
Special Issue on Modular Forms and String Theory in honor of Noriko Yui
The Guest Editors for this special issue are
Charles Doran (University of Alberta, Canada)
Yasuhiro Goto (Hokkaido University of Education at Hakodate, Japan)
Ling Long (Louisiana State University, USA)
This special issue of SIGMA is related to the Banff International
Research Station workshop entitled “Modular Forms in String Theory”, which was held
from September 25th to September 30th, 2016. During this workshop we celebrated
the work of Professor Noriko Yui and recognized her outstanding
contributions to number theory/arithmetic geometry in relation to physics (string
theory).
Number theorists/arithmetic geometers and string theorists have
traditionally had very few interactions, living as it were in parallel universes. This trend changed when
the workshop series on “Number Theory and Physics at the Crossroads” got started in early 2000,
with Noriko Yui being one of the principal architects. Among her other contributions to the field, Noriko Yui
has been the managing editor for the journal “Communications in Number Theory and Physics”
since 2006.
Noriko Yui started her career at Tsuda University in Japan, and obtained her Ph.D. from
Rutgers University in 1974. Her Ph.D. Thesis was on “Elliptic Curves and Formal Groups”.
Her formal thesis advisor was Richard T. Bumby (Rutgers University), though her Ph.D. Thesis was
strongly influenced by Frans Oort (Utrecht University). Noriko Yui held academic
positions in Germany, the United States, and Canada
before she started her current position at Queen's University in 1987.
She has had many visiting positions and has given many invited talks all over the world.
In particular, Noriko Yui regularly visits Tsuda University to give graduate courses and/or
organize workshops on Calabi–Yau varieties, mirror symmetry and related topics. Thanks to
such activities, a lot of young mathematicians have been encouraged to pursue their
career in mathematics and interactions of researchers from many branches of mathematics
have been greatly promoted.
In her long academic career, Noriko Yui has done distinguished work on elliptic and
hyperelliptic curves, formal groups, Fermat/diagonal varieties, and more recently, on
the arithmetic properties of Calabi–Yau varieties and their $L$functions in connection
with the mirror symmetry (conjecture) in string theory.
Noriko Yui has supervised or cosupervised many Ph.D. students all over the
world, which include:
ChiaoHun Chen, Swantje Gährs, Alice Garbarnati, Yasuhiro Goto, Ira Helsloot, Kristin Lauter,
Ling Long, Alex Molnar, Ronald van Luijk, Walter Tautz, Thomas Valente. Also she has
supervised more than twenty postdoctoral fellows. This long list of postdoctoral
fellows includes, Simon Rose,
Ian Kiming, Remke Kloosterman, Robert Osburn, Jaap Top, and Yifan Yang, who attended the
Banff workshop.
Noriko Yui was elected a Fellow of the Fields Institute in 2006. She has been extremely
active in organizing conferences and workshops. This proceedings is in line with the
following list of previous ones coedited by Noriko Yui:

Yui N., Lewis J.D. (Editors), Calabi–Yau varieties and mirror symmetry, Proceedings of the Workshop on Arithmetic, Geometry and Physics around Calabi–Yau Varieties and Mirror Symmetry (Toronto, ON, July 23–29, 2001), Fields Institute Communications, Vol. 38, Amer. Math. Soc., Providence, RI, 2003, xvi+367 pp.

Lewis J.D., Yui N., Yau S.T. (Editors), Mirror symmetry. V, Proceedings of the Workshop on Calabi–Yau Varieties and Mirror Symmetry (Banff, AB, December 6–11, 2003), AMS/IP Studies in Advanced Mathematics, Vol. 38, Amer. Math. Soc., Providence, RI, International Press, Somerville, MA, 2006, x+576 pp.

Yui N., Verrill H., Doran C.F. (Editors), Modular forms and string duality, Proceedings of the BIRS Workshop on
Modular Forms and String Duality (Banff, AB, June 3–8, 2006), Fields Institute Communications, Vol. 54, Amer. Math. Soc., Providence, RI, Fields Institute for Research in Mathematical Sciences, Toronto, ON, 2008, xviii+297 pp.

Laza R., Schütt M., Yui N. (Editors), Arithmetic and geometry of K3 surfaces and Calabi–Yau threefolds, Proceedings of the workshop held at the Fields Institute and University of Toronto (Toronto, ON, August 16–25, 2011), Fields Institute Communications, Vol. 67, Springer, New York, Fields Institute for Research in Mathematical Sciences, Toronto, ON, 2013, xxvi+602 pp.

