![](/typo3conf/ext/udem_vitrine/Resources/Public/Images/image-generique.png)
Fundamental Sciences
Paul M Gauthier
Analyse complexe et théorie du potentiel
- Professeur associé
-
Faculté des arts et des sciences - Département de mathématiques et de statistique
Profile
Research expertise
My research has been in complex analysis and potential theory - mostly approximation by holomorphic or harmonic functions. In recent years, I have been trying to approach the Riemann Hypothesis, using methods of complex approximation rather than number theory. Below, I give a very small sample of some recent articles.
Affiliations and responsabilities
Research affiliations
Teaching and supervision
Student supervision
Theses and dissertation supervision (Papyrus Institutional Repository)
2006
Un principe du maximum en théorie des fonctions pour des domaines non-bornés
Graduate : Piché, Richard
Cycle : Master's
Grade : M. Sc.
Cycle : Master's
Grade : M. Sc.
2003
Propriété d'universalité de la fonction zêta de Riemann
Graduate : Samson, Jean-Philippe
Cycle : Master's
Grade : M. Sc.
Cycle : Master's
Grade : M. Sc.
2003
Approximation uniforme par fonctions aléatoires
Graduate : Manka, Sébastien
Cycle : Master's
Grade : M. Sc.
Cycle : Master's
Grade : M. Sc.
Projects
Research projects
2022
- 2029
Centre de recherches mathématiques (CRM)
Lead researcher :
Octavian Cornea
Co-researchers :
Yoshua Bengio
,
François Lalonde
,
Gilles Brassard
,
Michel Delfour
,
Marlène Frigon
,
Véronique Hussin
,
Christiane Rousseau
,
Jacques Bélair
,
Paul M Gauthier
,
Sabin Lessard
,
Alain Vinet
,
Nadia El-Mabrouk
,
Gena Hahn
,
Christian Léger
,
Fahima Nekka
,
Iosif Polterovich
,
Yvan Saint Aubin
,
Andrew Granville
,
Sylvie Hamel
,
Manuel Morales
,
François Perron
,
Mylène Bédard
,
Pierre Duchesne
,
Matilde Lalin
,
Robert Gwyn Owens
,
Manu Paranjape
,
Dana Schlomiuk
,
Luc Vinet
,
Mireille Schnitzer
,
Karim Jerbi
,
Alexander Fribergh
,
Alejandro Murua
,
Maciej Augustyniak
,
Benoît Mâsse
,
Dimitrios Koukoulopoulos
,
Jun Li
,
Benjamin Seamone
,
William Witczak-Krempa
,
Egor Shelukhin
,
Morgan Craig
,
Guillaume Lajoie
,
Margarida Carvalho
,
Guy Wolf
,
Florian Maire
,
Frédéric Dupont-Dupuis
,
Michael C. Mackey
,
Frédéric Lesage
,
Russell Steele
,
Erica Moodie
,
Paul François
,
Henri Darmon
,
Maxime Descoteaux
,
Prakash Panangaden
,
André Dieter Bandrauk
,
Peter Bartello
,
Chantal David
,
Jean-Marc Lina
,
Anthony Raymond Humphries
,
John P. Harnad
,
Jacques Claude Hurtubise
,
Pengfei Guan
,
John A Toth
,
Niky Kamran
,
Adrian Iovita
,
Eyal Goren
,
Dmitry Jakobson
,
Vojkan Jaksic
,
Daniel Tzvi Wise
,
André Garon
,
Éric P. Marchand
,
Debbie Janice Dupuis
,
Yogendra Chaubey
,
Pawel Gora
,
Hershy Kisilevsky
,
Galia Dafni
,
D. Korotkin
,
Marco Bertola
,
Alina Stancu
,
Lea Popovic
,
Ibrahim Assem
,
Tomasz Kaczynski
,
Shiping Liu
,
Vasilisa Shramchenko
,
Bruno L. Rémillard
,
Richard Fournier
,
Alfred Michel Grundland
,
David Stephens
,
Xiaowen Chang
,
Frederic Guichard
