Research Interests
(p-adic) multiple zeta value, (p-adic) (multiple) polylogarithm,
(p-adic) iterated integration.
mixed Tate motive, motivic Galois group, motivic fundamental group.
(p-adic) Knizhnik-Zamolodchikov equation,
Grothendieck-Teichmuller group, Teichmuller-Lego philosophy.
quantum group, Yang-Baxter equation, deformation quantization,
quasi-triangular quasi-Hopf QUE-algebra, Kashiwara-Vergne conjecture.
quantum topology, Kontsevich knot invariant.
Research Experience
April 2013-March 2014, Member at
Max Planck Institute for Mathematics , Bonn, Germany.
January 2013-April 2013, Member at
Isaac Newton Institute for Mathematical Sciences , Cambridge, UK.
April 2010-, Associate Professor at
Nagoya University , Nagoya, Japan.
October 2007-September 2009,
JSPS Postdoctoral Fellowships for Research Abroad in
\'{E}cole Normale Sup\'{e}rieure , Paris, France.
September 2004-August 2005, Member at
Institute for Advanced Study , Princeton, USA.
February 2004- March 2010, Assistant Professor (permanent one) at
Nagoya University , Nagoya, Japan.
September 2003. Ph.D from
RIMS , Kyoto, Japan.
Awards
March. 2014,
Algebra Prize of Math. Soc. Japan .
February. 2007,
Inoue Research Award for Young Scientists .
September. 2004,
Takebe Prize of Math. Soc. Japan .
Paper
Galois action on knots II: proalgebraic string links and knots .
Desingularization of multiple zeta-functions of generalized Hurwitz-Lerch type , (with Y.Komori, K.Matsumoto and H.Tsumura).
Desingularization of complex multiple zeta-functions (with Y.Komori, K.Matsumoto and H.Tsumura).
Fundamentals of p-adic multiple L-functions and evaluation of their special values (with Y.Komori, K.Matsumoto and H.Tsumura).
Galois action on knots I: Action of the absolute Galois group .
p-adic Eisenstein-Kronecker series for CM elliptic curves and the Kronecker limit formulas,
(with S.Kobayashi and
K.Bannai. ),
to appear in Nagoya Mathematical Journal.
Around associators, to appear in "Automorphic forms and Galois representations".
Geometric interpretation of double shuffle relation for multiple L-values,
Galois-Teichm\"{u}ller theory and Arithmetic Geometry,
Advanced Studies in Pure Math 63 (2012), 163-187.
Mixed Pentagon, octagon and Broadhurst duality equation,
(with B.Enriquez ),
Journal of Pure and Applied Algebra, Vol 216, Issue 4, (2012), 982-995.
Double shuffle relation for associators,
Annals of Mathematics, Vol. 174 (2011), No. 1, 341-360.
Pentagon and hexagon equations,
Annals of Mathematics, Vol. 171 (2010), No. 1, 545-556.
Algebraic cycles and motivic generic iterated integrals (with
A.Jafari ),
Mathematical Research Letters,(2007) Vol 14, No.6, 923-942.
Regularization and generalized double shuffle relations
for p-adic multiple zeta values, (with
A.Jafari ),
Compositio Math. Vol 143, (2007), 1089-1107.
p-adic multiple zeta values II -- tannakian interpretations,
Amer.J.Math, Vol 129, No 4, (2007),1105-1144.
p-adic multiple zeta values -- a pr\'{e}cis.
p-adic mathematical physics, 2nd international conference,
Amer.Inst.Phys, (2006), Conf. Proc. Vol 826, 222-236.
The double shuffle relations for p-adic multiple zeta values,
(with A.Besser ).
AMS Contemporary Math, Vol 416, (2006), 9-29.
Multiple zeta values and Grothendieck-Teichm\"{u}ller groups,
AMS Contemporary Math, Vol 416, (2006), 49-82.
p-adic multiple zeta values I -- p-adic multiple polylogarithms and
the p-adic KZ equation,
Inventiones Mathematicae, Volume 155, Number 2, 253-286, (2004).
