#
Henri Darmon's Graduate Students

##
PhD Students

1998. Hassan Daghigh

*Modular forms, quaternion algebras, and special values of L-functions*.

(pdf).

*Current position*: Professor, Kashan University, Iran

2000. Ignazio Longhi

*Non-archimedean integration and
special values of L-functions for elliptic curves over
function fields*

(dvi,
ps)

*Current position*: Professor, Xian-Jiaotong-Liverpool University, Suzhou.

2001. Dominic Lemelin

*Mazur-Tate type conjectures for elliptic curves defined over quadratic imaginary fields*

(dvi,
ps)

*Current position*: Teacher, CEGEP Marianopolis

2002. Lassina Dembélé

*Explicit computations of Hilbert modular forms on ***Q**(5)

(dvi,
ps)

*Current position*: Lecturer in computational number theory, Kings College London.

2005. Isabelle Déchène

*Generalized jacobians in cryptography*

(pdf)

*Current position*: Assistant Professor, University of Ottawa (now deceased).

2006. Matt Greenberg

* Heegner points and rigid analytic modular forms*

(pdf)

*Current position*: Associate Professor, University of Calgary.

2007. Hugo Chapdelaine

*Elliptic units in ray class fields of real quadratic number fields*

(pdf)

*Current position*: Associate Professor, Université Laval

2008. Shahab Shahabi.

*p-adic deformation of Shintani cycles*

(pdf)

*Current position*: Teacher, CEGEP Dawson

2011. Marc Masdeu.

* CM cycles on varieties fibered over Shimura curves and p-adic L-functions*.

(pdf)

*Current position*: Associate Professor, Universitat Autonoma de Barcelona.

2011. Yu Zhao.

*The Birch and Swinnerton-Dyer conjecture for ***Q**-curves

(pdf)

*Current position*: Teacher, CEGEP John Abbott

2011. Cameron Franc.

*
Nearly rigid analytic modular forms
and their values at CM points*

(pdf)

*Current position*: Assistant Professor, McMaster University.

2013. Francesc Castella.

*On the p-adic variation of Heegner points.*

(pdf)

*Current position*: Professor, UC Santa Barbara.

2014. Luiz Takei.

* Arithmetic aspects of triangle groups.*

(pdf)

*Current position*: Teacher, CEGEP Dawson

2014. Luca Candelori.

*Metaplectic stacks and vector-valued modular forms of half-integral weight*.

(pdf)

*Current position*: Associate Professor, Wayne State University.

2014. Clément Gomez.

*On Mazur-Tate type conjectures for quadratic imaginary fields and elliptic
curves.*

(pdf)

*Current position*: French government

2015. Yara Elias.

*The Euler system of generalized Heegner cycles.*

(pdf)

*Current position*: Postdoctoral fellow, Max Plank Institute, Bonn and
ICTP, Trieste. Now working in Industry.

2015. Juan Restrepo.

*Stark-Heegner points attached to Cartan non-split curves*

(pdf).

*Current position*: Private sector, California.

Bahare Mirza, abd.

Current position: teacher in CEGEP.

Bruno Joyal, ABD.

2018. Nicolas Simard.

*Petersson inner product of theta series*

(pdf).

*Current position*: Artificial intelligence and machine learning,
Montreal.

2018. Alice Pozzi.

*The eigencurve at weight one Eisenstein points*

(pdf).

*Current position*: Tenure track, University of Bristol.

2019. Michele Fornea.

*On twisted triple products and the arithmetic of elliptic curves*.

(pdf).

*Current position*: Princeton University and Simons Junior Fellow, Columbia University. Postdoc in U. of Barcelona.

2021. James Rickards.

*Intersections of closed geodesics on Shimura curves*

(pdf).

*Current position*: Post-doctoral fellow, University of Colorado.

2021. David Lilienfeldt.

*Algebraic cycles and diophantine geometry: generalised Heegner cycles, quadratic Chabauty and diagonal cycles.*

(pdf).

*Current positions*: Post-doctoral fellow, Hebrew University, Jerusalem.
Postdoctoral fellow, University of Leiden.

2022. Isabella Negrini.

*A Shimura-Shintani correspondence for rigid analytic cocycles of higher weight*.

(pdf).

