Department of Mathematics (MU)
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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Agedependent Branching Processes and Applications to the LuriaDelbrck Experiment
(2015)Microbial populations adapt to their environment by acquiring advantageous mutations, but in the early twentieth century, questions about how these organisms acquire mutations arose. The experiment of Salvador Luria and ... 
Expectation of pnorm of random matrices with heavy tails
(University of MissouriColumbia, 2014)Mathematics 
On unimodality of Hilbert functions of Artinian level algebras of codimension 3 and type 2 and 3
(University of MissouriColumbia, 2014)Mathematics 
GENERATING SEQUENCES OF VALUATIONS AND APPLICATIONS
(University of MissouriColumbia, 2014)Mathematics 
Irrational behavior of algebraic discrete valuations
(University of MissouriColumbia, 2014)Mathematics 
Limit of many molecules dynamics with rigorous macroscopic results
(University of MissouriColumbia, 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
(University of MissouriColumbia, 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
(University of MissouriColumbia, 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
(University of MissouriColumbia, 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 NavierStokes system on the rotating sphere
(University of MissouriColumbia, 2013)We show the existence and uniqueness of an invariant measure for the kickforced NavierStokes system on the 2dimensional sphere, first without deterministic force and then with a timeindependent deterministic force. The ... 
Fusion frame constructions and frame partitions
(University of MissouriColumbia, 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
(University of MissouriColumbia, 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 ... 
Constant proportion portfolio insurance and related topics with empirical study
(University of MissouriColumbia, 2012)The concept of Constant Proportion Portfolio Insurance (CPPI) in terms of jumpdiffusion, as well as the associated meanvariance hedging problem, has been studied. Three types of risk related to: the probability of loss, ... 
Topics in harmonic analysis and partial differential equations: extension theorems and geometric maximum principles
(University of MissouriColumbia, 2011)The present thesis consists of two main parts. In the first part, we prove that a function defined on a closed subset of a geometrically doubling quasimetric space which satisfies a Höldertype condition may be extended ... 
Results in analytic and algebraic number theory
(University of MissouriColumbia, 2012)The thesis begins with proving some theorems about Gauss sums and Jacobi sums. Using theorems the first chapter ends with a proof that if p is a prime such that p ≡ 1 (mod 4), then there are integers a and b such that p ... 
Complemented block bases of symmetric bases and spectral tetris fusion frame constructions
(University of MissouriColumbia, 2012)This work contains of two parts which are totally unrelated. In the first part we consider techniques surrounding the problem whether a complemented subspace spanned by a block basis of a Banach space with unconditional ... 
Study of the convergence of series in certain orthogonal functions
(University of Missouri, 1914)In this present paper we will develop some theorems concerning the degree of convergence of certain series, in particular a Fourier's series, a Legendre's series, and a series of Bessel's functions. Before proceeding ... 
Some new aspects of the Galois theory
(University of Missouri, 1913)Realizing that the Galois theory of algebraic equations as commonly presented seems artificial, abstract, and intricate, we have been led in the following paper to attempt to present in a clear, tangible fashion the general, ...