Maximal immediate extensions of valued
differential fields (with L. van
den Dries and J. van
der Hoeven), submitted. |
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Dimension in the realm of transseries
(with L. van
den Dries and J. van
der Hoeven), Contemp. Math., to appear. |
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The surreal numbers as a universal
H-field (with L. van
den Dries and J. van
der Hoeven)J. Eur. Math. Soc. (JEMS), to appear. |
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Asymptotic
Differential Algebra and Model Theory of
Transseries (with L. van
den Dries and J. van
der Hoeven)Ann. of Math. Stud., to appear. |
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Julia's Equation and differential
transcendence (with W.
Bergweiler), Illinois J. Math. 59 (2015), no. 2, 277-294. |
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Transseries and Todorov-Vernaeve's asymptotic
fields (with I. Goldbring) Arch. Math. Logic 53 (2014), 65-87. |
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Toward a model theory for transseries
(with L. van
den Dries and J. van
der Hoeven) Notre Dame J. Form. Log. 54 (2013), no. 3-4,
279-310. |
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Logarithms of iteration matrices, and proof of a
conjecture by Shadrin and Zvonkine J. Combin. Theory Ser. A 119 (2012), 627-654. |
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Differentially algebraic gaps (with L. van
den Dries and J. van
der Hoeven) Selecta Math. 11 (2005), 247-280. |
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Asymptotic differential algebra (with L. van
den Dries) In: O. Costin, M. D. Kruskal, A. Macintyre (eds.), Analyzable Functions and Applications, Contemp. Math. 373, Amer. Math. Soc., Providence, RI (2005), 49-85. |
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Liouville closed H-fields (with L. van
den Dries) J. Pure Appl. Algebra 197 (2005), 83-139. |
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Some remarks about asymptotic couples In: F.-V. Kuhlmann, S. Kuhlmann, M. Marshall (eds.), Valuation Theory and its Applications, II, Fields Institute Publications 33, AMS, Providence, RI (2003), 7-18. |
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H-fields and their Liouville extensions
(with L. van
den Dries) Math. Z. 242 (2002), 543-588. |
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Closed asymptotic couples (with
L. van den Dries) J. Algebra 225, 309-358 (2000). (For an expanded version of this paper click here.) |

The logical complexity of finitely
generated commutative rings (with A.
Khélif, E.
Naziazeno, and T. Scanlon),
submitted. |
||

Whitney's Extension Problem in o-minimal
structures (with A.
Thamrongthanyalak), submitted. |
||

Michael's Selection Theorem in a
semilinear context (with A.
Thamrongthanyalak)Adv. Geom. 15 (2015), no. 3, 293-313. |
||

Vapnik-Chervonenkis density in some theories
without the independence property, I (with A. Dolich, D. Haskell,
D.
Macpherson, and S. Starchenko) Trans. Amer. Math. Soc. 368 (2016), 5889-5949. |
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Vapnik-Chervonenkis density in some theories
without the independence property, II (with A. Dolich, D. Haskell,
D.
Macpherson, and S. Starchenko) Notre Dame J. Form. Log. 54 (2013), no. 3-4,
311-363. |
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Definable
versions
of theorems by Kirszbraun and Helly (with A. Fischer) Proc. London Math. Soc. 102 (2011), 468-502. |
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Strongly minimal groups in the theory of compact
complex spaces (with R. Moosa
and T.
Scanlon) J. Symbolic Logic 71 (2006), 529-552. |

Decision problems for 3-manifolds
and their fundamental groups (with S.
Friedl and H.
Wilton)Geom. Topol. Monogr. 19 (2015), 201-236. |
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3-Manifold Groups (with S.
Friedl and H.
Wilton) EMS Series of Lectures in Mathematics, vol. 20, European Mathematical Society (EMS), Zürich, 2015. |
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3-manifold groups are virtually residually p (with S.
Friedl) Mem. Amer. Math. Soc. 225 (2013), no. 1058. |
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Residual properties of graph manifold groups
(with S.
Friedl) Topology Appl. 158 (2011), 1179-1191. |
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A criterion for HNN extensions of finite p-groups
to be residually p (with S.
Friedl) J. Pure Appl. Algebra 215 (2011), 2280-2289. |

An effective Weierstrass Division Theorem | ||

Algorithms for computing saturations of ideals in
finitely generated commutative rings Appendix to: Automorphisms mapping a point into a subvariety, J. Algebraic Geom. 20 (2011), 785-794. (by B. Poonen) |
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Degree bounds for Gröbner bases in algebras of
solvable type (with A.
Leykin) J. Pure Appl. Algebra 213 (2009), 1578-1605. |
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Lefschetz extensions, tight closure, and big
Cohen-Macaulay algebras (with H.
Schoutens) Israel J. Math. 161 (2007), 221-310. |
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Finite generation of symmetric ideals
(with C.
Hillar) Trans. Amer. Math. Soc. 359 (2007), 5171-5192. |
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Finiteness theorems in stochastic integer
programming (with R.
Hemmecke) Found. Comput. Math. 7 (2007), 183-227. |
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Bounds and definability in polynomial rings Quart. J. Math. 56 (2005), 263-300. |
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Reduction mod p of standard bases Comm. Algebra 33 (2005), 1635-1661. |
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Orderings of monomial ideals (with W.-Y. Pong) Fund. Math. 181 (2004), 27-74. |
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Ideal membership in polynomial rings over the
integers J. Amer. Math. Soc. 17 (2004), 407-441. |

An elimination theorem for mixed real-integer
systems |
||

Differential transcendence of iterative
logarithms |