Kien Huu Nguyen

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All published works

Action	Title	Year	Authors
+ PDF Chat	Motivic Mellin transforms	2024	Raf Cluckers François Loeser Kien Huu Nguyen Floris Vermeulen
+	On a conjecture of Gezmis and Pellarin	2024	Khac Nhuan Le Kien Huu Nguyen
+ PDF Chat	Combining Igusa’s conjectures on exponential sums and monodromy with semicontinuity of the minimal exponent	2024	Raf Cluckers Kien Huu Nguyen
+ PDF Chat	A Pila–Wilkie theorem for Hensel minimal curves	2024	Victoria Cantoral‐Farfán Kien Huu Nguyen Mathias Stout Floris Vermeulen
+	Almost real closed fields with real analytic structure	2024	Kien Huu Nguyen Mathias Stout Floris Vermeulen
+	Exponential sums and motivic oscillation index of arbitrary ideals and their applications	2023	Kien Huu Nguyen
+	On a Conjecture of Gezmis and Pellarin	2023	Khac Nhuan Le Kien Huu Nguyen
+	Improvements on dimension growth results and effective Hilbert's irreducibility theorem	2023	Raf Cluckers Pierre Dèbes Yotam I. Hendel Kien Huu Nguyen Floris Vermeulen
+	On a uniform bound for exponential sums modulo $p^m$ for Deligne polynomials	2021	Kien Huu Nguyen
+ PDF Chat	On a uniform bound for exponential sums modulo $p^m$ for Deligne polynomials	2021	Kien Huu Nguyen
+ PDF Chat	On the motivic oscillation index and bound of exponential sums modulo p via analytic isomorphisms	2021	Kien Huu Nguyen Willem Veys
+	A Pila--Wilkie theorem for Hensel minimal curves	2021	Victoria Cantoral‐Farfán Kien Huu Nguyen Mathias Stout Floris Vermeulen
+	On a uniform bound for exponential sums modulo $p^m$ for Deligne polynomials	2021	Kien Huu Nguyen
+	Igusa’s Conjecture on Exponential Sums Modulo p m and the Local-Global Principle	2020	Kien Huu Nguyen
+ PDF Chat	Combining Igusa's conjectures on exponential sums and monodromy with semi-continuity of the minimal exponent	2020	Raf Cluckers Kien Huu Nguyen
+ PDF Chat	The dimension growth conjecture, polynomial in the degree and without logarithmic factors	2020	Wouter Castryck Raf Cluckers Philip Dittmann Kien Huu Nguyen
+	On the motivic oscillation index and bound of exponential sums modulo $p^m$ via analytic isomorphisms	2020	Kien Huu Nguyen Willem Veys
+	On the motivic oscillation index and bound of exponential sums modulo $p^m$ via analytic isomorphisms	2020	Kien Huu Nguyen Willem Veys
+	Combining Igusa's conjectures on exponential sums and monodromy with semi-continuity of the minimal exponent	2020	Raf Cluckers Kien Huu Nguyen
+ PDF Chat	Uniform rationality of the Poincaré series of definable, analytic equivalence relations on local fields	2019	Kien Huu Nguyen
+	Proof of the Cluckers–Veys Conjecture on Exponential Sums for Polynomials With Log-Canonical Threshold at Most a Half	2019	Saskia Chambille Kien Huu Nguyen
+	New bounds for exponential sums with a non-degenerate phase polynomial	2019	Wouter Castryck Kien Huu Nguyen
+	Uniform rationality of Poincaré series of p-adic equivalence relations and Igusa's conjecture on exponential sums	2019	Kien Huu Nguyen
+ PDF Chat	IGUSA’S CONJECTURE FOR EXPONENTIAL SUMS: OPTIMAL ESTIMATES FOR NONRATIONAL SINGULARITIES	2019	Raf Cluckers Mircea Mustaţǎ Kien Huu Nguyen
+	Igusa's conjecture for exponential sums: optimal estimates for non-rational singularities	2018	Raf Cluckers Mircea Mustaţǎ Kien Huu Nguyen
