Colloquium Series
Sums of Primes
Thursday, Sep 18, 2025 from 3:00-3:50 pm in Upham 127
Lawrence C. Washington, University of Maryland
Abstract: The sum of the primes up to x is asymptotic to the number of primes up to x^2, namely pi(x^2). However, the sum tends to be less than pi(x^2).
We quantify this and give an equivalent form of the Riemann Hypothesis.
2025-2026 Colloquium Series
Speaker/Affiliation: Grace McCourt, Iowa State University
Title: Problems in Ramsey theory
Abstract: The Ramsey number R(s,t) is the minimum integer n such that any graph on n vertices must either contain a clique of size s or an independent set of size t. This can also be viewed as the minimum integer n such that any red-blue coloring of the edges of K_n results in either a red K_s or a blue K_t. Ramsey numbers and their generalizations are extensively studied in extremal graph theory. In this talk, I will present results on a few variations on Ramsey numbers, including Ramsey-Turan numbers, online ordered Ramsey numbers, and Kneser Ramsey numbers.
This work is joint with Balogh, Chen, and Murley; Heath, King, Sheats, and Wisby; and Heath, Parker, Schwieder, and Zerbib.
Date/Time/Location: Tuesday October 14, 2025 from 3:00-3:50 pm in UPH 127
Speaker/Affiliation: Axel Brandt, John Carroll University
Title: TBA
Abstract: TBA
Date/Time/Location: Thursday, Oct 30, 2025 from 3:00-3:50 pm in UPH 127
