
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 :
Luc Vinet
,
Christiane Rousseau
,
Sabin Lessard
,
François Perron
,
Sylvie Hamel
,
Gena Hahn
,
Marlène Frigon
,
Mireille Schnitzer
,
Karim Jerbi
,
Alexander Fribergh
,
Guillaume Lajoie
,
Margarida Carvalho
,
Florian Maire
,
Guy Wolf
,
Benjamin Seamone
,
Egor Shelukhin
,
Jacques Bélair
,
François Lalonde
,
Robert Gwyn Owens
,
Gilles Brassard
,
Alain Vinet
,
Michel Delfour
,
Yvan Saint Aubin
,
Manuel Morales
,
Alejandro Murua
,
Frédéric Dupont-Dupuis
,
Paul M Gauthier
,
Maciej Augustyniak
,
Manu Paranjape
,
Véronique Hussin
,
Fahima Nekka
,
Mylène Bédard
,
Christian Léger
,
Yoshua Bengio
,
Pierre Duchesne
,
Jun Li
,
Nadia El-Mabrouk
,
William Witczak-Krempa
,
Andrew Granville
,
Dana Schlomiuk
,
Iosif Polterovich
,
Hugo Chapdelaine
,
Matilde Lalin
,
Benoît Mâsse
,
Dimitrios Koukoulopoulos
,
Morgan Craig
,
Line Baribeau
,
Hélène Cossette
,
Christian Genest
,
Frédéric Gourdeau
,
Claude Levesque
,
Étienne Marceau
,
Thomas Joseph Ransford
,
Louis-Paul Rivest
,
Jean-Marie De Koninck
,
Javad Mashreghi
,
Thierry Duchesne
,
Alexandre Bureau
,
José Manuel Urquiza
,
Michael Lau
,
Jean-Philippe Lessard
,
Anne-Sophie Charest
,
Alexandre Girouard
,
Khader Khadraoui
,
Antonio Lei
,
Pengfei Guan
,
Xiaowen Chang
,
Prakash Panangaden
,
R Platt
,
Michael C. Mackey
,
John A Toth
,
Henri Darmon
,
Niky Kamran
,
Jacques Claude Hurtubise
,
Adrian Iovita
,
Peter Bartello
,
Eyal Goren
,
Dmitry Jakobson
,
Masoud Asgharian-Dastenael
,
Vojkan Jaksic
,
Daniel Tzvi Wise
,
Anthony Raymond Humphries
,
Frederic Guichard
,
Russell Steele
,
Erik P. Cook
,
Robert Brandenberger
,
Adrian Vetta
,
Erica Moodie
,
Keshav Dasgupta
,
Christophe Grova
,
David Stephens
,
Rustum Choksi
,
Abbas Khalili Mahmoudabadi
,
Gantumur Tsogtgerel
,
Johanna Neslehova
,
Jean-Christophe Nave
,
Paul François
,
Hamed Hatami
,
Anmar Khadra
,
Adam M. Oberman
,
Michael Yves Michel Pichot
,
Simon Gravel
,
Frédéric Lesage
,
Jean-Marc Lina
,
Vladimir Makarenkov
,
Alexander Maloney
,
Dana Louigi Addario-Berry
,
André Garon
,
Éric P. Marchand
,
Debbie Janice Dupuis
,
Yogendra Chaubey
,
Chantal David
,
José Garrido
,
Pawel Gora
,
John P. Harnad
,
Hershy Kisilevsky
,
Galia Dafni
,
D. Korotkin
,
Xiaowen Zhou
,
Marco Bertola
,
Arusharka Sen
,
Alexei Kokotov
,
Wei Sun
,
Cody Hyndman
,
Alina Stancu
,
Patrice Gaillardetz
,
Lea Popovic
,
André Dieter Bandrauk
,
Ibrahim Assem
,
Tomasz Kaczynski
,
Shiping Liu
,
Vasilisa Shramchenko
,
Maxime Descoteaux
,
Taoufik Bouezmani
,
François Bergeron
,
Steven P. Boyer
,
Srecko Brlek
,
Sorana Froda
,
Christophe Reutenauer
,
Roger Villemaire
,
Jean-François Renaud
,
Vestislav Apostolov
,
Steven Lu
,
Fabrice Larribe
,
Christophe Hohlweg
,
Abdoulaye Banire Diallo
,
Mathieu Boudreault
,
Geneviève Lefebvre
,
FRANCO SALIOLA
,
Alexandre Roch
,
Arthur Charpentier
,
Frédéric Rochon
,
Mathieu Pigeon
,
Bruno L. Rémillard
,
Alexandre Blondin-Massé
,
Benoit Larose
,
Thomas Brüstle
