Updated on 2024/12/21

写真a

 
YASUFUKU, Yu
 
Affiliation
Faculty of Education and Integrated Arts and Sciences, School of Education
Job title
Professor
Homepage URL
https://yasufuku.w.waseda.jp/

Research Experience

  • 2024.04
    -
    Now

    Waseda University   Faculty of Education and Integrated Arts and Sciences, Department of Mathematics   Professor

  • 2019.04
    -
    2024.03

    Nihon University, College of Science and Technology   Department of Mathematics   Professor

  • 2020.04
    -
    2021.03

    Tsuda University   College of Policy Studies   Adjunct Lecturer

  • 2020.04
    -
    2021.03

    Osaka University   Graduate School of Science, Department of Mathematics   Adjunct Lecturer (Graduate School Intensive Lecture Series)

  • 2019.04
    -
    2019.09

    Tsuda University   College of Policy Studies   Adjunct lecturer

  • 2014.04
    -
    2019.03

    Nihon University, College of Science and Technology   Department of Mathematics   Associate Professor

  • 2017.04
    -
    2017.09

    Tokyo Institute of Technology   School of Science, Department of Mathematics   Adjunct Professor (Graduate School Lecture Series)

  • 2011.04
    -
    2014.03

    Department of Mathematics, College of Science and Technology, Nihon University, Assistant Professor

  • 2013.10
    -
    2013.12

    Tokyo Metropolitan University   Graduate School of Science and Engineering   Adjunct Faculty (Graduate School Lecture Series)

  • 2010.04
    -
    2011.03

    Department of Mathematics, School of Engineering, Tokyo Denki University, Assistant Professor

  • 2008.09
    -
    2010.03

    Department of Mathematics, City University of New York, Graduate Center, Visiting Assistant Professor

▼display all

Education Background

  • 2005.09
    -
    2008.05

    Brown University   Graduate School, Division of Mathematics   Mathematics  

  • 2000.09
    -
    2004.06

    Massachusetts Institute of Technology   Graduate School, Division of Mathematics   Mathematics  

  • 1996.09
    -
    2000.06

    Harvard University   ****   Department of Mathematics  

Committee Memberships

  • 2020.03
    -
    2021.02

    日本数学会  地方区代議員

Professional Memberships

  • 2009.04
    -
    Now

    Mathematical Society of Japan

  • 2000.09
    -
    Now

    American Mathematical Society

Research Areas

  • Algebra   Algebra

Research Interests

  • periodic points.

  • integral points

  • moduli problems

  • rational points.

  • rational and integral points on algebraic varieties.

  • abc conjecture

  • arithmetic dynamics

  • inequalities of GCD's

  • blowups

  • height functions

  • Vojta's conjecture

  • Schmidt's subspace theorem

  • Diophantine analysis

  • Diophantine geometry

▼display all

Awards

  • Nihon University College of Science and Technology Academic Prize

    2018.11   Nihon University, College of Science and Technology   Research on Vojta's Conjecture and Arithmetic Dynamics

    Winner： Yu Yasufuku

  • Outstanding Reviewer Award

    2015.06   Elsevier  

    Winner： Yu Yasufuku

  • Dissertation Fellowship (Brown University)

    2008.05   Vojta's Conjecture and Blowups

  • summa cum laude (Harvard University)

    2000.06   Deformation Theory of Formal Modules

 

Papers

  • GCD inequalities inspired by Vojta’s conjecture

    Yu Yasufuku

    Monatshefte für Mathematik    2024.09  [Refereed]

    Authorship：Lead author, Last author, Corresponding author

    　View Summary

    Abstract

    We prove several GCD inequalities inspired by Vojta’s deep conjecture in Diophantine geometry. These inequalities work with all algebraic numbers, so they can be thought of as attempts to extend GCD inequalities for S-units obtained by Corvaja and Zannier. Some of the inequalities we derive are weakened versions of inequalities obtained by Silverman under the assumption of Vojta’s conjecture. The upper bounds for the GCD’s in these inequalities all involve some contributions of heights and some contributions coming from the local heights outside S. The main ingredient of the proofs is the recent Diophantine approximation result of Ru and Vojta which is based on Schmidt subspace theorem and which involves a birational invariant coming from the asymptotic growth of the number of global sections of certain line bundles.

    DOI

    Scopus

  • Greatest common divisors of integral points of numerically equivalent divisors

    Julie Tzu-Yueh Wang and Yu Yasufuku

    Algebra & Number Theory   15 ( 1 ) 287 - 305  2021.03  [Refereed]  [International journal]  [International coauthorship]

    Authorship：Lead author, Corresponding author

    　View Summary

    (to appear)

    DOI

    Scopus

    4
    Citation
    (Scopus)

  • Uniform bounds for integral points in orbits on projective varieties

    Yu Yasufuku

    Math. Proc. Cambridge Philos. Soc.    2024.11  [Refereed]  [International journal]

    Authorship：Lead author, Last author, Corresponding author

    　View Summary

    (to appear)

  • Problems on rational points and arithmetic dynamics

    Yu Yasufuku

    Kyoto University RIMS Kokyuroku   2211   178 - 194  2022.01  [Invited]  [Domestic journal]

    Authorship：Lead author

    　View Summary

    Proceedings of "Various Problems in Complex Geometry II"

  • Heights and Arithmetic Dynamics

    Yu Yasufuku

    RIMS Kokyuroku Bessatsu   B86   229 - 246  2021  [Refereed]  [Invited]  [Domestic journal]

    Authorship：Lead author

    　View Summary

    to appear

  • Integral points and orbits of endomorphisms on the projective plane

    Aaron Levin and Yu Yasufuku

    Transactions of the American Mathematical Society   371 ( 2 ) 971 - 1002  2019.01  [Refereed]  [International journal]

    Authorship：Lead author

    　View Summary

    American Mathematical Society

    DOI

    Scopus

    2
    Citation
    (Scopus)

  • Abelian Varieties and Arithmetic Dynamics--Similarities and Differences

    Yu Yasufuku

    Mathematical Society of Japan, Autumn Meeting Featured Invited Talks Proceedings     69 - 80  2018.09  [Invited]  [Domestic journal]

    Authorship：Lead author

    　View Summary

    Mathematical Society of Japan

  • Vojta's conjecture on rational surfaces and the abc conjecture

    Yu Yasufuku

    Forum Mathematicum   30 ( 3 ) 631 - 649  2018.05  [Refereed]

    　View Summary

    We prove Vojta's conjecture for some rational surfaces. Moreover, for similar but different rational surfaces, we show that their Vojta's conjecture is related to the abc conjecture. More specifically, we prove that Vojta's conjecture on these surfaces implies a special case of the abc conjecture, while the abc conjecture implies Vojta's conjecture on these surfaces. The argument carries over to the holomorphic case, so we unconditionally obtain Griffiths' conjecture for the same situation. To prove these results, we prove and use some properties of Farey sequences.