+	New bounds for exponential sums with a non-degenerate phase polynomial	2018	Wouter Castryck Kien Huu Nguyen
+	Invariance Principles for Ergodic Systems with Slowly $$\alpha $$-Mixing Inducing Base	2018	Jianyu Chen Kien Huu Nguyen
+	Central Limit Theorem for Billiards with Flat Points	2018	Kien Huu Nguyen Hong-Kun Zhang
+	Igusa's conjecture for exponential sums: optimal estimates for non-rational singularities	2018	Raf Cluckers Mircea Mustaţǎ Kien Huu Nguyen
+	New bounds for exponential sums with a non-degenerate phase polynomial	2018	Wouter Castryck Kien Huu Nguyen
+ PDF Chat	Uniform rationality of the Poincaré series of definable, analytic equivalence relations on local fields	2017	Kien Huu Nguyen
+ PDF Chat	A <i>P</i>-MINIMAL STRUCTURE WITHOUT DEFINABLE SKOLEM FUNCTIONS	2017	Pablo Cubides Kovacsics Kien Huu Nguyen
+	Proof of Cluckers-Veys's conjecture on exponential sums for polynomials with log-canonical threshold at most a half	2017	Saskia Chambille Kien Huu Nguyen
+	Uniform rationality of the Poincar\'e series of definable, analytic equivalence relations on local fields	2016	Kien Huu Nguyen
+	Uniform rationality of the Poincaré series of definable, analytic equivalence relations on local fields	2016	Kien Huu Nguyen
+ PDF Chat	Hyperbolicity and integral points off divisors in subgeneral position in projective algebraic varieties	2015	Do Duc Thai Kien Huu Nguyen
+	An improvement of the Nevanlinna–Gundersen theorem	2010	Nguyen Thi Thu Hang Kien Huu Nguyen Van Tan Tran

Common Coauthors

Coauthor	Papers Together
Raf Cluckers	9
Wouter Castryck	4
Mircea Mustaţă	3
Floris Vermeulen	3
Mathias Stout	3
Willem Veys	3
Victoria Cantoral‐Farfán	2
Saskia Chambille	2
Floris Vermeulen	2
Khac Nhuan Le	2
Nguyen Thi Thu Hang	1
Pablo Cubides Kovacsics	1
Do Duc Thai	1
Hong-Kun Zhang	1
Yotam I. Hendel	1
François Loeser	1
Pierre Dèbes	1
Van Tan Tran	1
Philip Dittmann	1
Jianyu Chen	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Igusa and Denef-Sperber conjectures on nondegenerate p-adic exponential sums	2007	Raf Cluckers	11
+	Complex powers and asymptotic expansions. II.	1975	Jun-ichi Igusa	10
+	ON A CONJECTURE OF IGUSA	2013	Ben Lichtin	9
+	Proof of the Cluckers–Veys Conjecture on Exponential Sums for Polynomials With Log-Canonical Threshold at Most a Half	2019	Saskia Chambille Kien Huu Nguyen	9
+	Bounds for p -adic exponential sums and log-canonical thresholds	2016	Raf Cluckers Willem Veys	8
+	None	1999	Nicholas M. Katz	8
+	Report on Igusa's local zeta function	1991	Jan Denef	8
+	Resolution of Singularities of an Algebraic Variety Over a Field of Characteristic Zero: I	1964	Heisuke Hironaka	8
+	Local zeta functions and Euler characteristics	1991	Jan Denef	8
+	New bounds for exponential sums with a non-degenerate phase polynomial	2019	Wouter Castryck Kien Huu Nguyen	7
+ PDF Chat	Igusa's Conjecture on Exponential Sums Modulo p and p2 and the Motivic Oscillation Index	2008	Raf Cluckers	7
+	On a conjecture of Igusa II	2016	Ben Lichtin	7
+ PDF Chat	Fields with analytic structure	2011	Raf Cluckers Leonard Lipshitz	7
+ PDF Chat	Constructible motivic functions and motivic integration	2008	Raf Cluckers François Loeser	7
+ PDF Chat	Exponential sums: Questions by Denef, Sperber, and Igusa	2009	Raf Cluckers	7