,
Richard Fournier
,
Linan Chen
,
Clement Hyvrier
,
Piotr Przytycki
,
Alfred Michel Grundland
,
Denis Talbot
,
Habib Benali
,
Frédéric Godin
,
Marcin Sabok
,
Yi Yang
,
Anne Mackay
,
Ting-Huei Chen
,
Aurélie Labbe
,
Mélina Mailhot
,
Alexandra Schmidt
,
Simon Philippe Caron-Huot
,
Laurent Charlin
,
Janosch Ortmann
,
Sarah Harrison
,
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
Funding sources:
FRQNT/Fonds de recherche du Québec - Nature et technologies (FQRNT)
Grant programs:
PVXXXXXX-(RS) Programme de regroupements stratégiques
2016
- 2023
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 :
Pavel Winternitz
,
Alfred Michel Grundland
,
Christiane Rousseau
,
Sabin Lessard
,
François Perron
,
Sylvie Hamel
,
Marlène Frigon
,
Karim Jerbi
,
Jacques Bélair
,
François Lalonde
,
Robert Gwyn Owens
,
Gilles Brassard
,
Alain Vinet
,
Michel Delfour
,
Yvan Saint Aubin
,
Manuel Morales
,
Paul M Gauthier
,
Manu Paranjape
,
Véronique Hussin
,
Fahima Nekka
,
Yoshua Bengio
,
Pierre Duchesne
,
Jiri Patera
,
Nadia El-Mabrouk
,
Louis-Pierre Arguin
,
Andrew Granville
,
Iosif Polterovich
,
Matilde Lalin
,
Dimitrios Koukoulopoulos
,
Maciej Augustyniak
,
Jun Li
,
William Witczak-Krempa
,
Mireille Schnitzer
,
Alexander Fribergh
,
Benjamin Seamone
,
Alejandro Murua
,
Laurent Charlin
,
Hélène Cossette
,
Christian Genest
,
Frédéric Gourdeau
,
Claude Levesque
,
Étienne Marceau
,
Pierre Mathieu
,
Thomas Joseph Ransford
,
Louis-Paul Rivest
,
Jean-Marie De Koninck
,
Javad Mashreghi
,
Thierry Duchesne
,
Alexandre Bureau
,
M'Hamed Lajmi Lakhal Chaieb
,
José Manuel Urquiza
,
Hugo Chapdelaine
,
Michael Lau
,
Alexandre Girouard
,
Khader Khadraoui
,
Antonio Lei
,
Pengfei Guan
,
Xiaowen Chang
,
Prakash Panangaden
,
Michael C. Mackey
,
John A Toth
,
Henri Darmon
,
Karl Peter Russell
,
Niky Kamran
,
Jacques Claude Hurtubise
,
Adrian Iovita
,
Peter Bartello
,
Eyal Goren
,
Dmitry Jakobson
,
Vojkan Jaksic
,
Daniel Tzvi Wise
,
Anthony Raymond Humphries
,
Frederic Guichard
,
Russell Steele
,
Erik P. Cook
,
Robert Brandenberger
,
Adrian Vetta
,
Erica Moodie
,
Keshav Dasgupta
,
Christophe Grova
,
Bruce Shepherd
,
David Stephens
,
Gantumur Tsogtgerel
,
Johanna Neslehova
,
Jean-Christophe Nave
,
Johannes Walcher
,
Paul François
,
Hamed Hatami
,
Anmar Khadra
,
Adam M. Oberman
,
Michael Yves Michel Pichot
,
Frédéric Lesage
,
Jean-Marc Lina
,
Alexander Maloney
,
Dana Louigi Addario-Berry
,
André Fortin
,
André Garon
,
Dominique Pelletier
,
Éric P. Marchand
,
Debbie Janice Dupuis
,
Syed Ali
,
Yogendra Chaubey
,
Christopher Cummins
,
Chantal David
,
Eusebius Jacobus Doedel
,
José Garrido
,
Pawel Gora
,
Richard Hall
,
John P. Harnad
,
Hershy Kisilevsky
,
Galia Dafni
,
D. Korotkin
,
Xiaowen Zhou
,
Benoit Larose
,
Marco Bertola
,
Alexei Kokotov
,
Wei Sun
,
Cody Hyndman
,
Alina Stancu
,
Patrice Gaillardetz
,
Lea Popovic
,
André Dieter Bandrauk
,
Ibrahim Assem
,
Tomasz Kaczynski
,
Shiping Liu
,
Virginie Charette
,
Vasilisa Shramchenko
