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: CV

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 2016: MATH 200 (Multivariable calculus), 2 sections.

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

Spring 2015: MATH 101 (Integral Calculus with Applications).

Fall 2014: MATH 200 (Multivariable Calculus).


Accepted Papers: (Warning: these might differ 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. (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

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

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

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

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.
Trans. Amer. Math. Soc. 369 (2017), 3047-3066

10. (with D. Ghioca) Dynamics of split polynomial maps: uniform bounds for periods and application.
Int. Math. Res. Not. IMRN 2017 (2017), 213-231

11. (with D. Ghioca, H. Krieger, and H. Ye) The dynamical André-Oort conjecture: unicritical polynomials.
Duke Math. J. 166 (2017), 1-25

12. (with D. Ghioca and H. Ye) The dynamical Manin-Mumford conjecture and the dynamical Bogomolov conjecture for split rational maps.
Accepted to
J. Eur. Math. Soc. (JEMS), 9/2016.

13. (with J. P. Bell) Some finiteness results on monogenic orders in positive characteristic.
Accepted to
Int. Math. Res. Not. IMRN, 11/2016

14. (with D. Ghioca) The orbit intersection problem for linear spaces and semiabelian varieties.
Accepted to
Math. Research Letters, 2017

15. (with D. Ghioca and L.-C. Hsia) Simultaneously preperiodic points for families of polynomials in normal form.
Accepted to
Proceedings AMS, 2017


Preprints and Work in Progress:

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

2. (with D. Ghioca and T. Tucker) Squarefree doubly primitive divisors in dynamical sequences. Submitted.

3. The Hermite-Joubert problem and a conjecture of Brassil-Reichstein. Submitted.

4. (with L. DeMarco, D. Ghioca, H. Krieger, T. Tucker, and H. Ye) Bounded height in families of dynamical systems. First draft available.



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, Liang-Chung Hsia, Laura DeMarco.


Some slides: (usually short talks)

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

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

3. 45-mintute talk UBC Number Theory Seminar, March 2016.

4. 15-minute talk at CNTA XIV, June 2016.

5. 45-minute talk at the workshop “Interactions between Model Theory and Arithmetic Dynamics”, Fields Institute, Toronto, July 2016.

6. Slides used for various talks in 2016


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)