Completed student projects and theses in the algebra and number theory group phd thesis laia amorós carafí: images of galois representations and p-adic models of shimura an introduction to fibonacci and lucas numbers, student project in master of mathematics, université du luxembourg, december 2016. Richard pink i can offer a range of topics in algebra, number theory, arithmetic geometry supervised master theses and diplomarbeiten nicolas müller: hyperelliptic curves with many automorphisms, april 2017 jennifer jayne jakob : good reduction of postcritically finite quadratic morphisms, march 2016. This is an msc thesis talk on the open problem of finding good code lattices for wireless communications by use of algebraic number theory we present the wiretap problem and describe the design criteria for a (number-theoretic) code lattice as an example of number-theoretic problems motivated by the design criteria, we. 2017-2018 this is the list of possible topics for a master's thesis proposed by the staff members of the research group algebraic geometry and number theory every topic comes with a short description in case you are interested in or have ques- tions about one of the topics, please contact the corresponding staff member. The algant program consists mainly of advanced courses within the field of mathematics and of a research project or internship leading to a master thesis courses are offered in: algebraic geometry, algebraic and geometric topology, algebraic and analytic number theory, coding theory, combinatorics,.
Perfect triangles : rational points on elliptic curves , phd thesis, shahrina ismail , unoversity of queensland, 2017 minimal indices of pure cubic fields, msc thesis, jeewon yoo, university of british columbia, 2016 computational aspects of modualr parameterizations of elliptic curves, phd thesis, hao chen, university of. This technic can be used with simple types of functions such as for example affine functions to generate large number of fractals of different shapes as well as master level if you want to write a thesis in algebra you can speak with johan richter his research area is ring theory and he would be happy to. Senior thesis and phd thesis at the mathematics department justin william henry cavitt '17, set-theoretic geology, the ultimate inner model, and new axioms, pdf greg parker '17 ma, ziyu, martin nowak, evolutionary games on structured population: when will cooperation be favored under weak selection.
In recent years, solutions have been found to profound problems that have existed for hundreds of years or more (poincaré's conjecture and fermat's last theorem), and the enthusiasm that accompanies these new breakthroughs has led to many thesis topics examples of thesis topics: algebra and the theory of numbers. A history of the prime number theorem a thesis submitted to kent state university in partial fulfillment of the requirements for the degree of master of number theory the pythagoreans classified positive integers as even, odd, prime and composite around 600 bc the first systematic study of prime numbers. The algant program consists mainly of advanced courses within the field of mathematics and of a research project or internship leading to a master thesis courses are offered in: algebraic geometry, algebraic and geometric topology, algebraic and analytic number theory, coding theory, combinatorics, complex function.
Bachelor thesis analysis of the 3/2 model by stochastic taylor expansions: it is supposed to analyse the stochastic taylor expansion for the expected value of the european option in the above model supervisor: professor kimmo eriksson number theory: looking for ramanujan congruences in integer. Bachelor and master dissertations rss feed on these positions can't find what you're looking for you are always welcome to submit a speculative application for a position as a diplom candidate, doctoral researcher, or to work on your bachelor's or master's dissertation just contact the institute that suits your interests. Contents: in this course we will give an introduction to number theory from the elements up to the quadratic reciprocity law with an emphasis on algorithmic methods important problems (which have applications in modern cryptography) are the factorization of integers, recognition of primes and calculation of discrete. Masters thesis prop osals there are currently no thesis proposals masters projects carried out in optimization 2016 jonathan ruffieux optimization of routes for a fleet of plug-in hybrid vehicles mathematical modeling and solution procedures edvin åblad intersection-free load balancing for industri.
(algebraic number theory, algebraic geometry ) • global analysis and geometry (differential geometry, algebraic topology ) • applied analysis ( functional analysis, partial differential equations ) in addition, the student chooses an area of specialization (18 ects have to be aquired), where the master's thesis. Rob goldblatt—mathematical and philosophical logic, including model theory of modal and other intensional logics and algebraic logic adam day—algorithmic randomness, computability theory and models of set theory noam greenberg— classical and higher computability theory (masters, phd) and set theory (masters. This is a list of number theory topics, by wikipedia page see also list of recreational number theory topics topics in cryptography contents [hide] 1 factors 2 fractions 3 modular arithmetic 4 arithmetic functions 5 analytic number theory: additive problems 6 algebraic number theory 7 quadratic forms 8 l-functions.
You may use this list to select a thesis topic or you can use the list below to get a general idea of the mathematical interests of our faculty masters' events in running would be another source for data research interests: analytic number theory, random matrix theory, probability and statistics, graph theory my main. Two interesting master thesis topics (related to group theory) that came to mind are: (1) the word problem in group theory: given a group presented using generators and relations, can you tell whether a random element is actually equal to the identity surprisingly the answer is no the word problem in. Welcome to the homepage of our group our research is focused on ultracold gases in optical lattices, hybrid quantum simulators such as ion-atom systems, and strongly correlated electrons, eg in nanostructures you can find descriptions of the individual research projects here below is a selection of recent publications.
Applications of the theory of elliptic functions in number theory harmoussis, t ( 1984) applications of the theory of elliptic functions in number theory masters thesis, durham university. In our algebraic topology & group theory research team, we invite and accept master's students for their thesis project our research topics and interests are mainly situated in algebraic topology, group theory and lie-algebra theory some of these topics can be found below, although in a rather vague way you may know.
Master specialisation algebra, geometry and number theory (see below) require that at least 30 the thesis advisor declares the thesis ready for examination only if the thesis is completed, a public talk by the student about the thesis has been scheduled before master thesis, mathematisch instituut, universiteit leiden. A list of people that have obtained their master's thesis in algebra and geometry at kth alice hedenlund, galois theory of commutative ring spectra, bauer/ 2016, oslo graduate rami kraft, illustrations of andreas holmström, harmonic analysis on number fields, faber/2005, cambridge graduate. The section of mathematics supervises fagprojekter, bachelor theses, and master theses broadly within theoretical and applied mathematics below, each group has described which kind of projects they supervise see also past student projects for concrete examples of completed projects completed.