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

 C.L.E. Moore Instructor of Mathematics, Massachusetts Institute of Technology, 09/199707/2000
 Postdoctoral member , Institute for Mathematics and its Applications, University of Minnesota, 19961997

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
PostDoctoral Appointments
 C.L.E. Moore Instructor of Mathematics, Department of Mathematics, Massachusetts Institute of Technology, 09/1997 – 07/2000
 Postdoctoral member , Institute for Mathematics and its Applications, University of Minnesota, 19961997
Visiting and Temporary Appointments
 Visitng Scholar, Institut MittagLeffler, The Royal Swedish Academy of Sciences, 08/30/200712/15/2007
 Visiting Professor , Division of Applied Mathematics, Brown University, 02/01/200704/30/2007
 Visiting Scholar , Center for Mathematical Sciences, University of Wisconsin, 07/199908/1999

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.

Contracts and Grants Awarded
 Stochastic Partial Differential Equations: Theory and Applications, (NSF), Sergey Lototsky, $180,000, 07/01/2008 – 06/30/2012
 CAREER: Stochastic Partial Differential Equations and Applications, (NSF), Sergey Lototsky, $400,000, 07/01/2003 – 06/30/2008
 Sloan Research Fellowship, (Alfred P. Sloan Foundation), Sergey Lototsky, $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, $61,000, 07/01/1999 – 02/28/2002

Conference Presentations
 Secondorder stochastic evolution equations with constant coefficients , IMA WorkshopTalk/Oral Presentation, Invited, Minneapolis, MN, 10/23/2012
 Parameter estimation in secondorder continuous time linear autoregressions , ICERM WorkshopTalk/Oral Presentation, Invited, Providence, RI, 10/10/2012
 Malliavin Calculus and SPDEs in Higher Order Chaos Spaces , SIAMUQ 2012, MS69Talk/Oral Presentation, Invited, Raleigh, NC, 04/05/2012
 Optimal Linear Filtering of Stochastic Partial Differential Equations , AMS Meeting No. 1071, special session on SPDEsTalk/Oral Presentation, Invited, University of Nevada, Las Vegas, 04/30/2011
 Meanpreserving stochastic renormalization of differential equations , Workshop on Stochastic Multiscale MethodsTalk/Oral Presentation, Invited, BIRS, Banff, Canada, 03/29/2011
 Parameter Estimation in Stochastic Equations That Are SecondOrder In Time , SIAM Annual Meeting, MS 72Talk/Oral Presentation, Invited, Pittsburgh, 07/14/2010
 A Stochastic Burgers Equation: Brinning Together Chaos Expansion, Embedding Theorems, and Catalan Numbers , Workshop on Stochastic Partial Differential EquationsLecture/Seminar, Invited, Isaac Newton Institute for Mathematical Sciences, Cambridge, UK, 01/2010
 Parameter Estimation In Stochastic Equations That Are SecondOrder In Time , Southern California Probability SymposiumLecture/Seminar, Invited, UCI, 12/05/2009
 A Stochastic Burgers Equation: Brinning Together Chaos Expansion, Embedding Theorems, and Catalan Numbers , AMS Meeting No. 1051Talk/Oral Presentation, Invited, Baylor University, Waco, TX, 10/17/2009
 A Stochastic Burgers Equation: Brinning Together Chaos Expansion, Embedding Theorems, and Catalan Numbers , Workshop on Stochastic Multiscale MethodsLecture/Seminar, Invited, USC, 08/10/2009
 Identification of Linear Stochastic Systems that are Second Order in Time , International Conference on Random Dynamical SystemsLecture/Seminar, Invited, Chern Institute of Mathematics, Tianjin, China, 06/11/2009
 Parameter Estimation in Stochastic Hyperbolic Equations , SAPS VIITalk/Oral Presentation, Invited, University du Maine, 03/16/2009
 Nontraditional Stochastic Partial Differential Equations , SIAM Annual Meeting – MS97Talk/Oral Presentation, SIAM, Invited, San Diego. CA, 07/11/2008
 A Random Change of Variables and Applications to the Stochastic Porous Medium Equation with Multiplicative Time Noise , Stochastic Partial Differential Equations and ApplicationsTalk/Oral Presentation, CIRM – International Center for Mathematics Resear, Invited, Levico Terme, Italy, 01/09/2008
 Parameter Estimation in Diagonalizable Bilinear Stochastic Parabolic Equations , Workshop on Applications of SPDEsTalk/Oral Presentation, Royal Academy, Invited, MittagLefler Institute, Sweden, 11/22/2007
 Stochastic Parabolic Equations of Full Second Order , SPDE WorkshopTalk/Oral Presentation, Royal Academy, Invited, MittagLefler Institute, Sweden, 09/10/2007
 LDP for SPDEs: a martingale approach , Large Deviations ConferenceTalk/Oral Presentation, Invited, University of Michigan, 06/08/2007
 Estimating coefficients in stochastic parabolic equations , SPDE meetingTalk/Oral Presentation, Invited, Cornell University, 04/22/2007
 Parameter estimation in stochastic partial differential equations , Asymptotic statistics of stochastic processesTalk/Oral Presentation, Invited, University of Le Mans, France, 03/21/2007
 Stochastic integration with respect to Gaussian processes and fields , SPDE WorkshopTalk/Oral Presentation, Invited, Brown University, 10/21/2006
Other Presentations
 Parameter Estimation in SecondOrder Continuous Time Linear Autoregressions, Probability Seminar, Raleigh, NC, 20112012
 Parameter Estimation in SecondOrder Continuous Time Linear Autoregressions, Probability and Statistics Seminar, Los Angeles, 20112012
 Wick Product in the Stochastic Burgers Equation: A Curse or a Cure?, Probability Seminar, Providence, RI, 20102011
 Meanpreserving renormalization of differential equations, Probability and Statistics Seminar, Los Angeles, CA, 20102011
 Wick Product in The Stochastic Burgers Equation: A Curse or a Cure?, Probability Seminar, Baton Rouge, 20102011
 Parameter Estimation in Stochastic Equations That are SecondOrder in Time, Probability Seminar , Providence, RI, 20092010
 A Random Change of Variables and Applications to the Stochastic Porous Medium Equation with Multiplicative Time Noise, Special Seminar, Wuhan, China, 20082009
 A Random Change of Variables and Applications to the Stochastic Porous Medium Equation with Multiplicative Time Noise, Applied Mathematics Colloquium, Chicago, IL, 20082009
 From Abstract Stochastic Integration to Concrete Stochastic Differential Equations , Stochastics Seminar, GA Tech, Atlanta, GA, 20072008
 A Cahnge of Variables in Stochastic Partial Differential Equations, Graduate Colloquim, USC, 20072008
 Stochastic Integration With Respect to Gaussian Processes and Fields, Probability and Stochastic Processes Seminar, Haifa, Israel, 20072008
 Stochastic Integration With Respect to Gaussian Processes and Fields, Financial Mathematics Seminar, Uppsala University, Sweden, 20072008
 Stochastic Integration With Respect to Gaussian Processes and Fields, MittagLefler Seminar, Djursholm, Sweden, 20072008
 Stochastic parabolic equations of full second order, Joint Applied Mathematics/Probability seminar, Detroit, MI, 20062007
 Parameter Estimation for SPDEs, Seminar, Woburn, MA, 20062007
 Parameter Estimation for SPDEs, Probability Seminar, Paris, France, 20062007
 Stochastic integration with respect to Gaussian processes and fields, Stochastic Systems Seminar, Providence, RI, 20062007
 Stochastic integration with respect to Gaussian processes and fields, Probability Seminar, Detroit, MI, 20062007
 `Parameter estimation in stochastic partial differential equations, Optimization Seminar, Denver, CO, 20062007
 Parameter estimation in stochastic partial differential equations, Probability Seminar, Palo Alto, CA, 20062007

