### Ta Thi Hoai An

Full Professor, Doctor of Science
Department of Number Theory
Algebraic Number Theory, Nevanlinna Theory, Algebraic geometry |

**Address**

Office: Building A5, Room 305

Tel: +84 024 37563474 (ext. 154)

Email: tthan AT math.ac.vn

**Education and academic degrees**:

- 1993: Bachelor/Master
- 2001: PhD
- 2014: Doctor of Science
- 2009: Associate Professor
- 2023: Full Professor

*Research areas*: Algebraic Number Theory, Nevanlinna Theory, Algebraic geometry

**Fellowships and awards:**

- Award by Institute of Mathematics Vietnam 2009.
- - Humboldt Research Fellowship for experience researcher, Germany.
- - Junior Associate Research Member at ICTP, Italy (2004-2012).

**Visiting positions:**

- Free University, Berrlin Germany 2014-2014.
- September to October 2010: Mathematical Institute, Academia Sinica, Taiwan.
- July 2009: Mathematical Institute, Academia Sinica, Taiwan
- February 2009- May 2009: Essen- Duisburg University, Germany (Humboldt Fellow).
- November 2008-January 2009: Bonn, Germany
- October to November 2008: Fields Institute, Toronto, Canada.
- May 2008: Visiting associate professor, Blaise Pascal University, France.
- Spring 2008: International Center for Theoretical Physics, Trieste, Italy.
- Fall 2006: Mathematical Institute, Academia Sinica, Taiwan.
- Fall 2005: International Center for Theoretical Physics, Trieste, Italy.
- June-July 2004: Visiting associate professor, Blaise Pascal University, France.
- From Sep. 2001 to June 2004: Postdoctoral, Mathematical Institute, Academia Sinica, Taiwan.
- From Oct. 2000 to Dec. 2000: Fourier Institute, Grenoble University, France.
- From May 1999 to July 1999: Paul Sabatier University, France.

**Student Supervision:**

* Ph.D.*:

- Ha Tran Phuong, co-advisor, Ph. D. (Completed 2009), Hanoi Institute of Mathematics.
- Nguyen Thi Ngoc Diep, co-advisor, Ph.D (ompleted 2015), Vinh University
- Nguyen Viet Phuong (Currently)

**Master:**

- Doan Thi Thao (Completed 2022),
- Nguyen Thi Phuong (Completed 2022),
- Dang Thi Thu Thao (Completed 2021)
- Nguyen Viet Phuong, M. S. (Completed 2009), Thai Nguyen university.
- Nguyen Xuan Linh, M. S. (Completed 2009), Hanoi Nature Scinence university.
- Nguyen Truong Giang, M. S. (Completed 2008), Thai Nguyen university.
- Do Hong Nga, M. S. (Completed 2008), Thai Nguyen university.
- Dao Thi Thu Ha, M. S. (Completed 2007), Thai Nguyen university.
- Hoang Tan Viet, M. S. (Completed 2006), Thai Nguyen university.

**Grant support:**

- The second main theorem and applications, NAFOSTED, PI (currently)
- The Nevanlinna Index, NAFOSTED, PI (2018-2020)
- Distribution theory and some applications, NAFOSTED, PI (2015-2017)
- Buchi, Hensley’s problems for meromorphic functions and Related Topics, NAFOSTED, PI (2012-2014)
- Nevanlinna Theory and Related Topics, NAFOSTED, PI (2009-2011)

**PUBLICATIONS**

*List of publications in MathSciNet*

* *

*List of recent publications*1 | Ta Thi Hoai An, Nguyen Viet Phuong, A Non-Archimedean Second Main Theorem for Small Functions and Applications, Taiwanese Journal of Mathematics, 27 (2023), 913-929, (SCI-E, Scopus). |

2 | Ta Thi Hoai An, Nguyen Viet Phuong , A lemma about meromorphic functions sharing a small function. Computational Methods and Function Theory 22 (2022), no. 2, 277–286, (SCI-E, Scopus). |

3 | Ta Thi Hoai An, Nguyen Viet Phuong, Zeros of Differential Polynomials of Meromorphic Functions, Acta Mathematica Vietnamica, 47 (2022), pages 211–221, (Scopus). |

4 | Ta Thi Hoai An, Nguyễn Việt Phương, A note on Hayman’s conjecture, International Journal of MathematicsVol. 31, No. 06, 2050048 (2020), (SCI-E), Scopus. |

