William Verreault

Submitted for publication 

16. On the minimal length of addition chains. [PDF]
J.-M. De Koninck, N. Doyon, W. Verreault. 24 pp.

15. The Cesàro operator on local Dirichlet spaces. [arXiv, PDF]
E. Dellepiane, J. Mashreghi, M. Nasri, W. Verreault. 13 pp.

14. Moments of random multiplicative functions over function fields. [arXiv, PDF]
M. C. E. Hoffman, A. Hoganson, S. Menon, W. Verreault, A. Zaman. 32 pp.

13. Counting involutions on multicomplex spaces. [arXiv, PDF]
N. Doyon, P.-O. Parisé, W. Verreault. 23 pp.

12. A counterexample to symmetry of L^p norms of eigenfunctions. [arXiv, PDF]
G. Beiner, N. Eagles, W. Verreault, R. Wang. 6 pp. 

11. Plank theorems and their applications: a survey.  [arXiv, PDF]
W. Verreault. 46 pp.

Published/accepted 

10. Arithmetic functions at factorial arguments. [arXiv, PDF]
J.-M. De Koninck, W. Verreault. Publ. Inst. Math. (2024), 115(129), 45-76.

9. Nonlinear expansions in reproducing kernel Hilbert spaces. [arXiv, PDF]
J. Mashreghi, W. Verreault. Sampl. Theory Signal Process. Data Anal. 21, 30 (2023), 17 pp.

8. On the tower factorization of integers. [arXiv, PDF]
J.-M. De Koninck, W. Verreault. Amer. Math. Monthly (2024), 8 pp.

7. Failure of L^p symmetry of zonal spherical harmonics. [arXiv, PDF]
G. Beiner, W. Verreault.  J. Spectr. Theory (2023), no.1, 383-394.

6. A conjectural asymptotic formula for multiplicative chaos in number theory. [arXiv, PDF]
D. Aggarwal, U. Subedi, W. Verreault, A. Zaman, and C. Zheng. Res. Number Theory 8 (2022), no. 2, Paper No. 35, 19 pp.

5. Sums of random multiplicative functions over function fields with few irreducible factors. [arXiv, PDF]
D. Aggarwal, U. Subedi, W. Verreault, A. Zaman, C. Zheng.  Math. Proc. Cambridge Philos. Soc. 173 (2022), no. 3, 715-726.

4. MacMahon partition analysis: a discrete approach to broken sticks problems. [arXiv, PDF]
W. Verreault. J. Combin. Theory Ser. A. 187 (2022): 105571, 15 pp.

3. On the probability of forming polygons from a broken stick. [arXiv, PDF]
W. Verreault. Statist. Probab. Lett. 180 (2022): 109237, 8 pp.

2. Repetitions of multinomial coefficients and a generalization of Singmaster’s conjecture. [arXiv, PDF]
J.-M. De Koninck, N. Doyon, W. Verreault. Integers 21 (2021), 11 pp.

1. Bounds for the counting function of the Jordan-Pólya numbers. [arXiv, PDF]
J.-M. De Koninck, N. Doyon, W. Verreault, A.A. Bonkli Razafindrasoanaivolala. Arch. Math. (Brno) 56 (2020), 141-152.

Expository articles and thesis 

Développements en séries non linéaires. [PDF]
W. Verreault. Master thesis (2023). 

Du triangle de Pascal aux simplexes de Pascal. [Accromath, PDF]
W. Verreault. Accromath, 15.2 (été-automne 2020), 18-23.

Bold text below a bullet point indicates a talk title

Upcoming Travels

• Complex Faces, in honor of Nikolai Makarov, Venice, Apr. 7 – 11

• Ontario Graduate Mathematics Conference (OGMC), University of Toronto, May 30 – June 1

• CMS Summer Meeting 2025, Université Laval, June 6 – June 9

• PIMS-CRM Summer School in Probability, University of British Columbia, June 16 – June 27

2025

• Number Theory Seminar, University of Waterloo, Mar. 7,
  On the minimal length of addition chains

• Bird’s Eye Conference, University of Toronto, Mar. 1 – 2
  The Gaussian free field for analysts

• Workshop on Disordered Media, Rényi Institute, Jan. 27 – 31

• School on Disordered Media, Rényi Institute, Jan. 20 – 24
  Permanent of random Rademacher matrices

• Joint Mathematics Meetings (AMS Special Session on New Faces in Operator Theory), Seattle, Jan. 8 – 11,
  The Cesàro operator on local Dirichlet spaces

2024 

• Probability Seminar, University of Victoria, Dec. 3,
  Random multiplicative functions: past, present, and future 

• CMS Winter Meeting 2024 (Operator Theory, Function Theory, and Geometry: Connections to Corona Problems and Geometric Analysis), Kwantlen Polytechnic University, Nov. 29 – Dec. 2
  The Cesàro operator on local Dirichlet spaces