Geometric and arithmetic subgroups of the Grothendieck-Teichm\"{u}ller
group,
Mathematical Research Letters, (2003) Volume 10, Number 1, 97-108.
The multiple zeta value algebra and the stable derivation algebra,
Publ. Res. Inst. Math. Sci. Vol 39. no 4. (2003). 695-720.
Research Surveys
On profinite knots and Galois action there ,
RIMS-kokyuroku.
Galois action on knots ,
Oberwolfach Reports, Report No. 42/2012, Low-Dimensional Topology and Number Theory, 2556-2557.
On the construction of $p$-adic multiple $L$-functions and their special values
(with H.Tsumura), (Japanese), report on 5th Multiple Zeta Values seminar, 2012.
Four groups related to associators ,
Report on Mathematische Arbeitstagung 24th June-1st July.2011.
Mixed pentagon equation and double shuffle relation ,
RIMS-kokyuroku No 1813, Various Aspects of Multiple Zeta Values (2012), 109-122.
The Grothendieck-Teichm\"{u}ller group, the double shuffle group and the motivic Galois group ,
RIMS-kokyuroku No.1714, Quantum Groups and quantum Topology (2010), 63-79.
The motivic Galois group, the Grothendieck-Teichm\"{u}ller group and the double
shuffle group ,
Oberwolfach Reports, Report No. 23/2010, Motives and Homotopy Theory of Schemes, 1406-1408.
The motivic Galois group, the Grothendieck-Teichm\"{u}ller group and the double shuffle group ,
54th Algebra Symposium Report (2009), 139-150.
Proof of double shuffle relations for p-adic multiple zeta values ,
RIMS-kokyuroku No.1523,
Automorphic representations, L-functions, and periods,
(2006), 12-24.
On motivic iterated integrals in generic positions
(joint work with A. Jafari),
RIMS-kokyuroku No.1521, Algebraic number theory and related topics,
(2006), 70-85.
Grothendieck-Teichmuller group (Japanese),
12th Summer School on Number theory (2004), 97-104.
Polylog and Frobenius (Japanese),
49th Algebra Symposium Report (2004), 72-85.
The double shuffle relations for p-adic multiple zeta values
(joint work with Amnon Besser)
(Japanese)
typewritten file available,
Waseda University Number Theory Conference Report (2004), 69-76.
A note on
weights of l-adic polylogarithms and p-adic polylogarithms ,
on 2004.2.29
Introduction to p-adic multiple zeta values (Japanese),
RIMS-kokyuroku No.1324,
Algebraic number theory and related topics , (2003), 33-46.
A note on
the explicit formula for a certain solution of the KZ-like differential equation , on 2002.12.30.
On defining equations of three variants of the Grothendieck-Teichm\"{u}ller group ,
RIMS-kokyuroku No.1267,
Communications in Arithmetic Fundamental Groups ,
(2002), 189-196.
The Multiple Zeta Value Algebra And The Stable Derivation Algebra (Japanese),
RIMS-kokyuroku No. 1200,
Algebraic number theory and related topics ,
(2001), 137-148.
Upcoming Talk
Homotopical Algebra, Operads and Grothendieck-Teichm\"{u}ller groups ,
Universit\'{e} Nice Sophia Antipolis, Laboratoire J.A. Dieudonn\'{e}
Nice, France, 9-12 September, 2014.
Previous Talks
Intelligence of Low-dimensional Topology ,
RIMS, Kyoto, Japan, 21st-24th. May. 2014.
Seminar on Analytic Number Theory ,
Nagoya University, Nagoya, Japan, 8th. April. 2014.
MSJ Spring Meeting 2014 ,
Gakushuin University, Tokyo, Japan, 15th-18th. March. 2014.
S\'{e}minnaire d'alg\`{e}bre ,
Institut Camille Jordan, Universit\'{e} Claude Bernard Lyon 1, Lyon, France, 12th December. 2013.
Japanese Turkish Joint Geometry Meeting ,
Galatasaray University, \.{I}stanbul, Turkey, 21st-24th. November. 2013.
