**A Random Walk Proof of the Matrix Tree Theorem and Applications to Markov Chains** [.pdf]

February 9, 2017

Brandon University, Brandon, MB

**Investigating the Hitting Distribution of the Unit Circle by Chordal SLE in the Upper Half Plane** [.pdf]

December 5, 2015

Canadian Mathematical Society Winter Meeting 2015

Montreal, QC

**A Random Walk Proof of Kirchhoff's Matrix Tree Theorem** [.pdf]

June 17, 2015

Geometry of Random Walks and SLE: a birthday conference for Greg Lawler

Isaac Newton Institute, Cambridge, UK

**A random look at loop-erased walk and the Schramm-Loewner evolution** [.pdf]

March 2, 2015

Mathematical Institute: Stochastic Analysis Seminar

University of Oxford, Oxford, UK

**Some Partial Results on the Convergence of Loop-Erased Random Walk to SLE(2) in the Natural Parametrization** [.pdf]

August 11, 2014

Recent Progress in Random Conformal Geometry

COEX, Seoul, South Korea

**Partial Results on the Convergence of Loop-Erased Random Walk to SLE(2) in the Natural Parametrization** [.pdf]

July 28, 2014

37th Conference on Stochastic Processes and their Applications

Universidad de Buenos Aires, Buenos Aires, Argentina

**Partial Results on the Convergence of Loop-Erased Random Walk to SLE(2) in the Natural Parametrization** [.pdf]

July 7, 2014

Australian Statistical Conference and 2014 IMS Annual Meeting

Australian Technology Park, Sydney, Australia

**A Random Walk Proof of the Matrix Tree Theorem and Applications to Markov Chains** [.pdf]

June 21, 2014

Combinatorial Applications to Biology, Chemistry and Physics

University of Saskatchewan, Saskatoon, SK

**A Random Walk Proof of the Matrix Tree Theorem** [.pdf]

December 8, 2013

Canadian Mathematical Society Winter 2013 Meeting

Ottawa, ON

**Some remarks on the convergence of loop-erased random walk to SLE(2) in the natural parametrization** [.pdf]

November 7, 2013

Department of Mathematics: Probability Seminar

Michigan State University, East Lansing, MI

**The Green's function for the radial Schramm-Loewner evolution** [.pdf]

April 8, 2013

Conformal Invariance in Continuous and Discrete Systems

Simons Center for Geometry and Physics, Stony Brook, NY

**The Green's function for the radial Schramm-Loewner evolution** [.pdf]

January 8, 2013

Third Conference of Tsinghua Sanya International Mathematics Forum

Sanya, China

**Bayes' rule for quantum random variables and positive operator valued measures** [.pdf]

December 8, 2012

Canadian Mathematical Society Winter 2012 Meeting

Montréal, QC

**The Green's function for the radial Schramm-Loewner evolution** [.pdf]

November 8, 2012

Department of Mathematics: Probability Seminar

University of Wisconsin-Madison, Madison, WI

**Conditional Expectation and Bayes' Rule for Quantum Random Variables and Positive Operator Valued Measures** [.pdf]

August 21, 2012

3rd Conference of the Canadian Prairie Theoretical Physics Network

First Nations University of Canada, Regina, SK

**Using multiple SLE to explain a certain observable in the 2d Ising model** [.pdf]

June 18, 2012

Department of Mathematical Sciences: Probability and Applications Seminar

Queen Mary, University of London, London, UK

**On the convergence of loop-erased random walk to SLE(2) in the natural parametrization** [.pdf]

April 19, 2012

Department of Mathematics: Probability Seminar

University of California, San Diego, La Jolla, CA

**On the convergence of loop-erased random walk to SLE(2) in the natural parametrization** [.pdf]

March 22, 2012

Department of Mathematics: Analysis Seminar

California Institute of Technology, Pasadena, CA

**A Random Look at the Schramm-Loewner Evolution** [.pdf]

November 28, 2011

Department of Mathematics: Discrete Mathematics Seminar

Simon Fraser University, Burnaby, BC

**A Random Look at the Schramm-Loewner Evolution** [.pdf]

April 14, 2011

Mathematical Sciences Institute (MSI) Colloquium

Australian National University, Canberra, Australia

**A Random Look at the Schramm-Loewner Evolution** [.pdf]

April 7, 2011

Computer Assisted Research Mathematics and its Applications (CARMA) Colloquium

University of Newcastle, Newcastle, Australia

**The convergence of loop-erased random walk to SLE(2) in the natural parametrization** [.pdf]

March 1, 2011

Auckland Mini-Workshop in Probability

University of Auckland, Auckland, New Zealand

**The convergence of loop-erased random walk to SLE(2) in the natural parametrization** [.pdf]

November 24, 2010

Department of Mathematics: Probability Seminar

University of British Columbia, Vancouver, BC

**A rate of convergence for loop-erased random walk to SLE(2)** [.pdf]

September 6, 2010

34th Conference on Stochastic Processes and their Applications

Senri Life Science Center, Osaka, Japan

**A rate of convergence for loop-erased random walk to SLE(2)** [.pdf]

May 24, 2010

Conformal maps from probability to physics

Centro Stefano Franscini, Monte Verità, Ascona, Switzerland

**A rate of convergence for loop-erased random walk to SLE(2)** [.pdf]

February 10, 2010

