University of Utah
Department of Mathematics
Prior to being at Utah, I was the Scott Russell Johnson Senior Postdoctoral Fellow in the Department of Mathematics at Caltech, and an NSERC Postdoctoral Fellow in the Department of Mathematics at the University of Toronto. I completed my graduate studies at the Courant Institute of Mathematical Sciences at New York University. My thesis advisor was Scott Sheffield.
lastname (at) math (dot) utah (dot) edu
Department of Mathematics, University of Utah
155 S 1400 E Room 233
Salt Lake City, UT 84112-0090
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, directed polymer models, last passage percolation, and random matrix theory.
Nested Critical Points for a Directed Polymer on a Disordered Diamond Lattice.
Alberts T. & Clark J., arXiv:1602.06629 [math.PR]. (2016).
Alberts T. & Lee G.-Y. & Simper M., arXiv:1510.04114 [math.PR]. (2015).
The Intermediate Disorder Regime for a Directed Polymer Model on a Hierarchical Lattice.
Alberts T. & Clark J. & Kocic S., arXiv:1508.04791 [math.PR]. (2015).
Intermediate Disorder for 1+1 Dimensional Directed Polymers.
Alberts T. & Khanin K. & Quastel J., Annals of Probability, 42, no. 3, 1212-1256. (2014). Online Journal.
Some Partial Results on the Convergence of Loop-Erased Random Walk to SLE(2) in the Natural Time Parameterization.
Alberts T. & Kozdron M. & Masson R., J. Stat. Phys., 153, no. 1, 119-141. (2013). Online Journal.
The Near-Critical Scaling Window for Directed Polymers on Disordered Trees.
Alberts T. & Ortgiese M., Electronic Journal of Probability, 18, no. 19, 24 pp. (2013). Online Journal.
The Green's function for the radial Schramm-Loewner Evolution.
Alberts T. & Kozdron M. & Lawler G., J. Phys. A, 45, 494015, 17 pp. (2012). Online Journal.
The Intermediate Disorder Regime for Directed Polymers in Dimension 1+1.
Alberts T. & Khanin K. & Quastel J., Physical Review Letters, 105, 090603. (2010). Online Journal.
Hausdorff Dimension of the SLE Curve Intersected with the Real Line.
Alberts T. & Sheffield S., Electronic Journal of Probability, 40, 1166-1188. (2008). Online Journal
Intersection Probabilities for a Chordal SLE Path and a Semicircle..
Alberts T. & Kozdron M., Electronic Communications in Probability. 13, 448-460. (2008). Online Journal
A 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 Journal
A Generalized Reflection Method of Boundary Correction in Kernel Density Estimation.
Karunamuni R.J. & Alberts T., Canadian Journal of Statistics, 33, 497-509. (2005). Online Journal.
On Boundary Correction in Kernel Density Estimation.
Karunamuni R.J. & Alberts T., Statistical Methodology, 2, 191-212. (2005). Online Journal
A Semiparametric Method of Boundary Correction for Kernel Density Estimation.
Alberts T. & Karunamuni R.J., Statistics and Probability Letters, 61, 287-298. (2003). Online Journal
University of Utah
- Introduction to Unitary Group Representations, Winter 2014
- Probability I, Fall 2013
- Statistics, Winter 2013
- Stochastic Analysis, Fall 2012
- Probability II, Winter 2012
- Probability I, Fall 2011
University of Toronto
- Introduction to Stochastic Processes, Spring 2011
- Partial Differential Equations, Fall 2010
- Introduction to Mathematical Finance, Fall 2009
- Introduction to Stochastic Processes, Spring 2009
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