Binghamton University Math Graduate Student Seminar
The Math Graduate Student Seminar intends to strengthen the communication among graduate students by letting them present attractive and stimulating mathematics to other students and have discussion around a particular topic. The presentations should be accessible to any graduate student in mathematics and everybody is encouraged to contribute with a talk.

If you would like to give a talk please email Eran Crockett, Patrick Milano, or Rachel Skipper.

For a list of talks from previous semesters, see the archive.

Spring 2018
Meetings: Tuesday 12:05 to 1:05 in WH 309
Organizers: Eran Crockett, Patrick Milano, and Rachel Skipper

DATESPEAKERTITLE AND ABSTRACT

30 January

Eran Crockett

Algebras in meet-semi-distributive varieties

Classifying algebras by the properties of their congruence lattices has been very fruitful in universal algebra. A lattice is meet-semi-distributive if it satisfies a generalization of distributivity. I will give examples of algebras with meet-semi-distributive congruence lattices. Time-permitting, I will mention some of the relations between residual finiteness, finite axiomatizability, and dualizability that these algebras have. Despite all the jargon in this abstract, I will do my best to make this talk accessible to all (math) graduate students.

6 February

Chris Eppolito

Save the Trees!

In this informal talk, we will examine some facets of a certain natural turn-based game played on a graph. Time permitting, we may also explore some generalizations and variations of this game.

13 February

Rachel Skipper

The Math Academic Job Market

When it came time for applying to jobs, I had a thousand and one questions. After two years on the job market, I have answers to a few. This will be an informal and Frank discussion of the application process.

20 February

No Seminar

No Seminar

-

27 February

Marcus Painter

Exposition of running clubs: a combinatorial investigation
Consider the graph consisting of n-squares joined together in a
straight line.  Following the techniques presented by Nissen and Taylor,
I will show how many distinct trails such a graph contains.  I will
give both a recursive and a direct formula for the solution.

6 March

No Seminar

Winter Break

-

13 March

Chance Rodriguez

A topological approach to evasiveness
We discuss a conjecture of Aanderaa, Karp, and Rosenberg about
evasiveness of monotone graph properties and prove a special case.

20 March

No Seminar

No Seminar

-

27 March

Ulysses Alvarez


Playing Table-Tennis in the Hyperbolic Space

I will state and prove the Ping Pong Lemma and discuss an
application to hyperbolic geometry.

3 April

No Seminar

Spring Break

-

10 April

Andrew Lamoureux

Zermelo-Fraenkel set theory

I will discuss the axioms of ZF set theory (without choice). My goal is 
to show that the familiar properties of sets hold and that basic 
constructions are valid: unions, intersections, products etc. of sets 
are in fact sets. Time allowing, we will construct the integers, 
rationals, and reals from the natural numbers.
 
17 April

 
No Seminar
 
No Seminar



24 April
 
Matt Evans

(Non-)Dualizability of bounded commutative BCK-algebras
Bounded commutative BCK-algebras are a variety of algebras (in the sense of
universal algebra) that arise from a non-classical logic, and are generalizations of Boolean algebras.
Following Stone's Duality for Boolean algebras then, it is natural to wonder if such a duality
exists for bcBCK-algebras. As it turns out, the variety of bcBCK-algebras is not itself
dualizable, but it has an infinite family of dualizable subvarieties.

 1 May

Josh Carey


Kac-Moody Algebras

Kac-Moody Algebras are infinite dimensional generalizations of simple Lie
Algebras, discovered independently by their namesakes. In this talk I’ll
briefly “review” the theory of simple Lie Algebras, introduce Kac-Moody
Algebras and their properties, and talk about some cool applications to
physics and to the Monster Group. No previous knowledge of Lie Algebras is
assumed.


Subpages (1): Archive