General Mathematics Seminar ,
University of Luxembourg, Luxembourg, Luxembourg, 22nd October. 2013.
Joint UAM-ICMAT Seminar, Algebra and Combinatorics ,
Instituto de Ciencias Matem\'{a}ticas Universidad Aut\'{o}noma de Madrid,
Madrid, Spain, 4th October, 2013.
Exploratory Workshop, New Approaches To Multiple Zeta Values ,
Instituto de Ciencias Matem\'{a}ticas Universidad Aut\'{o}noma de Madrid,
Madrid, Spain, 30th September-2nd October, 2013.
Motivic Galois Groups ,
Alfr\'{e}d R\'{e}nyi Institute of Mathematics, Budapest, Hungary, 2nd-6th. September. 2013.
Seminar on Algebra, Geometry and Physics ,
Max Planck Institute for Mathematics, Bonn, Germany, 16th. July. 2013.
MPI-Oberseminar ,
Max Planck Institute for Mathematics, Bonn, Germany, 13th. June. 2013.
Higher Structures in Topology and Number Theory ,
Clay Mathematics Institute workshop,
Mathematical Institute, University of Oxford, Oxford, UK,
15th-16th. April. 2013.
Grothendieck-Teichm\"{u}ller theory and Multiple Zeta Values of
Grothendieck-Teichm\"{u}ller Groups, Deformation and Operads ,
Isaac Newton Institute for Mathematical Sciences, Cambridge, UK,
8th-12th. April. 2013.
Lecture of
Grothendieck-Teichm\"{u}ller Groups, Deformation and Operads ,
Isaac Newton Institute for Mathematical Sciences, Cambridge, UK,
13th. February. 2013.
Introductory Workshop of
Grothendieck-Teichm\"{u}ller Groups, Deformation and Operads ,
Isaac Newton Institute for Mathematical Sciences, Cambridge, UK,
8th-10th. January. 2013.
Tuesday Seminar on Topology ,
Tokyo University, Tokyo, Japan, 6th. November. 2012.
Low-Dimensional Topology and Number Theory ,
Mathematisches Forschungsinstitut Oberwolfach, Oberwolfach, Germany,
26th. August.-1st. September. 2012.
Periods and Motives , A Modern Perspective on Renormalization,
Instituto de Ciencias Matem\'{a}ticas Universidad Aut\'{o}noma de Madrid,
Madrid, Spain, 2nd-6th. July. 2012.
String seminar ,
Nagoya University, Nagoya, Japan, 28th. June. 2012.
Polylogarithmes en alg\`{e}bre et en topologie ,
Laboratoire J.A. Dieudonn\'{e}, Nice, France, 14th-16th. June. 2012.
Colloque \`{a} l'occasion des 80 ans de Pierre Cartier,
Dialogues autour de l'alg\`{e}bre, la g\'{e}omtri\'{e} et les fonctions multiz\^{e}tas ,
IHES, Paris, France, 11th-12th. June. 2012.
Colloquium in Mathematics , Kyushu University, Hakata, Japan, 26th. April. 2012.
Intensive Lectures , Kyushu University, Hakata, Japan, 23rd-27th. April. 2012.
Low dimensional topology and number theory IV ,
Kyushu University, Fukuoka, JAPAN, 12th-15th March. 2012.
5th Multiple Zeta Values seminar ,
Kyushu University, Hakata, Japan, 27th-29th. January. 2012.
Algebra seminar ,
Tohoku University, Sendai, Japan, 15th. December. 2011.
Intensive Lectures ,
Tokyo University, Tokyo, Japan, 14th-18th. November. 2011.
Automorphic forms and Galois representations ,
Durham University, Durham, UK, 18th-28th July. 2011.
Mathematische Arbeitstagung 2011 ,
Universit\"{a}t Bonn and the Max-Planck-Institute for Mathematics,
Bonn, Germany, 24th-30th June. 2011.
The motivic fundamental group ,
Lorentz Center, Leiden, Netherlands, 23rd-27th May. 2011.
