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

2nd email address: abc at xyz (where abc=dknguyen and


About me:

Research interests: algebraic dynamics, diophantine geometry, and related problems in algebra and number theory.

Since 7/2014: UBC-PIMS Distinguished Postdoctoral Fellow mentored by Professor Dragos Ghioca.


5/2014: PhD in math at UC Berkeley. Co-advisors: Professors Thomas Scanlon and Paul Vojta (I was also mentored by Professor Thomas Tucker during a 3-month visit at ICERM.)


Teaching at UBC:

Fall 2015: MATH 200 (Multivariable Calculus), 2 sections.

Spring 2015: MATH 101 (Integral Calculus with Applications)

Fall 2014: MATH 200 (Multivariable Calculus)


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.
Bull. London Math. Soc. 45 (2013), 1194-1208

3. Some arithmetic dynamics of diagonally split polynomial maps.
Int. Math. Res. Not. IMRN. 2015 (2015), 1159-1199. Errata.

4. Algebraic independence of local conjugacies and related questions in polynomial dynamics.
Proceedings AMS, 143 (2015), 1491-1499

5. (with D. Ghioca and T. Tucker) Portraits of preperiodic points for rational maps.
Math. Proc. Cambridge Philos. Soc., 159 (2015), 165-186

6. (with E. Amerik, P. Kurlberg, A. Towsley, B. Viray and F. Voloch) Evidence for the dynamical Brauer-Manin criterion.
Experimental Math., 25 (2016), 54-65

7. (with D. Ghioca) Dynamical anomalous subvarieties: structure and bounded height theorems.
Advances in Math., 288 (2016), 1433-1462

8. (with D. Ghioca and H. Krieger) A case of the dynamical André-Oort conjecture.
Int. Math. Res. Not. IMRN. 2016 (2016), 738-758

9. On modules of integral elements over finitely generated domains.
Accepted to
Trans. Amer. Math. Soc., 2015.

10. (with D. Ghioca) Dynamics of split polynomial maps: uniform bounds for periods and application.
Accepted to
Int. Math. Res. Not. IMRN., 2016.

11. (with D. Ghioca, H. Krieger, and H. Ye) The dynamical André-Oort conjecture: unicritical polynomials.
Accepted to
Duke Math Journal, 2016.


Preprints and Work in Progress:

1. (with J. Bell) Some finiteness results on monogenic orders in positive characteristic. Submitted.

2. (with D. Ghioca and H. Ye) The dynamical Manin-Mumford conjecture and the dynamical Bogomolov conjecture for split rational maps. Submitted.

3. (with A. Kulkarni and N. M. Mavraki) Algebraic approximations to linear combinations of powers: an extension of results by Mahler and Corvaja-Zannier. Submitted.

4. (with D. Ghioca) The orbit intersection problem for linear spaces and semiabelian varieties. Submitted.



Bernhard Schmidt, Chad Gratton, Tom Tucker, Katia Amerik, Pär Kurlberg, Adam Towsley, Bianca Viray, Felipe Voloch, Dragos Ghioca, Holly Krieger, Hexi Ye, Jason Bell, Avi Kulkarni, Myrto Mavraki.


Some slides: (for very short talks)

1. 5-minute talk at UNCG Summer School In Computational Number Theory 2013.

2. 25-minute talk at Pacific Northwest Number Theory Conference 2015.


Previous Teaching at Berkeley:
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)