,
Maxime Descoteaux
,
Anne Bergeron
,
François Bergeron
,
Steven P. Boyer
,
Srecko Brlek
,
Sorana Froda
,
Christophe Reutenauer
,
Roger Villemaire
,
Jean-François Renaud
,
Vestislav Apostolov
,
Steven Lu
,
Pedro Peres-Neto
,
Christophe Hohlweg
,
Mathieu Boudreault
,
Geneviève Lefebvre
,
FRANCO SALIOLA
,
Alexandre Roch
,
Frédéric Rochon
,
Karim Oualkacha
,
Mark Powell
,
Bruno L. Rémillard
,
Alexandre Blondin-Massé
,
Thomas Brüstle
,
Richard Fournier
,
Linan Chen
,
Clement Hyvrier
,
Payman Kassaei
,
Piotr Przytycki
,
Denis Talbot
,
Jean-François Coeurjolly
,
Frédéric Godin
,
Marcin Sabok
,
Yi Yang
,
Anne Mackay
,
Paramita Saha Chaudhuri
,
Jérôme Vétois
,
Ting-Huei Chen
,
Aurélie Labbe
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 :
Pavel Winternitz
,
Christiane Rousseau
,
Sabin Lessard
,
François Perron
,
Sylvie Hamel
,
Gena Hahn
,
Marlène Frigon
,
Jacques Bélair
,
François Lalonde
,
Robert Gwyn Owens
,
Gilles Brassard
,
Michel Delfour
,
Yvan Saint Aubin
,
Manuel Morales
,
Jonathan Taylor
,
Paul M Gauthier
,
Manu Paranjape
,
Véronique Hussin
,
Fahima Nekka
,
Christian Léger
,
Jean-François Angers
,
Yoshua Bengio
,
Pierre Duchesne
,
Anne Bourlioux
,
Abraham Broer
,
Jiri Patera
,
Nadia El-Mabrouk
,
Andrew Granville
,
Iosif Polterovich
,
Octavian Cornea
,
Line Baribeau
,
Christian Genest
,
Frédéric Gourdeau
,
Robert Guénette
,
Claude Levesque
,
Pierre Mathieu
,
Thomas Joseph Ransford
,
Louis-Paul Rivest
,
Jean-Marie De Koninck
,
Javad Mashreghi
,
Thierry Duchesne
,
Pengfei Guan
,
David Avis
,
Michael C. Mackey
,
James Owen Ramsay
,
John A Toth
,
Sherwin A Maslowe
,
Henri Darmon
,
David B Wolfson
,
Karl Peter Russell
,
Olga Kharlampovich
,
Niky Kamran
,
Jacques Claude Hurtubise
,
Adrian Iovita
,
Peter Bartello
,
Eyal Goren
,
Dmitry Jakobson
,
Alain C. Vandal
,
Vojkan Jaksic
,
Daniel Tzvi Wise
,
Anthony Raymond Humphries
,
Alexei Miasnikov
,
Erica Moodie
,
Thomas Wihler
,
Robert Seiringer
,
Johannes Walcher
,
Frédéric Lesage
,
Jean-Marc Lina
,
André Fortin
,
André Garon
,
John Mullins
,
Éric P. Marchand
,
Debbie Janice Dupuis
,
Syed Ali
,
Yogendra Chaubey
,
Christopher Cummins
,
Chantal David
,
Pawel Gora
,
John P. Harnad
,
Hershy Kisilevsky
,
John McKay
,
Galia Dafni
,
D. Korotkin
,
Benoit Larose
,
Marco Bertola
,
Vasek Chvatal
,
Alexander Shnirelman
,
Alina Stancu
,
Lea Popovic
,
André Dieter Bandrauk
,
Ibrahim Assem
,
Tomasz Kaczynski
,
Shiping Liu
,
Virginie Charette
,
Vasilisa Shramchenko
,
Maxime Descoteaux
,
François Bergeron
,
Steven P. Boyer
,
Srecko Brlek
,
André Joyal
,
Brenda MacGibbon
,
Christophe Reutenauer
,
Vestislav Apostolov
,
Olivier Collin
,
Steven Lu
,
Bruno L. Rémillard
,
Elisa Shahbazia Ohannessian
,
Yinannis Petridis
,
David Sankoff
,
Thomas Brüstle
,
Habib Benali
,
Nantel Bergeron
,
Simon Chauve
,
Francis Clarke
,
Richard Fournier
,
Martin Jakob Gander
,
Nadia Ghazzali
,
Alfred Michel Grundland
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