GS. TS. HDR. Trần Văn Tấn

Giáo sư, Tiến sĩ – Giảng viên cao cấp

Lĩnh vực nghiên cứu:  Định lí cơ bản thứ hai của Lý thuyết Nevanlinna và Định lí không gian con Schmidt Xấp xỉ Diophantus; Ứng dụng của Lý thuyết Nevanlinna trong việc nghiên cứu ánh xạ chỉnh hình như bài toán xác định duy nhất ánh xạ chỉnh hình, bài toán họ chuẩn tắc các ánh xạ chỉnh hình.

Email: tantvAThnue.edu.vn

Education

  • September, 1994 – August, 1998: B. S. student in Mathematics of Hanoi National University of Education. Thesis title: Families of holomorphic maps into the projectivespace omitting some hyperplanes.
  • September, 1999 – December, 2001: M. S. student in Mathematics of Hanoi National University of Education. Thesis title: Algebraic criteria for Kobayashi hyperbolic projective varieties.
  •  December, 2002 – September, 2005: Ph. D. student in Mathematics of Hanoi National University of Education and Université de Bretagne Occidentale under the direction of Prof. Dr. Gerd Dethloff (France) and Prof. Dr. Do Duc Thai (Vietnam). Thesis title: Uniqueness problem of meromorphic mappings of Cm into CPn:
  • December, 2010: Habilitation à diriger des recherches, Universite de Bretagne Occidentale (France). Thesis title: On Nevanlinna Theory and Its Applications (Reviewed by Professors: Jean-Pierre Demailly- Univesité de Grenoble 1, Julien Duval- Université Paris-Sud 11, Jorg Winkelmann- Bochum University).

Employment and Scientific positions

  • Full Professor (since 2020), Associate Professor (2010-2020); Lecturer (1999 – 2010), Department of Mathematics, Hanoi National University of Education, Vietnam.
  • Member of the Scientific council of Vietnam Institute for Advancded Study in Mathematics (since 2018).

Awards and Honors

Vietnam Typical Young Face (2010) for achieving excellency in scientific research and training (This prize is awarded annually by Vietnam Government to honour ten outstanding individuals not over 35 years of age in study; scientifc research; labour; business; defence; security-social order, sports-arts-culture; social activities.)

Visiting Positions

  • Ph. D. student, May, 2003 – May, 2004, Universite de Bretagne Occidentale, France.
  • Visiting researcher, September – December, 2007, Universite de Bretagne Occidentale,

France.

  • Postdoctoral researcher, February, 2008 – February, 2010, The Abdus Salam International

Centre for Theoretical Physics, Italy.

  • Postdoctoral researcher, May-August, 2010, Mathematisches Forschungsinstitut Oberwolfach, Germany.
  • Visiting researcher, September-December, 2010, Institut des Hautes Études Scientifque,

France.

  • Visiting researcher, February-April, 2011, Max Planck Institut for Mathematics, Germany.
  • Visiting researcher, December, 2012 – April, 2013, Vietnam Institute for Advancded Study in Mathematics.
  • Visiting researcher, December, 2015, Institut des Hautes Études Scientifque, France.
  • Regular associate member, 2012-2017, The Abdus Salam International Centre for Theoretical Physics, Italy.
  • Visiting researcher, December, June- August, 2020, Vietnam Institute for Advancded Study in Mathematics.