,
Erik P. Cook
,
Robert Brandenberger
,
Adrian Vetta
,
Keshav Dasgupta
,
Christophe Grova
,
Gantumur Tsogtgerel
,
Johanna Neslehova
,
Jean-Christophe Nave
,
Anmar Khadra
,
Adam M. Oberman
,
Michael Yves Michel Pichot
,
Alexander Maloney
,
Dana Louigi Addario-Berry
,
José Garrido
,
Alexei Kokotov
,
Wei Sun
,
Patrice Gaillardetz
,
Linan Chen
,
Piotr Przytycki
,
Vladimir Makarenkov
,
Louis-Paul Rivest
,
François Bergeron
,
Steven P. Boyer
,
Line Baribeau
,
Frédéric Gourdeau
,
Claude Levesque
,
Thomas Joseph Ransford
,
Jean-Marie De Koninck
,
Javad Mashreghi
,
Thierry Duchesne
,
Srecko Brlek
,
Christophe Reutenauer
,
Vestislav Apostolov
,
Steven Lu
,
Geneviève Lefebvre
,
Hélène Cossette
,
Étienne Marceau
,
José Manuel Urquiza
,
Hugo Chapdelaine
,
Michael Lau
,
Alexandre Girouard
,
Antonio Lei
,
Jean-François Renaud
,
Christophe Hohlweg
,
Mathieu Boudreault
,
FRANCO SALIOLA
,
Alexandre Roch
,
Frédéric Rochon
,
Alexandre Blondin-Massé
,
Clement Hyvrier
,
Denis Talbot
,
Alexandre Bureau
,
Fabrice Larribe
,
Aurélie Labbe
,
Cody Hyndman
,
Khader Khadraoui
,
Hamed Hatami
,
Roger Villemaire
,
Frédéric Godin
,
Marcin Sabok
,
Yi Yang
,
Anne Mackay
,
Jérôme Vétois
,
Ting-Huei Chen
,
Habib Benali
,
Taoufik Bouezmani
,
Christian Genest
,
Xiaowen Zhou
,
Sorana Froda
,
Mélina Mailhot
,
Alexandra Schmidt
,
Simon Philippe Caron-Huot
,
Abdoulaye Banire Diallo
,
Jean-Philippe Lessard
,
Sarah Harrison
,
Anne-Sophie Charest
,
Masoud Asgharian-Dastenael
,
Rustum Choksi
,
Abbas Khalili Mahmoudabadi
,
Simon Gravel
,
Arusharka Sen
,
Arthur Charpentier
,
Mathieu Pigeon
,
Benoit Larose
,
Thomas Brüstle
,
Laurent Charlin
,
Janosch Ortmann
,
Tim Hoheisel
,
Jean Deteix
,
Jessica Lin
,
Michael Lipnowski
,
Giovanni Rosso
,
Thomas Hugh
,
Jean-Philippe Burelle
,
Julien Keller
,
Félix Camirand Lemyre
,
Marie-Pier Côté
,
Damir Kinzebulatov
,
Duncan McCoy
,
Klaus Herrmann
,
Felix Kwok
,
Courtney Paquette
,
Anush Tserunyan
,
Suresh Krishna
,
Valentino Tosatti
,
Patrick Brodie Allen
,
Behrooz Yousefzadeh
,
Marc-Hubert Nicole
,
Rober Platt
Funding sources:
FRQNT/Fonds de recherche du Québec - Nature et technologies (FQRNT)
Grant programs:
PVXXXXXX-(RS) Programme de regroupements stratégiques
2016
- 2025
Complex approximation on Riemann surfaces and in infinite dimensions
Lead researcher :
Paul M Gauthier
Funding sources:
CRSNG/Conseil de recherches en sciences naturelles et génie du Canada (CRSNG)
Grant programs:
PVX20965-(RGP) Programme de subvention à la découverte individuelle ou de groupe
2015
- 2023
CENTRE DE RECHERCHES MATHEMATIQUES (CRM)
Co-researchers :
Yoshua Bengio
,
François Lalonde
,
Gilles Brassard
,
Michel Delfour
,
Marlène Frigon
,
Véronique Hussin
,
Christiane Rousseau
,
Pavel Winternitz
,
Jacques Bélair
,
Paul M Gauthier
,
Sabin Lessard
,
Alain Vinet
,
Nadia El-Mabrouk
,
Fahima Nekka
,
Jiri Patera
,
Iosif Polterovich
,
Yvan Saint Aubin
,
Andrew Granville
,
Sylvie Hamel
,
Manuel Morales
,
François Perron
,
Pierre Duchesne
,