5 | Alain Escassut, Ta Thi Hoai An, Classical p-adic Nevanlinna theory and Nevalinna theory out of a hole. [Corrected title: Classical p-adic Nevanlinna theory and Nevanlinna theory out of a hole] Advances in ultrametric analysis, 161–203, Contemp. Math., 704, Amer. Math. Soc., Providence, RI, 2018. |

6 | Alain Escassut, Ta Thi Hoai An, New applications of the $p$-adic Nevanlinna theory p-Adic Numbers Ultrametric, p-Adic Numbers, Ultrametric Analysis and Applications, 10 (2018), 12–31. |

7 | Ta Thi Hoai An, Nguyen Viet Phuong, Uniqueness theorems for differential polynomials sharing a small function. Computational Methods and Function Theory, 17 (2017), 613–634, SCI(-E); Scopus. |

8 | Alain Escassut, Ta Thi Hoai An, P-Adic Nevanlinna Theory Outside of a Hole, Vietnam Journal of Mathematics, 45 (2017), 681–694, (Scopus). |

9 | Thomas Hales, Mark Adams, Gertrud Bauer, Tat Dat Dang, John Harrison, Hoang Le Truong, Cezary Kaliszyk, Victor Magron, Sean Mclaughlin, Nguyen Tat Thang, Quang Truong Nguyen, Tobias Nipkow, Steven Obua, Joseph Pleso, Jason Rute, Alexey Solovyev, Ta Thi Hoai An, Tran Nam Trung, Thi Diep Trieu, Josef Urban, Ky Vu, Roland Zumkeller, A formal proof of the Kepler onjecture, Forum of Mathematics, Pi, 5 (2017) 29 pages. |

10 | Ta Thi Hoai An, Cherry William, Wang Julie Tzu-Yueh, Supplement and Erratum to "Algebraic degeneracy of non-Archimedean analytic maps'' [Indagationes Mathematicae (N.S.) 19 (2008) 481–492] , Indagationes Mathematicae (N.S.) 26 (2015), 329–336,SCI(-E); Scopus. |

11 | Ta Thi Hoai An, Nguyen Thi Ngoc Diep, Genus one factors of curves defined by separated variable polynomials, Journal of Number Theory, 133 (2013), 2616-2634, SCI(-E); Scopus. |

12 | Ta Thi Hoai An, Hsiu-Lien Huang and J. T.-Y. Wang, Generalized B\"uchi's problem for algebraic functions and meromorphic functions, Mathematische Zeitschrift 273 (2013), 95-122, SCI(-E); Scopus. |

13 | Ta Thi Hoai An, Nguyen Thi Ngoc Diep, Heights of Function Field Points on Curves Given by Equations with Separated Variables, International Journal of Mathematics,23 (2012), SCI(-E); Scopus. |

14 | Ta Thi Hoai An, William Cherry, Preface [Special issue dedicated to Professor Hà Huy Khoái on the occasion of his 65th birthday], Vietnam J. Math. 39 (2011), no. 3, v--vii. |

15 | Ta Thi Hoai An, J. T.-Y. Wang, Hensley's problem for complex and non-Archimedean meromorphic functions, Journal of Mathematical Analysis and Applications 381(2011), 661 -- 677, SCI(-E); Scopus. |

16 | Ta Thi Hoai An, A. Levin and J. T.-Y. Wang, A $p$-adic Nevanlinna-Diophantine correspondence, Acta Arithmetica 146 (2011), 379 -- 397, SCI(-E); Scopus. |

17 | Ta Thi Hoai An, Unique range sets for meromorphic functions constructed without an injectivity hypothesis, Taiwanese Journal of Mathematics, 15 (2011), 697 -- 709, SCI(-E); Scopus. |

18 | Ta Thi Hoai An, Julie Tzu-Yueh Wang, A note on uniqueness polynomials of entire functions, Vietnam J. Math. 37 (2009), 225-236. |

19 | Ta Thi Hoai An, Ha Tran Phuong, On an explicit estimate on multiplicity truncation in the second main theorem for holomorphic curves encountering hypersurfaces in general position in projective space, Houston Journal of Mathematics, 35 (2009), 775-786. |

20 | Ha Huy Khoai, Ta Thi Hoai An, A survey on uniqueness polynomials and unique range sets. In: Some topics on value distribution and differentiability in complex and p-adic analysis.,143-163; Math. Monogr. Ser., 11, Sci. Press Beijing, 20008. |

21 | Ta Thi Hoai An, Ha Huy Khoai, Uniqueness polynomials and unique range sets. Some topics on value distribution and differentiability in complex and p-adic analysis, 148–163, Math. Monogr. Ser., 11, Sci. Press Beijing, Beijing, 2008. |