Invited talks

  1. Uniqueness problem of meromorphic mappings of Cm into CPn: International Winter School “Geometry: Education and Research”, Hanoi, Vietnam, December, 13-18, 2004.
  2. The Second Main Theorem of meromorphic mappings with moving hypersurfaces in Value Distribution Theory and applications: International Conference on Number Theory and Related Topics, Hanoi, Vietnam, December, 12-15, 2006.
  3. Value Distribution Theory and its applications to the uniqueness problem: International Conference “Effective Aspects of Complex Hyperbolic Varieties”, Brittany, France, September 10-14, 2007.
  4. Value Distribution Theory and Normal families of meromorphic mappings: Vietnamese National Conference on Algebra, Geometry and Topology, Vinh, Vietnam, December 17-20, 2007.
  5. A second main theorem for moving hypersurface targets and some uniqueness theorems: International Conference on Complex Geometry, Hanoi, Vietnam, January 12-16, 2009.
  6. On the Second Main Theorem of Nevanlinna theory: Vietnamese National Conference on Algebra, Geometry and Topology, Thai Nguyen, Vietnam, November, 3-6, 2011.
  7. Normal family of meromorphic mappings in to the complex projective space sharing hypersurfaces: International Conference in Complex Geometry and Analysis, Hanoi, Vietnam, Ausgust, 15-19, 2012 (a satellite conference of the joint congress of the French Mathematical Society and the Vietnam Mathematical Society).
  8. Schmidt’s subspace theorem for moving hypersurface targets: Vietnamese National Conference on Algebra, Geometry and Topology, Vung Tau, Vietnam, December 18-22, 2019.
  9. On the second main theorem of Nevanlinna theory: Vietnamese National Conference on Algebra, Geometry and Topology, Hanoi, Vietnam,  September, 12-16, 2021.

Student Supervision

  • Vu Van Truong, Ph.D. (2012 – 2015).
  • Nguyen Thi Thu Hang, Ph.D. (2013 – 2016)
  • Nguyen Van Thin, Ph.D. (2014 – 2017)
  • Nguyen Thanh Son, Ph.D. (2018 – 2022).