Laza R., Schütt M., Yui N. (Editors), Calabi–Yau varieties: arithmetic, geometry and physics. Lecture notes on concentrated graduate courses. Lectures from the workshops held at the Fields Institute for Mathematical Sciences (July 1 – December 31, 2013), Fields Institute Monographs, Vol. 34, Fields Institute for Research in Mathematical Sciences, Toronto, ON; Springer, New York, 2015, x+547 pp.
This issue includes 21 papers covering various topics related to Noriko Yui's work.
We wish to thank also all the workshop participants, all the authors who have published papers in the issue, and to give our special thanks to all the referees for providing constructive reports.
The Guest Editors
Papers in this Issue:

Integral Regulators for Higher Chow Complexes

Muxi Li
SIGMA 14 (2018), 118, 12 pages [ abs
pdf ]

Normal Functions over Locally Symmetric Varieties

Ryan Keast and Matt Kerr
SIGMA 14 (2018), 116, 18 pages [ abs
pdf ]

Characterizing Moonshine Functions by VertexOperatorAlgebraic Conditions

Scott Carnahan, Takahiro Komuro and Satoru Urano
SIGMA 14 (2018), 114, 8 pages [ abs
pdf ]

Zhegalkin Zebra Motives Digital Recordings of Mirror Symmetry

Jan Stienstra
SIGMA 14 (2018), 110, 29 pages [ abs
pdf ]

HyperAlgebras of VectorValued Modular Forms

Martin Raum
SIGMA 14 (2018), 108, 17 pages [ abs
pdf ]

Hesse Pencils and 3Torsion Structures

Ane S.I. Anema, Jaap Top and Anne Tuijp
SIGMA 14 (2018), 102, 13 pages [ abs
pdf ]

A Note on the Formal Groups of Weighted Delsarte Threefolds

Yasuhiro Goto
SIGMA 14 (2018), 097, 12 pages [ abs
pdf ]

Computing Special $L$Values of Certain Modular Forms with Complex Multiplication

WenChing Winnie Li, Ling Long and FangTing Tu
SIGMA 14 (2018), 090, 32 pages [ abs
pdf ]

A Hypergeometric Version of the Modularity of Rigid CalabiYau Manifolds

Wadim Zudilin
SIGMA 14 (2018), 086, 16 pages [ abs
pdf ]

The ChevalleyWeil Formula for Orbifold Curves

Luca Candelori
SIGMA 14 (2018), 071, 17 pages [ abs
pdf ]

Dihedral Group, 4Torsion on an Elliptic Curve, and a Peculiar Eigenform Modulo 4

Ian Kiming and Nadim Rustom
SIGMA 14 (2018), 057, 13 pages [ abs
pdf ]

The Künneth Formula for the Twisted de Rham and Higgs Cohomologies

KaiChieh Chen and JengDaw Yu
SIGMA 14 (2018), 055, 14 pages [ abs
pdf ]

Evaluation of Certain Hypergeometric Functions over Finite Fields

FangTing Tu and Yifan Yang
SIGMA 14 (2018), 050, 18 pages [ abs
pdf ]

Movable vs Monodromy Nilpotent Cones of CalabiYau Manifolds

Shinobu Hosono and Hiromichi Takagi
SIGMA 14 (2018), 039, 37 pages [ abs
pdf ]

Manifold Ways to DarbouxHalphen System

John Alexander Cruz Morales, Hossein Movasati, Younes Nikdelan, Raju Roychowdhury and Marcus A.C Torres
SIGMA 14 (2018), 003, 14 pages [ abs
pdf ]

A Universal GenusTwo Curve from Siegel Modular Forms

Andreas Malmendier and Tony Shaska
SIGMA 13 (2017), 089, 17 pages [ abs
pdf ]

Zeta Functions of Monomial Deformations of Delsarte Hypersurfaces

Remke Kloosterman
SIGMA 13 (2017), 087, 22 pages [ abs
pdf ]

Twists of Elliptic Curves

Max Kronberg, Muhammad Afzal Soomro and Jaap Top
SIGMA 13 (2017), 083, 13 pages [ abs
pdf ]

Hodge Numbers from PicardFuchs Equations

Charles F. Doran, Andrew Harder and Alan Thompson
SIGMA 13 (2017), 045, 23 pages [ abs
pdf ]

GKZ Hypergeometric Series for the Hesse Pencil, Chain Integrals and Orbifold Singularities

Jie Zhou
SIGMA 13 (2017), 030, 32 pages [ abs
pdf ]

DoranHarderThompson Conjecture via SYZ Mirror Symmetry: Elliptic Curves

Atsushi Kanazawa
SIGMA 13 (2017), 024, 13 pages [ abs
pdf ]

