## Fall 2021 – Summer 2022 – Abstracts

Wednesday, September 22, 2020. Mathematics Colloquium.

Dr. Brandon Hanson, Department of Mathematics & Statistics, University of Maine.
“Sums and products and combinatorial geometry (oh my!)”
3:15 – 4:15 pm, Barrows Auditorium

Abstract: One of the fundamental themes in number theory is the incompatibility of addition and multiplication. As he did so often, Paul Erdos made a wonderfully simple conjecture which beautifully describes this incompatibility, called the Sum-Product Conjecture. Along with Endre Szemeredi, he proved a first estimate toward the conjecture in 1983. In 1997, Gyorgy Elekes introduced ideas from combinatorial geometry that made short work of the best known estimates for the Sum-Product Conjecture and since then two areas have been intimately connected. I plan on introducing the combinatorial background, surveying the bridges between the two areas, and highlighting some recent developments. The talk should be both leisurely and accessible.

Wednesday, October 20, 2020. Mathematics Colloquium.

Dr. Tyrone Crisp, Department of Mathematics & Statistics, University of Maine.
“TBA”
3:15 – 4:15 pm, Barrows Auditorium

Abstract: TBA

Wednesday, November 3, 2020. Mathematics Colloquium.

Dr. Yeongseong Jo, Department of Mathematics & Statistics, University of Maine.
“TBA”
3:15 – 4:15 pm, Barrows Auditorium

Abstract: TBA

Wednesday, November 10, 2020. Mathematics Colloquium.

Dr. Peter Stechlinski, Department of Mathematics & Statistics, University of Maine.
“TBA”
3:15 – 4:15 pm, Barrows Auditorium

Abstract: TBA

Wednesday, November 17, 2020. Mathematics Colloquium.

Dr. Byungjae Son, Department of Mathematics & Statistics, University of Maine.
“TBA”
3:15 – 4:15 pm, Barrows Auditorium

Abstract: TBA

Wednesday, December 8, 2020. Mathematics Colloquium.

Dr. Brandon Lieberthal, Department of Mathematics & Statistics, University of Maine.
“TBA”
3:15 – 4:15 pm, Barrows Auditorium

Abstract: TBA