Assistant University

CURRICULUM VITAE

LINGHAI ZHANG

A. Biographical Information

H: 109 Wyndham Drive, Allentown, Pennsylvania 18104 USA. Telephone: 610-***-****.

Department of Mathematics, Lehigh University. 14 East Packer Avenue, Bethlehem, Penn-

sylvania 18015 USA. Telephone: 610-***-****. Fax: 610-***-****. liz5 @ lehigh.edu

.

I: Research Interests

Mathematical Neuroscience

Partial Differential Equations

II: Education

Ph.D: Department of Mathematics, The Ohio State University. 231 West 18th Avenue,

Columbus, Ohio 43210 USA. Advisor: David Terman. Thesis: Existence and Asymp-

totic Stability of Traveling Wave Solutions of Neuronal Network Equations. 1994 -

1999

M.S: Division of Applied Mathematics, Beijing Institute of Applied Physics and Com-

putational Mathematics. P. O. Box: 8009, Beijing 100088 The People s Republic of

China.1986 - 1989

B.S: Department of Mathematics, Beijing Normal University. Beijing 100875 The People s

Republic of China.1982 - 1986

III: Positions Held

Associate Professor: Department of Mathematics, Lehigh University. 14 East Packer

Avenue, Bethlehem, Pennsylvania 18015 USA. August 2008 - present

Assistant Professor: Department of Mathematics, Lehigh University. 14 East Packer

Avenue, Bethlehem, Pennsylvania 18015 USA. August 2002 - August 2008

Dunham Jackson Assistant Professor: School of Mathematics, University of Minnesota.

206 Church Street Southeast, Minneapolis, Minnesota 55455 USA. 1999 - 2002

Research Associate: Divison of Applied Mathematics, Beijing Institute of Applied Physics

and Computational Mathematics. P. O. Box: 8009, Beijing 100088 The People s

Republic of China. 1989 - 1994

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B: List of Publications and Preprints

I: Books

1 Integral Differential Equations and Applications in Mathematical Neuroscience, in

progress.

2 Nonlinear Nonhomogeneous Dissipative Partial Differential Equations, in progress.

3 Bounded Explicit Traveling Wave Solutions of Nonlinear Evolution Equations, in

progress.

II: Book Chapters

1 Solutions to Some Open Problems in n-Dimensional Fluid Dynamics. Progress in Non-

linear Analysis Research. Editor-in-Chief: Erik T. Hoffmann. Nova Science Publish-

ers Inc. New York. ISBN: 978-1-60456-359-7. 2009. Pages 69-135.

2 Traveling Waves Arising from Synaptically Coupled Neuronal Networks. Advances in

Mathematics Research, Volume 10. Editor-in-Chief: Albert R. Baswell. Nova Sci-

ence Publishers Inc. New York. ISBN: 978-1-60876-265-1. 2010. Pages 53-204.

III:

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Representing Lehigh University, I have been invited to give talks in many different

countries

(including Andorra, Australia, Canada, China, Germany, Japan and US). These talks

enhance the reputation of Lehigh University.

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F. Scholarly Presentations

II: Invited Colloquium and Seminar Presentations

Department of Mathematics, University of British Columbia, Canada. May 22, 2003.

Lecture: On the stability of traveling wave solutions of integral-differential equations

arising from synaptically coupled neuronal networks

Department of Mathematics, Rutgers University. February 22, 2005. Lecture: Wave

solutions and bifurcations in nonlocal neuronal networks

Department of Mathematics, Lehigh University. September 28, 2005. Colloquium Lec-

ture: Low persistent activity rate vs high saturating rate: dynamics of nonlinear

waves in synaptically coupled neuronal networks

School of Mathematical Sciences, Beijing University. June 17, 2006. Lecture: Solutions

to some open problems in fluid dynamics

Mathematical Biosciences Institute, The Ohio State University. October 17, 2006. Lec-

ture: Dynamics of neuronal waves

Department of Mathematical Sciences, Carnegie Mellon University. November 28, 2006.

