fall 2013: GSI for MATH 16B (lecturer: James Demmel) Spring 2014: GSI for MATH 16B (lecturer: Alexander Coward)
