Biographical Information

Education

• 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

Main academic positions

• Courtois Chair II in fundamental research, Université de Montréal, 2021-28
• 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

Other affiliations

• Regular member, Centre de recherches mathématiques, Montreal, 2013-
• Adjunct Professor, McGill University, 2017-
• Visiting Professor, Courant Institute, New York University, Nov-Dec 2021
• 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

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Distinctions

• Simons Fellow in Mathematics, Simons Foundation, 2025-26
• 2022 Ribenboim Prize, Canadian Number Theory Association
• Frontiers of Science Award (joint with J. Maynard), 2023, International Congress of Basic Science, Beijing
• Invited speaker, International Congress of Mathematicians, 2022, online (video of talk)
• Top 10 scientific discoveries of 2020 (joint with J. Maynard), Québec Science Magazine
• P. R. Halmos - L. R. Ford Award (joint with J. Thiel), 2013, Mathematical Association of America

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Editorial duties

• Number Theory Editor, Transactions and Memoirs of the American Math. Society, 2023-
• Number Theory Editor, European Journal of Mathematics, 2021-26

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Research funding

Fondation Courtois

• Courtois Chair II in fundamental research, 2021-28, $700,000

Natural Sciences and Engineering Research Council of Canada

• Discovery Grant, 2024-29, $275,000
• Discovery Grant, COVID extension, 2023-24, $28,000
• 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, A. Granville, M. Lalín), 2024-27, $150,000
• Projet de recherche en équippe (with C. David, A. Granville, M. Lalín), 2021-24, $150,000
• 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

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Supervision

Doctoral students

• Francisco Cirelli (UdeM, starting in Fall 2026)
• Rebecca Abi Abdallah (UdeM, ongoing)
• Panagiotis Theodoropoulos (UdeM, ongoing)
• Jeremy Schlitt (UdeM, ongoing)
• Tony Haddad (UdeM, Ph.D. 2025 → Postdoc at University of Turku)
• Stelios Sachpazis (UdeM, Ph.D. 2023 → Postdoc at University of Turku)
• Peter Zenz (McGill, joint with M. Radziwill, Ph.D. 2022 → Postdocs at Brown and at Stanford)
• Kunjakanan Nath (UdeM, Ph.D. 2021 → Postdoc at U. Illinois, Urbana-Champaign)
• Crystel Bujold (UdeM, joint with A. Granville, Ph.D. 2020 → CEGEP teacher)
• Marzieh Mehdizadeh (UdeM, joint with A. Granville, Ph.D. 2017 → Morgan Stanley, Montreal)

Master's students

• Peiran Tao (UdeM, starting in Fall 2026)
• Jalal Kassab (UdeM, ongoing)
• Félix Houde (ALGANT, Concordia/Paris-Saclay, M.Sc. 2025 → Ph.D. at U. Chicago)
• Jonah Klein (UdeM, M.Sc. 2023 → Ph.D. at U. South Carolina)
• Simon Lemieux (UdeM, M.Sc. 2023)
• Arghya Datta (UdeM, joint with A. Granville, M.Sc. 2021 → Ph.D. at U. Montréal)
• Tony Haddad (M.Sc. 2020 → Ph.D. at U. Montréal)
• Joëlle Matte (UdeM, M.Sc. 2018 → CEGEP teacher)
• Peter Zenz (ETH/McGill, joint with E. Kowalski and M. Radziwill, M.Sc. 2017 → Ph.D. at McGill)
• Antoine Comeau-Lapointe (UdeM, M.Sc. 2016 → Ph.D. at Concordia)

Summer undergraduate students

• 2025: Jesse Allen
• 2024: Rebecca Abi Abdallah
• 2022: Félix Houde
• 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

Visiting students

• 2024: Néo Tardy, M1 internship, ENS Paris-Saclay
• 2023: Ilyes Belkacem, M1 internship, ENS Paris-Saclay
• 2023-24: Yuetong Zhao, visiting PhD student, China University of Mining and Technology

Postdoctoral fellows (all co-supervised)

• Dimitrios Charamaras, 2025-present
• Rachid Caich, 2024-present
• Daodao Yang, 2023-25. Currently: Assistant Professor, Eastern Institute of Technology, China.
• Alessandro Fazzari, 2023-25. Currently: Researcher, University of Genova, Italy.
• Valeriya Kovaleva, 2022-present
• George Shakan, 2021-22. Currently: private sector.
• Alyssa Lumley, 2019-22. Currently: Assistant Professor (teaching), York University, Canada.
• Sacha Mangerel, 2018-21. Currently: Associate Professor, Durham University, UK.
• Aled Walker, 2019-20. Currently: private sector.
• Cathy Swaenepoel, 2019-20. Currently: Maître de conférences, Paris-Cité, France.
• Corentin Perret-Gentil, 2017-19. Currently: private sector.
• Niko Laaksonen, 2017-18. Currently: private sector.
• Xianchang Meng, 2017-18. Currently: Professor, Shandong University, China.
• Mattia Righetti, 2016-18.
• Stephen Lester, 2016-17. Currently: Reader, King's College London, UK.
• Sumit Giri, 2015-16. Currently: Assistant Professor, IIT Tirupati, India.
• Alastair Irving, 2014-15
• Marc Munsch, 2014-15. Currently: Maître de conférences at Université Jean Monnet.

