Nguyen Hong Duc
Research interests
Singularity Theory, Algebraic Geometry, Real and Complex Geometry
Education
2013 Ph.D. in Mathematics University of Kaiserslautern, Germany
2007 M.A. in Mathematics Hanoi Institute of Mathematics, Vietnam
2004 B.S. in Mathematics Hanoi National University of Education, Vietnam
Honors and awards
DAAD Scholarship. 2009-2013
Oberwolfach-Leibniz Fellowship. 04/2013-06/2013 and 04/2014-06/2014.
Publications
1. Right unimodal and bimodal singularities in positive characteristic, IMRN
(2017).
2. Euler reflexion formulas for motivic zeta functions (with Q. T. Lˆe), J. Algebraic Geometry 27, 91-120(2018).
3. Right simple singularities in positive characteristic (with G.-M. Greuel), J. Reine Angew. Math. 712 (2016), 81–106.
4. Invariants of plane curve singularities and Pl ucker formulas in positive characteristic, Annales de l’institut Fourier Vol. 66 no. 5 (2016), 2047–2066. 5. The right classification of univariate power series in positive characteristic, J. Singularities 10 (2014), 235–249.
6. Some remarks on the planar Kouchnirenko’s theorem (with G.-M. Greuel), Rev. Mat. Complut.
25 (2012), no. 2, 557-579.
7. On the stability of gradient systems at infinity (with Ha Huy Vui), On the stability of gradient systems at infinity, Nonlinear Anal. 74(2011), no. 1, 257–262.
8. Lojasiewicz inequality at infinity for polynomials in two real variables (with Ha Huy Vui), Math. Z. 266 (2010), no. 2, 243–264.
9. A formula for the Lojasiewicz exponent at infinity in the real plane via real approximations (with Ha Huy Vui), Hokkaido Math. J., 38 (2009), no. 3, 417–435.
10. Lojasiewicz exponent of the gradient near the fibre (with Ha Huy Vui), Ann. Polo. Math. 96 (2009), 197–207.
11. On the Lojasiewicz exponent near the fibre of polynomial mappings (with Ha Huy Vui), Ann. Polo. Math. 94 (2008), 43–52.