2011 - | Affiliate Professor, Department of Statistics, University of Wisconsin-Madison. |

2005 - | Professor, Department of Mathematics, University of Wisconsin-Madison. |

2001 - 2005 | Associate Professor, Department of Mathematics, University of Wisconsin-Madison. |

1999 - 2001 | Associate Professor, Department of Mathematics, Iowa State University. |

1995 - 1999 | Assistant Professor, Department of Mathematics, Iowa State University. |

1994 - 1995 | Postdoctoral Fellow, Mittag-Leffler Institute, Sweden. |

1993 - 1994 | Postdoctoral Member, Institute for Mathematics and Its Applications, University of Minnesota. |

1991 - 1993 | Instructor, Department of Mathematics, The Ohio State University. |

2000 Prix Institut Henri Poincaré-Gauthier Villars for an article in the journal Annales de l'Institut Henri Poincaré.

2010 Elected Fellow of the Institute of Mathematical Statistics.

2011 Van Vleck Research Prize, University of Wisconsin-Madison Department of Mathematics.

2014 Institute of Mathematical Statistics Medallion Lecturer.

2014 Invited speaker at the International Congress of Mathematicians in Seoul.

2015 Vilas Faculty Mid-Career Investigator Award, University of Wisconsin-Madison.

2015-2016 Simons Fellow in Mathematics.

2016 Named John and Abigail Van Vleck Chair of Mathematics, University of Wisconsin-Madison.

2017 Fellow of the American Mathematical Society, Class of 2018.

2023-2024 Simons Fellow in Mathematics.

Hydrodynamic limits for asymmetric systems. Plenary lecture,
NORDSTAT 2002, * 19th Nordic Conference on
Mathematical Statistics*, Stockholm, Sweden, June 9-13, 2002.

Strong law of large numbers for the
interface in ballistic deposition. Prize ceremony,
* 2000 Prix Institut Henri Poincaré-Gauthier Villars*,
Institut Henri Poincaré, Paris, June 20, 2002.

Limit shapes and fluctuations for some planar stochastic growth
models. Plenary lecture,
* London Mathematical Society Meeting*, Bath, September 11, 2006.

Scaling exponents for 1+1-dimensional directed polymers. Plenary lecture,
* 34th Conference
on Stochastic Processes and their Applications SPA 2010*, Osaka, Japan,
September 6-10, 2010.

KPZ universality for interacting stochastic models. Plenary lecture,
* Finnish Mathematics Days 2012* (biannual meeting of the
Finnish Mathematical Society), Lappeenranta, Finland, January 4-5, 2012.

Directed polymer and percolation models on the plane. IMS Medallion Lecture, * Australian Statistical Conference and IMS Annual Meeting*, Sydney, July 7-10, 2014.

Variational formulas for directed polymer and percolation models. Invited lecture in the Probability and Statistics Section,
* International Congress of Mathematicians*, Seoul, August 13-21, 2014.

KPZ fluctuation exponents for a class of zero-range processes. * Minerva Foundation Lectures*, Columbia University, New York, November 2-13, 2015.

The challenges of random growth models. * Seymour Sherman Memorial Lecture*, Indiana University, Bloomington, April 19, 2019.