(Pre) Publications
Kien Huu Nguyen, On some criterions of Poisson summation formula of Siegel-Weil type, in preparation.
Arthur Forey and Kien Huu Nguyen, On the Poincaré series of Denef-Loeser vanishing cycles and poles of twisted Igusa local zeta functions, in preparation.
Raf Cluckers, Pierre Dèbes, Yotam Hendel, Kien Huu Nguyen and Floris Vermeulen, Improvements on dimension growth bounds and effective Hilbert’s irreducibility theorem, (2023) arXiv:2311.16871.
Kien Huu Nguyen, Mathias Stout, Floris Vermeulen, Almost real closed fields with real analytic structure, arXiv:2401.10758 (2024).
Raf Cluckers, François Loeser, Kien Huu Nguyen and Floris Vermeulen, Motivic Mellin transformation, in preparation.
Kien Huu Nguyen, Exponential sums and motivic oscillation index of arbitrary ideals and their applications, preprint, arXiv:2305.19732 (2023).
Khac-Nhuan Le and Kien Huu Nguyen, On a Conjecture of Gezmis and Pellarin, preprint, arXiv:2306.12948 (2023).
Victoria Cantoral-Farfán, Kien Huu Nguyen, Mathias Stout and Floris Vermeulen, A Pila-Wilkie theorem for Hensel minimal curves, preprint, arXiv:2107.03643 (2022), to appear in Model Theory.
Kien Huu Nguyen, On a uniform bound for exponential sums modulo pm for Deligne polynomials, preprint, arXiv:2111.11898 (2021).
Kien Huu Nguyen and Willem Veys, On the motivic oscillation index and bound of exponential sums modulo p^m via analytic isomorphisms, arXiv:2008.11637, J. Math. Pures Appl. (9), 157 (2022), 211–242.
Raf Cluckers and Kien Huu Nguyen, Combining Igusa's conjectures on exponential sums and monodromy with semi-continuity of the minimal exponent, arXiv:2005.04197, to appear in Algebra and Number theory.
Wouter Castryck, Raf Cluckers, Philip Dittmann, Kien Huu Nguyen: The dimension growth conjecture, polynomial in the degree and without logarithmic factors, arXiv:1904.13109, Algebra and Number Theory, Vol. 14, No. 8, 2261--2294 (2020).
CLUCKERS, R., MUSTAŢĂ, M., NGUYEN, K. (2019). Igusa's conjecture for exponential sums: optimal estimates for non-rational singularities. Forum of Mathematics, Pi, 7, E3. doi:10.1017/fmp.2019.3 .
Kien Huu Nguyen, Uniform rationality of Poincaré series of p-adic equivalence relations and Igusa's conjecture on exponential sums, Phd thesis, Université Lille 1, arXiv:1903.06738.
Wouter Castryck and Kien Huu Nguyen, New bounds for exponential sums with a non-degenerate phase polynomial, arXiv:1801.02910, J. Math. Pures Appl. (9) 130 (2019),93–111. https://doi.org/10.1016/j.matpur.2019.01.015.
Saskia Chambille and Kien Huu Nguyen, Proof of Cluckers-Veys's conjecture on exponential sums for polynomials with log-canonical threshold at most a half, arXiv:1709.02682. Int. Math. Res. Not. IMRN (2021), no. 9, 6498–6542.
Kien Huu Nguyen, Uniform rationality of the Poincaré series of definable, analytic equivalence relations on local fields. Trans. Amer. Math. Soc. Ser. B 6 (2019), 274–296.
Pablo Cubides Kovacsics and Kien Huu Nguyen, A P-minimal structure without Skolem functions, Journal of Symbolic Logic, 82(2), 778-786. doi:10.1017/jsl.2016.58, arXiv:1605.00945.
Do Duc Thai, Nguyen Huu Kien, Hyperbolicity and integral points off divisors in subgeneral position in projective algebraic varieties. Acta Arith. 170 (2015), no. 3, 231–242.
Nguyen Thi Thanh Hang, Nguyen Huu Kien, Tran Van Tan, An improvement of the Nevanlinna- Gundersen theorem, J. Math. Anal. Appl. 376 (2011), 656 - 674.