I didn't even know they had elections in Holland. What would
they vote about? ... Everything seemed to work so perfectly.

- Ayaan Hirsi Ali, Infidel




Jeremy Lovejoy

CNRS
LIAFA
Universite Denis Diderot - Paris 7
Case 7014
75205 Paris Cedex 13
FRANCE

lovejoy at math dot cnrs dot fr

Phone: +33 (0)1 57 27 92 49

CV


PhD Students

Olivier Mallet, 2005-2008

Jehanne Dousse, 2012-2015

Isaac Konan, 2016-


Upcoming Events

Universitat Zurich, October 2016.

University College Dublin, November 2016.

Nanyang Technological University, April 2017.

Modular forms are everywhere, May 2017.


Some Past Events

Automorphic forms: advances and applications, May 25-29, 2015, CIRM

Automorphic forms workshop, March 11-14, 2013, Dublin

Hypergeometric series and their generalizations in algebra, geometry, number theory and physics, May 29 - June 1, 2012, Paris

Prospects in q-series and modular forms, July 14-16, 2010, Dublin



Publications

Hecke-type formulas for families of unified Witten-Reshetikhin-Turaev invariants (with Kazuhiro Hikami)
In preparation.

Ramanujan-type partial theta identities and conjugate Bailey pairs, II (with Byungchan Kim)
In preparation.

Asymmetric generalizations of Schur's theorem
Preprint.

Overpartitions into distinct parts without short sequences (with Youn-Seo Choi and Byungchan Kim)
Submitted.

On some special families of q-hypergeometric Maass forms (with Kathrin Bringmann and Larry Rolen)
Submitted.

Partial indefinite theta identities (with Byungchan Kim)
J. Aust. Math. Soc., to appear.

Mock theta double sums (with Robert Osburn)
Glasgow Math. J., to appear.

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-Ramaujan 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.


Cours MPRI

2012-2013

2013-2014

2014-2015