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

Office | 6264 Bahen Centre | |

b.landon@utoronto.ca (undergraduate teaching) | ||

blandon@math.toronto.edu (everything else) |

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 |

- Tail bounds for the O'Connell-Yor polymer (with P. Sosoe)
*Submitted*, (2022). - Upper tail bounds for stationary KPZ models (with P. Sosoe)
*Communications in Mathematical Physics*, accepted (2022). - 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)
*Submitted*, (2022). - Single eigenvalue fluctuations of general Wigner-type matrices (with P. Lopatto and P. Sosoe)
*Probablity Theory and Related Fields*, accepted (2022). - KPZ-type fluctuation exponents for interacting diffusions in equilibrium (with C. Noack and P. Sosoe)
*Annals of Probability*, accepted (2022). - 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
*Preprint*, (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).

- 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