- Université de Montréal - Département de mathématiques et de statistique
I am a Professor at the
Department of Mathematics and
Statistics of the University of Montreal, and a member of the
Montreal Number Theory Group. I work in analytic number theory with a
focus on multiplicative and probabilistic aspects of number theory, the anatomy of integers and permutations, sieve methods,
and additive combinatorics.
I am looking for strong M.Sc. and Ph.D. students. Please take a look at my
list of publications and, if you think our research interests
overlap, send me an e-mail and
submit an application.
Ph.D. in mathematics, University of Illinois at Urbana-Champaign, 2010
Master's in mathematics, University of Illinois at Urbana-Champaign, 2007
Undegraduate degree in mathematics, Aristotle University of Thessaloniki, 2006
Professor, Université de Montréal, 2021-
Associate Professor, Université de Montréal, 2017-21
Assistant Professor, Université de Montréal, 2012-17
CRM-ISM Postdoctoral Fellow, Centre de recherches mathématiques, Montreal, 2010-12
Regular member, Centre de recherches mathématiques, Montreal, 2013-
Adjunct Professor, McGill University, 2017-
Research member, Institut Mittag-Leffler, Stockholm, Feb-Mar 2021
Visiting Professor, University of Genova, June 2019
Visiting Professor, University of Oxford, Jan-May 2019
Research member, Mathematical Sciences Research Institute, Berkeley, CA, Jan-May 2017
Natural Sciences and Engineering Research Council of Canada
Discovery Grant, 2018-23, $140,000
Discovery Grant, 2013-18, $100,000
Fonds de Recherche du Québec - Nature et Technologies
Projet de recherche en équippe (with C. David, M. Lalín, M. Radziwill), 2018-21, $162,000
Établissement de nouveaux chercheurs universitaires, 2012-14, $40,000
Director of Graduate Studies in mathematics, Université de Montréal, 2019-21
Scientific Committee, 2020 Winter Meeting of the Canadian Mathematical Society
Co-organizer of the workshop
Probability in Number Theory, CRM, Montreal, 2018 Co-organizer of the Colloque des sciences mathématiques du Québec, CRM, Montreal, 2016-18
Tony Haddad (current)
Arghya Datta (current, joint with A. Granville)
Stelios Sachpazis (current)
Peter Zenz (current, joint with M. Radziwill)
Kunjakanan Nath (current)
Crystel Bujold (Ph.D. 2020, joint with A. Granville)
Marzieh Mehdizadeh (Ph.D. 2017, joint with A. Granville)
Jonah Klein (current)
Simon Lemieux (current)
Tony Haddad (M.Sc. 2020)
Joëlle Matte (M.Sc. 2018)
Peter Zenz (M.Sc. 2017, joint with E. Kowalski, M. Radziwill)
Antoine Comeau-Lapointe (M.Sc. 2016)
Summer undergraduate students
2020 Jonah Klein, Simon Lemieux
2016 Antoine Giard, Youcef Mokrani
2015 Mathieu Nassif, Fabrice Nonez
2013 Vincent Girard (joint with M. Lalín),
Manuela Piñeros-Rodriguez (joint with M. Hamel)
2012 Patrick Da Silva, Suryateja Gavva, Olivier Martin (all joint with A. Granville)
2011 Philippe Charron Postdoctoral fellows (all co-supervised)
George Shakan, 2021-
Alyssa Lumley, 2019-
Sacha Mangerel, 2018-
Aled Walker, 2019-20
Cathy Swaenepoel, 2019-20
Corentin Perret-Gentil, 2017-19
Niko Laaksonen, 2017-18
Xianchang Meng, 2017-18
Mattia Righetti, 2016-18
Stephen Lester, 2016-17
Sumit Giri, 2015-16
Alastair Irving, 2014-15
Marc Munsch, 2014-15
Selected invited lectures
Plenary speaker, Journées Arithmétiques, 2022, Nancy, France
Plenary speaker, Number Theory Down Under, 2021, Sidney, Australia Erdős Lecture Series, 2020, University of Memphis
Second Symposium on Analytic Number Theory, 2019, Cetraro, Italy
Pomerance 71, 2015, Athens, GA
Analytic Number Theory, 2014, Clay Mathematics Institute, Oxford
Fouvry 60, 2013, CIRM, Luminy, France
Canadian Number Theory Association XII Meeting, 2012, Lethbridge
École Langlands (postponed due to COVID-19), CRM, Montreal
Workshop on the Duffin-Schaeffer conjecture, 2019, Heilbronn Institute, Bristol, UK
2nd French-German Summer School, 2019, Dresden, Germany
Gaps between Primes and Analytic Number Theory, 2015, MSRI, Berkeley Colloquia
University of Waterloo, 2020
Queen's University, 2020
University of Illinois at Urbana-Champaign, 2019
Princeton University, 2019
Stony Brook University, 2019
CRM, Montreal, 2014
Irreducibility of random polynomials: general measures
(with L. Bary-Soroker and G. Kozma).
Preprint, 64 pages, submitted for publication.
Equal sums in random sets and the concentration of divisors
(with K. Ford and B. Green).
Preprint, 88 pages, submitted for publication.