Department of Mathematics: Probability Seminar

University of British Columbia, Vancouver, BC

**Using multiple SLE to explain a certain observable in the 2d Ising model** [.pdf]

October 10, 2009

Statcomb 2009: Workshop on Two-Dimensional Lattice Models

Centre Emile Borel, Institut Henri Poincaré, Paris, France

**Using multiple SLE to explain a certain observable in the 2d Ising model** [.pdf]

May 5, 2009

Department of Mathematics: CUNY Probability Seminar

Graduate Center, City University of New York, New York, NY

**Using multiple SLE to explain a certain observable in the 2d Ising model** [.pdf]

April 28, 2009

Department of Mathematics: Probability Seminar

Massachusetts Institute of Technology, Cambridge, MA

**Using multiple SLE to explain a certain observable in the 2d Ising model** [.pdf]

March 18, 2009

Department of Mathematics: Probability Seminar

University of British Columbia, Vancouver, BC

**The Schramm-Loewner Evolution and Statistical Mechanics** [.pdf]

March 13, 2009

Department of Mathematics & Statistics: Colloquium

University of Saskatchewan, Saskatoon, SK

**Using SLE to explain a certain observable in the 2d Ising model** [.pdf]

December 6, 2008

Canadian Mathematical Society Winter 2008 Meeting

Ottawa, ON

**Multiple SLE Paths and Fomin's Identity** [.pdf]

October 22, 2008

Department of Mathematics: Probability Seminar

University of Chicago, Chicago, IL

**Intersection probabilities for a chordal SLE path and a semicircle** [.pdf]

July 2, 2008

Recent Progress in Two-dimensional Statitical Mechanics

Banff International Research Station, Banff, AB

**Estimates for the diameter of a chordal SLE path** [.pdf]

June 2, 2008

Second Canada France Congress

Université du Québec à Montréal, Montréal, QC

**Convergence of 2D critical percolation to SLE _{6}**

-Slides formatted for letter paper [.pdf]

-Lecture Notes formatted for A4 paper [.pdf]

-Extended Abstract formatted for A4 paper [.pdf]

October 11, 2007

Arbeitsgemeinschaft: Percolation

Mathematisches Forschungsinstitut Oberwolfach, Oberwolfach-Walke, Germany

**An Introduction to Percolation** [.pdf]

September 28, 2007

Department of Mathematics & Statistics: Colloquium

University of Regina, Regina, SK

**The Scaling Limit of Fomin's Identity for Two Paths** [.pdf]

August 6, 2007

32nd Conference on Stochastic Processes and their Applications

University of Illinois at Urbana-Champaign, Urbana, IL

**A Random Look at the Schramm-Loewner Evolution** [.pdf]

May 3, 2007

First Annual Meeting of the Prairie Network for Research in the Mathematical Sciences

University of Regina, Regina, SK

**The configurational measure on mutually avoiding SLE paths** [.pdf]

January 29, 2007

Department of Mathematics: Probability Seminar

University of Rochester, Rochester, NY

**The configurational measure on mutually avoiding SLE paths** [.pdf]

August 23, 2006

International Congress of Mathematicians

Madrid, Spain

**Loop-erased random walk and Fomin's identity** [.pdf]

December 12, 2005

Canadian Mathematical Society Winter 2005 Meeting

Victoria, BC

**An Introduction to the Schramm-Loewner Evolution**

-Abstract [.pdf]

November 18, 2005

Department of Mathematics & Statistics: Colloquium

University of Regina, Regina, SK

**Stirling's Formula: An Application of Calculus**

-Slides [.pdf]

-Notes [.pdf]

November 4, 2005

Department of Mathematics & Statistics: MASS Undergraduate Seminar

University of Regina, Regina, SK

**Loop-erased random walk and Fomin's identity** [.pdf]

September 20, 2005

Percolation, SLE, and Related Topics Workshop

Fields Institute, Toronto, ON

**Excursion Measure in the Plane** [.pdf]

December 8, 2003

Department of Mathematics & Statistics: Colloquium

University of Regina, Regina, SK

**Excursion Measure in the Plane** [.pdf]

December 1, 2003

Department of Mathematics: Probability Seminar

Cornell University, Ithaca, NY

**Stirling's Formula: An Application of Calculus**

-Slides [.pdf]

-Notes [.pdf]

April 14, 2003

Department of Mathematics and Computer Science: Undergraduate Math Club Seminar

Hobart and William Smith Colleges, Geneva, NY

**Green's function estimates with application to loop-erased random walk**

-Notes [.pdf]

February 20, 2003

Department of Mathematics: Probability Graduate Student Seminar

Cornell University, Ithaca, NY

**The Loewner Equation and an Introduction to SLE** [.pdf]

September 17, 2002

Department of Mathematics: Graduate Student Seminar

Cornell University, Ithaca, NY

**An Introduction to the Loewner Equation and SLE** [.pdf]

February 22, 2002

Department of Mathematics: Graduate-Faculty Seminar

Duke University, Durham, NC

**A Gentle Introduction to TeX**

-Notes [.pdf]

February 26, 1999

Department of Mathematics: Graduate-Faculty Seminar

Duke University, Durham, NC

**An Introduction to Random Walks from Pólya to Self-Avoidance** [.pdf]

December 4, 1998

Department of Mathematics: Graduate-Faculty Seminar

Duke University, Durham, NC