    DOI

    Scopus

    1
    Citation
    (Scopus)

  • A large arboreal Galois representation for a cubic postcritically finite polynomial

    Robert L. Benedetto, Xander Faber, Benjamin Hutz, Jamie Juul, Yu Yasufuku

    Research in Number Theory   3 ( 1 ) 1 - 21  2017.12  [Refereed]

    　View Summary

    We give a complete description of the arboreal Galois representation of a certain postcritically finite cubic polynomial over a large class of number fields and for a large class of basepoints. This is the first such example that is not conjugate to a power map, Chebyshev polynomial, or Lattès map. The associated Galois action on an infinite ternary rooted tree has Hausdorff dimension bounded strictly between that of the infinite wreath product of cyclic groups and that of the infinite wreath product of symmetric groups. We deduce a zero-density result for prime divisors in an orbit under this polynomial. We also obtain a zero-density result for the set of places of convergence of Newton’s method for a certain cubic polynomial, thus resolving the first nontrivial case of a conjecture of Faber and Voloch.

    DOI

    Scopus

    11
    Citation
    (Scopus)

  • Vojta's Conjecture, GCD, and Dynamics

    Yu Yasufuku

    Kinosaki Rookie Seminar Reports   14   1 - 9  2017.06  [Invited]  [Domestic journal]

    Authorship：Lead author

  • Vojta's Conjecture on Rational Surfaces

    Yu Yasufuku

    MSJ Algebra Symposium Reports   61   158 - 163  2017.03  [Invited]  [Domestic journal]

    Authorship：Lead author

  • Uniform Boundedness of Units in Orbits

    Yu Yasufuku

    Kyoto University Research Institute for Mathematical Sciences Kokyuroku   2013 ( 2013 ) 152 - 156  2016.12  [Invited]  [Domestic journal]

    Authorship：Lead author

    　View Summary

    Mathematica

    CiNii

  • Strong, Absolute, and Hyperplane Winning

    Yu Yasufuku

    Oberwolfach Reports   2016 ( 48 ) 25 - 27  2016.11  [Invited]  [International journal]

    Authorship：Lead author

    DOI

  • Arithmetic Properties of Orbits in Higher Dimensions

    Yu Yasufuku

    RIMS Kokyuroku Bessatsu   B53   231 - 242  2015.09  [Refereed]  [Invited]  [Domestic journal]

    Authorship：Lead author

    　View Summary

    Mathematica Inc

  • Integral points and relative sizes of coordinates of orbits in

    Yu Yasufuku

    MATHEMATISCHE ZEITSCHRIFT   279 ( 3-4 ) 1121 - 1141  2015.04  [Refereed]

    　View Summary

    We give a generalization to higher dimensions of Silverman's result on finiteness of integer points in orbits. Assuming Vojta's conjecture, we prove a sufficient condition for morphisms on so that -integral points in each orbit are Zariski-non-dense. This condition is geometric, and for dimension 1 it corresponds precisely to Silverman's hypothesis that the second iterate of the map is not a polynomial. In fact, we will prove a more precise formulation comparing local heights outside to the global height. For hyperplanes, this amounts to comparing logarithmic sizes of the coordinates, generalizing Silverman's precise version in dimension 1. We also discuss a variant where we can conclude that integral points in orbits are finite, rather than just Zariski-non-dense. Further, we show unconditional results and examples, using Schmidt's subspace theorem and known cases of Lang-Vojta conjecture. We end with some extensions to the case of rational maps and to the case when the arithmetic of the orbit under one map is controlled by the geometric properties of another. We include many explicit examples to illustrate different behaviors of integral points in orbits in higher dimensions.

    DOI

    Scopus

    2
    Citation
    (Scopus)

  • UNIFORM BOUNDEDNESS OF S-UNITS IN ARITHMETIC DYNAMICS

    Holly Krieger, Aaron Levin, Zachary Scherr, Thomas Tucker, Yu Yasufuku, Michael E. Zieve

    PACIFIC JOURNAL OF MATHEMATICS   274 ( 1 ) 97 - 106  2015.03  [Refereed]

    　View Summary

    Let K be a number field and let S be a finite set of places of K which contains all the archimedean places. For any phi(z) is an element of K(z) of degree d >= 2 which is not a d-th power in (K) over bar (z), Siegel's theorem implies that the image set phi(K) contains only finitely many S-units. We conjecture that the number of such S-units is bounded by a function of vertical bar S vertical bar and d (independently of K, S and phi). We prove this conjecture for several classes of rational functions, and show that the full conjecture follows from the Bombieri-Lang conjecture.

    DOI

    Scopus

    5
    Citation
    (Scopus)

  • Deviation from S-Integrality in Orbits on Pn

    Yu Yasufuku

    Bulletin of the Institute of Mathematics, Academia Sinica   9 ( 4 ) 603 - 632  2014.12  [Refereed]

    Authorship：Lead author

  • Exponential-Polynomial Equations and Dynamical Return Sets

    Thomas Scanlon, Yu Yasufuku

    INTERNATIONAL MATHEMATICS RESEARCH NOTICES   2014 ( 16 ) 4357 - 4367  2014  [Refereed]

    　View Summary

    We show that every exponential-polynomial set may be realized as the return set for an action of N-n on a power of the multiplicative group via algebraic endomorphisms with an algebraic variety as the target set. Here, by an exponential-polynomial set we mean a subset of N-m defined by finitely many equations of the form f(l(1),...,l(m); alpha(l1)(1),..., alpha(ln)(1),..., alpha(l1)(t),...alpha(lm)(t))=0 where f is a polynomial with integral coefficients and each alpha(j) is an algebraic integer. An action of N-n on G(m)(N) is given by a sequence of n commuting algebraic group endomorphisms psi(j) : G(m)(N)-> G(m)(N) via the rule (l(1),...,l(n))center dot a:=psi(degrees l1)(1) circle...circle psi(circle ln)(n) (a). Given such an action, a point a.is an element of G(m)(N)( C) and a subset Y subset of G(m)(N) (C), the return set is E(a, Y) := {(l(1),...,l(n)) := (l(1),...,l(n))is an element of N-n: (l(1),...,l(n))center dot a is an element of Y}. Our main theorem is that every exponential-polynomial set is a return set for Y the rational points on an algebraic variety. The converse that every such return set is polynomial-exponential is implicit in the work of Ghioca, Tucker, and Zieve. Our result shows that natural questions about algebraic dynamics are undecidable.

