Curriculum Vitae Mingji Zhang Contact Information Department of Mathematics Michigan State University 619 Red Cedar Road, East Lansing, MI 48824 Phone: (517)884-1455 Fax: (517)432-1562 Email: mzhang0129@gmail.com Homepage: https://www.math.msu.edu/~mzhang/ Employment Aug. 2013 - Aug. 2015, Visiting Research Associate, Department of Mathematics, Michigan State University, East Lansing, Michigan. 2006 2013, Graduate Teaching/Research Assistant, Department of Mathematics, University of Kansas, Lawrence, Kansas. Education Ph.D. with honors, Applied Mathematics, 2013, University of Kansas, Lawrence, Kansas Advisor: Weishi Liu Thesis Title: Dynamics of Poisson-Nernst-Planck system and its applications to ionic channels. M.A. Mathematics, 2011, University of Kansas, Lawrence, Kansas Advisor: Weishi Liu M.A. College of Science, 2005, Kunming University of Science and Technology, China Advisor: Jibin Li B.S. School of Mathematics and Information, 2003, Yantai Normal University, China Research Interest: Dynamical systems, differential equations and their applications Geometric singular perturbation theory (GSPT) Application of GSPT to Poisson-Nernst-Planck model for ionic flow Multiscale analysis in Dpp signaling pathway Bifurcation theory for planar polynomial vector field Partial differential equations Research Proposal June 2013-August 2013, KU 2013 Summer Research Fellowship Poisson-Nernst-Planck systems for ion flow with density functional theory for local hard-sphere potential ($5, 000) NSF-NIH Research Proposal Multiscale Analysis in developmental biology: Potassium channel function and the Dpp signaling pathway (with Peter Bates, Michigan State University, and Emily Bates, University of Colorado Denver). (Submitted)
Curriculum Vitae Mingji Zhang 2 Teaching Experiences Graduate Teaching Assistant: Department of Mathematics, University of Kansas, 2007-2013 Math 115 & 116 (Calculus I & II for Business students), multiple semesters Math 121 & 122 (Calculus I & II for Engineering and Science students), multiple semesters Math 580 (Abstract Algebra) Grader, one semester Visiting Research Associate: Department of Mathematics, Michigan State University, 2013- present Math 411 (Abstract Algebra II) Math 132 (Calculus for Engineering and Science students) Math 124 ( Calculus for Business students) Professional Service Co-organizer of the special session on "Modeling, numerics and analysis of electrodiffusion phenomena " at AMS Central Spring Sectional Meeting, Michigan State University, East Lansing, Michigan, March 13-15, 2015. Journals refereed Discrete and Continuous Dynamical System - A SIAM Journal on Applied Mathematics Journal of Mathematics and Statistics Honors & Awards NSF travel support to KI-Net summer school Iowa State University, Ames, Iowa, May, 2014. Paul F. Conrad Graduate Scholarship, Department of Mathematics, Univ. of Kansas, 2013. NSF travel support to First International Conference on Dynamics of Differential Equations, Georgia Institute of Technology, Atlanta, 2013. Graduate Scholarly Presentation Travel Fund to 2013 JMM, Research and Graduate Studies, Univ. of Kansas. Graduate Research Assistant supported by NSF grants, summer 2012, Department of Mathematics, Univ. of Kansas. NSF travel support to NW12 conference from both Univ. of Washington and Univ. of Kansas, June 2012 U.G. Mitchell Honor Scholarship, summer 2010 and 2011, Department of Mathematics, Univ. of Kansas. Outstanding thesis for Bachelor s Degree, Yantai Normal University, June, 2003.
