I received my Bachelor degree in 2008 from Fudan University in Shanghai, China.
I started my Ph.D. study in 2008 in the Department of Mathematics of University of Washington, under the supervision of Zhen-Qing Chen.
I received my Ph.D. degree in June 2014. I have been being a Research Assistant Professor at University of Illinois at Chicago since August, 2014 and my mentor is Cheng Ouyang.
The followings are my CV and Research Statement.
Broadly speaking: Probability
- Potential theory for Markov processes and Dirichlet form theory;
- Rough paths for Gaussian processes and SDE driven by fBM;
- Random walks and discrete probability.
- Stochastic analysis and its application in financial mathematics;
- Stochastic differential geometry.
Publications and preprints
S. Lou, Brownian motion with drift on spaces with varying dimension, preprint.
S. Lou, On-diagonal heat kernel lower bound for strongly local symmetric Dirichlet forms, submitted to Osaka J. Math.
Z.-Q. Chen, S. Lou, Brownian motion on spaces with varying dimension, submitted to Ann. Probab.
S. Lou, C. Ouyang, Local times of stochastic differential equations driven by fractional Brownian motions, accepted (with minor revision) by Stoch. Process Their Appl.
S. Lou, C. Ouyang, Fractal dimensions of rough differential equations driven by fractional Brownian motions, Stoch. Process Their Appl., 126 (2016), No. 8, 2410--2429.
Probability Seminar (July 2016) Fudan University, Shanghai, China.
Analysis Seminar (April 2016) University of Illinois at Chicago, USA.
Probability Seminar (April 2015) University of Illinois at Urbanan-Champaign, USA.
Probability Seminar (April 2015) Purdue University, USA.
Probability Seminar (January 2015) University of Chicago, USA.
Probability Seminar (January 2014), University of Illinois at Chicago, USA.
Probability Seminar (November 2011), University of Washington, Seattle, USA.
Probability Seminar (August 2011), University of Melbourne, Melbourne, Australia.
Seminar on Stochastic Process (March 2016), University of Maryland, College Park, USA.
Workshop on Dirichlet Form Theory and its Applications (October 2014), Mathematisches Forschungsinstitut Oberwolfach, Germany.
Seminar on Stochastic Process (March 2014), University of California, San Diego, USA.
Seminar on Stochastic Process (March 2013), Duke University, USA.
PIMS Summer School on Probability (June 2012), University of British Columbia, Canada.
Seminar on Stochastic Process (March 2012), Kansas Univeristy, USA.
PIMS Summer School on Probability (July 2010), University of Washington, USA.
Stat 501, Probability Theory I, Fall 2016.
Stat 502, Probability Theory II, Spring 2016.
Stat 401, Introduction to Probability, Fall 2016, Fall 2015, Spring 2015, Fall 2014.
Math 120B, Pre-Calculus, Spring 2014.
Math 307, Introduction to Differential Equations, Winter 2014, Autumn 2013, Spring 2013, Autumn 2012, Winter 2012, Autumn 2010.
Last modified in October 2016