Chuntian Wang



        I am currently a Hedrick Assistant Professor in the Department of Mathematics, University of California, Los Angeles. My mentor is Prof. Andrea Bertozzi. I was a Postdoctoral Fellow and residence in Mathematical Sciences Research Institute in Fall 2015, under the mentoring of Professor Andrea Montanari, and completed a doctorate from Department of Mathematics, Indiana University Bloomington in May 2015, under the supervision of Professors Roger Temam and Nathan Glatt-Holtz.
   

Contact Information

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        Address:             Department of Mathematics, 520 Portola  Plaza,
                                    MS 7354, Los Angeles, CA 90095-1555
        Office Phone:     310-825-8525
        Email Address:  cwang(at)math(dot)ucla(dot)edu

        Office Hours:     currently no teaching assignment
                               

Curriculum Vitae


Research Statement


Teaching Statement


Publication List


Research Interests
        Nonlinear partial differential equations and applications. I focused on: 
            1. The deterministic and stochastic Zakharov-Kuznetsov equation. Basic mathematical theories were established for the initial-boundary value problem.
            2. Numerical analysis for stochastic geophysical fluid models. A time discrete approximation was constructed for the stochastic primitive equations of the atmosphere and oceans.

        Mathematical modeling, computation and applied analysis. I am currently working on:
            Stochastic-statistical models of criminal behavior. Statistical agent-based models for residential burglary were improved and analyzed with the application of probability, partial differential equations and stochastic analysis.


Education
        Indiana University Bloomington

                     Ph.D., Applied Mathematics,  2009--2015
            Thesis Advisers:  Roger Temam & Nathan Glatt-Holtz

            Thesis Title: “Deterministic and stochastic nonlinear partial differential equations: theory and approximation”

       Sichuan University, China
                     M.S., Applied Mathematics, 2008–2009
            B.S., Applied Mathematics and Actuary, 2004-2008 
            Thesis Advisor: Tian Ma
            Thesis Title: “Bifurcation of the Euler-Bernoulli Pole

Appointments
 
       University of California, Los Angeles
           Hedrick Assistant Professor, 2015--2018
           Postdoctoral Mentor:  Andrea Bertozzi

        Mathematical Science Research Institute,  University of California,  Berkeley
           Postdoctoral Fellow, Aug. 2015--Dec. 2015
           P
ostdoctoral Mentor: Andrea Montanari

 
        

Articles Published
     1.  N. Glatt-Holtz, R. Temam and C. Wang, Time discrete approximation of weak solutions for stochastic equations of geophysical fluid dynamics and application”, Chin. Ann. Math. Ser. B 38 (2017), no.2,  425--472.

     2.  N. Glatt-Holtz, R. Temam and C. Wang, Martingale and pathwise solutions to the stochastic Zakharov-Kuznetsov equation with multiplicative noise", Discrete Contin.  Dyn. Syst. Ser. B., 19 (2014), no. 4, 1047--1085.

     3.  C. Wang, The existence of strong solutions to the 3D Zakharov-Kuznetsov equation in a bounded domain”, Discrete Contin. Dyn. Syst. A., 34 (2014),  no. 11, 4897--4910.

      4.  C. Wang, Local existence of strong solutions to the 3D Zakharov-Kuznetsov equation in a bounded domain”, Appl. Math. Optim., 69 (2014), no. 1, 1--19.

     5.  J.-C. Saut, R. Temam and C. Wang,  “An initial and boundary-value problem for the Zakharov-Kuznetsov equation in a bounded domain”,  J. Math. Phys., 53  (2012), no.11, 29 pp.



Papers Ready to Submit or in Preparation

      6. 
C. Pan, B. Li, C. Wang, Y-Q. Zhang, N. Geldner, L. Wang, and A. Bertozzi, ,A statistical model of criminal behavior with truncated Lévy flights (ready  to submit).          
       
      7.  C. Wang, Y. Zhang, A. Bertozzi,
A statistical model of criminal behavior with a Poisson clock (ready to submit).

      8.  N. Glatt-Holtz, R. Temam and C. Wang, Numerical analysis of the stochastic Navier-Stokes equation: stability and converence results (in preparation).