Publications

  1. Tan, Tr. and Thai, D. (2005): Meromorphic functions sharing small functions as targets, Internat. J. Math., 16, 437-451.
  2. Tan, Tr. (2005): A family of hyperbolic hypersurfaces of low degree in P3 and in P4, Vietnam J. Math., 33, 113-121.
  3. Tan, Tr. (2005): Uniqueness polynomials for entire curves into the complex projective space, Analysis (Munich), 25, 297-314.
  4. Dethloff, G. and Tan, Tr. (2006): Uniqueness problem for meromorphic mappings with truncated multiplicities and moving targets, Nagoya Math. J., 181, 75-101.
  5. Dethloff, G. and Tan, Tr. (2006): Uniqueness problem for meromorphic mappings with truncated multiplicities and few targets, Ann. Fac. Sci. Toulouse Math., 15, 217-242.
  6. Dethloff, G. and Tan, Tr. (2006): An extension of uniqueness theorems for meromorphic mappings, Vietnam J. Math., 34, 71-94.
  7. Tan, Tr. (2007): A degeneracy theorem for meromorphic mappings with moving targets, Internat. J. Math., 18, 235-244.
  8. Quang, S. and Tan, Tr. (2008): Normal families of meromorphic mappings of several complex variables into CPn for moving hypersurfaces, Ann. Polon. Math., 94, 97-110.
  9. Tan, Tr. and Truong, V. (2008): Three meromorphic mappings sharing some common hyperplanes, J. Math. Anal. Appl., 348, 562-570.
  10. Quang, S., Tan, Tr. and Trinh, B. (2008): A uniqueness theorem for meromorphic mappings with a small set of identity, Kodai Math. J., 31, 404-413.
  11. Tan, Tr. and Trinh, B. (2008): A uniqueness theorem for meromorphic mappings without counting multiplicities, Analysis (Munich) 28, 388-399.
  12. Quang, S. and Tan, Tr. (2008): Uniqueness problem of meromorphic mappings with few targets, Ann. Univ. Mariae Curie-Sklodowska, Sect. A 62, 123-142.
  13. Tan, Tr. (2009): A degeneracy theorem for meromorphic mappings with few hyperplanes and low trancation level multiplicities, Publ. Math. Debrecen, 74, 279-292.
  14. Dethloff, G. and Tan, Tr. (2009): Uniqueness theorems for meromorphic mappings with few hyperplanes, Bull. Sci. Math., 133, 501-514.
  15. Tan, Tr. (2010): Meromorphic functions sharing four small functions, Abh. Math. Semin. Univ. Hamburg, 80, 25-35.
  16. Hang, N. and Tan, Tr. (2010): Big Picard theorems for holomorphicmappings into the  complement of (2n+1) moving hypersurfaces in CPn, Analele Stiintifice ale Universitatii Ovidius Constanta, Seria Matematica, 18, 155-162.
  17. Tan, Tr. (2010): An Extension of the Fermat-Torricelli Problem, J. Optim. Theory and Appl., 146, 735-744.
  18. Hang, N and Kien, N. and Tan, Tr. (2011): An improvement of the Nevanlinna-Gundersen theorem, J. Math. Anal. Appl. 376, 656-674.
  19. Dethloff, G. and Tan, Tr. (2011): A second main theorem for moving hypersurface targets, Houston J. Math. 37 (2011), 79-111.
  20. Dethloff, G. and Tan, Tr. (2011): A uniqueness theorem for meromorphic maps with moving hypersurfaces, Publ. Math. Debrecen 78, 347-357.
  21. Tan, Tr. and Thai, D. (2011): Uniqueness problem of meromorphic mappings for Fermat moving hypersurfaces, Ann. Polon. Math., 102, 1-13.
  22. Dethloff, G. and Tan, Tr. and Thai, D. (2011): An extension of the Cartan-Nochka second main theorem for hypersurfaces, Internat. J. Math. 22, 863-885.
  23. Dethloff, G and Quang, S. and Tan, Tr. (2012): A uniqueness theorem for meromorphic mappings with two families of hyperplanes, Proc. Amer. Math. Soc. 140 , 189-197.
  24. Tan, Tr. Truong, V. (2012): A non-integrated defect relation for meromorphicmaps of  complete Kahler manifolds into a projective variety intersecting hypersurfaces, Bull. Sci. Math. 136, 111-126.
  25. Tan, Tr. and Trinh, B. (2014): A note on the uniqueness problem of non-Archimedean holomorphic curves, Periodica Mathematica Hungarica 68, 92-99.
  26. Dethloff, G. and Tan, Tr. and Thin, Ng. (2014): Some normality critaria of meromorphic functions, J. Math. Anal. Appl., 411, 675-683.
  27. Hang, Ng. and Tan, Tr. (2015): Normal family of meromorphic mappings sharing hypersurfaces, Complex Var. and Elliptic Equ. 60, 241-251.
  28. Tan, Tr. and Truong, V. (2015): A general form of the Second MainTheorem for  hypersurfaces, Bull. Math. Soc. Sci. Math. Roumanie 58,117-124.
  29. Tan, Tr. and Thin, Ng. and Truong, V. (2017): On the normality criteria of Montel and Bergweiler-Langley, J. Math. Anal. Appl., 448, 319-325.
  30. Tan, Tr, and Thin, Ng. (2017): On Lappan’s five-point theorem, Comput. Methods Funct. Theory 17, 47-63.
  31. Son, Ng. and Tan, Tr. and Thin, Ng. (2018): Schmidt’s subspace theorem for moving hypersurface targets, Journal of Number Theory., 186, 346-369.
  32. Tan, Tr. and Thin, Ng. (2018): On the distribution of difference polynomials, Math. Reports 20, 161-170.
  33. Dethloff, G. and Tan, Tr. (2020): Holomorphic curves into algebraic varieties intersecting moving hypersurface targets, Acta. Math. Vietnam, 45, 291-308.
  34. Tan, Tr. (2021): A normality criterion for families of holomorphic mappings under a condition of uniform boundedness of their tangent mappings, Bull. Sci. Math. 170.
  35. Tan, Tr. (2022): Higher dimensional generalizations of some theorems on normality of meromorphic functions, Michigan Math. J., 74, 675-685.
  36. Son, Ng. and Tan, Tr. (2022): A property of the spherical derivative of an entire curve in complex projective space, Complex Analysis and its Synergies, 8.