Matilde Lalin
,
Robert Gwyn Owens
,
Manu Paranjape
,
Alfred Michel Grundland
,
Mireille Schnitzer
,
Karim Jerbi
,
Alexander Fribergh
,
Alejandro Murua
,
Maciej Augustyniak
,
Louis-Pierre Arguin
,
Dimitrios Koukoulopoulos
,
Jun Li
,
Benjamin Seamone
,
William Witczak-Krempa
,
Laurent Charlin
,
Dominique Pelletier
,
Michael C. Mackey
,
Frédéric Lesage
,
Russell Steele
,
Erica Moodie
,
Paul François
,
Henri Darmon
,
Maxime Descoteaux
,
Prakash Panangaden
,
André Dieter Bandrauk
,
Peter Bartello
,
Chantal David
,
Jean-Marc Lina
,
Johannes Walcher
,
Anthony Raymond Humphries
,
John P. Harnad
,
Jacques Claude Hurtubise
,
Pengfei Guan
,
John A Toth
,
Karl Peter Russell
,
Niky Kamran
,
Adrian Iovita
,
Eyal Goren
,
Dmitry Jakobson
,
Vojkan Jaksic
,
Daniel Tzvi Wise
,
André Garon
,
Éric P. Marchand
,
Debbie Janice Dupuis
,
Syed Ali
,
Yogendra Chaubey
,
Christopher Cummins
,
Pawel Gora
,
Hershy Kisilevsky
,
Galia Dafni
,
D. Korotkin
,
Benoit Larose
,
Marco Bertola
,
Alina Stancu
,
Lea Popovic
,
Ibrahim Assem
,
Tomasz Kaczynski
,
Shiping Liu
,
Virginie Charette
,
Vasilisa Shramchenko
,
Bruno L. Rémillard
,
Thomas Brüstle
,
Richard Fournier
,
David Stephens
,
Xiaowen Chang
,
Frederic Guichard
,
Erik P. Cook
,
Robert Brandenberger
,
Adrian Vetta
,
Keshav Dasgupta
,
Christophe Grova
,
Bruce Shepherd
,
Gantumur Tsogtgerel
,
Johanna Neslehova
,
Jean-Christophe Nave
,
Anmar Khadra
,
Adam M. Oberman
,
Michael Yves Michel Pichot
,
Alexander Maloney
,
Dana Louigi Addario-Berry
,
Eusebius Jacobus Doedel
,
José Garrido
,
Richard Hall
,
Alexei Kokotov
,
Wei Sun
,
Patrice Gaillardetz
,
Linan Chen
,
Payman Kassaei
,
Piotr Przytycki
,
André Fortin
,
Louis-Paul Rivest
,
François Bergeron
,
Steven P. Boyer
,
Frédéric Gourdeau
,
Claude Levesque
,
Pierre Mathieu
,
Thomas Joseph Ransford
,
Jean-Marie De Koninck
,
Javad Mashreghi
,
Thierry Duchesne
,
Srecko Brlek
,
Christophe Reutenauer
,
Vestislav Apostolov
,
Steven Lu
,
Geneviève Lefebvre
,
Pedro Peres-Neto
,
Hélène Cossette
,
Étienne Marceau
,
José Manuel Urquiza
,
Hugo Chapdelaine
,
Michael Lau
,
Alexandre Girouard
,
Antonio Lei
,
Anne Bergeron
,
Jean-François Renaud
,
Christophe Hohlweg
,
Mathieu Boudreault
,
FRANCO SALIOLA
,
Alexandre Roch
,
Frédéric Rochon
,
Mark Powell
,
Alexandre Blondin-Massé
,
Clement Hyvrier
,
Denis Talbot
,
Alexandre Bureau
,
M'Hamed Lajmi Lakhal Chaieb
,
Karim Oualkacha
,
Aurélie Labbe
,
Cody Hyndman
,
Khader Khadraoui
,
Hamed Hatami
,
Roger Villemaire
,
Jean-François Coeurjolly
,
Frédéric Godin
,
Marcin Sabok
,
Yi Yang
,
Anne Mackay
,
Paramita Saha Chaudhuri
,
Jérôme Vétois
,
Ting-Huei Chen
,
Christian Genest
,
Xiaowen Zhou
,
Sorana Froda
Funding sources:
FRQNT/Fonds de recherche du Québec - Nature et technologies (FQRNT)
Grant programs:
PVXXXXXX-(RS) Programme de regroupements stratégiques
2008
- 2016
CENTRE DE RECHERCHES MATHEMATIQUES (CRM)
Lead researcher :
Luc Vinet
Co-researchers :
Yoshua Bengio
,
François Lalonde
,
Gilles Brassard
,
Michel Delfour
,
