Ta Thi Hoai An
Research interests
Algebraic Number Theory
Value Distribution Theory
Algebraic Geometry.
Education
Habilitation, Blaise Pascal University, France, February 2014.
Ph.D., Mathematics, Vinh University, Viet Nam, June 2001.
Master of Science, Mathematics, Vinh University, Viet Nam, December 1995.
Bachelor of Science, Mathematics, Vinh University, Viet Nam, June 1993.
Honors and awards
Award “Sientific prize for young mathematicians” from The Instiute of Mathematics (2009).”
Humboldt Research Fellowship (Experienced Researcher), for 20 months during 2008-2012.
Grants by ICTP, Italy to be Junior Associate Research Member from 2004-2010.
Grants by EMS and IMU to attend the ICM 2006, Madrid, Spain. - Grants to attend the workshop at IHES, Summer 2006.
Grants by EMS, IMU support for young mathematicians to attend the conference Abel Bicentennial Conference 2002′′, Oslo, Norway.
Scholarship from French embassy to visit France (2000).
Scholarship from For-Math-Vietnam to visit France (2000).
Scholarship from CNRS UMR 5580, Paul Sabatier University, France (1998).
Publications
1. Escassut, Alain; 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.
2. Escassut, Alain; An, Ta Thi Hoai New applications of the p-adic Nevanlinna theory. p-Adic Numbers Ultrametric Anal. Appl. 10 (2018), no. 1, 12–31.
3. Uniqueness Theorems for Differential Polynomials Sharing a Small Function, Computational Methods and Function Theory, December 2017, Volume 17, Issue 4, pp 613-634. (With Nguyen Viet Phuong)
4. A formal proof of the Kepler onjecture, Forum of Mathematics, Pi, 5 (2017) 29 pages. (With Thomas Hales, Mark Adams, Gertrud Bauer, Tat Dat Dang, John Harrison, Hoang Le Truong, Cezary Kaliszyk, Victor Magron, Sean Mclaughlin, Nguyn Tat Thang, Quang Truong Nguyen, Tobias Nipkow, Steven Obua, Joseph Pleso, Jason Rute, Alexey Solovyev, Tran Nam Trung, Thi Diep Trieu, Josef Urban, Ky Vu, Roland Zumkeller)
5. P-Adic Nevanlinna Theory Outside of a Hole, Vietnam Journal of Mathematics,Volume 45, Issue 4, pp 681{694. (with A. Escassut).6. Supplement and Erratum to “Algebraic degeneracy of non-Archimedean analytic maps” [Indag. Math. (N.S.) 19 (2008) 481492] [MR2513064]. Indag. Math. (N.S.) 26 (2015), no. 2, 329-336. (with Cherry, William; Wang, Julie Tzu-Yueh)
7. Generalized Buchi’s problem for algebraic functions and meromorphic functions, Mathematische Zeitschrift, 273(2013), no. 1, 95-122. (with Julie T-Y Wang, Hsiu-Lien Huang)
8. Genus one factors of curves defined by separated variable polynomials, Journal of Number Theory, 133 (2013) 2616-2634. (with Nguyen Thi Ngoc Diep)
9. Heights of Function Field Points on Curves Given by Equations with Separated Variables, International Journal of Mathematics, Vol. 23, No. 9 (2012) 1250089 (18 pages). (With Nguyen Ngoc Diep)10. Hensley’s problem for complex and non-Archimedean meromorphic functions, Journal of Mathematical Analysis and Applications, 381(2011), 661-677. (with Julie T-Y Wang)
11. Unique Range Sets for Meromorphic Functions Constructed without an Injectivity Hypothesis, Taiwanese Journal of Mathematics, Vol. 15, No. 2 (2011), pp. 697-709.12. A p-adic Nevanlinna-Diophantine correspondence, Acta Arith. 146 (2011), 379-397 . (with Aaron Levin and Julie T-Y Wang).
13. A note on uniqueness polynomials of entire functions, Vietnam Journal of Mathematics 37:2&3 (2009) 225-236, (with Julie T-Y Wang).14. 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, Vol 35, No. 3, (2009), 775-786. (with Tran Ha Phuong).
15. Algebraic Degeneracy of Non-Archimedean Analytic Maps, Indagationes Math., Volume: 19, Issue: 3, (2008), Pages 481-492. (with W. Cherry and J.T.-Y. Wang).
16. A survey on 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. (with H. H. Khoai).17. Non-archimedean analytic curves in the complements of hypersurface divisors, Journal of Number Theory, Volume 128, (2008), 2275-2281, (with J.T.-Y. Wang, and P.-M. Wong).
18. Meromorphic solutions of equations over non-Archimedean fields, Journal of Ramanujan 15 (2008), 415-433, (with A. Escassut).
19. An effective Schmidt’s subspace theorem for non-linear forms over function fields, Journal of Number Theory, Volume 125, Issue 1 (2007), 210-228, (with Julie T-Y Wang).
20. Defect relation for non-Archimedean analytic maps into arbitrary projective varieties, Proc. Amer. Math. Soc. 135 (2007), 1255-126121. Unique range sets and Uniqueness polynomials for algebraic curves, Trans. Amer. Math. Soc. 359 (2007), 937-964, (with Julie T-Y Wang).
22. Unique range sets for Entire functions in positive characteristic fields, Ultrametric functional analysis, 323{333, Contemp. Math., 384, Amer. Math. Soc., Providence, RI, 2005, (with Julie T-Y Wang).23. Unique range sets and uniqueness polynomials in positive characteristic II, Acta Arith. 116 (2005), 115-143, (with Julie T-Y Wang and Pit-Mann Wong). 24. Strong uniqueness polynomials: the complex case. Complex Var. Theory Appl. 49 (2004), no. 1, 25-54, (with Julie T-Y Wang and Pit-Mann Wong).
25. Unique range sets and uniqueness polynomials in positive characteristic, Acta Arith. 109 (2003), no. 3, 259-280, (with Julie T-Y Wang and Pit-Mann Wong).
26. Uniqueness problem with truncated multiplicities for meromorphic functions on a non-Archimedean field, Southeast A. Bull. Math. 27 (2003), no. 3, 477-486, (with Ha Huy Khoai).27. Uniqueness polynomials for complex meromorphic functions, Internat. J. Math. 13 (2002), no. 10, 1095-1115, (with Julie T-Y Wang).
28. A new class of unique range sets for meromorphic functions, Dedicated to the memory of Le Van Thiem (Hanoi, 1998). Acta Math. Vietnam. 27 (2002), no. 3, 251-256.29. On uniqueness polynomials and bi-URS for p-adic meromorphic functions, J. Number Theory 87 (2001), no. 2, 211-221, (with Ha Huy Khoai).