Lecture: Exact limits of global solutions of some nonlinear dissipative partial differ-

ential equations

Department of Mathematics, Lehigh University. September 19, 2007. Colloquium Lec-

ture: Recent research activities in mathematical neuroscience and dynamical systems

School of Mathematical Sciences, Beijing University. June 4, 2008. Lectures: Sharp

rates of decay and exact limits of solutions of some dissipative partial differential

equations.

Research Center for Applied Mathematics,

Tsinghua University, China. June 9, 2009.

Lectures: I: Traveling waves of integral differential equations arising from synapti-

cally coupled neuronal networks. II: Exact limits of global strong solutions of some

nonlinear dissipative partial differential equations arising from n-dimensional fluid

dynamics

Department of Mathematics, Lehigh University. January 25, 2012. Lecture: Bounded

explicit traveling wave solutions of some nonlinear evolution equations.

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G. Teaching and Research Advising

I: Courses Taught

(Courses for Undergraduate Students)

Calculus sequences (Mathematics 21-22-23 and Mathematics 75-76)

Differential Equations and Linear Algebra (Mathematics 205)

Introduction to Dynamical Systems in Mathematical Biology (Mathematics 295)

Principles of Mathematical Analysis (Mathematics 301)

Ordinary Differential Equations (Mathematics 320)

Mathematical Models and Their Formulation (Mathematics 341)

(Courses for Graduate Students)

Partial Differential Equations sequence (Mathematics 405-406)

Introduction to Functional Analysis (Mathematics 435)

Dynamical Systems and Mathematical Biology (Mathematics 450)

Nonlinear Partial Differential Equations (Mathematics 450)

Topics in Applied Mathematics (Mathematics 450)

Topics in Evans Functions (Mathematics 450)

Topics in Mathematical Neurobiology (Mathematics 450)

Existence and Stability of Traveling Waves (Mathematics 450)

Topics in Mathematical Neuroscience (Mathematics 450)

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G. Teaching and Research Advising

II: Advising Students and Visitors

1 Under my supervision, Melissa Anne Stoner received her Ph.D in May 2011. Her thesis

is: Existence and Stability of Standing and Traveling Wave Solutions Arising from

Synaptically Coupled Neuronal Networks. Her research interest is in mathematical

neuroscience. Now Melissa Stoner is an Assistant Professor in the Department of

Mathematics at Salisbury University, Maryland. Email: ********@*********.***.

Telephone: 410-***-****.

2 I am supervising Jie Yuan in the mathematics Ph.D program.

3 I am supervising two international visitors:

(1) Lijun Zhang, Associate Professor, Department of Mathematics, Zhejiang Sci-

Tech University. Hangzhou, Zhejiang, People s Republic of China. 310018 Email:

**-*******@*****.***.**

(2) Haihong Liu, Associate Professor, Department of Mathematics, Yunnan Normal

University. Kunming, Yunnan, People s Republic of China. 650092 Email: lhh-

****@*****.***.**.

I will supervise each of these visitors for a whole year.

4 I lead a team of students to conduct research in mathematical neuroscience in the

summer of 2007 (with Michael Burger).

5 I lead a team of students to conduct research in mathematical neuroscience in the

summer of 2008 (with Michael Burger and Ping-Shi Wu).

6 In the summer of 2006, I lead three undergraduate students to do research in math-

ematical neuroscience - speed analysis of traveling waves arising from synaptically

coupled neuronal networks.

7 I lead Neil Whitman Dexter to conduct research in mathematical neuroscience in the

summer of 2010.

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H. Service

I have been performing many services for the Department of Mathematics and for the

College of Arts and Sciences:

1 I am an advisor of undergraduate mathematics majors, since Autumn semester of 2011.

2 I am an advisor of undergradueate non-mathematics majors, since Autumn semester of

2005.

3 I am an advisor of undergraduate minors in pure mathematics.

4 I am an organizer of Seminar in Applied Mathematics.

5 I am a calculus committee member.

6 I am a graduate committee member.

7 I am a hiring search committee member.

I love to do these services and I would like to continue to conduct these services.

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