    DOI

    Scopus

    6
    Citation
    (Scopus)

  • Vojta's Conjecture on Surfaces

    Yu Yasufuku

    The 55th Symposium of Complex Analysis     35 - 43  2012.11  [Invited]  [Domestic journal]

    Authorship：Lead author

  • Integral Points and Vojta's Conjecture on Rational Surfaces

    Yu Yasufuku

    Transactions of the American Mathematical Society   364 ( 2 ) 767-784 - 784  2012.02  [Refereed]

    Authorship：Lead author

    　View Summary

    Using an inequality by Corvaja and Zannier about gcd's of polynomials in S-units, we verify Vojta's conjecture (with respect to integral points) for rational surfaces and triangular divisors. This amounts to a gcd inequality for integral points on G(m)(2). The argument in the proof is generalized to give conditions under which Vojta's conjecture on a variety implies Vojta's conjecture on its blowup.

    DOI

    Scopus

    6
    Citation
    (Scopus)

  • An abc-type Inequality and Arithmetic Dynamics on Rational Varieties Based on Nevanlinna Theory and Vojta’s Conjecture

    Yu Yasufuku

       2011.12  [Domestic journal]

    Authorship：Lead author

    　View Summary

    Thesis for the University of Tokyo

  • Monomial maps on P-2 and their arithmetic dynamics

    Aryeh Gregor, Yu Yasufuku

    JOURNAL OF NUMBER THEORY   131 ( 12 ) 2409 - 2425  2011.12  [Refereed]

    　View Summary

    We say that a rational map on P-n is a monomial map if it can be expressed in some coordinate system as [F-0 : ... : F-n] where each F-1 is a monomial. We consider arithmetic dynamics of monomial maps on P-2. In particular, as Silverman (1993) explored for rational maps on P-1, we determine when orbits contain only finitely many integral points. Our first result is that if some iterate of a monomial map on P2 is a polynomial, then the first such iterate is 1, 2, 3, 4, 6, 8, or 12. We then completely determine all monomial maps whose orbits always contain just finitely many integral points. Our condition is based on the exponents in the monomials. In cases when there are finitely many integral points in all orbits, we also show that the sizes of the numerators and the denominators are comparable. The main ingredients of the proofs are linear algebra, such as Perron-Frobenius theorem. (C) 2011 Elsevier Inc. All rights reserved.

    DOI

    Scopus

  • Vojta's conjecture on blowups of P-n, greatest common divisors, and the abc conjecture

    Yu Yasufuku

    MONATSHEFTE FUR MATHEMATIK   163 ( 2 ) 237 - 247  2011.06  [Refereed]

    　View Summary

    We will prove some cases of Vojta's conjecture on blowups of P-n, using Schmidt's subspace theorem. The results can be stated as inequalities of greatest common divisors. Moreover, from Vojta's conjecture on one further blowup at an infinitely near point, we derive a still-open special case of the abc-conjecture.

    DOI

    Scopus

    7
    Citation
    (Scopus)

  • Vojta's Conjecture and Dynamics

    Yu Yasufuku

    RIMS Kokyuroku Bessatsu   B25   75-86  2011.04  [Refereed]

    Authorship：Lead author

  • Explicit descriptions of quadratic maps on P-1 defined over a field K

    Michelle Manes, Yu Yasufuku

    ACTA ARITHMETICA   148 ( 3 ) 257 - 267  2011  [Refereed]

    DOI

    Scopus

    3
    Citation
    (Scopus)

  • Vojta's Conjecture and Blowups

    Yu Yasufuku

       2008.05  [International journal]

    Authorship：Lead author

    　View Summary

    Ph.D. Dissertation at Brown University

  • Characterization of Completions of Reduced Local Rings

    Dan Lee, Leanne Leer, Shara Pilch, and Yu Yasufuku

    Proceedings of the American Mathematical Society   129 ( 11 ) 3193-3200 - 3200  2001.11  [Refereed]

    Authorship：Lead author

    　View Summary

    We find necessary and sufficient conditions for a complete local ring to be the completion of a reduced local ring. Explicitly, these conditions on a complete local ring T with maximal ideal m are (i) m = (0) or m = is not an element of AssT, and (ii) for all p is an element of Ass T, if r is an element of p is an integer of T, then Ann(T) (r) not subset of or equal to p.

    DOI

  • Excellent Rings with Singleton Formal Fibers

    Dan Lee, Leanne Leer, Shara Pilch, and Yu Yasufuku

    Furman University Journal for Undergraduate Mathematics   5   1-9  1999.12  [Refereed]

    Authorship：Lead author

▼display all

Books and Other Publications

  • 数論入門事典

    加藤, 文元, 砂田, 利一( Part： Contributor, 18章「ディオファントス近似」24章「ディオファントス方程式」)

    朝倉書店  2023.06 ISBN: 9784254111590

  • An Illustrated Theory of Numbers

    Yu Yasufuku( Part： Sole translator, Entire book)

    Maruzen Publishing  2022.10 ISBN: 9784621307281

  • Number Theory -- Accumulating Discoveries and Conjectures

    Yu Yasufuku( Part： Sole author, entire book)

    Ohmsha  2016.12 ISBN: 9784274219696

    　View Summary

    The easiest number theory book, including introduction to the abc conjecture and cryptography

Presentations

  • TBA

    Yu Yasufuku  [Invited] [International coauthorship]

    Focused Workshop on Nevanlinna Theory and Hyperbolicity  (Academia Sinica) 

    Presentation date： 2024.12

    Event date：
    2024.12
    　
    　

    　View Summary

    (scheduled)