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/02631543332129236
Book Chapters
 Lototsky, S. V. (2011). Chaos Approach to Nonlinear Filtering. The Oxford Handbook of Nonlinear Filtering pp. 231264. Oxford University Press.
 Lototsky, S. V., Rozovskii, B. L. (2007). Stochastic Parabolic Equations of Full Second Order. (Vol. 145) pp. 199210. Minneapolis, MN: IMA.
 Lototsky, S. V., Rozovskii, B. L. (2006). Stochastic Differential Equations: A Wiener Chaos Approach. pp. 433507. Springer.
 Lototsky, S. V. (2004). Optimal Filtering of Stochastic Parabolic Equations. pp. 330353. World Scientific.
Journal Article
 Lin, N., Lototsky, S. V. (2014). Secondorder continuoustime nonstationary Gaussian autoregression. Statistical Inference for Stochastic Processes. Vol. 17 (1)
 Lototsky, S. V., Zhong, J. (2013). Stochastic Evolution Systems With Constant Coefficients. Stochastic Partial Differential Equations: Analysis and Computations. Vol. 1 (4), pp. 687711.
 Lototsky, S. V., Rozovskii, B. L., Selesi, D. (2012). On generalized Malliavin calculus. Stochastic Processes and their Applications. Vol. 122 (3), pp. 808843.
 Kaligotla, S., Lototsky, S. V. (2011). Wick Product in The Stochastic Burgers Equation: A Curse or a Cure?. Asymptotic Analysis. Vol. 75 (34), pp. 145168.
 Lin, N., Lototsky, S. V. (2011). Undamped Harmonic Oscillator Driven by Additive Gaussian White Noise: A Statistical Analysis. Communications on Stochastic Analysis. Vol. 5 (1), pp. 233250.
 Liu, W., Lototsky, S. V. (2010). Parameter Estimation in Hyperbolic Multichannel Models. Asymptotic Analysis. Vol. 68 (4), pp. 223248.
 Lototsky, S. V., Rozovskii, B. L., Wan, X. (2010). Elliptic Equations of Higher Stochastic Order. ESAIM: Mathematical Modelling and Numerical Analysis. Vol. 44 (5), pp. 11351153.
 Lototsky, S. V., Rozovskii, B. (2010). A Unified Approach to Stochastic Evolution Equations Using the Skorokhod Integral. Theory of Probability and its Applications. Vol. 54 (2), pp. 189202.
 Lototsky, S. V. (2009). Statistical Inference for Stochastic Parabolic Equations: A Spectral Approach. Publicacions Matematiques. Vol. 53 (1), pp. 3–45.
 Stemmann, K., Lototsky, S. V. (2009). Stochastic Integrals and Evolution Equations with Gaussian Random Fields. Applied Mathematics and Optimization. Vol. 59 (2), pp. 203232.
 Cialenco, I., Lototsky, S. V., Pospisil, J. (2009). Asymptotic Properties of the Maximum Likelihood Estimator for Stochastic Parabolic Equations with Additive Fractional Brownian Motion. Stochastics and Dynamics. Vol. 9 (2), pp. 169185.
 Lototsky, S. V., Rozovskii, B. L. (2009). Stochastic Differential Equations Driven by Purely Spatial Noise. SIAM J Math. Anal. Vol. 41 (4), pp. 12951322.
 Cialenco, I., Lototsky, S. V. (2009). Parameter Estimation in Diagonalizable Bilinear Stochastic Parabolic Equations. Statistical Inference for Stochastic Processes. Vol. 12 (3), pp. 203219.
 Lototsky, S. V., Stemmann, K. (2008). Solving SPDEs Driven by Colored Noise: a Chaos Approach. Quartely of Applied Mathematics. Vol. 66 (3), pp. 499520.
 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. Vol. 1 (3), pp. 343355.
 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)
 Lototsky, S. V. (2006). Wiener Chaos and Nonlinear Filtering. No Journal Defined. Vol. NA
 Lototsky, S. V., Rozovskii, B. L. (2004). Passive Scalar Equation in a Turbulent Incompressible Gaussian Velocity Field. Russian Mathematical Surveys. Vol. 59 (2), pp. 297312.
 Lototsky, S. V. (2003). Nonlinear Filtering of Diffusion Processes in Correlated Noise: Analysis by Separation of Variables. Applied Mathematics and Optimization. Vol. 47 (2), pp. 167194.
 Lototsky, S. V. (2003). Parameter Estimation for Stochastic Parabolic Equations: Asymptotic Properties of a TwoDimensional Projection Based Estimator. Statistical Inference for Stochastic Processes. Vol. 6 (1), pp. 6587.
 Lototsky, S. V. (2002). Small perturbation of stochastic parabolic equations: a power series analysis. Journal of Functional Analysis. Vol. 193 (1), pp. 94115.
 Lototsky, S. V. (2001). Linear Stochastic Parabolic Equations, Degenerating at the Boundary. Electronic Journal of Probability. Vol. 6 (24), pp. 14.
Other
 Vadim Kaloshin, Sergey Lototsky, Michael, Roeckner (Ed.). (2006). Stochastic Dynamics in Finite and Infinite Dimensions. Discrete and Continuous Dynamical Systems – B.

