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Mathematics

D-Index
35
Citations
5635
World Ranking
2760
National Ranking
1130

Overview

Lou van den Dries is affiliated with the University of Illinois at Urbana-Champaign in the United States. Their research primarily focuses on mathematics, with 27 publications contributing to this field. Within mathematics, their work spans several subfields, including applied mathematics, geometry and topology, computational theory and mathematics, mathematical physics, and finance.

Their research topics encompass various advanced areas such as:

  • Advanced Harmonic Analysis Research
  • Advanced Topology and Set Theory
  • Meromorphic and Entire Functions
  • Mathematical Dynamics and Fractals
  • Advanced Differential Equations and Dynamical Systems
  • Cellular Automata and Applications
  • Algebraic Geometry and Number Theory

Lou van den Dries has contributed to multiple peer-reviewed journals and venues throughout their career. Frequent publication venues include:

  • arXiv (Cornell University)
  • Proceedings of the Edinburgh Mathematical Society
  • Notices of the American Mathematical Society
  • Expositiones Mathematicae
  • Revista de la Unión Matemática Argentina

Recent papers authored or co-authored by Lou van den Dries include:

  • "Revisiting closed asymptotic couples," 2022, Proceedings of the Edinburgh Mathematical Society
  • "Transseries, Model Theory, and Hardy Fields," 2022, Notices of the American Mathematical Society
  • "On the Pila-Wilkie theorem," 2022, Expositiones Mathematicae
  • "On a differential intermediate value property," 2022, Revista de la Unión Matemática Argentina
  • "Revisiting closed asymptotic couples," 2021, arXiv (Cornell University)

Collaboration has been a significant part of their work, with frequent co-authors including:

  • Matthias Aschenbrenner
  • Joris van der Hoeven
  • Neer Bhardwaj

Best Publications

  • Geometric categories and o-minimal structures

    Lou van den Dries;Chris Miller

  • P-adic and real subanalytic sets

    J. Denef;L. van den Dries

  • The Elementary Theory of Restricted Analytic Fields with Exponentiation

    Lou van den Dries;Angus Macintyre;David Marker

  • Gromov's theorem on groups of polynomial growth and elementary logic

    Unknown

  • On the real exponential field with restricted analytic functions

    Lou van den Dries;Chris Miller

  • A generalization of the Tarski-Seidenberg theorem, and some nondefinability results

    Lou van den Dries

  • THE REAL FIELD WITH CONVERGENT GENERALIZED POWER SERIES

    Lou van den Dries;Patrick Speissegger;Patrick Speissegger

  • T -convexity and tame extensions

    Lou van den Dries;Adam H. Lewenberg

  • On the real exponential field with restricted analytic functions

    Unknown

  • Dense pairs of o-minimal structures

    Lou van den Dries

  • Definable sets over finite fields

    Zoé Chatzidakis;Lou van den Dries;Angus Macintyre

  • Bounds in the theory of polynomial rings over fields. A nonstandard approach

    Unknown

  • Dimension of definable sets, algebraic boundedness and Henselian fields

    Lou Van den Dries

  • Logarithmic-Exponential Power Series

    Lou van den Dries;Angus Macintyre;David Marker

  • The field of reals with multisummable series and the exponential function

    Lou Van Den Dries;Patrick Speissegger

  • Remarks on Tarski's problem concerning (R, +, *, exp)

    Lou van den Dries

  • Asymptotic Differential Algebra and Model Theory of Transseries

    Matthias Aschenbrenner;Lou van den Dries;Joris van der Hoeven

  • ONE-DIMENSIONAL p -ADIC SUBANALYTIC SETS

    Lou van den Dries;Deirdre Haskell;Dugald MacPherson

  • Alfred Tarski's elimination theory for real closed fields

    Lou van den Dries

  • Logarithmic-exponential series

    Lou van den Dries;Angus Macintyre;David Marker

  • THE FIELDS OF REAL AND COMPLEX NUMBERS WITH A SMALL MULTIPLICATIVE GROUP

    Lou Van Den Dries;Ayhan Günaydin

  • Elimination of Quantifiers in Algebraic Structures

    Angus Macintyre;Kenneth McKenna;Lou van den Dries

  • Algebraic theories with definable Skolem functions

    Lou van den Dries

Frequent Co-Authors

Anand Pillay
Anand Pillay University of Notre Dame
Michael F. Singer
Michael F. Singer North Carolina State University

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