Faculty members in MU’s Department of Mathematics are actively engaged in research in both theoretical and applied mathematics. With a wide range of research interests, they prepare students for careers in teaching, medicine, scientific research, business, finance and a host of other fields. Working side by side with students, faculty members stress learning how to learn and keep up with the future of mathematics. With 39 regular faculty members working in a variety of fields, the department provides a comprehensive understanding of mathematics. The faculty’s research and teaching are supported by postdoctoral fellows and visiting faculty.

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Recent Submissions

  • Quasi-Metric Geometry 

    Brigham, Dan (University of Missouri--Columbia, 2014)
  • Expectation of p-norm of random matrices with heavy tails 

    Vaidyanathan, Chandrasekar (University of Missouri--Columbia, 2014)
  • On unimodality of Hilbert functions of Artinian level algebras of codimension 3 and type 2 and 3 

    D'Orazio, Valeria (University of Missouri--Columbia, 2014)
  • Results on the Collatz Conjecture 

    Hardwick, Samuel (University of Missouri--Columbia, 2014)

    Pham, Vinh An (University of Missouri--Columbia, 2014)
  • Irrational behavior of algebraic discrete valuations 

    Sanyal, Soumya Deepta (University of Missouri--Columbia, 2014)
  • Limit of many molecules dynamics with rigorous macroscopic results 

    Jacob, Nicholas C. (University of Missouri--Columbia, 2013)
    The thesis builds on recent ideas that combine work by C.B. Morrey (1955) and D.W. Jepsen & D. ter Haar (1962) with more recent analytic techniques: measure disintegration, PDEs for measures, etc. (M.I. Vishik & A.V. ...
  • Stability estimates for semigroups and partly parabolic reaction diffusion equations 

    Yurov, Valerian (University of Missouri--Columbia, 2013)
    The purpose of my dissertation is the application of the methods of abstract theory of strongly continuous operator semigroups (and of evolution semigroups in particular) to study of the spectral properties of a class of ...
  • Frames and projections 

    Cahill, Jameson (University of Missouri--Columbia, 2013)
    In this dissertation we explore several ways in which the concept of projections arise infinite frame theory. In the first chapter we show that the Paulsen problem from frame theory is equivalent to a long standing open ...
  • Groupoids and semigroupoids 

    Vasko, Maria (University of Missouri--Columbia, 2013)
    The theory of semigroupoids and groupoids makes the transition between arbitrary sets and groups. The usefulness of developing theory stems from various applications where a group structure is lacking, yet there exists ...
  • Stochastically perturbed Navier-Stokes system on the rotating sphere 

    Varner, Gregory Alan (University of Missouri--Columbia, 2013)
    We show the existence and uniqueness of an invariant measure for the kick-forced Navier-Stokes system on the 2-dimensional sphere, first without deterministic force and then with a time-independent deterministic force. The ...
  • Fusion frame constructions and frame partitions 

    Peterson, Jesse (University of Missouri--Columbia, 2013)
    Fusion frames consist of a sequence of subspaces from a Hilbert space and corresponding positive weights so that the sum of weighted orthogonal projections onto these subspaces is an invertible operator on the space. Despite ...
  • On projective morphisms of varieties with nef anticanonical divisor 

    Ao, Lunhao (University of Missouri--Columbia, 2012)
    We shall study and discuss some important properties of the projective varieties with nef anticanonical bundles and nef tangent bundles. And we shall review some background and history about the subject. Then we shall use ...
  • On integers with a special divisibility property 

    Banks, William David, 1964-; Luca, Florian (Masarykova Universita, 2006)
    In this note, we study those positive integers n which are divisible by the Carmichael function.
  • Non-residues and primitive roots in Beatty sequences 

    Banks, William David, 1964-; Shparlinski, Igor E. (Australian Mathematical Society, 2006)
    We study multiplicative character sums taken on the values of a non-homogeneous Beatty sequence Bα,β = {⌊αn + β⌋ : n = 1,2,3,…}, where α,β ∈ R, and α is irrational. In particular, our bounds imply that for every fixed ε > ...
  • Coincidences in the values of the Euler and Carmichael functions 

    Banks, William David, 1964-; Friedlander, J. B. (John B.); Luca, Florian; Pappalardi, Francesco; Shparlinski, Igor E. (Polish Academy of Sciences, Institute of Mathematics, 2006)
    The Euler function has long been regarded as one of the most basic of the arithmetic functions. More recently, partly driven by the rise in importance of computational number theory, the Carmichael function has drawn an ...
  • Incomplete exponential sums and Diffie-Hellman triples 

    Banks, William David, 1964-; Friedlander, J. B. (John B.); Koniagin, S. V. (Sergeĭ Vladimirovich); Shparlinski, Igor E. (Cambridge University Press, 2006)
    Let p be a prime and 79 an integer of order t in the multiplicative group modulo p. In this paper, we continue the study of the distribution of Diffie-Hellman triples (V-x, V-y, V-xy) by considering the closely related ...
  • Arithmetic properties of φ(n)/λ(n) and the structure of the multiplicative group modulo n 

    Banks, William David, 1964-; Luca, Florian; Shparlinski, Igor E. (European Mathematical Society, 2006)
    For a positive integer n, we let φ(n) and λ(n) denote the Euler function and the Carmichael function, respectively. We define ξ(n) as the ratio φ(n)/λ(n) and study various arithmetic properties of ξ(n).
  • Distributional Properties of the Largest Prime Factor 

    Banks, William David, 1964-; Harman, G. (Glyn), 1956-; Shparlinski, Igor E. (University of Michigan, 2005)
    Let P(n) denote the largest prime factor of an integer n ≥ 2, and put P(1) = 1. In this paper, we study the distribution of the sequence {P(n) : n ≥ 1} over the set of congruence classes modulo an integer q ≥ 2, and we ...
  • Some Divisibility Properties of the Euler Function 

    Banks, William David, 1964-; Luca, Florian; Shparlinski, Igor E. (Oxford University Press, 2005)
    Let '(・) denote the Euler function, and let a > 1 be a fixed integer. We study several divisibility conditions which exhibit typographical similarity with the standard formulation of the Euler theorem, such as a n ≡ 1 ...

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