Curriculum Vitae Mingji Zhang 3 Publications and Preprints 1. P. Bates, Y. Jia, W. Liu, H. Lu and M. Zhang: Individual flux study via steady-state Poisson-Nernst-Planck systems: Effects from boundary conditions. (To be submitted) 2. P. W. Bates, Y. Liang, W. Liu, H. Lu and M. Zhang: Poisson-Nernst-Planck type models for ionic flow with Bikerman s local hard-sphere potential: Part I. (To be submitted) 3. P. W. Bates, W. Liu, H. Lu and M. Zhang: Effects of ion size and valence on ionic flow via Poisson-Nernst- Planck systems with a local hard sphere potential. (Submitted) 4. Y. Jia, W. Liu and M. Zhang: Poisson-Nernst-Planck systems for ion flow with Bikerman s local hard-sphere potential: Ion size and valence effects. (to be submitted) 5. H. Lu, P. W. Bates, J. Xin and M. Zhang: Asymptotic behavior of stochastic fractional power dissipative equations on R n. ( Submitted) 6. H. Lu, P. W. Bates, S. Lü and M. Zhang: Stochastic Dynamics of the 3D fractional complex Ginzburg- Landau equation with multiplicative noise on an unbounded domain. Communications in Mathematical Sciences (to appear) 7. H. Lu, P. W. Bates, S. Lü and M. Zhang: Dynamics of 3D fractional complex Ginzburg-Landau equation. J. Differential Equations (to appear) 8. S. Ji, W. Liu and M. Zhang: Effects of (small) permanent charges and channel geometry on ionic flows via classical Poisson-Nernst-Planck models. SIAM J. on Appl. Math., 75(1) 114-135 (2015). 9. M. Zhang: Asymptotic expansions and numerical simulations on I-V relations via a Poisson-Nernst-Planck system with zero permanent charge function. Rocky Mountain J. Math. (to appear). 10. G. Lin, W. Liu, Y. Yi and M. Zhang: Poisson-Nernst-Planck systems for ion flow with density functional theory for local hard-sphere potential. SIAM J. on Appl. Dyn. Syst., 12(3) 1613-1648 (2013). 11. W. Liu, X. Tu and M. Zhang: Poisson-Nernst-Planck type models for ionic flow with hard sphere ion species: I-V relations and critical potentials. Part II: Numerics. J. Dynamics and Differential Equations, 24(4): 985-1004 (2012). 12. J. Li, M. Zhang and S. Li: Bifurcations of Limit Cycles in a Z 2 Equivariant Planar Polynomial Vector Field of Degree 7. I. J. Bifurcation and Chaos, 16(4) : 925-943 (2006). 13. M. Zhang and S. Li: Distribution of Limit Cycles in Z 2 -Equivariant Planar Polynomial Vector Field of Degree 7. J. Kunming University of Science and Technology (Science and Technology) 31(6) : 111-113 (2006). 14. D. Kong, H. Guo and M. Zhang: Classification of Z 2 -equivariant planar Hamilton phase portrait. J. Science Information, 4 : 139-140 (2006). Projects Completed 1. G. Lin, W. Liu, Y. Yi and M. Zhang: Poisson-Nernst-Planck type models for ionic flow with local excess chemical potentials: Selectivity of Cations 2. P. W. Bates, H. Lu and M. Zhang: Poisson-Nernst-Planck type models for ionic flow with Bikerman s local hard-sphere potential: Part II.
Curriculum Vitae Mingji Zhang 4 Projects in Process 1. P. W. Bates, W. Liu and M. Zhang: Existence of reversal charge via Poisson-Nernst-Planck models for ionic flow through membrane channels 2. P. Bates, H. Lu and M. Zhang: Poisson-Nernst-Planck systems for ion flow through membrane channels: Temperature effects on I-V relations 3. M. Zhang: Cubic-like features of I-V relations via a classical Poisson-Nernst-Planck system for ionic flow through membrane channels. Part I 4. M. Zhang: Cubic-like features of I-V relations via a classical Poisson-Nernst-Planck system for ionic flow through membrane channels. Part II 5. M. Zhang: Cubic-like features of I-V relations via a Poisson-Nernst-Planck system for ion flow with density functional theory for local hard sphere potential. Part III 6. H. Lu and M. Zhang: Poisson-Nernst-Planck systems for ion flow with Bikerman s local hard-sphere potential: Permanent charge effects on I-V relations. 7. G. Lin, W. Liu, Y. Yi and M. Zhang: Poisson-Nernst-Planck type models for ionic flow with local hard-sphere ion species: Permanent charge effects. 8. W. Liu and M. Zhang: Multiple I-V relations of Poisson-Nernst-Planck type models with nonzero permanent charge function. 9. B. Eisenberg, W. Liu, X. Tu and M. Zhang: Poisson-Nernst-Planck systems for ion flow with density functional theory for local hard-sphere potential: Numerical approach. Conference Talks Invited talks 1. AMS 2015 Spring Southeastern Sectional Meeting, special session on Advances in the Theory and Applications of Dynamical Systems" University of Alabama, Huntsville, March 27 29, 2015. 2. AMS 2015 Central Spring Sectional Meeting, special session on Modeling, numerics and analysis of electrodiffusion phenomena " Michigan State University, East Lansing, Michigan, March 13-15, 2015. 