My areas of research i'll start by giving a general description of my mathematical interests for more specific discussion of research topics, i have a separate page however, the deployment of computers in number theory is not automatic a rich field of computational number theory exists at this interface the flow of ideas. The heart of the group currently features seven faculty: iain gordon, david jordan , tom lenagan, sue sierra, agata smoktunowicz, chris smyth and michael wemyss there are many phd students and post-docs, and together with with the geometers and topologists we form the hodge institute. This journal is devoted to research articles of the highest quality in computational mathematics areas covered include numerical analysis, computational discrete mathematics, including number theory, algebra and combinatorics, and related fields such as stochastic numerical methods articles must be of significant. Eighth algorithmic number theory symposium ants-viii may 17-22, 2008 banff centre, banff, alberta (canada) since their inception in 1994, the bi-annual ants meetings have become the premier international forum for the presentation of new research in computational number theory they are devoted to algorithmic.
Number theory is the study of the integers (ie whole numbers) and related objects topics studied by number theorists include the problem of determining the distribution of prime numbers within the integers and the structure and number of solutions of systems of polynomial equations with integer coefficients. In 2018 mit primes runs research projects in mathematics, computer science, and computational biology mathematics the local section has 29 students working on 11 research projects (8 individual projects and 3 joint projects for 2-3 students) and studying in 6 reading groups the national primes-usa math section. Scope, this journal publishes original research papers and review articles on all areas of number theory, including elementary number theory, analytic number theory, algebraic number theory, arithmetic algebraic geometry, geometry of numbers, diophantine equations, diophantine approximation, transcendental number. Number theory is a branch of mathematics committed essentially to the investigation of the integers related journals of number theory computational geosciences, research & reviews: journal of statistics and mathematical sciences, biometrics & biostatistics journal, computational statistics and data analysis,.
Twelfth algorithmic number theory symposium ants-xii university of since their inception in 1994, the bi-annual ants meetings have become the premier international forum for the presentation of new research in computational number theory they are the list of accepted papers can be found here call for posters. An algorithm for computing the reduction of 2-dimensional crystalline representations of gal(ℚ̄p/ℚp) sandra rozensztajn no access new infinite families of congruences for the number of tagged parts over partitions with designated summands no access constant term evaluation and two kinds of congruence. Department of mathematics of turku university organizes during the academic year 2006/2007 international visitor program under the theme algorithmic and discrete mathematics (see ) as a part of the project several conferences will take place in turku one of those is a conference on.
Summer mathematics research experience for undergraduates (reu) → interdisciplinary mentoring program in analysis, computation, & theory (impact ) → finding a research mentor the mathematics department is one of the top math departments in the nation for undergraduate mentored research, and was. Number theory seminar, the ohio state university, warren sinnott, david goss, jim cogdell, roman holowinsky, wenzhi luo, ghaith hiary, number theory. Research on number theory what is number theory number theory is the branch of mathematics concerned with the study of the properties of the integers it is one of the oldest parts of mathematics, alongside geometry, and has been studied at least since the ancient mesopotamians and egyptians.
[a2a] as a high schooler, you likely don't have the prerequisites to do actual mathematical research that said, you can i'm not that well versed in number theory, but since you mention computer science/mathematics, i suggest that you take a look at graph theory sourav adhikari, computational mathematics undergrad.
The ants meetings, held biannually since 1994, are the premier international forum for new research in computational number theory ants meeting, the selfridge prize is awarded to the best submitted paper as judged by the program committee the prize carries a cash award funded by the number theory foundation. Computational group theory (cgt) is the study of algorithms, theoretical as well as for concrete calculations, for computing with groups research research in fort collins covers many aspects of cgt the following list gives some areas on which work has been done recently or is continuing: classification of transitive. Moscow journal of combinatorics and number theory publishes original, high- quality research articles from a broad range of interests within combinatorics, number pure & applied analysis is a not-for-profit journal devoted to original research at the interface of mathematical modeling, scientific computation, numerical.