Marlène Frigon
,
Véronique Hussin
,
Christiane Rousseau
,
Pavel Winternitz
,
Jacques Bélair
,
Anne Bourlioux
,
Paul M Gauthier
,
Sabin Lessard
,
Jean-François Angers
,
Abraham Broer
,
Nadia El-Mabrouk
,
Gena Hahn
,
Christian Léger
,
Fahima Nekka
,
Jiri Patera
,
Iosif Polterovich
,
Yvan Saint Aubin
,
Andrew Granville
,
Sylvie Hamel
,
Manuel Morales
,
François Perron
,
Octavian Cornea
,
Pierre Duchesne
,
Robert Gwyn Owens
,
Manu Paranjape
,
Jonathan Taylor
,
Michael C. Mackey
,
Frédéric Lesage
,
Erica Moodie
,
Henri Darmon
,
Maxime Descoteaux
,
André Dieter Bandrauk
,
Peter Bartello
,
Chantal David
,
Jean-Marc Lina
,
Johannes Walcher
,
Anthony Raymond Humphries
,
John P. Harnad
,
Jacques Claude Hurtubise
,
Pengfei Guan
,
David Avis
,
James Owen Ramsay
,
John A Toth
,
Sherwin A Maslowe
,
David B Wolfson
,
Karl Peter Russell
,
Olga Kharlampovich
,
Niky Kamran
,
Adrian Iovita
,
Eyal Goren
,
Dmitry Jakobson
,
Alain C. Vandal
,
Vojkan Jaksic
,
Daniel Tzvi Wise
,
Alexei Miasnikov
,
Thomas Wihler
,
Robert Seiringer
,
André Garon
,
John Mullins
,
Éric P. Marchand
,
Debbie Janice Dupuis
,
Syed Ali
,
Yogendra Chaubey
,
Christopher Cummins
,
Pawel Gora
,
Hershy Kisilevsky
,
John McKay
,
Galia Dafni
,
D. Korotkin
,
Benoit Larose
,
Marco Bertola
,
Vasek Chvatal
,
Alexander Shnirelman
,
Alina Stancu
,
Lea Popovic
,
Ibrahim Assem
,
Tomasz Kaczynski
,
Shiping Liu
,
Virginie Charette
,
Vasilisa Shramchenko
,
Bruno L. Rémillard
,
Yinannis Petridis
,
David Sankoff
,
Thomas Brüstle
,
Habib Benali
,
Nantel Bergeron
,
Simon Chauve
,
Francis Clarke
,
Richard Fournier
,
Martin Jakob Gander
,
Nadia Ghazzali
,
Alfred Michel Grundland
,
André Fortin
,
Louis-Paul Rivest
,
Christian Genest
,
François Bergeron
,
Steven P. Boyer
,
Line Baribeau
,
Frédéric Gourdeau
,
Robert Guénette
,
Claude Levesque
,
Pierre Mathieu
,
Thomas Joseph Ransford
,
Jean-Marie De Koninck
,
Javad Mashreghi
,
Thierry Duchesne
,
Srecko Brlek
,
André Joyal
,
Brenda MacGibbon
,
Christophe Reutenauer
,
Vestislav Apostolov
,
Olivier Collin
,
Steven Lu
,
Elisa Shahbazia Ohannessian
Funding sources:
FRQNT/Fonds de recherche du Québec - Nature et technologies (FQRNT)
Grant programs:
PVXXXXXX-(RS) Programme de regroupements stratégiques
1994
- 2015
ANALYTIC APPROXIMATION
Lead researcher :
Paul M Gauthier
Funding sources:
CRSNG/Conseil de recherches en sciences naturelles et génie du Canada (CRSNG)
Grant programs:
PVX20965-(RGP) Programme de subvention à la découverte individuelle ou de groupe
Outreach
Publications and presentations
Disciplines
- Statistics
Areas of expertise
- Algebra
- Functional Analysis
- Global and Non-Linear Analysis
- Asymptotic and Classical Applied Analysis
- Combinatorial
- Differential Equation
- Actuarial Studies
- Data mining
- Geometry
- Parametric and Non-Parametric Inference
- Logic
- Discreet Mathematics
- Meta-Analysis
- Stochastic Processes
- Computer Science and Statistics
- Theoretical Statistics
- Probability Theory
- Numbers Theory
- Topology