Dang-Khoa Nguyen

Mailing address:

University of Calgary. MS 542

2500 University Drive NW

Calgary, AB T2N 4T4, Canada

Email address: abc at xyz where:

1st option: abc=dangkhoa.nguyen and xyz=ucalgary.ca

2nd option: abc=khoanguyen2511 and xyz=gmail.com

Office: MS 542, (403) 220-3959

About me:

5/2014: PhD, UC Berkley. 7/2014-6/2017: UBC-PIMS Distinguished Postdoctoral Fellow, University of British Columbia.

Starting from 7/2017: Assistant Professor, Department of Mathematics and Statistics, University of Calgary

Research interests: algebraic dynamics, diophantine geometry, and related problems.

Teaching:

Winter 2019: Math 315 Algebra 1.

Fall 2019: Math 431 Algebra 2.

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
  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, Proc. Amer. Math. Soc. 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. Errata
  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, J. Eur. Math. Soc. 21 (2019), 1571-1594
  13. (with J. Bell) Some finiteness results on monogenic orders in positive characteristic, Int. Math. Res. Not. IMRN 2018 (2018), 1601-1637
  14. (with D. Ghioca) The orbit intersection problem for linear spaces and semiabelian varieties, Math. Res. Letters 24 (2017), 1263-1283
  15. (with D. Ghioca and L.-C. Hsia) Simultaneously preperiodic points for families of polynomials in normal form, Proc. Amer. Math. Soc. 146 (2018), 733-741
  16. (with A. Kulkarni and N. M. Mavraki) Algebraic approximations to linear combinations of powers: an extension of results by Mahler and Corvaja-Zannier, accepted to Trans. Amer. Math. Soc., 2017
  17. (with D. Ghioca and T. Tucker) Squarefree doubly primitive divisors in dynamical sequences, Math. Proc. Cambridge Philos. Soc. 164 (2018), 551-572
  18. (with L. DeMarco, D. Ghioca, H. Krieger, T. Tucker, and H. Ye) Bounded height in families of dynamical systems, Int. Math. Res. Not. IMRN 2019 (2019), 2453-2482
  19. (with D. Ghioca and H. Ye) The dynamical Manin-Mumford conjecture and the dynamical Bogomolov conjecture for endomorphisms of (P^1)^n, Compositio Math. 154 (2018), 1441-1472
  20. The Hermite-Joubert problem and a conjecture of Brassil-Reichstein, Canadian Math. Bulletin 62 (2019), 169-177
  21. On certain diophantine equations and the dynamical Mordell-Lang problem, CMS Notes 50 No. 2 (2018), 14-15
  22. (with D. Ghioca) A dynamical variant of the Pink-Zilber conjecture, Algebra & Number Theory 12 (2018), 1749-1771
  23. A new mean ergodic theorem for tori and recurrences, accepted to Ergodic Theory and Dynamical Systems, 2019
  24. (with J. Bell and U. Zannier) D-finiteness, rationality, and height, submitted
  25. (with A. Medvedev and T. Scanlon) Algebraic independence of Mahler functions of non-exceptional polynomial type, in preparation

Collaborators: Bernhard Schmidt, Chad Gratton, Tom Tucker, Katia Amerik, Pär Kulrberg, Adam Towsley, Bianca Viray, Felipe Voloch, Dragos Ghioca, Holly Krieger, Hexi Ye, Jason Bell, Avi Kulkarni, Myrto Mavraki, Liang-Chung Hsia, Laura DeMarco, Alice Medvedev, Tom Scanlon, Umberto Zannier