A note on the natural density of product sets
(with S. Bettin and C. Sanna).
Bull. London Math. Soc., 6 pages, to appear.
Sieve weights and their smoothings
(with A. Granville and J. Maynard).
Ann. Sci. Éc. Norm. Supér., 85 pages, to appear.
On the Duffin-Schaeffer conjecture (with J. Maynard).
Ann. of Math., 192 (2020), 251-307.
The structure of multiplicative functions with small partial sums
(with K. Soundararajan).
Discrete Anal., 2020:6, 19 pp.
Beyond the LSD method for the partial sums of multiplicative functions
(with A. Granville).
Ramanujan J. 49 (2019), no. 2, 287-319.
The frequency and the structure of large character sums
(with J. Bober, L. Goldmakher and A. Granville).
J. Eur. Math. Soc. (JEMS) 20 (2018), no. 7, 1759-1818.
Sums of Euler products and statistics of elliptic curves
(with C. David and E. Smith).
Math. Ann., 368 (2017), 685-752.
Permutations contained in transitive subgroups
(with S. Eberhard and K. Ford).
Discrete Anal., 2016:12, 34 pp.
DOI: 10.19086/ da.849
The frequency of elliptic curve groups over prime finite fields
(with V. Chandee, C. David and E. Smith).
Canad. J. Math, 68 (2016), no. 4, 721-761.
Best possible densities, as a consequence of Zhang- Maynard-Tao (with A. Granville, D. M. Kane and R. Lemke Oliver).
Analytic number theory. In honor of Helmut Maier's 60th birthday. pp. 133-144, Springer, Cham, 2015.
Primes in short arithmetic progressions.
Int. J. Number Theory, 11 (2015), no. 5, 1499-1521.
When the sieve works
(with A. Granville and K. Matomäki).
Duke Math. J., 164 (2015), no. 10, 1935-1969.
On the concentration of certain
Acta Arith., 162 (2014), no. 3, 223-241.
On the number of integers in a generalized multiplication table.
J. Reine Angew. Math., 689 (2014), 33-99.
Group structures of elliptic curves over finite fields
(with V. Chandee, C. David and E. Smith).
Int. Math. Res. Not. IMRN, 2013, 15 pages.
On multiplicative functions which are small on average.
Geom. Funct. Anal., 23 (2013), no. 5, 1569-1630.
Pretentious multiplicative functions and the prime number theorem for arithmetic progressions.
Compos. Math., 149 (2013), no. 7, 1129-1149.
Divisors of shifted primes.
Int. Math. Res. Not. IMRN, 2010, no. 24, 4585-4627.
Localized factorizations of integers.
Proc. London Math. Soc. (3), 101 (2010), no. 2, 392-426.
A reciprocity theorem for certain hypergeometric series
(with B. C. Berndt).
Proc. Amer. Math. Soc., 137 (2009), 2369-2373.
Analyse 2 (in French): these notes were written for the second part of an undergraduate course in Real Analysis. The contents include the theory of Riemann integration, asymptotic techniques for the estimation of sums and integrals, series and sequences of functions, and an introduction to Fourier series.
Théorie des nombres (in French): these notes were written for an advanced undergraduate course in Number Theory. The contents include basic elementary number theory, a brief introduction to group theory and its applications to the study of modular arithmetic, an introduction to diophantine equations, and an introduction to Analytic Number Theory.
Algèbre 2 (in French): these are the notes for the second part of an undergraduate course in Abstract Algebra. They cover basic ring and module theory.
Sieve weights and their smoothings, Analytic Number Theory, Oberwolfach, November 10, 2016.
Permutations contained in transitive groups, 15th Panhellenic Conference of Mathematical Analysis, University of Crete, May 28, 2016.
Sums of Euler products and statistics of elliptic curves, Elementary, analytic, and algorithmic number theory : Research inspired by the mathematics of Carl Pomerance, University of Georgia, June 10, 2015.
Les écarts entre les nombres premiers, Club Mathématique, Université de Montréal, April 11, 2015.
The frequency of elliptic curve groups over prime finite fields, Canadian Number Theory Association XII Meeting, Carleton University, June 20, 2014.
Arrangements d'étoiles sur le drapeau américain, Club Mathématique, Université de Montréal, April 9, 2014.
Pretentious multiplicative functions, CRM-ISM Colloquium, Montréal, March 14, 2014.
Group structures of elliptic curves over finite fieds, 2012 CMS Winter Meeting, Special Session on Analytic Number Theory, Montréal, December 8, 2012.
When the sieve works, Canadian Number Theory Association XII Meeting, University of Lethbridge, June 22, 2012.
Generalized multiplication tables, Québec-Maine Number Theory Conference, October 3, 2010.
Address: Université de Montréal, 2920 chemin de la Tour, Pavillon André Aisenstadt, Bureau 4163
Phone: +1 (514) 343-6716
Canada post address
Université de Montréal
CP 6128, Succ. Centre-Ville
H3C 3J7, Montréal, QC, Canada
Université de Montréal
2920 chemin de la Tour
Pavillon André Aisenstadt
Département de mathématiques et de statistique
H3T 1J4, Montréal, QC , Canada