Research papers

1. D. Koukoulopoulos
   A logarithmic structure theorem for multiplicative functions with small partial sums
   Preprint (2026), 18 pages.
2. D. Hokken and D. Koukoulopoulos
   Irreducibility and Galois groups of random reciprocal polynomials of large degree
   Preprint (2025), 49 pages.
3. D. Koukoulopoulos, Y. Lamzouri and J. D. Lichtman
   Erdős's integer dilation approximation problem and GCD graphs
   Preprint (2025), 47 pages.
4. T. Haddad and D. Koukoulopoulos
   On Arratia's coupling and the Dirichlet law for the factors of a random integer
   Journal de l'École polytechnique - Mathématiques 12 (2025), 1565-1604. DOI: 10.5802/jep.317
5. D. Koukoulopoulos, J. Maynard and D. Yang
   An almost sharp quantitative version of the Duffin-Schaeffer conjecture
   Duke Math. J. 174 (2025), no. 10, 2011-2065. DOI: 10.1215/00127094-2024-0055
6. K. Ford, D. Koukoulopoulos and T. Tao
   A lower bound on the mean value of the Erdős-Hooley Delta function
   Proc. London Math. Soc. 129 (2024), no. 1, Paper No. e12618, 18 pp.
   DOI: 10.1112/plms.12618
7. J. Klein, D. Koukoulopoulos and S. Lemieux
   On the \(j\)-th smallest modulus of a covering system with distinct moduli
   Int. J. Number Theory 20 (2024), no. 2, 471-479. DOI: 10.1142/S1793042124500234
8. D. Koukoulopoulos and T. Tao
   An upper bound on the mean value of the Erdős-Hooley Delta function
   Proc. London Math. Soc. (3) 127 (2023), no. 6, 1865-1885. DOI: 10.1112/plms.12572
9. L. Bary-Soroker, D. Koukoulopoulos and G. Kozma
   Irreducibility of random polynomials: general measures
   Invent. Math., 233 (2023), no. 3, 1041-1120. DOI: 10.1007/s00222-023-01193-6
10. K. Ford, B. Green and D. Koukoulopoulos
    Equal sums in random sets and the concentration of divisors
    Invent. Math. 232 (2023), no. 3, 1027-1160. DOI: 10.1007/s00222-022-01177-y
11. S. Bettin, C. Sanna and D. Koukoulopoulos
    A note on the natural density of product sets
    Bull. London Math. Soc. 53 (2021), no. 5, 1407-1413. DOI: 10.1112/blms.12506
12. A. Granville, D. Koukoulopoulos and J. Maynard
    Sieve weights and their smoothings
    Ann. Sci. Éc. Norm. Supér. 54 (2021), no. 5, 1089-1177. DOI: 10.24033/asens.2478
13. D. Koukoulopoulos and J. Maynard
    On the Duffin-Schaeffer conjecture
    Ann. of Math. 192 (2020), 251-307. DOI: 10.4007/annals.2020.192.1.5
14. D. Koukoulopoulos and K. Soundararajan
    The structure of multiplicative functions with small partial sums
    Discrete Anal. 2020:6, 19 pp. DOI: 10.19086/da.11963
15. A. Granville and D. Koukoulopoulos
    Beyond the LSD method for the partial sums of multiplicative functions
    Ramanujan J. 49 (2019), no. 2, 287-319. DOI: 10.1007/s11139-018-0119-3
16. J. Bober, L. Goldmakher, A. Granville and D. Koukoulopoulos
    The frequency and the structure of large character sums
    J. Eur. Math. Soc. (JEMS) 20 (2018), no. 7, 1759-1818. DOI: 10.4171/JEMS/799
17. C. David, D. Koukoulopoulos and E. Smith
    Sums of Euler products and statistics of elliptic curves
    Math. Ann. 368 (2017), 685-752. DOI: 10.1007/s00208-016-1482-2
18. S. Eberhard, K. Ford and D. Koukoulopoulos
    Permutations contained in transitive subgroups
    Discrete Anal. 2016:12, 34 pp. DOI: 10.19086/da.849
19. V. Chandee, C. David, D. Koukoulopoulos and E. Smith
    The frequency of elliptic curve groups over prime finite fields
    Canad. J. Math 68 (2016), no. 4, 721-761. DOI: 10.4153/CJM-2015-013-1
20. A. Granville, D. M. Kane, D. Koukoulopoulos and R. Lemke Oliver
    Best possible densities, as a consequence of Zhang-Maynard-Tao
    Analytic number theory. In honor of Helmut Maier's 60th birthday. pp. 133-144, Springer, Cham, 2015. DOI: 10.1007/978-3-319-22240-0_10
21. D. Koukoulopoulos
    Primes in short arithmetic progressions
    Int. J. Number Theory 11 (2015), no. 5, 1499-1521. DOI: 10.1142/S1793042115400035
22. A. Granville, D. Koukoulopoulos and K. Matomäki
    When the sieve works
    Duke Math. J. 164 (2015), no. 10, 1935-1969. DOI: 10.1215/00127094-3120891
23. D. Koukoulopoulos
    On the concentration of certain additive functions.
    Acta Arith. 162 (2014), no. 3, 223-241. DOI: 10.4064/aa162-3-2
24. D. Koukoulopoulos
    On the number of integers in a generalized multiplication table
    J. Reine Angew. Math. 689 (2014), 33-99. DOI: 10.1515/crelle-2012-0064
25. V. Chandee, C. David, D. Koukoulopoulos and E. Smith
    Group structures of elliptic curves over finite fields
    Int. Math. Res. Not. IMRN 2014, no. 19, 5230-5248. DOI: 10.1093/imrn/rnt120
26. D. Koukoulopoulos
    On multiplicative functions which are small on average
    Geom. Funct. Anal. 23 (2013), no. 5, 1569-1630. DOI: 10.1007/s00039-013-0235-6
27. D. Koukoulopoulos
    Pretentious multiplicative functions and the prime number theorem for arithmetic progressions.
    Compos. Math. 149 (2013), no. 7, 1129-1149. DOI: 10.1112/S0010437X12000802
28. D. Koukoulopoulos
    Divisors of shifted primes
    Int. Math. Res. Not. IMRN 2010, no. 24, 4585-4627. DOI: 10.1093/imrn/rnq045
29. D. Koukoulopoulos
    Localized factorizations of integers
    Proc. London Math. Soc. (3) 101 (2010), no. 2, 392-426. DOI: 10.1112/plms/pdp056
30. B. C. Berndt and D. Koukoulopoulos
    A reciprocity theorem for certain hypergeometric series
    Proc. Amer. Math. Soc. 137 (2009), 2369-2373. DOI: 10.1090/S0002-9939-09-09777-9

