XinMin Zhang's CV
Education
 B.S., Mathematics,
Shaanxi Normal University,
PRC, 1975
 M.S., Mathematics,
University of Massachusetts at Amherst, 1987
 Ph.D., Mathematics, University of Massachusetts at Amherst, 1990
Employment
 Professor of Mathematics,
University of South Alabama,
2001
 Associate Professor of Mathematics, University of South Alabama,
19962001
 Assistant Professor of Mathematics, University of South Alabama,
19901996
 Teaching assistant and Teaching associate, University of
Massachusetts at Amherst, 198590
 Instructor, Shaanxi Normal University, PRC, 197585
Research Articles
 A note on the SelfMap of the Interval,
J. Math. Res. Exposition, 5(1985), No. 2, p144. MR 87j:58055.
 Newman's Theorem for Spherical Submanifolds,
Bull. Inst. of Math., Academia Sinica, 21(1993)326336. MR 95h:53083.
 Isometric Immersion of Minimal Spherical Submanifolds
Via the Second Standard Immersion of the Sphere,
Tamkang Journal of Mathematics, 23(1992)149159. MR 93h:53066.
 Eigenvalue Estimates for Higher Order Elliptic Equations
(with KuKu), Tamkang Journal of Mathematics, 25(1994)267278.
MR 96a:35135.
 Analytic and Geometric Isoperimetric Inequalities (with
KuKu), Journal of Geometry, 53(1995)100121. MR 96f:52012.
 A Refinement of the Discrete Wirtinger Inequality,
Journal of Mathematical Analysis and Applications,
200(1996)687697. MR 97h:26012.
 BonnesenStyle Inequalities and PseudoPerimeters for
Polygons, Journal of Geometry, 60(1997)188201.
 Isoperimetric Inequalities on Surfaces of Constant
Curvature (with KuKu), Canadian Journal of Mathematics,
49(1997)11621187.
 Inequalities for Symmetric Means, Symmetric Harmonic Means,
and Their Applications (with KuKu), Bull. Austral. Math. Soc.,
56(1997)409420.
 SchurConvex Functions and Isoperimetric Inequalities,
Proc. AMS, 126(1998)461470. MR 98d:26005.
 Generalized Power Means and Interpolating Inequalities
(with KuKu), Proc. AMS, 127(1999)145154.
 Optimization of SchurConvex Functions,
Mathematical Inequalities and Applications, Vol.1, No.3,
(1998)319330.
 A New Criterion to Measure the Efficiency of a Design (with
D. Bhaumik), SankhyaThe Indian J. Stat., ser. B, Vol. 60
(1998)315330.
 Dynamic Geometry of Polygons, (with R. Hitt),
Elemente der Mathematik , 56(2001)2137.
 Markov Chains and Dynamic Geometry of Polygons, (with Hitt
and Ding), Linear Algebra and Its Applications, 367(2003)255270.
 Sierpinski Pedal Triangles, (with Hitt and Ding), preprint.
Expository Articles
 Calculus and Isoperimetric Quotients , Alabama Journal of
Mathematics , Vol. 20, No. 2, (1996)1722.
 Geometric Interpretations of the Continuous Mean , (with A.
Shah), Pi Mu Epsilon Journal , Vol. 10, No. 9, (1998)712721.
 From TwinPeaks to Multipeaks: An Application of Jensen's
Inequality, Missouri J. Math. Sci. , Vol. 11, No. 2,
(1999)113120.
 Discrete Analytic and Geometric InequalitiesLewisParker Lecture.
Alabama Journal of Mathematics , Vol. 24, No. 2, (2000)116.
Conferences and Presentations

American Mathematical Society meeting 969,
Ohio State University, Sept. 2123, 2001.
Presentation: Sierpinski Pedal Triangles

Second Southern Conference on Computing 2000,
Hattiesburg, MS, Oct. 2628, 2000.
Program committee member.

Second USHungary Workshop in Discrete Geometry and Convexity
Auburn, AL, March 2126, 2000.
Presentation: Markov Chains and Dynamic Geometry of Polygons,

LewisParker Lecture, (onehour invited talk) Troy, AL, Feb. 15, 2000
Alabama Association of College Teachers of Mathematics.
Presentation: Discrete Analytic and Geometric Inequalities.

American Mathematical Society meeting 941,
Univ. of Ill. at Urbana, March, 1999.
Presentation: Dynamic Geometry of Polygons

The 14th SouthEastern Analysis Meeting,
Tuscaloosa, AL, Feb. 2728, 1998.
Presentation: Analytic Inequalities Related to SchurConvex Functions

The 12th Auburn MinConference on Real Analysis,
Auburn, AL, March 1997.
Presentation: Inequalities for symmetric and harmonic symmetric means
 Affine Geometry of Convex Sets,
Halifax, NS, Canada, July, 1996.
Presentation: Some BonnesenStyle Inequalities for Polygons
 1996 AMSIMSSIAM Joint Summer Research Conferences.
Discrete and Computational Geometry,
Mt. Holyoke, MA, July, 1996.
 The 11th Auburn MinConference on Real Analysis,
Auburn, AL, March 1996.
Presentation: SchurConvex Functions and Isoperimetric Inequalities
 The 5th Annual USA/USM MinConference on Undergraduate
Research in Mathematical Sciences, Mobile, Feb. 15, 1996.
Presentation: Calculus, Isoperimetric Quotients, and Majorizations
 1995 AMSIMSSIAM Joint Summer Research Conferences
Finsler Geometry, Univ. of Washington, Seattle, July, 1995.
 American Mathematical Society meeting 892, New York, April 1994.
Presentation: Analytic and geometric isoperimetric inequalities.
 Summer Geometry Institute,
Park City, Utah. July, 1992.
 University of South Alamaba, departmental colloquium talks.
1. Sierpinski Pedal Triangles, Nov. 9, 2000.
2. Dynamical Systems in Classical Geometry, Nov. 11, 1999.
3. Optimization of SchurConvex Functions, Jan. 15, 1998.
4. Generalized Power Means and Their Applications, Nov. 1996.
5. SchurConvex Functions and Isoperimetric Inequalities, Nov. 1995.
6. Newman's Theorem, Transformation Groups, and Hilbert's Fifth Problem, Fall 1992.
 University of South Mississippi, invited talks.
1. Discrete Analytic and Geometric Inequalities, Nov. 15, 2001.
2. Sierpinski Pedal Triangles, Sept. 28, 2000.
3. Dynamical Systems in Classical Geometry, Jan. 28, 2000,
Aadressed to USM Scientific Computing PH.D program Seminar.
The same talk is presented to the Math dept at USM on March 16, 2000.
4. Optimization of SchurConvex Functions, March, 1998.
5. Generalized Power Means and Their Applications, Nov. 1996.
6. Calculus and Isoperimetric Inequalities, March 1996.
7. BonnesenStyle Inequalities for Convex Polygons, April 1996.
 Wellesley College, invited talk, 1990,
First eigenvalue and volume estimates for compact spherical minimal submanifolds
XinMin Zhang
Department of Mathematics and Statistics
University of South Alabama
Mobile, Alabama 36688
U.S.A.
Business telephone: (251)4606264
Fax: (251)4607969
Email: zhang@jaguar1.usouthal.edu
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