Workshop on L-functions ,
Kyushu University, Fukuoka, Japan, 21st-23rd April.2011.
Low dimensional topology and number theory III ,
Nishijin Plaza, Fukuoka, JAPAN, 14th-17th March. 2011.
S\'{e}minnaire Quantique ,
IRMA, Strasbourg, France, 6th. December. 2010.
Development of Galois-Teichm\"{u}ller Theory and Anabelian Geometry ,
RIMS, Kyoto, Japan, 25th-30th October. 2010.
Various Aspects of Multiple Zeta Values ,
RIMS, Kyoto, Japan, 6th-9th September. 2010.
Arithmetic Geometry Workshop 2010 ,
Naha, Okinawa, Japan, 2nd-6th August. 2010.
Des associateurs de Drinfeld \`{a} ceux de
Kashiwara-Vergne et lien avec les invariants
de noeuds g\'{e}n\'{e}ralis\'{e}s ,
l'Universit\'{e} Montpellier 2, Montpellier, France,
3rd-4th June. 2010.
Motives and Homotopy Theory of Schemes ,
Mathematisches Forschungsinstitut Oberwolfach,
Oberwolfach, Germany, 16th-22nd May, 2010.
Quantum Groups and Quantum Topology ,
RIMS, Kyoto, Japan, 19th-20th. April. 2010.
S\'{e}minnaire Quantique ,
IRMA, Strasbourg, France, 22nd. February. 2010.
Analytic Number Theory Seminar ,
Nagoya University, Nagoya, Japan, 27th. January. 2010.
Arithmetic Geometry Seminar ,
Nagoya University, Nagoya, Japan, 26th. January. 2010.
$p$-adic Special Functions and Arithmetic Geometry ,
Yutomorikurabu, Zaoh, Japan, 28th-31st. October. 2009.
Anabelian Geometry ,
Isaac Newton Institute for Mathematical Sciences, Cambridge, UK,
24th-28th. August 2009.
54th Algebra Symposium ,
Meiji University, Tokyo, Japan,
3rd-6th. August. 2009.
S\'{e}minnaire The\'{o}rie de Galois Dif\'{e}rentielle ,
Laboratoire Paul Painlev\'{e},
UFR de Math\'{e}matiques, Universite de Lille 1, Lille, France,
16th. March. 2009.
Autour des travaux d'A. Grothendieck ,
l'Universit\'{e} Montpellier 2, Montpellier, France,
21st-23rd. January. 2009.
S\'{e}minnaire Quantique ,
IRMA, Strasbourg, France, 8th. December. 2008.
S\'{e}minnaire de G\'{e}om\'{e}trie et Dynamique ,
Groupe de travail de Renormalisation -Supersym\'{e}trie,
math\'{e}matiques \`{a} Jussieu; Jussieu / Chevaleret, Paris, France,
27th. November. 2008.
S\'{e}minnaire d'alg\`{e}bre ,
Institut Camille Jordan, Universit\'{e} Claude Bernard Lyon 1,
Lyon, France, 20th. November. 2008.
S\'{e}minnaire Groupes de Lie et espaces de modules ,
Section de math\'{e}matiques, Universit\'{e} de Gen\`{e}ve,
Geneva, Switzerland, 14th. October. 2008.
Nottingham Number theory seminar ,
School of Mathematical Sciences, University of Nottingham, Nottingham, UK,
4th. June. 2008.
S\'{e}minnaire Quantique ,
IRMA, Strasbourg, France, 17th. March. 2008.
S\'{e}minnaire Polylogarithmes et Multiz\^{e}ta ,
math\'{e}matiques \`{a} Jussieu; Jussieu / Chevaleret, Paris, France,
10th. March. 2008.
Number theory lunch seminar,
Max Planck Institute for Mathematics, Bonn, Germany, 19th. December. 2007.
G\"{a}ste und G\"{a}stvortage im Wintersemester 2007/08 ,
Universitat Regensburg, Regensburg, Germany, 14th. December. 2007.
Multiple Polylogarithms and Moduli Spaces Day ,
Durham University, Durham, UK,
5th. December. 2007.