+ PDF Chat	On the log canonical threshold and numerical data of a resolution in dimension 2	2019	Willem Veys	6
+	On the Degree of Igusa's Local Zeta Function	1987	Jan Denef	6
+ PDF Chat	On the holomorphy conjecture for Igusa’s local zeta function	1995	Jan Denef Willem Veys	6
+	Singularities of pairs via jet schemes	2002	Mircea Mustaţǎ	5
+	Newton Polyhedra and Igusa's Local Zeta Function	2001	Jan Denef Kathleen Hoornaert	5
+	Exponential sums mod p(n) and Newton polyhedra	2001	Jan Denef Steven Sperber	5
+	Reduction of Algebraic Varieties with Respect to a Discrete Valuation of the Basic Field	1955	Goro Shimura	5
+	La conjecture de Weil. I	1974	Pierre Deligne	5
+ PDF Chat	IGUSA’S CONJECTURE FOR EXPONENTIAL SUMS: OPTIMAL ESTIMATES FOR NONRATIONAL SINGULARITIES	2019	Raf Cluckers Mircea Mustaţǎ Kien Huu Nguyen	4
+	On Some Exponential Sums	1948	André Weil	4
+	A Poisson formula and exponential sums	1976	Jun-ichi Igusa	4
+ PDF Chat	Analytic $p$-adic cell decomposition and integrals	2003	Raf Cluckers	4
+	On certain representations of semi-simple algebraic groups and the arithmetic of the corresponding invariants (1)	1971	Jun-ichi Igusa	4
+	On the Poles of Maximal Order of the Topological Zeta Function	1999	Ann Laeremans Willem Veys	4
+	Singularities of pairs	2004	Janós Kollár Karen E. Smith Alessio Corti	4
+ PDF Chat	Poles of maximal order of motivic zeta functions	2015	Johannes Nicaise Chenyang Xu	4
+ PDF Chat	Semi-continuity of complex singularity exponents and Kähler–Einstein metrics on Fano orbifolds	2001	Jean-Pierre Demailly Janós Kollár	3
+ PDF Chat	On a certain poisson formula	1974	Jun-ichi Igusa	3
+	The rationality of the Poincar� series associated to thep-adic points on a variety	1984	Jan Denef	3
+ PDF Chat	Unexpected imaginaries in valued fields with analytic structure	2013	Deirdre Haskell Ehud Hrushovski Dugald Macpherson	3
+ PDF Chat	On a Conjecture of Igusa in Two Dimensions	2020	James Wright	3
+ PDF Chat	Relative decidability and definability in henselian valued fields	2011	Joseph Flenner	3
+ PDF Chat	On the Arithmetic of Pfaffians	1972	Jun-ichi Igusa	3
+	Newton polyhedra and the poles of Igusa's local zeta function	2002	Kathleen Hoornaert	3
+ PDF Chat	Quelques applications du théorème de densité de Chebotarev	1981	Jean-Pierre Serre	3
+ PDF Chat	NON-ARCHIMEDEAN YOMDIN–GROMOV PARAMETRIZATIONS AND POINTS OF BOUNDED HEIGHT	2015	Raf Cluckers Georges Comte François Loeser	3
+	Complex powers and asymptotic expansions. I. Functions of certain types.	1974	Jun-ichi Igusa	3
+ PDF Chat	Model theory: an introduction	2003	David Marker	3
+	The number of integral points on arcs and ovals	1989	Enrico Bombieri Jonathan Pila	3
+	Rationality of p-adic poincaré series: uniformity in p	1990	Angus Macintyre	3
+ PDF Chat	Transfer Principles for Bounds of Motivic Exponential Functions	2016	Raf Cluckers Julia Gordon Immanuel Halupczok	3
+	Uniform p-adic cell decomposition and local zeta functions.	1989	Johan Pas	3
+	Exponential sums and polynomial congruences in two variables: the quasi-homogeneous case	2012	James Wright	3
+ PDF Chat	Pure and mixed exponential sums	1999	Todd Cochrane Zhiyong Zheng	3
+ PDF Chat	Forms in many variables and differing degrees	2017	T. D. Browning D. R. Heath‐Brown	3