Awards and Honors
     1.  Postdoc Fellowship - New Challenges in PDE: Deterministic Dynamics and Randomness in High and Infinite Dimensional Systems, Mathematical Sciences Research Institute (2015)
 
    
2.  Travel Award - Selected participation internationally to the Heidelberg Laureate Forum (HLF). All fares were covered by the HLF foundation and Oak Ridge Associated Universities (2014)     

     3.  NSF Graduate Student Fellowship, Sponsor: R. Temam (Fall 2014) 

     4.  Joseph and Frances Morgan Swain Fellowship - Indiana University Bloomington(2014)

      5.  College of Arts and Sciences Travel Awards Indiana University Bloomginton (2014)   
       6.  Schober Travel Award - Indiana University Bloomtiong (2014)

         7.  NSF Graduate Student Fellowship, Sponsor: R. Temam (Fall 2013) 

          8.  Schober Travel Award - Indiana University (2013)

      9.  Excellent Undergraudate Dissertation Award (top 5% of seniors) - Sichuan University (2008)


Teaching Experience        

      1.  Courses taught at the undergraduate level

            M171 Stochastic Processes (for the seniors), Spring 2017

            M170B Probability Theory (for the juniors and seniors), Winter 2017

            M170A Probability Theory (for the juniors and seniors), Winter 2017

            M170A Probability Theory (for the juniors and seniors), Fall 2016

            M32B Multivariable Calculus (for the freshmen and sophomores), Spring 2016

            M170A Probability Theory (for the juniors and seniors), Winter 2015

            M025 Precalculus (for the freshmen), Spring 2014

       2.  Courses taught at the graduate level

             M741 Selected Topics in Applied Mathematics, Fall 2013. The course is organized as a seminar with the topic “The 2D Stochastic Navier-Stokes Equations with a Multiplicative Noise”.

       3.   Students Co-mentor

              Nathan Geldner, Bo Li, Chaohao Pan and Yuqi Zhang, “California Research Training Program in  Computational and Applied Mathematics,” University of California, Los Angeles, June-August  2015.  Paper: C. Pan, B. Li, C. Wang, Y-Q. Zhang, N. Geldner, L. Wang, and A. Bertozzi, A statistical model of criminal behavior with truncated Lévy flights, ready to submit.



Conference Organization

       1.   Special Session "Stochastic Modeling in Fluid Dynamics: Theory and Approximation", AIMS Conference on Dynamical Systems, Differential Equations and Applications, Orlando, 2016  

       2.   Mini-symposium "Deterministic and Stochastic Aspects of Fluid Dynamics", AIMS Conference on Analysis of PDEs, Arizona, Dec., 2015       

    

Invited Research Visits

           California Institute of Technology, June, 2017. During the visit, I gave a talk in Caltech/UCLA Joint Analysis Seminar "A hyperbolic model From plasma physics: the deterministic and stochastic Zakharov-Kuznetsov equation".

          Claremont Mckenna College, April, 2017. During the visit, I gave a talk in Applied Math Seminar in  Claremont Center for the Mathematical Sciences, “A hyperbolic model from plasma physics:deterministic and stochasitc Zakharov-Kuznetsov equaiton".

           University of Maryland, Baltimore County, Nov. 2016. During the visit, I gave a talk in the Applied Mathematical Colloquium "A hyperbolic model from plasma physics: the deterministic and stochastic Zakharov-Kuznetsov equation"

         University of Virginia, March, 2015. During the visit, I gave the talk “Numerical analysis of the stochastic Navier-Stokes equations”.

                 Virginia Polytechnic Institute and State University, Aug., 2013. I gave the talk “A hyperbolic model from plasma physics: the Zakharov-Kuznetsov equation”.

            —, Nov., 2014.

            —, Mar., 2015. I gave the talk “Numerical analysis of the stochastic Navier-Stokes equations”.