GTEM Workshop Arithmetic of Curves and Covers ,
UFR de Math\'{e}matiques, Universite de Lille 1, Lille, France,
21st-23rd. November. 2007.
Groupe de Travail de G\'{e}om\'{e}trie Arithm\'{e}tique ,
IRMAR, Universite de Rennes 1, Rennes, France,
13rd. November. 2007.
Seminar ,
Padova university ,
Padova, Italy, 19th. October. 2007.
Seminar ,
Padova university ,
Padova, Italy, 16th. October. 2007.
Arithmetic Algebraic Geometry Conference ,
Cetraro, Italy, 7th-13th, October. 2007.
slides available .
Arithmetic Algebraic Geometry ,
Adam Mickiewicz University, Poznan, Poland,
3rd-7th, September. 2007.
Summer School; Multiple Zeta Values and Motives ,
Tohoku University, Sendai, Miyagi, Japan, 26th-28th.July. 2007.
Analytic Number Theory Seminar,
Nagoya University, Nagoya, Japan, 4th. April. 2007.
Motives, related topics, applications ,
Hiroshima University, Hiroshima, Japan, 5th-9th. March. 2007.
slides available .
Colloquium,
Nagoya university, Nagoya, Japan, 21st. February, 2007.
Conference on zeta for younger researchers ,
Nagoya University, Nagoya, Japan, 17th-18th. February. 2007.
UK-Japan Winter School, Number Theory ,
University of Cambridge, Centre for Mathematical Sciences,
Cambridge, UK, 7th-10th. January 2007.
Arithmetic Galois Theory and Related Moduli Spaces ,
RIMS, Kyoto University, Kyoto, Japan, 23rd-27th and 30th-31st. October. 2006.
slides available .
Seminar,
Harish-Chandra Research Institute , Allahabad,
India, 4th. August. 2006.
Number Theory Seminar, TIFR, Mumbai, India, 26th. July. 2006.
Special Mathematics Colloquium,
TIFR , Mumbai, India, 19th. July. 2006.
Motives and Periods ,
University of British Columbia, Vancouver, Canada,
5th-12th. June. 2006.
Red Lodge Conference ,
Red Lodge, Montana, USA, 3rd-7th. April. 2006.
slides available .
Number Theory Seminar ,
Nagoya university, Nagoya, Japan, 22nd. February, 2006.
Automorphic representations, L-functions, and periods ,
RIMS, Kyoto, Japan, 23rd-27th. January, 2006,
slides available .
Japan-Korea Joint Number Theory Seminar,
KAIST ,
Daejeon, South Korea, 5th-8th, January, 2006.
Workshop on Motives , Tokyo University, Tokyo, Japan,
19th-22nd, December. 2005,
slides available .
Algebraic Number Theory and Related Topics ,
RIMS, Kyoto, Japan, 5th-9th. December. 2005,
slides available .
Hodge Theory Seminar , Duke University, Durham, USA,
26th. October. 2005.
JHU Number Theory Seminar , Johns Hopkins University, Baltimore, USA,
21th. October. 2005.
2nd International Conference on p-adic Mathematical Physics ,
Institute of Physics ,
Belgrade, Serbia and Montenegro, 15th-21th, September, 2005,
slides available .
Member seminar,
Simonyi Hall, IAS, Princeton, USA, 7th, March, 2005.
Algebra Seminar , University of Pennsylvania, Philadelphia, USA,
14th, February, 2005.
Short Talks by Postdoctoral Members,
Simonyi Hall, IAS, Princeton, USA, 23rd-29th, September, 2004.
Summer School on Number theory ,
Fukuyama, Japan, 23rd-27th, August, 2004.
slides available .
49th Algebra Symposium , Sendai International Center,
Sendai, Japan, 2nd-5th, August, 2004.
slides available .
Algebra Seminar , Hiroshima University,
Hiroshima, Japan, 31st. May. 2004.
Underground Seminar , Nagoya University,
Nagoya, Japan, 26th. May. 2004.
