Beliefs are like my Mötley Crüe T-shirt, only infinitely more dangerous.
Beliefs
are like my Mötley
Crüe T-shirt, only
infinitely more dangerous.
- Will Storr, The Status Game
CNRS
Université Paris
Cité
Bâtiment Sophie
Germain, Case courier 7014
8 Place Aurélie Nemours
75205
Paris Cedex 13
FRANCE
lovejoy at math dot cnrs dot fr ← This e-mail server has only been working intermittently. For the time being please use firstname.lastname at irif dot fr
Phone: +33 (0)1 57 27 92 49
None!!!!!!
Modular forms and quantum knot invariants, Banff, March 11-16, 2018.
Automorphic forms: advances and applications, May 25-29, 2015, CIRM
Automorphic forms workshop, March 11-14, 2013, Dublin
Prospects in q-series and modular forms, July 14-16, 2010, Dublin
International Journal of Number Theory
South East Asian Journal of Mathematics and Mathematical Sciences
Journal of Ramanujan Society of Mathematics and Mathematical Sciences
Bailey
pairs and an identity of Chern-Li-Stanton-Xue-Yee (with Shashank
Kanade)
Submitted.
Odd
unimodal sequences (with Kathrin Bringmann)
Submitted.
Bailey
pairs, radial limits of q-hypergeometric false theta functions, and a
conjecture of Hikami (with Rishabh Sarma)
Kyushu J. Math., to
appear.
New congruences modulo 4 and 8 for
Ramanujan's phi function (with Julia Q.D. Du and Olivia X.M.
Yao)
Proc. Amer. Math. Soc., to appear.
Rank
deviations for overpartitions (with Robert Osburn)
Res. Number
Theory 10:67 (2024).
Bailey
pairs and strange identities
J. Korean Math. Soc. 59 (2022),
1015-1045.
Bailey
pairs and indefinite quadratic forms, II. False indefinite theta
functions.
Res. Number Theory 8:24 (2022).
Arithmetic
properties of Schur-type overpartitions (with Isaac A.
Broudy)
Involve,
a Journal of Mathematics 15-3 (2022), 489-505.
Quantum
q-series identities
Hardy-Ramanujan J. (Special Commemorative
volume in honour of Srinivasa Ramanujan) 44 (2021), 61-73.
On
weighted overpartitions related to some q-series in Ramanujan's lost
notebook (with Byunghcan Kim and Eunmi Kim),
Int. J. Number
Theory (Special Issue in honor of Bruce Berndt) 17 (2021), 603-619.
A
mock theta identity related to the partition rank modulo 3 and 9
(with Song Heng Chan, Nankun Hong, and Jerry)
Int. J. Number
Theory (Special Issue in honor of Bruce Berndt) 17 (2021), 311-327.
Parity
bias in partitions (with Byungchan Kim and Eunmi Kim)
European.
J. Combin. 89 (2020). Article 103159.
The
colored Jones polynomial and Kontsevich-Zagier series for double
twist knots, II (with Robert Osburn)
New York J. Math. 25
(2019), 1312-1349.
The
colored Jones polynomial and Kontsevich-Zagier series for double
twist knots (with Robert Osburn)
J. Knot Theory Ramifications
30 (2021), Article 2150031.
Dissections
of strange q-series (with Scott Ahlgren and Byungchan Kim)
Ann.
Comb. 23 (2019), 427-442.
Generalizations
of Capparelli's identity (with Jehanne Dousse)
Bull. London
Math. Soc. 51 (2019), 193-206.
On
some special families of q-hypergeometric Maass forms (with Kathrin
Bringmann and Larry Rolen)
Int. Math. Res. Not. IMRN, Vol.
2018, No. 18, 5537-5561.
Identities
for overpartitions with even smallest parts (with Min-Joo Jang)
Int.
J. Number Theory 14 (2018), 2023-2033.
Ramanujan-type
partial theta identities and conjugate Bailey pairs, II. Multisums
(with Byungchan Kim)
Ramanujan J. 46 (2018), 743-764.
On
a Rogers-Ramanujan type identity from crystal base theory (with
Jehanne Dousse)
Proc. Amer. Math. Soc. 146 (2018), 55-67.
Asymmetric
generalizations of Schur's theorem
in: Analytic Number Theory,
Modular Forms, and q-Hypergeometric Series, Springer Proceedings in
Mathematics and Statistics vol. 221, Springer, Cham, 2017.
Hecke-type
formulas for families of unified Witten-Reshetikhin-Turaev invariants
(with Kazuhiro Hikami)
Commun. Number Theory Phys. 11 (2017),
249-272.