Office Hours
 MWF : 11am12pm
 MWF : 9:9:30am and 11am12pm
 MWF : 910am
 Monday, Wednesday, Friday : 10:3011:30am
 Monday, Friday : M 810am F 9:3010:30am
Other Advisement or Time Devoted to Students
 Coadvisor of the USC Math Club (Wednesdays, 13pm), Spring 2011
 Coadvisor of the USC undergraduate math club;
training of the USC Putnam
team (Wednesdays, 13pm) , Fall 2010  Advisor of the USC undergradute math club, Spring 2010
 Advisor of the USC undergraduate math club and the coach of the USC Putnam team, Fall 2009
 New mathematics graduate student orientation, 08/20/2009
 Coadvisor of the USC undergraduate math club , Fall 2008
 New mathematics graduate student orientation , 08/21/2008
 New mathematics graduate student orientation, 08/23/2007

Administrative Appointments
 Associate ViceChair for Statistics, 09/2013 – 12/2014
 Associate ViseChair for Applied Mathematics, 09/2005 – 08/2013
Committees
 Member, OCAAA – The Provost Oversight Committee for Athletic Academic Affairs, 09/2013 – 12/2014
 Member, Probability Theory Graduate Exam, 20112012
 Chair, Probability Theory Graduate Exam, 20102011
 Member, Probability Theory Graduate Exam, 2008 – 2009
 Member, Differential Equations Graduate Exam
, 20042005

Conferences Organized
 Principal Organizer, Inverse Problems in Stochastic Differential Equations, USC, 05/22/2007 – 05/26/2007
 Principal Organizer, Random Media and Stochastic Partial Differential Equations, USC, 06/14/2005 – 06/18/2005
Editorships and Editorial Boards
 Associate Editor, Stochastics and Partial Differential Equations: Analysis and Computations, 2013 –
 Associate Editor, SIAM Journal on Mathematical Analysis, 07/2012 –
 Associate Editor, Stochastics and Dynamics, 10/2008 –
 Editorial Board – Member, IMSInterdisciplinary Mathematical Sciences (World Scientific), 05/2008 –
Reviewer for Publications
 Mathematical Reviews, AMS, Regular contributor, 01/2000 –
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