  • Vojta's conjecture and its applications to GCD's and dynamics

    Yu Yasufuku  [Invited]

    University of Tsukuba Colloquium  (University of Tsukuba) 

    Presentation date： 2024.12

    Event date：
    2024.12
    　
    　

  • FOM and FOD for rational functions

    Yu Yasufuku  [Invited]

    Recent progress in complex dynamics and related topics  (Research Institute for Mathematical Sciences, Kyoto University) 

    Presentation date： 2024.12

    Event date：
    2024.12
    　
    　

  • Asymptotic properties of rational points and intersection theory

    Yu Yasufuku  [Invited]

    Kinosaki Algebraic Geometry Symposium  (Kinosaki) 

    Presentation date： 2024.10

    Event date：
    2024.10
    　
    　

    　View Summary

    (scheduled)

  • Comparing various recent results in Diophantine approximations

    Yu Yasufuku  [Invited]

    2024 Oita Nagasaki Number Theory Conference  (Nagasaki University)  Oita University

    Presentation date： 2024.09

    Event date：
    2024.09
    　
    　

  • Towards rational representatives for the moduli spaces of dynamical systems on P^1

    Yu Yasufuku  [Invited]

    Moduli spaces and Arithmetic  (Nagoya University)  Nagoya University

    Presentation date： 2024.09

    Event date：
    2024.09
    　
    　

  • Vojta's conjecture and related problems on GCD's and dynamics

    Yu Yasufuku  [Invited]

    Number Theory Seminar at Waseda University  (Waseda University)  Waseda University

    Presentation date： 2024.04

    Event date：
    2024.04
    　
    　

  • Bounding GCD's of Evaluations of Two Trivariate Polynomials

    Yu Yasufuku  [Invited]

    Diophantine Analysis and Related Fields  (Gunma University) 

    Presentation date： 2024.03

    Event date：
    2024.03
    　
    　

  • Uniform boundedness of integral points in orbits

    Yu Yasufuku  [Invited]

    Workshop on Dynamics in Arithmetic and Complex Geometry and its applications  (Osaka City University)  Osaka Central Advanced Mathematical Institute

    Presentation date： 2024.01

    Event date：
    2024.01
    　
    　

  • Applying Ru--Vojta method to GCD inequalities

    Yu Yasufuku  [Invited]

    International Workshop on Several Complex Variables, Complex Geometry and Diophantine Geometry  (Academia Sinica, Taiwan) 

    Presentation date： 2023.08

    Event date：
    2023.08
    　
    　

  • Inequalities involving 2-term and 3-term GCD's

    Yu Yasufuku  [Invited]

    Nagoya University Algebraic Geometry Seminar  (Nagoya University)  Nagoya University

    Presentation date： 2023.06

    Event date：
    2023.06
    　
    　

  • Uniformity of quasi-integral points for orbits in projective space

    Yu Yasufuku  [Invited]

    Number theory and dynamics seminar  (Osaka Metropolitan University) 

    Presentation date： 2023.05

    Event date：
    2023.05
    　
    　

    　View Summary

    (scheduled)

  • Uniformity of number of integral points in higher-dimensional orbits

    Yu Yasufuku  [Invited]

    Complex Dynamics and Related Topics  (Kyoto University)  Research Institute for Mathematical Sciences, Kyoto University

    Presentation date： 2022.12

    Event date：
    2022.12
    　
    　

  • Evaluation of GCD on Integral Points on Algebraic Varieties

    Yu Yasufuku  [Invited]

    Oita Kumamoto Number Theory Workshop  (Kumamoto Community Center)  Oita University

    Presentation date： 2022.09

    Event date：
    2022.09
    　
    　

  • Dichotomy for rational points on curves

    Yu Yasufuku  [Invited]

    Uniform Mordell-Lang conjecture  (National Olympic Youth Center) 

    Presentation date： 2021.10

    Event date：
    2021.10
    　
    　

  • Introduction to Mordell-Lang conjecture

    Yu Yasufuku  [Invited]

    Uniform Mordell-Lang conjecture  (National Olympic Youth Center) 

    Presentation date： 2021.10

    Event date：
    2021.10
    　
    　

  • GCD inequalities and Diophantine equations

    Yu Yasufuku  [Invited]

    Oita Number Theory Conference  (Oita University)  Oita University

    Presentation date： 2021.10

    Event date：
    2021.10
    　
    　

  • Limits of intersection numbers and GCD

    Yu Yasufuku  [Invited]

    Kyushu Algebraic Number Theory Summer 2021  (On zoom)  Kyushu University

    Presentation date： 2021.09

    Event date：
    2021.09
    　
    　

  • Problems on rational points and arithmetic dynamics

    Yu Yasufuku  [Invited]

    Various Problems in Complex Geometry II  (Osaka City University)  Kyoto University Research Institute for Mathematical Sciences

    Presentation date： 2021.09

    　View Summary

    (scheduled)

  • Integral points in orbits under finitely many morphisms: some examples

    Yu Yasufuku  [Invited] [International coauthorship]

    Arithmetic Dynamics International Online Seminar  (Zoom Seminar) 

    Presentation date： 2021.03

  • Expanding Corvaja--Zannier's S-unit GCD Inequality

    Yu Yasufuku  [Invited]

    Seminar on Diophantine Analysis and Related Fields  (Zoom Seminar) 

    Presentation date： 2021.01

  • Multiplicative relations and integral points on orbits under multiple maps

    Yu Yasufuku  [Invited]

    Complex Dynamics and Related Topics  (Kyoto University (zoom conference))  Kyoto University RIMS

    Presentation date： 2020.12

  • An upper bound for GCD's and a weakened Vojta's conjecture

    Yu Yasufuku  [Invited]

    Osaka University Number Theory and Modular Forms Seminar  (Osaka University)  Osaka University

    Presentation date： 2020.11

  • Birational invariant based on the Schmidt subspace theorem and the G.C.D.