Mock theta
double sums (with Robert Osburn)
Glasgow Math. J. 59 (2017),
323-348.
Partial
indefinite theta identities (with Byungchan Kim)
J. Aust.
Math. Soc. 102 (2017), 255-289.
Overpartitions
into distinct parts without short sequences (with Youn-Seo Choi and
Byungchan Kim)
J. Number Theory 175 (2017), 117-133.
Odd-balanced
unimodal sequences and related functions: parity, mock modularity and
quantum modularity (with Byungchan Kim and Subong Lim)
Proc.
Amer. Math. Soc. 144 (2016), 3687-3700.
A
partition identity and the universal mock theta function g2(x;q)
(with Kathrin Bringmann and Karl Mahlburg)
Math. Res. Lett. 23
(2016), 67-80.
Ramanujan-type
partial theta identities and rank differences for special unimodal
sequences (with Byungchan Kim)
Ann. Comb. 19 (2015), 705-733.
Overpartitions
with restricted odd differences (with Kathrin Bringmann, Jehanne
Dousse and Karl Mahlburg)
Electron. J. Combin. 22 (2015),
no.3, paper 3.17.
Real
quadratic double sums (with Robert Osburn)
Indag. Math. 26
(2015), 697-712.
Anti-lecture
hall compositions and Andrews' generalization of the Watson-Whipple
transformation (with Sylvie Corteel and Carla Savage)
J.
Combin. Theory Ser. A 134 (2015), 188-195.
On
two tenth order mock theta identities (with Robert Osburn)
Ramanujan
J. 36 (2015), 117-121.
Torus
knots and quantum modular forms (with Kazuhiro Hikami)
Res.
Math. Sci. 2:2 (2015).
The
rank of a unimodal sequence and a partial theta identity of Ramanujan
(with Byungchan Kim)
Int. J. Number Theory 10 (2014),
1081-1098.
Bailey
pairs and indefinite quadratic forms
J. Math. Anal. Appl. 410
(2014), 1002-1013.
Mixed
mock modular q-series (with Robert Osburn)
J. Indian Math.
Soc., Special Volume to commemorate the 125th Birth Anniversary of
Srinivasa Ramanujan and the National Mathematics Year - 2012 (2013),
45-61.
On
q-difference equations for partitions without k-sequences (with
Kathrin Bringmann and Karl Mahlburg)
Legacy Of Ramanujan,
Ramanujan Mathematical Society Lecture Notes 20 (2013), 129--137.
q-hypergeometric
double sums as mock theta functions (with Robert Osburn)
Pacific
J. Math. 264 (2013), 151–162 .
The
Bailey chain and mock theta functions (with Robert Osburn)
Adv.
Math. 238 (2013), 442-458.
Ramanujan-type
partial theta identities and conjugate Bailey pairs
Ramanujan
J. 29 (2012), 51-67.
Automorphic
properties of generating functions for generalized odd rank moments
and odd Durfee symbols (with Claudia Alfes and Kathrin
Bringmann)
Math. Proc. Cambridge Phil. Soc. 151 (2011),
385-406.
l-adic
properties of smallest parts functions (with Scott Ahlgren and
Kathrin Bringmann)
Adv. Math. 228 (2011), 629-645.
On
the modularity of the unified WRT invariants of certain Seifert
manifolds (with Kathrin Bringmann and Kazuhiro Hikami)
Adv.
Appl. Math. 46 (2011), 86-93.
Quadratic
forms and four partition functions modulo 3 (with Robert
Osburn)
Integers 11 (2011), 47-53.
Partitions
with rounded occurrences and attached parts
Ramanujan J. 23
(2010), 307-313.
M2-rank
differences for overpartitions (with Robert Osburn)
Acta
Arith. 144 (2010), 193-212.
On
identities involving the sixth order mock theta functions
Proc.
Amer. Math. Soc. 138 (2010), 2547-2552.
Automorphic
properties of generating functions for generalized rank moments and
Durfee symbols (with Kathrin Bringmann and Robert Osburn)
Int.
Math. Res. Not. (2010), no. 2, 238-260.
Overpartitions
and the q-Bailey identity (with Sylvie Corteel)
Proc.
Edinburgh Math. Soc. 52 (2009), 297-306.
M2-rank
differences for partitions without repeated odd parts (with Robert
Osburn)
J. Théor. Nombres Bordeaux 21 no. 2 (2009),
313-334.
