Background
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.
Research Interest
Broadly speaking: Probability
Current focus:
- Potential theory for Markov processes and Dirichlet form theory;
- Rough paths for Gaussian processes and SDE driven by fBM;
- Random walks and discrete probability.
Other interests:
- Stochastic analysis and its application in financial mathematics;
- Stochastic differential geometry.
Publications and preprints
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S. Lou, Brownian motion with drift on spaces with varying dimension, preprint.
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S. Lou, On-diagonal heat kernel lower bound for strongly local symmetric Dirichlet forms, submitted to Osaka J. Math.
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Z.-Q. Chen, S. Lou, Brownian motion on spaces with varying dimension, submitted to Ann. Probab.
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S. Lou, C. Ouyang, Local times of stochastic differential equations driven by fractional Brownian motions, accepted (with minor revision) by Stoch. Process Their Appl.
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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.
Invited Talks
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Probability Seminar (July 2016) Fudan University, Shanghai, China.
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Analysis Seminar (April 2016) University of Illinois at Chicago, USA.
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Probability Seminar (April 2015) University of Illinois at Urbanan-Champaign, USA.
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Probability Seminar (April 2015) Purdue University, USA.
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Probability Seminar (January 2015) University of Chicago, USA.
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Probability Seminar (January 2014), University of Illinois at Chicago, USA.
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Probability Seminar (November 2011), University of Washington, Seattle, USA.
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Probability Seminar (August 2011), University of Melbourne, Melbourne, Australia.
Conference Talks
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Seminar on Stochastic Process (March 2016), University of Maryland, College Park, USA.
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Workshop on Dirichlet Form Theory and its Applications (October 2014), Mathematisches Forschungsinstitut Oberwolfach, Germany.
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Seminar on Stochastic Process (March 2014), University of California, San Diego, USA.
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Seminar on Stochastic Process (March 2013), Duke University, USA.
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PIMS Summer School on Probability (June 2012), University of British Columbia, Canada.
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Seminar on Stochastic Process (March 2012), Kansas Univeristy, USA.
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PIMS Summer School on Probability (July 2010), University of Washington, USA.
Teaching
At UIC:
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.
At UW:
Math 120B, Pre-Calculus, Spring 2014.
Math 307, Introduction to Differential Equations, Winter 2014, Autumn 2013, Spring 2013, Autumn 2012, Winter 2012, Autumn 2010.
Links
Last modified in October 2016