    Yu Yasufuku  [Invited]

    Osaka University Colloquium  (Osaka University)  Osaka University

    Presentation date： 2020.11

    　View Summary

    (scheduled)

  • Problems on rational points and arithmetic dynamics

    Yu Yasufuku  [Invited]

    Various Problems in Complex Geometry II  (Osaka City University)  Kyoto University Research Institute for Mathematical Sciences

    Presentation date： 2020.09

    　View Summary

    (scheduled)

  • Introduction to Vojta's conjecture and some recent related results

    Yu Yasufuku  [Invited]

    Unga Number Theory Seminar  (Tokyo University of Science)  Tokyo University of Science

    Presentation date： 2020.03

  • Diophantine Inequalities and Arithmetic dynamical results obtained from the abc conjecture

    Yu Yasufuku  [Invited]

    Oita Number Theory Seminar  (Oita University)  Oita University

    Presentation date： 2020.02

  • Ru--Vojta invariants and GCD

    Yu Yasufuku  [Invited]

    Algebra Seminar, Ehime University  (Ehime University)  Ehime University

    Presentation date： 2020.01

  • Structure theorem and SZ properties for weakly mixing extensions

    Yu Yasufuku  [Invited]

    Ergodic Theory Workshop  (Osaka University) 

    Presentation date： 2019.10

  • The smallness of the GCD in Higher Dimensions

    Yu Yasufuku  [Invited]

    Geometry of Arithmetic Varieties  (Peking University)  Beijing International Center for Mathematical Research, Peking University

    Presentation date： 2019.09

  • Smallness of GCD's

    Yu Yasufuku  [Invited]

    Number Theory Seminar at Waseda  (Waseda University)  Waseda University

    Presentation date： 2019.06

  • Integral points in orbits on the square of the projective line

    Yu Yasufuku  [Invited]

    Western Sectional of the AMS  (University of Hawaii)  American Mathematical Society

    Presentation date： 2019.03

  • Height inequalities from cohomological invariants

    Yu Yasufuku  [Invited]

    Higher Dimensional Arithmetic Geometry  (Kumamoto University)  Kumamoto University

    Presentation date： 2019.02

  • Heights for orbits, and their applications to Zariski-density and integral points

    Yu Yasufuku  [Invited]

    Workshop on Complex Analytic and Algebraic Methods in Dynamics  (Osaka City University) 

    Presentation date： 2019.01

  • Selmer Groups and Group Rings

    Yu Yasufuku  [Invited]

    Hachiouji Number Theory Seminar "Catalan's Conjecture"  (Nihon University, College of Science and Technology) 

    Presentation date： 2018.12

  • On Vojta's conjecture and Arithmetic Dynamics

    Yu Yasufuku  [Invited]

    Nihon University College of Science and Technology Academic Prize Recipient Lecture  (Nihon University College of Science and Technology)  Nihon University College of Science and Technology

    Presentation date： 2018.12

  • Heights and Arithmetic Dynamics

    Yu Yasufuku  [Invited]

    Algebraic Number Theory and Related Topics  (Research Institute for Mathematical Sciences, Kyoto University)  Research Institute for Mathematical Sciences, Kyoto University

    Presentation date： 2018.11

  • Abelian Varieties and Arithmetic Dynamics -- Similarities and Differences

    Yu Yasufuku  [Invited]

    Mathematical Society of Japan,Autumn Meeting  (Okayama University)  Mathematical Society of Japan

    Presentation date： 2018.09

  • GCD Problems for Counting Functions and Farey Sequences

    Yu Yasufuku  [Invited]

    Seminar of Value Distribution Theory  (The University of Tokyo) 

    Presentation date： 2018.07

  • Divisors on the Measure Space and Measure-Preserving Dynamics

    Yu Yasufuku  [Invited]

    Towards Multiple Recurrence Theorem  (Osaka Kyoiku University) 

    Presentation date： 2018.07

  • Isomorphisms of Measure-Preserving Transformations and the Lebesgue Space

    Yu Yasufuku  [Invited]

    Towards Multiple Recurrence Theorem  (Osaka Kyoiku University) 

    Presentation date： 2018.07

  • Integral Points in One- and Two-Parameter Orbits

    Yu Yasufuku  [Invited]

    Diophantine Analysis and Related Fields 2018  (Keio University) 

    Presentation date： 2018.03

  • Vojta's Main Conjecture on some Rational Varieties

    Yu Yasufuku  [Invited]

    East Asia Number Theory Conference  (National Taiwan University) 

    Presentation date： 2018.02

  • Algebraic independence of special values of the Bessel functions and their derivatives

    Yu Yasufuku  [Invited]

    Hachiouji Number Theory Seminar  (大学セミナーハウス) 

    Presentation date： 2017.08

  • On the Dynamical Mordell-Lang Problem

    Yu Yasufuku  [Invited]

    Tokyo Institute of Technology Colloquium  (Tokyo Institute of Technology)  Tokyo Institute of Technology

    Presentation date： 2017.07

  • Ergodicity and Unitary Operators

    Yu Yasufuku

    Ergodic Theory Seminar  (Osaka City University) 

    Presentation date： 2017.07

  • On van der Waerden's theorem and Diophantine Inequalities

    Yu Yasufuku  [Invited]

    Ergodic Theory Seminar  (Osaka City University) 

    Presentation date： 2017.07

  • Vojta's Main Conjecture on Rational Surfaces

    Yu Yasufuku  [Invited]

    Taipei Number Theory Seminar  (National Taiwan University)  Taida Institute for Mathematical Sciences

    Presentation date： 2017.03

  • Vojta's conjecture, GCD's, and Dynamics

    Yu Yasufuku  [Invited]

    Kinosaki Rookie Seminar  (Toyooka City Hall, Kinosaki Branch)  Kyoto University

    Presentation date： 2017.02

  • Integral Points on the Complements of Plane Curves

    Yu Yasufuku  [Invited]

    Algebraic and Complex Geometry Seminar, Osaka University  (Osaka University)  Osaka University

    Presentation date： 2017.01

  • Some Explicit Computations of Dynamical Galois Groups

    Yu Yasufuku

    Complex dynamical systems and related topics  (Research Institute for Mathematical Sciences, Kyoto University)  Research Institute for Mathematical Sciences, Kyoto University

    Presentation date： 2016.12

  • Integral Points on Complements of Plane Curves

    Yu Yasufuku

    Arithmetic and Algebraic Geometry  (The University of Tokyo)  The University of Tokyo

    Presentation date： 2016.12

  • Units satisfying some congruences

    Yu Yasufuku  [Invited]

    Problems and prospects in Analytic Number Theory  (Research Institute for Mathematical Sciences)  Research Institute for Mathematical Sciences