Rank
and crank moments for overpartitions (with Kathrin Bringmann and
Robert Osburn)
J. Number Theory 129 no. 7 (2009), 1758-1772 .
Partitions
weighted by the parity of the crank (with Dohoon Choi and Soon-Yi
Kang)
J. Combin. Theory Ser. A 116 (2009), 1034-1046.
Overpartitions
and class numbers of binary quadratic forms (with Kathrin
Bringmann)
Proc. Nat. Acad. Sci. USA vol. 106 no. 14 (2009),
5513-5516.
n-color
overpartitions, twisted divisor functions, and Rogers-Ramanujan
identities (with Olivier Mallet)
South East Asian J. Math.
Math. Sci. (G.E. Andrews' 70th birthday issue) 6 (2008), 23-36.
Rank
differences for overpartitions (with Robert Osburn)
Quart. J.
Math. (Oxford) 59 (2008) 257-273.
Rank
and congruences for overpartition pairs (with Kathrin Bringmann)
Int. J. Number Theory 4 (2008), 303-322.
Rank
and conjugation for a second Frobenius representation of an
overpartition
Ann. Combin. 12 (2008), 101-113.
Overpartition
pairs and two classes of basic hypergeometric series (with Olivier
Mallet)
Adv. Math. 217 (2008), 386-418.
An
extension to overpartitions of the Rogers-Ramanujan identities for
even moduli (with Sylvie Corteel and Olivier Mallet)
J.
Number Theory 128 (2008), 1602-1621.
Dyson's
rank, overpartitions, and weak Maass forms (with Kathrin
Bringmann)
Int. Math. Res. Not. (2007), rnm063.
Partitions
and overpartitions with attached parts
Arch. Math. (Basel) 88
(2007), 316-322.
Constant
terms, jagged partitions, and partitions with difference two at
distance two
Aequationes Math. 72 (2006), 299-312.
Overpartition
pairs
Ann. Inst. Fourier (Grenoble) 56 (2006), 781-794.
An
iterative-bijective approach to generalizations of Schur's theorem
(with Sylvie Corteel)
Europ. J. Combin. 27 (2006), 496-512.
A
theorem on seven-colored overpartitions and its applications
Int.
J. Number Theory. 1 (2005) 215-224.
Rank
and conjugation for the Frobenius representation of an overpartition
Ann. Combin. 9 (2005) 321-334.
Overpartitions
and generating functions for generalized Frobenius partitions (with
Sylvie Corteel and Ae Ja Yee)
Mathematics and Computer
Science III: Algorithms, Trees, Combinatorics, and Probabilities
(2004) 15-24.
Overpartitions
and real quadratic fields
J. Number Theory 106 (2004),
178-186.
Overpartition
theorems of the Rogers-Ramanujan type
J. London Math. Soc. 69
(2004), 562-574.
A
Bailey Lattice
Proc. Amer. Math. Soc. 132 (2004), 1507-1516.
Overpartitions
(with Sylvie Corteel)
Trans. Amer. Math. Soc. 356 (2004),
1623-1635.
More
lacunary partition functions
Illinois J. Math. 47 (2003),
769-773.
Gordon's
theorem for overpartitions
J. Combin. Theory Ser. A 103
(2003), 393-401.
Hypergeometric
generating functions for values of Dirichlet and other L-functions
(with Ken Ono)
Proc. Nat. Acad. Sci. USA vol. 100 no. 12
(2003), 6904-6909.
The
number of partitions into distinct parts modulo powers of 5
Bull.
London Math. Soc. 35 (2003) no. 1, 41-46.
Partitions
with designated summands (with George E. Andrews and Richard P.
Lewis)
Acta Arith. 105 (2002) no. 1, 51-66.
Lacunary
partition functions
Math. Res. Lett. 9 (2002), 191-198.
Extension
of Ramanujan's congruences for the partition function modulo powers
of five (with Ken Ono)
J. Reine Angew. Math. 542 (2002),
123-132.
Frobenius
partitions and the combinatorics of Ramanujan's 1psi1 summation (with
Sylvie Corteel)
J. Combin. Theory Ser. A 97 (2002), 177-183.
The
arithmetic of the number of partitions into distinct parts (with
Scott Ahlgren)
Mathematika 48 (2001), 203-211.
3-regular
partitions and a modular K3 surface (with David Penniston)
Contemp.
Math. 291 (2001), 177-182.
The
divisibility and distribution of partitions into distinct parts
Adv.
Math. 158 (2001), 253-263.
Ramanujan
type congruences for three-colored Frobenius partitions
J.
Number Theory 85 (2000), 283-290.