3. Workshop on Nonlinear elliptic systems and infinite-dimensional and stochastic dynamical system, Michigan state University, East Lansing, Michigan, April 28, 2014. 4. AMS 2014 Spring Central Sectional Meeting, special session on Fractal Geometry and Dynamical Systems, Texas Tech University, Lubbock, TX, April 11-13, 2014. 5. First Central Region Conference on Numerical Analysis and Dynamical systems, Lawrence, Kansas, May 3-5, 2013. 6. AMS 2012 Central Spring Sectional Meeting, special session on Mathematics of Ion Channels: Life s Transistors, University of Kansas, Lawrence KS, March 30-April 1, 2012. Contributed talks 1. First International Conference on Dynamics of Differential Equations, Atlanta, Georgia, March 16-20, 2013. 2. 2013 JMM, San Diego, January 9-12, 2013. Poster presentations
Curriculum Vitae Mingji Zhang 5 1. IMA Summer Graduate Student Program on Flow, Geometric Motion, Deformation and Mass Transport in Physiological Processes, July 15- August 2, 2013. 2. First Central Region Conference on Numerical Analysis and Dynamical systems, Lawrence, Kansas, May 3-5, 2013. 3. SIAM conference on Nonlinear Waves and Coherent Structures (NW12), Seattle Washington, June 13-16, 2012. Workshops 1. Workshop on Persistent Homology for Biosciences, Michigan State University, East Lansing, Michigan, October 18, 2014. 2. KI-Net summer school on Dynamics and Numerics for Non-local PDEs and Related Equations in the Physical and Biological Science, Iowa State University, Ames, Iowa, May 4-7, 2014. 3. Workshop on Nonlinear elliptic systems and infinite-dimensional and stochastic dynamical system, Michigan state University, East Lansing, Michigan, April 28, 2014. 4. IMA Summer Graduate Student Program on Flow, Geometric Motion, Deformation and Mass Transport in Physiological Processes, July 15 August 2, 2013. 5. Tutorials on Dynamics and Differential Equations, Atlanta, Georgia, March 15, 2013. 6. Workshop on Stability of Coherent Structures and patterns, University of Washington, Seattle, Washington, June 11-12, 2012. Other Talks 1. Introduction to the Ericksen-Leslie Continuum Theory of Liquid-Crystals: Part II. PDE s and Singular Perturbation Theory Seminar, Michigan State Univ., Fall 2014. 2. Introduction to the Ericksen-Leslie Continuum Theory of Liquid-Crystals: Part I. PDE s and Singular Perturbation Theory Seminar, Michigan State Univ., Fall 2014. 3. Application of Geometric Singular Perturbation Theory to Poisson-Nernst-Planck type models for ionic flow through membrane channels: Part III. Ion Channel and Related Problem Seminar, Michigan State Univ., Fall 2014. 4. Application of Geometric Singular Perturbation Theory to Poisson-Nernst-Planck type models for ionic flow through membrane channels: Part II. Ion Channel and Related Problem Seminar, Michigan State Univ., Fall 2014. 5. Application of Geometric Singular Perturbation Theory to Poisson-Nernst-Planck type models for ionic flow through membrane channels: Part I. Ion Channel and Related Problem Seminar, Michigan State Univ., Fall 2014. 6. Geometric singular perturbation theory applied to an equation arising in an ion channel model. Part II: Ion size effects on I-V relations, Dynamical Systems and PDES Seminar, Michigan state Univ., Fall 2013. 7. Geometric singular perturbation theory applied to an equation arising in an ion channel model. Part I: Permanent charge effects on I-V relations, Dynamical Systems and PDES Seminar, Michigan state Univ., Fall 2013. 8. Asymptotic expansions and numerical simulations of I-V relations via steady-state Poisson-Nernst-Planck system, Computational and Applied Mathematics Seminar, Univ. of Kansas, Fall 2012.
Curriculum Vitae Mingji Zhang 6 9. A pitch-fork bifurcation of a steady-state Poisson-Nernst-Planck system with nonzero permanent charge function, Computational and Applied Mathematics Seminar, Univ. of Kansas, Fall 2011. 10. Asymptotic expansions of I-V relations via a Poisson-Nernst-Planck system with nonzero permanent charge, Computational and Applied Mathematics Seminar, Univ. of Kansas, Spring 2010. Other Service and Activities Mathematics Awareness Month joint presenter at University of Kansas, April 2012. Advisor of English Club ESL, 2008 2012. References Peter Bates, Michigan State University, bates@math.msu.edu Weishi Liu, University of Kansas, wliu@math.ku.edu Milena Stanislavova, University of Kansas, stanis@ku.edu Xuemin Tu, University of Kansas, x939t548@ku.edu Erik Van Vleck, University of Kansas, erikvv@math.ku.edu Last updated: February 27, 2015