    Presentation date： 2016.10

  • Strong, absolute and hyperplane winning

    Yu Yasufuku  [Invited]

    Oberwolfach Arbeitsgemeinschaft: Diophantine Approximation, Fractal Geometry and Dynamics  (Mathematisches Forschungsinstitut Oberwolfach，Germany)  Mathematisches Forschungsinstitut Oberwolfach

    Presentation date： 2016.10

  • Vojta's Main Conjecture on Rational Surfaces

    Yu Yasufuku  [Invited]

    Algebra Symposium, Mathematical Society of Japan  (Saga University)  Mathematical Society of Japan

    Presentation date： 2016.09

  • Maximal Ergodic Theorem and Pointwise Ergodic Theorem

    Yu Yasufuku  [Invited]

    Number Theory Seminar in Hachiouji  (Seminar House in Hachiouji) 

    Presentation date： 2016.08

  • Introduction to Topological Dynamics

    Yu Yasufuku  [Invited]

    Number Theory Seminar in Hachiouji  (Seminar House in Hachiouji) 

    Presentation date： 2016.08

  • Vojta's Conjecture on Surfaces, the abc conjecture, and the Farey Sequences

    Yu Yasufuku

    Mathematical Society of Japan Annual Meeting, Algebra Session  (University of Tsukuba)  Mathematical Society of Japan

    Presentation date： 2016.03

  • Vojta's Conjecture on Surfaces and its Analogy in Value Distributions

    Yu Yasufuku  [Invited]

    Tokyo Institute of Technology, Complex Analysis Seminar  (Tokyo Institute of Technology)  Tokyo Institute of Technology

    Presentation date： 2016.02

  • Exceptional sets in 2-dimensional dynamics and integral points

    Yu Yasufuku  [Invited]

    RIMS Complex Dynamics  (Kyoto University)  Research Institute for Mathematical Sciences, Kyoto University

    Presentation date： 2015.12

  • On Integral Points in Orbits

    Yu Yasufuku  [Invited]

    Number Theory Seminar in Hachiouji  (Hachiouji Seminar House) 

    Presentation date： 2015.09

  • Introduction to Dynamics

    Yu Yasufuku  [Invited]

    Number Theory Seminar in Hachiouji  (Hachiouji Seminar House) 

    Presentation date： 2015.09

  • Some 3-variable Diophantine Equations and Arithmetic Dynamics

    Yu Yasufuku  [Invited]

    Taipei Number Theory Seminar  (Academia Sinica, Taiwan)  Academia Sinica, Taiwan

    Presentation date： 2015.05

  • 3-variable Diophantine Equations and 2-dimensional Completely Invariant Set

    Yu Yasufuku  [Invited]

    Meiji Gakuin Number Theory Seminar  (Nihon University College of Science and Technology) 

    Presentation date： 2015.04

  • Campana's Weight and Integral Points on P^2

    Yu Yasufuku  [Invited]

    University of Tokyo Geometric Complex Analysis Seminar  (University of Tokyo) 

    Presentation date： 2015.04

  • Integral Points in Orbits in Dimension 1 and Higher

    Yu Yasufuku

    Mathematical Society of Japan Annual Meeting, Algebra Session  (Meiji University)  Mathematical Society of Japan

    Presentation date： 2015.03

  • Structure theorems for affine surfaces and Campana conjecture

    Yu Yasufuku  [Invited]

    Affine Algebraic Geometry  (Kwansei Gakuin University, Umeda Campus) 

    Presentation date： 2015.03

  • Logarithmic Kodaira dimension and Diophantine equations

    Yu Yasufuku  [Invited]

    Diophantine Analysis and Related Fields  (Gunma University) 

    Presentation date： 2015.03

  • Uniform Boundedness of S-units in Orbits

    Yu Yasufuku

    Analytic Number Theory – Distribution and Approximation of Arithmetic Objects  (Kyoto University)  Kyoto University Research Institute for Mathematical Sciences

    Presentation date： 2014.10

  • On the proof of Schmidt's subspace theorem

    Yu Yasufuku  [Invited]

    Hachiouji Number Theory Seminar 

    Presentation date： 2014.09

  • Inter-relationship between Vojta's Conjecture on Rational Surfaces and the abc Conjecture

    Yu Yasufuku  [Invited]

    Kobe University Algebra Seminar  (Kobe University)  Kobe University

    Presentation date： 2014.06

  • Vojta's Conjecture and Integral Points in Orbits

    Yu Yasufuku  [Invited]

    Autour des conjectures de Lang et Vojta, Luminy  (Centre International de Rencontres Mathématiques)  Centre International de Rencontres Mathématiques

    Presentation date： 2014.03

  • Vojta's Conjecture, and its Application to Dynamics III

    Yu Yasufuku  [Invited]

    Hokudai Arithmetic Geometry Seminar  (Hokkaido University)  Hokkaido University

    Presentation date： 2014.02

  • Vojta's Conjecture, and its Application to Dynamics IV

    Yu Yasufuku  [Invited]

    Hokudai Arithmetic Geometry Seminar  (Hokkaido University)  Hokkaido University

    Presentation date： 2014.02

  • Vojta's Conjecture, and its Application to Dynamics I

    Yu Yasufuku  [Invited]

    Hokudai Arithmetic Geometry Seminar  (Hokkaido University)  Hokkaido University

    Presentation date： 2014.02

  • Vojta's Conjecture, and its Application to Dynamics II

    Yu Yasufuku  [Invited]

    Hokudai Arithmetic Geometry Seminar  (Hokkaido University)  Hokkaido University

    Presentation date： 2014.02

  • Vojta's Conjecture on Some Rational Surfaces

    Yu Yasufuku  [Invited]

    International Workshop on Diophantine Problems and Arithmetic Dynamics  (Seoul National University)  Seoul National University

    Presentation date： 2014.01

  • Arithmetic Properties of Coordinates of Orbit Points

    Yu Yasufuku  [Invited]

    Algebraic Number Theory and Related Fields  (Kyoto University Research Institute for Mathematical Sciences)  Kyoto University Research Institute for Mathematical Sciences

    Presentation date： 2013.12

  • Roth's Theorem, Vojta's Conjecture, and Arithmetic Dynamics V

    Yu Yasufuku  [Invited]

    TMU Intensive Lecture Series  (Tokyo Metropolitan University)  Tokyo Metropolitan University