Conference on Number Theory , Waseda University,
Tokyo, Japan, 17th-19th. March. 2004.
Kagawa seminar, Kagawa University,
Kagawa, Japan, 20th-21st. December. 2003.
Okayama little workshop , Okayama University, Okayama, Japan,
November. 13rd-14th. 2003.
Noncommutative aspects of number theory ,
University of Durham, Durham, UK, 28th. August - 5th. September. 2003,
slides available .
Padova University, Padova, Italy, 2nd - 3rd. July. 2003.
Journee Groupes Fondamentaux et Polylogs ,
Universite de Paris 6, Institut Mathematique de Jussieu,
Paris, France, 20th. June, 2003.
RIMS Number Theory Seminar,
A short survey talk on Monster, especially on Conway-Norton conjecture,
Kyoto, Japan, 29th. May. 2003.
UC Berkeley Number Theory Seminar ,
University of California, Berkeley, USA,
14th. May. 2003 .
Arithmetic application of moduli degeneration ,
University of California, Irvine, USA,
7th-10th. May. 2003 .
Tokyo University Monthly Seminar on Number Theory of Modular Forms ,
Tokyo University, Tokyo, Japan, 26th. April. 2003.
p-adic methods in number theory , Nagoya University, Nagoya, Japan,
9th-10th. April. 2003.
Conference on Primes and Knots (
JAMI-conference ),
Japan-U.S. Mathematics Institute, Johns Hopkins University, Baltimore, USA,
6th-16th. March. 2003.
Ben-Gurion University Number Theory and Algebraic Geometry Seminar ,
Beer Sheva, Israel,
26th. February. 2003 .
Algebraic Geometry seminar,
Einstein Institute , Hebrew University, Jerusalem, Israel,
20th. February. 2003.
RIMS Number Theory Seminar, Kyoto, Japan, 10th. February. 2003.
Algebraic Number Theory and Related Topics ,
RIMS, Kyoto, Japan, 2nd-6th. December. 2002.
Waseda University Number Theory seminar , Tokyo, Japan,
25th. October. 2002.
Number Theory Workshop ,
Hiroshima University, Hiroshima, Japan,
29th-31th. July. 2002.
Workshop on Homotopy Theory of Algebraic Varieties and the Milnor Conjecture ,
Yatsugatake Izumigo, Japan, 5th-8th. July. 2002.
RIMS Number Theory seminar, RIMS, Kyoto, Japan, 22th. April. 2002.
Arithmetic Aspects of Fundamental Groups ,
EURESCO Conference, Acquafredda di Maratea (near Naples), Italy,
1st-6th. September. 2001.
Various aspects on multiple zeta values ,
RIMS, Kyoto, Japan, 4th-6th. June. 2001.
Workshop on Hodge theory, Galois theory, moduli and arithmetic geometry ,
Kyoto University, Graduate School of Human and Environmental Studies
Room No. G226, Kyoto, Japan,
21st-24th. May. 2001.
$\pi_1$ festival ,
Tokyo Metropolitan University, Tokyo, Japan,
14th-15th. March. 2001.
RIMS Number Theory seminar,Kyoto, Japan, 19th. February. 2001.
Algebraic Number Theory and Related Topics ,
RIMS, Kyoto, Japan, 18th-22th. December. 2000.
Kyushu University Multiple Zeta Values Seminar,
Hakata, Japan, 6th-7th. November. 2000.
Tokyo Metropolitan University Number Theory Seminar ,
Tokyo, Japan, 24th-26th. July. 2000.
slides available .
Organised Workshop
Japan-Korea Number Theory Seminar 2011 ,
Nagoya University, Nagoya, Japan, 9th-12th. November. 2011.
Summer School; Multiple Zeta Values and Motives ,
Tohoku University, Sendai, Miyagi, Japan, 26th-28th.July. 2007.
Computation Tables
Table of Multiple Zeta Values up to Weight 12
Drinfel'd Associator up to degree 4
The Fundamental Solution of KZ equation up to degree 4
Address:
Graduate School of Mathematics ,
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