Join one of our mathematics student clubs, organizations, and programs.
The purpose of Pi Mu Epsilon, the national mathematics honorary, is the promotion of scholarly activities in mathematics and statistics and service to the Mathematics and Statistics Departments. At the monthly meetings, invited speakers present topics of interest to the members, generally at the undergraduate level, or discuss graduate school, jobs in the industry, or material in new courses. Cash awards of up to $100 are made each year to sophomores scoring highest on an examination prepared and graded by the chapter. Members are funded to attend the national convention each summer. Each fall the chapter holds a regional student conference.
Every fall, the Department of Mathematics and the Department of Statistics host a conference focusing on some topic of interest to the math/stat community. Nationally recognized speakers are invited, and many talks are also given by other attendees. In addition, there are special sessions of talks presented by students from Miami and other universities, with no restriction on the topic. Miami students are welcome to attend all presentations associated with the conference.
Problems Seminars [MTH 330, 430; STA 471] are small informal classes concerned with challenging, nonroutine problems similar to those found on competitive exams. Problem-solving skills developed or sharpened in these courses should be helpful in any mathematical research work, in consulting in business and industry, or in taking competitive exams. The mathematics courses change each semester and are open to students at all levels. STA 471 requires completion of, or concurrent registration in, STA 462.
Each year, the department enters a team in the Putnam Competition, a challenging national mathematics examination taken by thousands of college students. See Professor Dan Pritikin (289 BAC, 529-5842) for more information. In addition, we enter teams in the annual COMAP national mathematical modeling competition. See Professor Doug Ward (285 BAC, 529-3534) for details. Also, on a local note, the Patterson Examination and the Pi Mu Epsilon Examination are given each spring for first and second-year Miami students.
Abstract: Authentication plays a critical role in the security of quantum key distribution (QKD) protocols. We propose using Polynomial Hash and its variants for authentication of variable length messages in QKD protocols. Since universal hashing is used not only for authentication in QKD but also in other steps in QKD like error correction and privacy amplification, and also in several other areas of quantum cryptography, Polynomial Hash and its variants as the most efficient universal hash function families can be used in these important steps and areas, as well. We introduce and analyze several efficient variants of Polynomial Hash and, using deep results from number theory, prove that each variant gives an $\varepsilon$-almost-$\Delta$-
Date/Time/Location:
Thursday, September 14, 2023 from 3:00-3:50 pm in BAC 219
Speaker/Affiliation:
Khodakhast Bibak, Miami University
Abstract: TBA
Date/Time/Location:
Thursday, November 9, 2023 from 3:00-3:50 pm in BAC 219
Speaker/Affiliation:
Bob Krueger, University of Illinois, Urbana-Champaign
Abstract: TBA
Date/Time/Location:
Thursday, November 16, 2023 from 3:00-3:50 pm in BAC 219
Speaker/Affiliation:
Bryan Van Scoy, Miami University