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Books

D. Koukoulopoulos, The Distribution of Prime Numbers, Graduate Studies in Mathematics, 203. American Mathematical Society, Providence, RI, 2019.
• Link to buy a hard copy or an e-copy from the publisher
• Link to download a preliminary version of the book (available with permission of the publisher)

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Expository papers

1. D. Koukoulopoulos
   Rational approximations of irrational numbers
   Proc. Int. Cong. Math. 2022, Vol. 3, pp. 1894-1916. EMS Press, Berlin, 2023. DOI: 10.4171/icm2022/84
2. D. Koukoulopoulos and J. Thiel
   Arrangements of stars on the American flag
   Amer. Math. Monthly, 119 (2012), no. 6, 443-450. DOI: 10.4169/amer.math.monthly.119.06.443

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Ph.D. Thesis

Generalized and restricted multiplication tables of integers. Thesis (Ph.D.)-University of Illinois at Urbana-Champaign. 2010.

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Course notes

• 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 multiplicative number theory and basic estimates for prime numbers, modular arithmetic, an introduction to diophantine equations, and an introduction to transcedental number theory and the theory of continued fractions.

• 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.

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Slides

• Metric Diophantine Approximation. Lecture 1: Khinchin's theorem and its limitations, Alpbach workshop, Alpbach, Austria, June 2024.
• Divisors, CNTA XVI, Toronto, June 2024.
• Rational approximations of irrational numbers, International Congress of Basic Sciences, Beijing, July 2023.
• The Erdős-Hooley Delta function, Journées Arithmétiques, Nancy, France, July 2023.
• Towards a high-dimensional theory of divisors of integers, Number Theory Web Seminar, October 2021.
• Rational approximations of irrational numbers, Number Theory Down Under, September 2021.
• Approximations de nombres irrationels par des nombres rationels, École Langlands, CRM, August 2021. [Lecture 1] [Lecture 2] [Lecture 3]
• Irreducibility of random polynomials of large degree, Greek Mathematical Seminar, June 2021.
• Sieve weights and their smoothings, Oberwolfach, November 2016.
• Permutations contained in transitive groups, Crete, May 2016.
• Sums of Euler products and statistics of elliptic curves, Pomerance 70, June 2015.
• Les écarts entre les nombres premiers, Club Mathématique, UdeM, April 2015.
• The frequency of elliptic curve groups over prime finite fields, CNTA XII, June 2014.
• Arrangements d'étoiles sur le drapeau américain, Club Mathématique, UdeM, April 2014.
• Pretentious multiplicative functions, CRM-ISM Colloquium, Montréal, March 2014.
• The distribution of the maximum of character sums, Fouvry 60, June 2013.
• Group structures of elliptic curves over finite fieds, 2012 CMS Winter Meeting, December 2012.
• When the sieve works, CNTA XII, June 2012.
• Generalized multiplication tables, QVNTS, October 2010.