    Presentation date： 2013.11

  • Roth's Theorem, Vojta's Conjecture, and Arithmetic Dynamics IV

    Yu Yasufuku  [Invited]

    TMU Intensive Lecture Series  (Tokyo Metropolitan University)  Tokyo Metropolitan University

    Presentation date： 2013.11

  • Roth's Theorem, Vojta's Conjecture, and Arithmetic Dynamics III

    Yu Yasufuku  [Invited]

    TMU Intensive Lecture Series  (Tokyo Metropolitan University)  Tokyo Metropolitan University

    Presentation date： 2013.11

  • Roth's Theorem, Vojta's Conjecture, and Arithmetic Dynamics II

    Yu Yasufuku  [Invited]

    TMU Intensive Lecture Series  (Tokyo Metropolitan University)  Tokyo Metropolitan University

    Presentation date： 2013.10

  • Roth's Theorem, Vojta's Conjecture, and Arithmetic Dynamics I

    Yu Yasufuku  [Invited]

    TMU Intensive Lecture Series  (Tokyo Metropolitan University)  Tokyo Metropolitan University

    Presentation date： 2013.10

  • Number of Digits of Coordinates of Orbit Points

    Yu Yasufuku  [Invited]

    Tsukuba University Algebra Seminar  Tsukuba Univeristy

    Presentation date： 2013.07

  • Some Examples of Integral Points in Orbits for Maps on P^N

    Yu Yasufuku  [Invited]

    Conference on Diophantine Problems and Arithmetic Dynamics  Academia Sinica, Taiwan

    Presentation date： 2013.06

  • The Failure of Dynamical Mordell-Lang Conjecture

    Yu Yasufuku  [Invited]

    University of Udine Number Theory Seminar  University of Udine

    Presentation date： 2013.03

  • Exponential Diophantine Equations and Dynamical Mordell--Lang

    Yu Yasufuku  [Invited]

    Diophantine Analysis and Related Fields  Nihon University, College of Science and Technology

    Presentation date： 2013.01

  • Integral Points and Zsigmondy Sets of Orbits

    Yu Yasufuku  [Invited]

    New developments in complex dynamical systems  Kyoto University Research Institute for Mathematical Sciences

    Presentation date： 2012.12

  • Various Versions of Vojta's Conjecture

    Yu Yasufuku  [Invited]

    New developments in complex dynamical systems  Kyoto University Research Institute for Mathematical Sciences

    Presentation date： 2012.12

  • Vojta's Conjecture on Surfaces

    Yu Yasufuku  [Invited]

    Complex Analysis Symposium  Kanazawa University

    Presentation date： 2012.11

  • On Dynamical Mordell-Lang Problems

    Yu Yasufuku  [Invited]

    Kyoto University Joint Number Theory Seminar  Kyoto University

    Presentation date： 2012.10

  • Coordinates of Forward Orbits in Projective Space

    Yu Yasufuku  [Invited]

    Algebraic Dynamics  University of California at Berkeley

    Presentation date： 2012.05

  • Relative Sizes of Coordinates of Orbits Points under a Morphism on PN

    Yu Yasufuku  [Invited]

    Collaborative Number Theory Seminar  Graduate Center of the City University of New York

    Presentation date： 2012.03

  • Relative Sizes of Coordinates of Orbits Points under a Morphismon PN

    Yu Yasufuku  [Invited]

    Collaborative Number Theory Seminar  Graduate Center of the City University of New York

    Presentation date： 2012.03

  • Introduction to Height Functions

    Yu Yasufuku  [Invited]

    Global Arithmetic Dynamics  Institute for Computational and Experimental Research in Mathematics, Brown University

    Presentation date： 2012.03

  • Finiteness of Integers in Orbits in Higher-Dimensions

    Yu Yasufuku  [Invited]

    Hawaii Conference in Algebraic Number Theory, Arithmetic Geometry, and Modular Forms  University of Hawaii at Manoa

    Presentation date： 2012.03

  • Integral Points and Forward Orbits on Pn

    Yu Yasufuku  [Invited]

    Arithmetic Geometry Session, American Mathematical Society Western Sectional, University of Hawaii at Manoa  American Mathematical Society

    Presentation date： 2012.03

  • Sizes of Coordinates of Orbit Points

    Yu Yasufuku  [Invited]

    Number Theory Seminar at Waseda University  Waseda University

    Presentation date： 2012.01

  • Finiteness of integers in orbits of maps on Pn

    Yu Yasufuku  [Invited]

    Diophantine Analysis and Related Fields 2012  Niigata University

    Presentation date： 2012.01

  • Higher-Dimensional Diophantine Analysis and Dynamics

    Yu Yasufuku  [Invited]

    Meiji Gakuin Number Theory Seminar  Meiji Gakuin University

    Presentation date： 2011.06

  • Diophantine Analysis and Arithmetic Dynamics

    Yu Yasufuku  [Invited]

    Analytic Number Theory --- through Value Distribution and other Properties of Analytic Functions  Research Institute for Mathematical Sciences, Kyoto University

    Presentation date： 2010.10

  • An Application of Diophantine Approximations to Dynamics

    Yu Yasufuku  [Invited]

    Western Massachusetts Five Colleges Number Theory Seminar  Amherst College

    Presentation date： 2010.10

  • Moduli for Dynamics of Quadratic Maps on P1

    Yu Yasufuku  [Invited]

    Mathematical Society of Japan Autumn Meeting  Mathematical Society of Japan

    Presentation date： 2010.09

  • Vojta's Conjecture and Rational Varieties

    Yu Yasufuku  [Invited]

    Nagoya University Arithmetic Geometry Seminar 

    Presentation date： 2010.06

  • Integer Points in Orbits and Vojta's Conjecture

    Yu Yasufuku  [Invited]

    Algebraic Dynamics Workshop  City University of New York, Graduate Center

    Presentation date： 2010.06

  • Vojta's Conjecture and Dynamics

    Yu Yasufuku  [Invited]

    Algebraic Number Theory Workshop  Research Institute for Mathematical Sciences, Kyoto University

    Presentation date： 2009.12

  • Vojta's Conjecture and Greatest Common Divisors, the abc Conjecture, and Dynamics

    Yu Yasufuku  [Invited]

    Queens College Colloquium  Queens College of the City University of New York

    Presentation date： 2009.12

  • Vojta's Conjecture, GCD's, and Dynamics

    Yu Yasufuku  [Invited]