22 | Ta Thi Hoai An, A. Escassut, Meromorphic solutions of equations over non-Archimedean fields, Ramanujan J. 15 (2008), N0 3, 415 - 433. |

23 | Ta Thi Hoai An, J. T.-Y. Wang and P.-M. Wong, Non-Archimedean analytic curves in the complements of hypersurface divisors. J. Number Theory 128 (2008), 2275 - 2281. |

24 | Ta Thi Hoai An, W. Cherry and J.T.-Y. Wang, Algebraic degeneracy of non-archimedean analytic maps, Indagationes Math. 19 (2008), 481-492, preprint arXiv:0708.0401. |

25 | Ta Thi Hoai An, Wang, Julie Tzu-Yueh, An effective Schmidt's subspace theorem for non-linear forms over function fields. Journal of Number Theory 125 (2007), no. 1, 210--228, (SCI(-E), Scopus). |

26 | Ta Thi Hoai An, J. T.-Y. Wang, Unique range sets and uniqueness polynomials for algebraic curves, Trans. Amer. Math. Soc. 359 (2007), 937 - 964(electronic). |

27 | Ta Thi Hoai An, A defect relation for non-Archimedean analytic curves in arbitrary projective varieties, Proc. Amer. Math. Soc. 135 (2007), 1255 - 1261. |

28 | Ta Thi Hoai An, J. T.-Y. Wang, An effective Schmidt's subspace theorem for non-linear forms over function fields, J. Number Theory 125 (2007), 210 - 228. |

29 | Ta Thi Hoai An, Julie Tzu-Yueh Wang, Pit-Mann Wong, Unique range sets and uniqueness polynomials in positive characteristic. II. Acta Arith. 116 (2005), N0 2, 115 - 143. |

30 | Ta Thi Hoai An, J. T.-Y. Wang, Unique range sets for non-Archimedean entire functions in positive characteristic fields. In: Ultrametric functional analysis, 323 - 333, Contemp. Math. 384, Amer. Math. Soc., Providence, RI, 2005. |

31 | Ta Thi Hoai An, J. T.-Y. Wang and P.-M. Wong, Strong uniqueness polynomials: the complex case, Complex Var. Theory Appl. 49 (2004), 25 - 54. |

32 | Ta Thi Hoai An, Julie Tzu-Yueh Wang, Pit-Mann Wong, Unique range sets and uniqueness polynomials in positive characteristic. Acta Arith. 109 (2003), 259 - 280 |

33 | Ha Huy Khoai, Ta Thi Hoai An, Uniqueness problem with truncated multiplicities for meromorphic functions on a non-Archimedean field, Southeast Asian Bull. Math. 27 (2003), 477 - 486. |

34 | Ta Thi Hoai An, J. T.-Y. Wang, Uniqueness polynomials for complex meromorphic functions. Internat, J. Math. 13 (2002), 1095 - 1115. |

35 | Ta Thi Hoai An, A new class of unique range sets for meromorphic functions on $\Bbb C$. Dedicated to the memory of Le Van Thiem (Hanoi, 1998), Acta Math. Vietnam. 27 (2002), 251 - 256. |

36 | Ha Huy Khoai, Ta Thi Hoai An, On uniqueness polynomials and bi-URs for $p$-adic meromorphic functions, J. Number Theory 87 (2001), N0 2, 211 - 221. |

*Preprints*1 | IMH20230605, Ta Thi Hoai An, Ngo Quoc Hoan, Polylogarithm functions via Nevallinna theory |

2 | IMH20239604, Ta Thi Hoai An, Ngo Quoc Hoan, Multiple Eulerian polynomials |

3 | IMH20221205, Ta Thi Hoai An, Nguyen Viet Phuong, Quasi-normal family of meromorphic functions |

4 | IMH20221204, Ta Thi Hoai An, Nguyen Viet Phuong, A non-Archimedean second main theorem for small functions and applications, Accepted by Taiwanese Journal of Mathematics |

### Highlights

23/09/24, Conference: Hội thảo quốc tế "Lược đồ nhóm và một số chủ đề liên quan" |

28/09/24, Conference: Hội thảo "Gặp gỡ toán học 2024 - Hội thảo Khoa học các nhà nghiên cứu trẻ" |

28/10/24, Conference: School and Workshop “Selected topics in Arithmetic Algebraic Geometry” |

01/12/24, Conference: Hội thảo quốc tế về Đại số giao hoán và mối liên quan với Tổ hợp |