Janosch Ortmann

 Janosch Ortmann

Janosch Ortmann

  • Courses3
  • Reviews3

Biography

University of Toronto St. George Campus - Mathematics


Resume

  • 2008

    French

    English

    German

    Italian

    Doctor of Philosophy (PhD)

    Mathematics

    Warwick University

  • 2004

    MMath

    Mathematics

  • Canadian Team Handball Federation (CTHF/FCHO)

    Montreal chapter Data Lead

    Data for Good

    Algorithms

    Mathematica

    Statistics

    Stochastic Modeling

    Probability

    Teaching

    LaTeX

    Data Science

    University Teaching

    Data Analysis

    Pattern Recognition

    Bayesian statistics

    Project Management

    Mathematics

    Scientific Writing

    Research

    Artificial Intelligence (AI)

    Theory

    Machine Learning

    Probability Theory

    Product-form invariant measures for Brownian motion with drift satisfying a skew-symmetry type condition

    Neil O'Connell

    ALEA 11 (2014)

    307 - 329

    Product-form invariant measures for Brownian motion with drift satisfying a skew-symmetry type condition

    Electron. J. Probab. 17 (2012) no. 34

    1-25\nISSN: 1083-6489

    DOI: 10.1214/EJP.v17-2007

    Large deviations for non-crossing partitions

    Daniel Remenik

    Jeremy Quastel

    We obtain exact formulas for moments and generating functions of the height function of the asymmetric simple exclusion process at one spatial point

    starting from special initial data in which every positive even site is initially occupied.

    Exact formulas for random growth with half-flat initial data

    (with Nicos Georgiou)\nWe study the sequence alignment problem and its independent version

    the discrete Hammersley process with an exploration penalty. We obtain rigorous upper bounds for the number of optimality regions in both models near the soft edge. At zero penalty the independent model becomes an exactly solvable model and we identify cases for which the law of the last passage time converges to a Tracy-Widom law.

    Optimality Regions and Fluctuations for Bernoulli Last Passage Models

    (with John Harnad)\n\nWe study semiclassical and zero temperature asymptotics of quantum weighted double Hurwitz numbers.

    Asymptotics of quantum weighted Hurwitz numbers

    Neil O'Connell

    Electron. J. Probab. 20 (2015)

    no. 25

    Tracy-Widom asymptotics for a random polymer model with gamma-distributed weights

    Bálint Virág

    Duncan Duvergne

    The conjectured limit of last passage percolation is a scale-invariant

    independent

    stationary increment process with respect to metric composition. We prove this for Brownian last passage percolation. We construct the Airy sheet and characterize it in terms of the Airy line ensemble. We also show that the last passage geodesics converge to random functions with Hölder-2/3− continuous paths. This work completes the construction of the central object in the Kardar-Parisi-Zhang universality class

    the directed landscape.

    The directed landscape

    Functionals of the Brownian bridge

    Daniel Remenik

    Jeremy Quastel

    We obtain a Fredholm Pfaffian formula for an appropriate generating function of the height function of the asymmetric simple exclusion process starting from flat (periodic) initial data. Formal asymptotics lead to the GOE Tracy‐Widom distribution.

    A Pfaffian Representation for flat ASEP

    Janosch

    Ortmann

    University of Warwick

    Concordia University

    Centre de recherches mathématiques (CRM)

    University of Toronto

    École des sciences de la gestion (ESG UQAM)

    Montreal

    Canada Area

    Horizon Postdoctoral Fellow

    Concordia University

    University of Toronto

    Teaching Assistant

    Taught undergraduate exercise classes for various courses (all undergraduate levels) and gave small-group (4-5 students) supervisions (tutorials) to first and second year undergraduates

    University of Warwick

    Early Career Fellow

    Fellowship from the Institute for Advanced Study (IAS) at Warwick

    University of Warwick

    PhD student

    Probability theory: random matrix theory

    interacting particle systems

    University of Warwick

    Centre de recherches mathématiques (CRM)

    Montreal

    Canada Area

    Postdoctoral Fellow

    Montreal

    Canada Area

    Research focus: probabilistic and machine learning methods to support the decision making process

    Assistant Professor

    École des sciences de la gestion (ESG UQAM)

MACF 491

4.5(1)

MAT 135

2.5(1)