• Analysis and Applied Math Seminar, University of Toronto, Oct. 25,
  The Cesàro operator on local Dirichlet spaces

• Junior Number Theory Seminar, University of Toronto, Oct. 24,
  On the distribution of the minimal length of addition chains

• Graduate Student Seminar, University of Toronto, Oct. 17,
  Loops, Clusters, and Whatnot

• Midwest Probability Colloquium, Northwestern University, Oct. 10 – 12

• Québec-Maine Number Theory Conference, Université Laval, Oct. 5 – 6,
  Moments of random multiplicative functions over function fields

• Analysis seminar, Université Laval, Oct. 4,
  L'opérateur de Cesàro sur les espaces de Dirichlet locaux

• 11th Heidelberg Laureate Forum (HLF), Heidelberg, Sept. 22 – 27

• Visit Paris-Saclay University, Institut des Hautes Études Scientifiques and Institut de Mathématique d'Orsay, Sept. 16 – 20

• Special topic school: ''Recent Developments in Disordered Systems'', Hausdorff Center for Mathematics, Sept. 9 – 13

• Path Integrals and Friends Conference, University of Helsinki, Sept. 2 – 6

• Advances in Probability Theory and Interacting Particle Systems: A Conference in Honor of S. R. Srinivasa Varadhan, Harvard University, Aug. 26 – 28

• Forward From the Fields Medal, Fields Institute, Aug. 12 – 16

• CMI-HIMR Summer School on Symmetry and Randomness, University of  Bristol, July 15 – 19,
  Schramm–Loewner evolution (SLE) in 2 minutes (Lightning talk) 

• Workshop on Two-Dimensional Random Geometry, Institute for Mathematical and Statistical Innovation (IMSI), July 8 – 12

• CRM-PIMS Summer School in Probability, Université de Montréal, July 1 – 5 

• Canadian Number Theory Association XVI (CNTA), Fields Institute, June 10 – 14 

• Ontario Graduate Mathematics Conference (OGMC), University of Waterloo, June 7 – 9,
  Exploration of Lattice Models and SLE

• CMS Summer Meeting 2024 (Number theory by early career researchers), University of Saskatchewan, May 31 – June 3,
  Moments of random multiplicative functions over functions fields

• Workshop III: Statistical Mechanics Beyond 2D (part of the Long Program on Geometry, Statistical Mechanics, and Integrability) Institute for Pure & Applied Mathematics (IPAM), May 6 – 10

• Shapes and shades of Analysis: in depth and beyond / Formes et nuances de l’analyse moderne, Centre International de Rencontres Mathématiques (CIRM), Apr. 29 – May 3

• Jane Street Graduate Research Fellowship Research Workshop, New York, Apr. 13 – 15,
  Series expansion via unwinding (Poster)

• Bird’s Eye Conference, University of Toronto, Mar. 23 – 24,
  Exploration of Lattice Models and SLE

• Junior Number Theory Seminar, University of Toronto, Mar. 19,
  Probability and Number Theory Redux

• Workshop on New Directions in Conformal Field Theory, Fields Institute, Mar. 18 – 22

• Universality & Integrability in KPZ Workshop, Columbia University, Mar. 11 – 15

• Workshop on KPZ meets KPZ, Fields Institute, Mar. 4 – 8

• Graduate Student Seminar, University of Toronto, Feb. 15,
  Hypercomplex Analysis, Combinatorics, and Linear Algebra (Or how to count things in multicomplex spaces)

• Joint Mathematics Meetings (AMS Special Session on New Faces in Operator Theory and Function Theory), San Francisco, Jan. 3 – 6,
  Nonlinear expansions in reproducing kernel Hilbert spaces

2023 

• CMS Winter Meeting 2023 (A celebration in honor of Jean-Marie De Koninck's 75th birthday: Elementary and Analytic Number Theory session), Montreal, Dec. 1 – 4,
  Towers of primes

• Analysis and Applied Math Seminar, University of Toronto, Nov. 17
  Nonlinear expansions in reproducing kernel Hilbert spaces 

• Junior Number Theory Seminar, University of Toronto, Nov. 1,
  Probability and Number Theory

• 10th Heidelberg Laureate Forum (HLF), Heidelberg, Sept. 24 – 29

• Journées Arithmétiques, Université de Lorraine, July 3 – 7,
  Sums of arithmetic functions running on factorials 

• Canadian Undergraduate Mathematics Conference (CUMC), University of Toronto, June 19 – 23,
  Towers of primes

• Early Career Research in Number Theory session (CMS Summer Meeting 2023), University of Ottawa, June 2 – 5,
  Sums of arithmetic functions running on factorials 

• CMS Summer Meeting 2023 (Matrices and Operators session), University of Ottawa, June 2 – 5,
  Nonlinear expansions in reproducing kernel Hilbert spaces