 

Invited Presentations at Conferences  

         A partially hyperbolic model for plasma physics: Zakharov-Kuznetsov Equation, Southern California Applied Mathematics Symposium, University of California, Irvine, June 2017

      Crime modeling with truncated Levy flights and effects of police patrol, MURI Review Meeting, University of Southern California, Institute for Creative Technologies, September  2016        

         Time discrete approximation of weak solutions for stochastic equations of geophysical fluid dynamics and applications, Southern California Applied Mathematics Symposium, Claremont Graduate University, June 2016

         Time discrete approximation of weak solutions for stochastic equations of geophysical fluid dynamics and applications, the AMS sectional meeting, University of Utah, April 2016

      Time discrete approximation of weak solutions for stochastic equations of geophysical fluid dynamics and applications, SIAM Conference on Analysis of PDEs, Arizona, Dec. 2015

         Numerical analysis of the stochastic Navier-Stokes equations, the AMS sectional meting, University of Nevada, April 2015

          Numerical analysis of the stochastic Navier-Stokes equations, PDE/Applied Math Seminar, Indiana University Bloomington, Feb. 2015

          Time discrete approximation of weak solutions for stochastic equations of geophysical fluid dynamics and applications, at IPAM Long Program: Mathematics of Turbulence, Institute for Pure and Applied Mathematics, Oct. 2014

       Martingale and pathwise solutions to the stochastic Zakharov-Kuznetsov equation with multiplicative noise, at NSF-CBMS Regional Research Conference in the Mathematical Sciences, Oklahoma State University, July 2014,

         Martingale and pathwise solutions to the stochastic Zakharov-Kuznetsov equation with multiplicative noise, the AMS sectional meeting, University of New Mexico, Apr. 2014

         Global existence of strong solutions to 3D Zakharov-Kuznetsov equation in a bounded domain, also invited to chair the Partial Di fferential Equations session at the Joint Mathematics Meetings, Baltimore, Jan. 2014

         Some recent results of the 3D Zakharov-Kuznetsov equation in a bounded domain, PDE Workshop, the University of Maryland, Jan. 2014,

          Some recent results of the 3D Zakharov-Kuznetsov equation in a bounded domain, at the AMS sectional meeting, University of California, Riverside,  Nov. 2013

          Some recent results of the 3D Zakharov-Kuznetsov equation in a bounded domain, the AMS sectional meeting, University of Louisville, Oct. 2013

          An initial and boundary-value problem for the Zakharov-Kuznetsov equation in a bounded domain, the AMS sectional meeting, University of Arizona, Oct. 2012




Conferences and Workshops

       "Turbulent Dissipation, Mixing and Predictability," University of California, Riverside, Jan., 2017.

       "Interdisciplinary Workshop on Multi-scale Modeling of Complex Systems in Development & Plant Biology," University of California, Riverside, Dec. 15, 2016.

       "Predictive Policing," ICERM, Brown University, Aug., 2016. I presented "Comparing Commuting and Crime Networks" as part of a group project
      
       "Analysis & Computation in Kinetic Theory," Stanford University, Nov., 2015

       "Shanks Workshop on Mathematical Aspects of Fluid Dynamics," Vanderbilt University, Feb. 2015

       "Heidelberg Laureate Forum (HLF)," Heidelberg, Germany, Sept. 2014, total expense supported by the HLF foundation and ORAU (19 people for all of Math and Computer Science for all the US and 200 internationally)

       "IPAM Workshop: Mathematical Analysis of Turbulence," Institute for Pure and Applied Mathematics, Oct. 2014

       "MSRI Summer Graduate School: Stochastic Partial Di erential Equations," Mathematical Sciences Research Institute, July 2014 (selected for participation nationally)

       "IMA Workshop: Theory and Applications of Stochastic PDEs," Institute for Mathematics and its Applications, Jan. 2013

       "AIM Workshop: Stochastic in Geophysical Fluid Dynamics," The American Institute of Mathematics, Feb. 2013

       "The 9th AIMS Conference on Dynamical Systems, Di erential Equations and Applications," Orlando, Florida, July 2012

       "Interdisciplinary Session on Deterministic and Stochastic Partial Di erential Equations," the AMS sectional meeting, University of Notre Dame, Nov. 2010