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Sergey Lototsky

Professor of Mathematics

Contact Information
Office: DRB 258
Phone: (213)740-2389
E-mail: lototsky@math.usc.edu

LINKS
Faculty Profile on Departmental Website
Personal Website
Course Information
 

Education

M.S. Physics, Moscow Institute of Physics and Technology, Moscow, Russia, 1/1992
Ph.D. Applied Mathematics, University of Southern California, 1/1996
 

Postdoctoral Training

C.L.E. Moore Instructor of Mathematics, Massachusetts Institute of Technology, 09/1997-07/2000  
Post-doctoral member , Institute for Mathematics and its Applications, University of Minnesota, 1996-1997   
 

Academic Appointment, Affiliation, and Employment History

Tenure Track Appointments

Professor of Mathematics, University of Southern California, 12/22/2006-  
Associate Professor of Mathematics, University of Southern California, 05/15/2003-12/22/2006  
Assistant Professor of Mathematics, University of Southern California, 01/01/2000-05/15/2003  
 

Visiting and Temporary Appointments

Visitng Scholar, Institut Mittag-Leffler, The Royal Swedish Academy of Sciences, 08/30/2007-12/15/2007  
Visiting Professor , Division of Applied Mathematics, Brown University, 02/01/2007-04/30/2007  
Visiting Scholar , Center for Mathematical Sciences, University of Wisconsin, 07/1999-08/1999  
 

PostDoctoral Appointments

C.L.E. Moore Instructor of Mathematics, Department of Mathematics, Massachusetts Institute of Technology, 09/1997-07/2000  
Post-doctoral member , Institute for Mathematics and its Applications, University of Minnesota, 1996-1997   
 

Description of Research

Summary Statement of Research Interests

Professor Lotosky studies probability theory, stochastic processes, nonlinear filtering, and stochastic partial differential equations. Most recently he has authored several papers regarding stochastic parabolic equations and nonlinear filtering using Galerkin Approximation and Wiener Chaos Decomposition.
 

Funded Research

Contracts and Grants Awarded

CAREER: Stochastic Partial Differential Equations and Applications (NSF), Sergey Lototsky, None, $400,001, 07/01/2003-06/30/2008  
Sloan Research Fellowship (Alfred P. Sloan Foundation), Sergey Lototsky, none, $40,000, 09/15/2002-09/15/2006  
Numerical Methods and Statistical Inference for Complex Stochastic Systems (ARO (Army)), Boris Rozovskii, Sergey Lototsky, $15,000, 06/01/2003-06/30/2005  
Boundary Value Problems for Stochastic Parabolic Equations (NSF), Sergey Lototsky, None, $61,000, 07/01/1999-02/28/2002  
 

Conferences and Other Presentations

Conference Presentations

"LDP for SPDEs: a martingale approach", Large Deviations Conference, Talk, University of Michigan, Invited, 06/08/2007  
"Estimating coefficients in stochastic parabolic equations", SPDE meeting, Talk, Cornell University, Invited, 04/22/2007  
"Parameter estimation in stochastic partial differential equations", Asymptotic statistics of stochastic processes, Talk, University of Le Mans, France, Invited, 03/21/2007  
"Stochastic integration with respect to Gaussian processes and fields", SPDE Workshop, Talk, Brown University, Invited, 10/21/2006  
 

Other Presentations

"Stochastic parabolic equations of full second order", Joint Applied Mathematics/Probability seminar, Wayne State University, Detroit, MI, 06/07/2007  
"Parameter Estimation for SPDEs", Seminar, Scientific Systems Company, Inc. , Woburn, MA, 04/17/2007  
"Parameter Estimation for SPDEs", Probability Seminar, University Paris-VI, Paris, France, 03/20/2007  
"Stochastic integration with respect to Gaussian processes and fields", Stochastic Systems Seminar, Brown University, Providence, RI, 03/06/2007  
"Stochastic integration with respect to Gaussian processes and fields", Probability Seminar, Wayne State University, Detroit, MI, 02/28/2007  
"`Parameter estimation in stochastic partial differential equations", Optimization Seminar, Univesity of Colorado, Denver, CO, 01/23/2007  
"Parameter estimation in stochastic partial differential equations", Probability Seminar, Stanford University, Palo Alto, CA, 01/08/2007  
 

Publications

Book

P. H. Baxendale, S. V. Lototsky (Ed.). (2007). Stochastic Differential Equations: Theory and Applications. (Vol. 2, Singapore: World Scientific. PubMed Web Address
Blum, E. K., Lototsky, S. V. (2006). Mathematics of Physics and Engineering. World Scientific. http://www.amazon.co.uk/exec/obidos/ASIN/981256621X/026-3154333-2129236
 

Journal Article

Lototsky, S. V., Stemmann, K. (2007). Solving SPDEs Driven by Colored Noise: a Chaos Approach. Quartely of Applied Mathematics.
Lototsky, S. V. (2007). A Random Change of Variables and Applications to the Stochastic Porous Medium Equation with Multiplicative Time Noise. Communications on Stochastic Analysis.
Lototsky, S. V., Rozovsky, B. L. (2006). Wiener Chaos Solutions of Linear Stochastic Evolution Equations. Annals of Probability. Vol. Vol. 34 (No. 2 - March 2006)
 

Other

Vadim Kaloshin, Sergey Lototsky, Michael, Roeckner (Ed.). (2006). Stochastic Dynamics in Finite and Infinite Dimensions. Discrete and Continuous Dynamical Systems - B.
Lototsky, S. V. (2001). Linear Stochastic Parabolic Equations, Degenerating at the Boundary. Electronic Journal of Probability.
 

Proceedings

Lototsky, S. V., Rozovskii, B. L. (2007). Stochastic Parabolic Equations of Full Second Order. In P-L Chow, B. S. Mordukhovich, G. Yin (Ed.), pp. 199-210. Minneapolis, MN. IMA.
 

Service to the Profession

Conferences Organized

Principal Organizer, Inverse Problems in Stochastic Differential Equations, USC, 05/22/2007-05/26/2007  
 
 

Reviewer for Publication

Mathematical Reviews, AMS, 62 reviews so far; 4 during academic year 2006-2007, 2000-2008  
 
 
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