• Ottawa Mathematics and Statistics Conference (OMSC), University of Ottawa, May 24 – 26,
  Développements non-linéaires dans des espaces de Hilbert à noyau reproduisant (2nd place at the Three Minute Thesis (3MT) Competition) 

• Ottawa Mathematics and Statistics Conference (OMSC) 2023, University of  Ottawa, May 24 – 26,
  Développements en série non-linéaires

• Spectral Geometry and Applications Conference, Université Laval, May 8 – 12

• Seminars on Undergraduate Mathematics in Montreal (SUMM), Université de Montréal, Jan. 6 – 8,
  Des tours de premiers

2022 

• Pacific Rim Mathematical Association Congress (PRIMA) (Early Career Research Showcase), Vancouver, Dec. 4 – 9,
  Series expansion via unwinding (Poster) 

• CMS Winter Meeting 2022 (AARMS – CMS Student Poster Session), Toronto, Dec. 2 – 5,
  Series expansion via unwinding (Winner of the Poster Competition)

• Québec-Maine Number Theory Conference, Université Laval, Oct. 15 – 16,
  Asymptotics for compositions under constraints

• A celebration of analytic number theory, a conference in honor of Andrew Granville, Centre de recherches mathématiques (CRM), Sept. 5 – 9

• Joint MSRI-BIRS Graduate Summer School - Sums of Squares Method in Geometry, Combinatorics and Optimization, University of British Columbia – Okanagan campus, July 31 – Aug. 13

• Ottawa Mathematics Conference (OMC), Online – hosted by the University of Ottawa, July 20 – 23,
  Counterexamples to a generalized symmetry conjecture

• Canadian Undergraduate Mathematics Conference (CUMC), Université Laval, July 13 – 17,
  Counterexamples to a generalized symmetry conjecture

• CMS Summer Meeting 2022 (Harmonic Analysis and PDEs session), St. John's, June 3 – 6,
  Unwinding of analytic functions in RKHS and Hardy spaces

• ISM Graduate Student Conference, Université Laval, May 27 – 29,
  Contre-exemples à une conjecture de symétrie généralisée

• Focus Program on Data Science, Approximation Theory, and Harmonic Analysis, Fields Institute, May 9 – 13

• Joint Mathematics Meetings (AMS Special Session on Early Career Number Theory Research with Combinatorics, Modular Forms, and Basic Hypergeometric Series), Online, April 6 – 9
  MacMahon Partition Analysis: a discrete approach to broken stick problems

2021 

• CMS Winter Meeting 2021, Online, Dec. 2-7

• Canadian Undergraduate Mathematics Conference (CUMC), Online – hosted by Western University, Aug. 19 – 22,
  Plank theorems and their applications

• FUSRP Alumni Research Session, Online – hosted by the Fields Institute, July 23,
  Repetitions of multinomial coefficients and a generalization of Singmaster’s conjecture

• Focus Program on Analytic Function Spaces and their Applications, Online – hosted by the Fields Institute, July 1 – Dec. 31  

• CMS 75th +1 Anniversary Summer Meeting 2021 (Recent Advances in Complex and Harmonic Analysis session), Online, June 7 – 11
  Nonlinear Oscillatory Expansions of Analytic Functions

• ISM Graduate Student Conference, Online – hosted by Concordia University, May 22 – 23,
  Séries entières aléatoires

• Seminars on Undergraduate Mathematics in Montreal (SUMM), Online, Jan. 9 – 10
  Une introduction à la théorie des nombres probabiliste

2020 

• CMS Winter Meeting 2020 (StudC Research Session), Online, Dec. 3 – 8,
  MacMahon's Partition Analysis Applied

• CMS Winter Meeting 2020 (Recent Advances in Harmonic and Complex Analysis session), Online, Dec. 3 – 8,
  Nonlinear Oscillatory Expansions of Holomorphic Functions

• Québec-Maine Number Theory Conference, Online – hosted by Université Laval, Sept. 26 – 27,
  Limiting distributions of sums of random multiplicative functions over function fields (joint with Chenghui Zheng)

• Canadian Undergraduate Mathematics Conference (CUMC), Online – hosted by Western University, Aug. 20 – 23,
  A New Approach to Solve Broken Stick Problems

• Young Mathematician’s Conference (YMC), Online – hosted by Ohio State University, Aug. 14 – 16,
  A New Approach to Solve Broken Stick Problems

• Connecticut Summer School in Number Theory, Online – hosted by the University of Connecticut, June 8 – 12

• Seminars on Undergraduate Mathematics in Montreal (SUMM), Université du Québec à Montréal, Jan. 10 – 12,
  Une conjecture sur la répétition des coefficients multinomiaux

2019  

• Maine-Québec Number Theory Conference, University of Maine, Oct. 5 – 6,
  Bounds for the counting function of the Jordan-Pólya numbers

• Canadian Undergraduate Mathematics Conference (CUMC), Queen's University, July 24 – 27,
  A Generalization of Singmaster’s Conjecture