Research interests

• Convexity, monotonicity and smoothness study and their applications


• Uniqueness properties of solutions of differential equations


• Methods and algorithms in graph partition and matrix decomposition


• Quantum statistical inference, applications of non-commutative probability

Partial publications and manuscripts   (on MathSciNet)

• Lin, C., Martin, K.A., Wang, M., Stein, B.L., Desai, K.R. (2019)   Long-Term Antithrombotic Therapy after Venous Stent Placement. Phlebology 2019.


• Wang, S.,Wang, M. (2018)   Constructing Social Networks From Binary Data, arXiv:1806.04165.


• Tang, T., Pan, Y. and Wang, M. (2015)   An increasing flat function with infinitely changing convexity, Houston J. Math 41 (4): 1153-1161.


• Eakins, E., Wang, M. and Dwyer, G. (2015)   The effects of the avoidance of infectious hosts on infection risk in an insect-pathogen interaction, American Naturalist 2015 185(1): 100-112.


• Pan, Y., Wang, M, and Yan, Y. (2013)   A Hopf's lemma for higher order differential inequalities and its applications, Journal of Differential Equations. 255 (2013): 2826-2845.


• Pan, Y., Wang, M, and Yan, Y. (2012)   Uniqueness theorem for ordinary differential equations with Holder continuity, Pacific Journal of Mathematics 263(2): 453-573.


• Pan, Y. and Wang, M. (2010)   Uniqueness of nth order differential systems with strong singularity, Electronic Journal of Differential Equations 2010 (172): 1-9.


• Ma, L., Stein, M. L., Wang M., Shelton, A. O., Pfister, C. A., and Wilder, K. J. (2010)   A method for unbiased estimation of population abundance along curvy margins, Environmetrics.


• Pan, Y. and Wang, M. (2010)   An application of Hardy-Littlewood Tauberian Theorem to harmonic expansion of a complex measure, Real Analysis Exchange 35 (2): 517-524.


• Pan, Y. and Wang, M. (2009)   A uniqueness result on ordinary differential equations with singular coefficients, Electronic Journal of Differential Equations 2009 (56): 1-6.


• Bever, J. D., Kang, H., Kaonongbua, W. and Wang, M. (2008)   Genomic organization and mechanisms of inheritance in arbuscular mycorrhizal fungi: contrasting the evidence and implications of current theories Mycorrhiza (A. Varma Ed.): 135-148. Springer-Verlag.


• Pan, Y. and Wang, M. (2008)   On higher order angular derivatives - an application of Faàdi Bruno's formula, Complex Variables and Elliptic Equations 53 (2): 159-175.


• Pan, Y. and Wang, M. (2008)   When is a function not flat? Journal of Mathematical Analysis and Applications 340 (1): 536-542.


• Pan, Y. and Wang, M. (2007)   Monotonicity of Harnack inequality for positive invariant harmonic functions, Journal of Applied Mathematics and Stochastic Analysis 2007 (doi: 10.1155/2007/39171)


• Heller, B. and Wang, M. (2007) Posterior distribution for negative binomial parameter p using a group invariant prior (publication DOI) ( author's pdf) Statistics and Probability Letters 77: 1542-1548.


• Sun, L. and Wang, M. (2007)   An algorithm for a decomposition of weighted digraphs --- with applications to life cycle analysis in ecology (original publication) ( author's pdf>) Journal of Mathematical Biology 54: 199-226.


• Heller, B. and Wang, M. (2006)   Group invariant inferred distributions via noncommutative probability. Institute of Mathematical Statistics, Lecture Notes and Monograph Series 50: 1-19.


• Bever, J. D. and Wang, M. (2005)   Hyphal fusion and multigenomic structure. Nature 433 (7022): E3-E4.


• Pfister, C. and Wang, M. (2005)   Beyond Size: matrix projection models for populations where size is an incomplete descriptor. Ecology 86 (10): 2673-2683.