*Current positions*: Post-doctoral fellow, UBC, MSRI, and University of Toronto.

2023. Peter Xu.

*
Arithmetic Eisenstein theta lifts*.

(pdf).

* Current position*: Hedrick Assistant Professor, UCLA.

Antoine Giard, in progress.

Marti Roset Julia, in progress.

Hughes Bellemare, in progress.

Hazem Hassan, in progress.

Arihant Jain, in progress.

Shousen Lu, in progress.

##
Involvement with PhD Students at other institutions

2004. Samit Dasgupta. (PhD, Berkeley, under the supervision of Kenneth Ribet.)

*Gross-Stark units, Stark-Heegner points,
and class fields of real quadratic fields*

(dvi,
ps).

*Current position*: Professor, Duke University.

##
Masters Students

1996. Nicholas Arsenault.

*The class groups of arithmetically equivalent algebras*

(pdf).

*Current position*: Teacher, College de Maisonneuve.

1996. Steve Thiboutot

*Courbes elliptiques, représentations galoisiennes, et l'équation
x*^{2}+y^{3}=z^{5}.

(dvi,
ps,
pdf)

*Current position*: Teacher, College de Maisonneuve. (Deceased).

1999. Isabelle Dechene

*Quaternion Algebras and the graph method for elliptic curves*

(pdf).

*Current position*: Assistant professor, University of Ottawa. (Deceased).

1999. Jody Esmonde

* Parametric solutions to the generalized Fermat equation *

(pdf).

*Current position*:
Associate Professor and Associate Chair, Graduate Studies,
Department of Curriculum, Teaching, and Learning at Ontario Institute for
Studies in Education, University of Toronto.

2000. Ian Stewart

*The rigidity method and applications *

(pdf).

*Current position*:
GMAT Instructor, GMATiX, London.

2001. Colin Stewart

*Universal deformations, rigidity, and Ihara's cocycle*

(dvi,
ps,
pdf.
)

*Current position*:
Associate professor with tenure, Department of economics, University of
Toronto.

2004. Antoine Gournay

*Heegner points on elliptic curves of conductor
less than 3000 *

(dvi,
pdf.
)

Here is the Heegner points Package that
Gournay wrote to do the calculations in his thesis.

*Current position*:
Post-doc, Insitute of Geometry, Department of Mathematics, T.U. Dresden.

2008. Jérome Grand'Maison

*Determining the zeta function of curves via **p*-adic cohomology and
deformation theory.

(pdf.
)

2009. Gabriel Gauthier-Shalom

*The Birch and Swinnnerton-Dyer conjecture for the Mazur-Kitagawa
**p*-adic *L*-function in the presence of an exceptional zero

(pdf.)

*Current position*:
PhD student, University of Waterloo.

2010. Luca Candelori.

*Towards a p-adic theory of harmonic weak Maass forms*

(pdf.)

*Current position*:
Postdoc, Louisiana State University.

2010. James Leahy.

*An Introduction to Tate's Thesis*

(pdf.)

*Current position*:
Assistant Professor, University of Southern Califonria, Dornsife.

2012. Reza Sadoughian.

*Rankin L-functions and the Birch and Swinnerton-Dyer conjecture*

(pdf.)

*Current position*:
PhD Student, UBC

2014. Nicolas Simard.

*The Mazur-Tate pairing and explicit homomorphisms between Mordell-Weil groups of elliptic curves and ideal class groups*

(pdf.)

*Current position*:
PhD Student, McGill

2014. Francois Seguin.

*Numerical verification of a "Birch and Swinnerton-Dyer type" conjecture*.

(pdf.)

*Current position*:
PhD Student, Queens University

2017. Hao (Billy) Lee.

*Irregular weight one points with dihedral image*.

(pdf.)

*Current position*:
PhD Student, University of Chicago.

2017. Isabella Negrini.

*On the computation of p-adic theta functions arising from the
Hurwitz quaternions.*.

(pdf.)

*Current position*:
PhD Student, McGill University.

2017. Ervin Thiagalingam, AbD.

2020. Andy Ramirez-Coté.

*Canonical and quasi-canonical lifts of elliptic curves*.

(pdf.)

*Current position*:
PhD Student, University of Toronto.