    Western Massachusetts Five Colleges Number Theory Seminar  Amherst College

    Presentation date： 2009.11

  • Vojta's Conjecture on Some Rational Varieties

    Yu Yasufuku  [Invited]

    Workshop on Holomorphic Mappings and Related Diophantine Approximation  Tambara Institute, University of Tokyo

    Presentation date： 2009.10

  • Vojta's Conjecture on Rational Varieties and its Arithmetic Consequences

    Yu Yasufuku  [Invited]

    Tohoku University Number Theory Seminar  Tohoku University

    Presentation date： 2009.10

  • Vojta's Conjecture on Blowups, GCD's, and the abc Conjecture

    Yu Yasufuku  [Invited]

    Kyushu University Algebra Seminar  Kyushu University

    Presentation date： 2009.06

  • Vojta's conjecture on Blowups, GCD's, and the abc

    Yu Yasufuku  [Invited]

    Massachusetts Institute of Technology Number Theory Seminar  Massachusetts Institute of Technology

    Presentation date： 2009.05

  • Vojta's conjecture on Blowups and the abc

    Yu Yasufuku  [Invited]

    Research Conference "Diophantine Equations"  Hausdorff Institute, UniversitatBonn

    Presentation date： 2009.04

  • Vojta's conjecture on Blowups and GCD Inequalities

    Yu Yasufuku  [Invited]

    University of Chicago Algebraic Geometry Seminar  University of Chicago

    Presentation date： 2009.03

  • Vojta's conjecture on Blowups and GCD Inequalities

    Yu Yasufuku  [Invited]

    Princeton University Algebraic Geometry Seminar  Princeton University

    Presentation date： 2009.02

  • Schmidt's Subspace Theorem and GCD Inequalities

    Yu Yasufuku  [Invited]

    New York Collaborative Number Theory Seminar  City University of New York, Graduate Center

    Presentation date： 2008.11

  • on Vojta's Conjecture

    Yu Yasufuku  [Invited]

    Workshop on Arithmetic Geometry: Diophantine approximation and Arakelov theory  Fields Institute, University of Toronto

    Presentation date： 2008.10

  • Vojta's Conjecture and Blowups

    Yu Yasufuku  [Invited]

    Canadian Number Theory Association Meeting X  University of Waterloo

    Presentation date： 2008.07

  • Blowups + Height = Greatest Common Divisors

    Yu Yasufuku  [Invited]

    Brown University Graduate Student Seminar  Brown University

    Presentation date： 2008.02

  • Vojta's conjecture and blowups

    Yu Yasufuku  [Invited]

    Brown University Algebra Seminar  Brown University

    Presentation date： 2007.11

  • Integral points and Vojta's conjecture on multiple blowups of P2

    Yu Yasufuku  [Invited]

    Hiroshima Number Theory Conference  Hiroshima University

    Presentation date： 2007.07

  • Integral points and Vojta's conjecture on multiple blowups of P2

    Yu Yasufuku  [Invited]

    Kyoto University Algebraic Geometry Seminar  Kyoto University

    Presentation date： 2007.07

  • Schmidt Subspace Theorem

    Yu Yasufuku  [Invited]

    Brown University Graduate Student Seminar  Brown University

    Presentation date： 2007.03

  • Completions of Reduced Rings

    Dan Lee and Yu Yasufuku  [Invited]

    American Mathematical Society Joint Meetings Commutative Algebra Special Session  American Mathematical Society

    Presentation date： 2000.01

  • Excellent Rings with Singleton Formal Fibers

    Dan Lee, Leanne Leer, Shara Pilch, and Yu Yasufuku  [Invited]

    Mathematical Association of America MathFest  Mathematical Association of America

    Presentation date： 1999.08

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Research Projects

  • ディオファントス近似の発展と，有理点の最大公約数の不等式及び軌道の整数点への応用

    日本学術振興会  科学研究費助成事業

    Project Year :

    2024.04
    -
    2029.03
     

    安福 悠

  • Determination of Geometric and Arithmetic Conditions Guaranteeing Non-density of Integral Points in Algebraic Varieties and in Orbits

    文部科学省  文部科学省 科学研究費

    Project Year :

    2019.04
    -
    2024.03
     

    Yu Yasufuku

  • Research on Vojta's Conjecture and Arithmetic Dynamics

    Nihon University, College of Science and Technology  Academic Prize, Nihon University, College of Science and Technology

    Project Year :

    2019.04
    -
    2020.03
     

    Yu Yasufuku

  • Integral Points and Arithmetic Dynamics on Algebraic Varieties and their Relationship with Vojta's Conjecture

    文部科学省  文部科学省科学研究費

    Project Year :

    2015.04
    -
    2019.03
     

    Yu Yasufuku

  • Intersections of Orbits with Integral Points and Subvarieties

    日本大学理工学部  理工学部基礎科学研究助成金

    Project Year :

    2015.04
    -
    2016.03
     

    Yu Yasufuku

  • Dynamical Mordell-Lang Problem and Arithmetic Properties of Orbits

    日本大学理工学部  日本大学理工学部基礎科学研究助成金

    Project Year :

    2013
    　
    　
     

  • Vojta’s Conjecture and its Applications to Integral Points in Orbits

    日本大学理工学部  日本大学理工学部基礎科学研究助成金

    Project Year :

    2012
    　
    　
     

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Misc

  • Book review: Ochiai, Tadashi "Modern Number Theory -- from primes to zeta functions"

    Yu Yasufuku

    Sugaku Tsushin   24 ( 4 ) 105 - 108  2020.02  [Invited]  [Domestic journal]

    Authorship：Lead author

    Book review, literature introduction, etc.  

    　View Summary

    Mathematical Society of Japan

  • Book Review: Moriwaki, Kawaguchi, Ikoma "Mordell--Faltings Theorem--Complete Proof from Diophantine Geometry"

    Yu Yasufuku

    Sugaku   71 ( 3 ) 330 - 334  2019.07  [Refereed]  [Invited]  [Domestic journal]

    Authorship：Lead author

    Book review, literature introduction, etc.  

    　View Summary

    Mathematical Society of Japan

 

Syllabus

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Sub-affiliation

  • Faculty of Education and Integrated Arts and Sciences   Graduate School of Education