
Tom Alberts
University of Toronto
Department of Mathematics
I am currently an NSERC Postdoctoral Fellow in the Department of Mathematics at the University of Toronto. My research is generally focused on probability theory, with an emphasis on problems from the Schramm-Loewner Evolution and statistical mechanics.
Prior to being a postdoc I was a grad student at the Courant Institute of Mathematical Sciences at New York University. My thesis advisor was Scott Sheffield.
Contact Information
lastname (at) math (dot) toronto (dot) edu
Office Location
St. George Campus
Room 4143, Earth Sciences Center
Phone: 416-978-4736
Mississauga Campus
Room 4062, South Building
Phone: 905-828-3812
Mailing Address
St. George Campus
University of Toronto
Department of Mathematics
40 St George St Rm 6290
Toronto, ON M5S 2E4
Mississauga Campus
University of Toronto Mississauga
3359 Mississauga Road N.
South Building, Room 4005
Mississauga, ON L5L 1C6
Research
My main focus of research is in probability theory, and within that I mostly study two-dimensional conformally invariant systems. The basic model of these are the Schramm-Loewner Evolution and its variants. I also have interests in statistical mechanics, random walks in random environments, and interacting particle systems.
Publications
Bridge Decomposition of Restriction Measures.
Alberts T. & Duminil-Copin H., arXiv:0909.0203v1 [math.PR]. (2009).The Covariant Measure of SLE on the Boundary.
Alberts T. & Sheffield S., arXiv: 0810.0940 [math.PR]. (2008).Hausdorff Dimension of the SLE Curve Intersected with the Real Line.
Alberts T. & Sheffield S., Electronic Journal of Probability, 40, 1166-1188. (2008). Online JournalIntersection Probabilities for a Chordal SLE Path and a Semicircle..
Alberts T. & Kozdron M., Electronic Communications in Probability. 13, 448-460. (2008). Online JournalA Locally Adaptive Transformation Method of Boundary Correction in Kernel Density Estimation.
Karunamuni R.J. & Alberts T., Journal of Statistical Planning and Inference 136, 2936-2960. (2006). Online JournalA Generalized Reflection Method of Boundary Correction in Kernel Density Estimation.
Karunamuni R.J. & Alberts T., Canadian Journal of Statistics, 33, 497-509. (2005).On Boundary Correction in Kernel Density Estimation.
Karunamuni R.J. & Alberts T., Statistical Methodology, 2, 191-212. (2005). Online JournalA Semiparametric Method of Boundary Correction for Kernel Density Estimation.
Alberts T. & Karunamuni R.J., Statistics and Probability Letters, 61, 287-298. (2003). Online Journal
Slide Presentations
Teaching
University of Toronto
New York University
- Financial Econometrics and Statistical Arbitrage, Fall 2007
- Interest Rate and Credit Models, Summer 2007
- Interest Rate and Credit Models, Spring 2007
- Financial Econometrics and Statistical Arbitrage, Fall 2006
- Calculus II, Summer 2006
- Risk Management, Spring 2006
- Computing in Finance, Fall 2005
- Calculus I, Summer 2005
- Stochastic Calculus, Spring 2005
- Computing in Finance, Fall 2004
- Business Calculus, Summer 2004
- Business Calculus, Spring 2004