Go This collection contains a selection of the latest doctoral theses completed at the School of Mathematics. Please note this is not a comprehensive record. This material is presented to ensure timely dissemination of scholarly and technical work.
Topics in Categorical Data Analysis and Simultaneous Inference For the most up to date information on my research, visit http: Construction of simultaneous confidence intervals for binomial proportions.
Models for longitudinal observations Generalized Linear Mixed Models. Conditional inference for generalized linear models with asymmetric link functions.
Any applied data analytic method that involves more advanced statistics. Statistical consulting with potential collaboration of another Thesis problems in mathematics, economist or social scientist. Susan Loepp Research Interests: I study algebraic structures called commutative rings.
Specifically, I have been investigating the relationship between local rings and their completion. One defines the completion of a ring by first defining a metric on the ring and then completing the ring with respect to that metric.
I am interested in what kinds of algebraic properties a ring and its completion share. This relationship has proven to be intricate and quite surprising.
I am also interested in the theory of tight closure. Topics in Commutative Algebra including: What prime ideals of C[[x1,…,xn]] can be maximal in the generic formal fiber of a ring? Compute the tight closures of specific ideals in rings. For which ideals in excellent rings does tight closure and completion commute?
Topics in mathematics, including but not restricted to subjects related to the thesis topics above. Steven Miller For more information and references, see http: Analytic number theory, random matrix theory, probability and statistics, graph theory. My main research interest is in the distribution of zeros of L-functions.
It turns out that the properties of zeros of L-functions are extremely useful in attacking questions in number theory. Interestingly, a terrific model for these zeros is given by random matrix theory: This model also does a terrific job describing behavior ranging from heavy nuclei like Uranium to bus routes in Mexico!
In addition to being of theoretical interest, applications range from the IRS which uses it to detect tax fraud to computer science building more efficient computers. Theoretical models for zeros of elliptic curve L-functions in the number field and function field cases.
Studying lower order term behavior in zeros of L-functions. Studying the distribution of eigenvalues of sets of random matrices. Additive number theory questions on sum and difference sets. Frank Morgan Research interests: Geometry, minimal surfaces such as soap bubbles, manifolds with density.
Isoperimetric problems and soap bubble clusters of various sorts. Many similar open problems involve optimal structures.UNIVERSITÀ DEGLI STUDI DI MILANO DEPARTMENT OF MATHEMATICS PhD Thesis in Mathematics On the p-Laplace operator on Riemannian manifolds Date: .
I submitted the thesis in and after a successful ‘defense’ made a swift exit from research mathematics.
I was curious to see how much of the dissertation I can still grasp, five years. The Doctorate in Mathematics is a degree that certifies both a high level of scholarship and the ability to make original contributions in one's own field.
been passed and a general area of research interest has been found, it is time to begin (or complete) the search for a thesis advisor and specific research problems.
This process. The MS in Mathematics is awarded under either Plan I (26 hours with 6 hours of thesis) or Plan II (32 hours). Instead of writing a thesis, Plan II students must pass the MS/PhD.
There are many topics in the history of mathematics that could be developed into a thesis -- the history of an individual or group of mathematicians (e.g. Ramanujan or women in mathematics), the history of mathematics in a specific region of the world (e.g. Islamic, Chinese, or the development of mathematics in the U.S.), or the history of a.
For PhD Thesis, see here. This page is about Senior thesis. In order that senior thesis produced by Harvard math students are easier for other undergrads to benefit from, we would like to exhibit more senior theses online (while all theses are available through Harvard university archives, it would.