Benjamin Landon's homepage

Benjamin Landon

Research interests: Probability and mathematical physics, especially random matrix theory

Contact Info

	Office	6264 Bahen Centre
	Email	b.landon@utoronto.ca (undergraduate teaching)
		blandon@math.toronto.edu (everything else)

Biographical sketch

	2021-present	Assistant Professor, University of Toronto, Department of Mathematics
	2018-2021	CLE Moore Instructor, Massachusetts Institute of Technology
	2018	PhD in Mathematics, Harvard University. Advisor: Horng-Tzer Yau
	2013	M.Sc. in Mathematics, McGill University. Advisors: Vojkan Jaksic and Robert Seiringer
	2012	B.Sc., McGill University

Papers and preprints

Some estimates for generalized Wigner matrix linear spectral statistics preprint, (2024).
Maximum of the characteristic polynomial of iid matrices (with G. Cipolloni) Communications in Pure and Applied Mathematics, (2025).
Tail estimates for the stationary stochastic six vertex model and ASEP (with P. Sosoe) Submitted, (2023).
Tail bounds for the O'Connell-Yor polymer (with P. Sosoe) Electronic Journal in Probability, 1-47 (2024).
Upper tail bounds for stationary KPZ models (with P. Sosoe) Communications in Mathematical Physics, 401 (2), 1311-1335 (2023).
Almost-optimal bulk regularity conditions in the CLT for Wigner matrices (with P. Sosoe) Preprint, (2022).
Local law and rigidity for unitary Brownian motion (with A. Adhikari) Probability Theory and Related Fields, 187, 753-815 (2023).
Single eigenvalue fluctuations of general Wigner-type matrices (with P. Lopatto and P. Sosoe) Probability Theory and Related Fields, 188, 1-62 (2024).
KPZ-type fluctuation exponents for interacting diffusions in equilibrium (with C. Noack and P. Sosoe) Annals of Probability, 51 (3), 1138-1191 (2023).
Free energy fluctuations of the 2-spin spherical SK model at critical temperature Journal of Mathematical Physics, 63 (3) (2022).
Edge scaling limit of Dyson Brownian motion at equilibrium for general β ≥ 1 Submitted, (2020).
Fluctuations of the 2-spin spherical SK model with magnetic field (with P. Sosoe) Submitted, (2020).
Fluctuations of the overlap at low temperature in the 2-spin spherical SK model (with P. Sosoe) Annales de l'Institut H. Poincare, Probabilites et Statistiques, 58, (3), 1426-1459 (2022)
Comparison theorem for some extremal eigenvalue statistics (with P. Lopatto and J. Marcinek) Annals of Probability, 48 (6), 2894-2919 (2020).
Transition from Tracy-Widom to Gaussian fluctuations of extremal eigenvalues of sparse Erdos-Renyi graphs (with J. Huang and H.-T. Yau) Annals of Probability, 48, 916-962 (2020).
Edge statistics of Dyson Brownian motion (with H.-T. Yau) Electronic Journal of Probability, 175, to appear (2020).
Applications of mesoscopic CLTs in random matrix theory (with P. Sosoe) Annals of Applied Probability, 30 (6), 2769-2795 (2020).
Local spectral statistics of the addition of random matrices (with Z. Che) Probability Theory and Related Fields, 175, 579-654 (2019).
Rigidity and a mesoscopic central limit theorem for Dyson Brownian motion for general β and potential (with J. Huang) Probability Theory and Related Fields , 175, 209-253 (2019).
Fixed energy universality of Dyson Brownian motion (with P. Sosoe and H.-T. Yau) Advances in Mathematics, 346, 1137-1332 (2019).
Spectral statistics of sparse Erdos-Renyi graph Laplacians (with J. Huang) Annales de l'Institut H. Poincare, Probabilites et Statistiques, 56 (2020).
Bulk universality of sparse random matrices. (with J. Huang and H.-T. Yau) Journal of Mathematical Physics, 56 (2015).
Convergence of local statistics of Dyson Brownian motion (with H.-T. Yau) Communications in Mathematical Physics, 355, 949-1000 (2017).
Reflection probabilities of one-dimensional Schrodinger operators and scattering theory (with J. Panangaden, A. Panati and J. Zwicker) Annales Henri Poincaire, 18 (2017).
Reflectionless CMV matrices and scattering theory (with S. Chu and J. Panangaden) Letters in Mathematical Physics, 105 (4), 463-481 (2015).
A note on reflectionless Jacobi matrices (with V. Jaksic and A. Panati) Communications in Mathematical Physics, 332 (2), 827-838 (2014).
The ground state energy of the multipolaron in the strong coupling limit (with I. Anapolitanos) Letters in Mathematical Physics, 103 (12), 1347-1366 (2013).
Entropic fluctuations in XY chains and reflectionless Jacobi matrices (with V. Jaksic and C.-A. Pillet) Annales Henri Poincaire, 14 (7), 1775-1800 (2013).
The scattering length at positive temperature. (with R. Seiringer) Letters in Mathematical Physics, 100 (3), 187-243 (2012).

Teaching

Winter 2025: MAT334 Complex variables, MAT357 Introduction to Real analysis
Fall 2024: MAT1600 Graduage Probability I
Winter 2024: MAT1128: Random matrix theory, MAT334 Complex Variables
Winter 2023: MAT1601 Graduate Probability II
Fall 2022: MAT334 Complex Variables
Winter 2022: MAT1601 Graduate Probability II
Fall 2021: MAT244 Introduction to Ordinary Differential Equations