The competition is for mathletes from local middle and junior high schools.  Members of the Department of Mathematics will help with the competition to be held in McHugh Hall 102.

This is the rescheduled event. Note a new location.

Tyler Genao (Ohio State University) will speak about Uniform polynomial bounds on torsion from rational geometric isogeny classes
Abstract: In 1996, Merel showed that for any elliptic curve \(E\) defined over a number field \(F\) of degree \(d\in\mathbb^+\), the size of the torsion group of \(E\) over \(F\) is bounded by a constant \(B:=B(d)\) which depends only on \(d\), and that conjecturally is in fact a polynomial in \(d\).
In this talk, I will discuss recent joint work with Abbey Bourdon which shows that \(B\) is polynomial in \(d\) for torsion from the family \(\mathcal_\) of elliptic curves which are geometrically isogenous to at least one rational elliptic curve. For torsion from the subfamily \(\mathcal_\) of elliptic curves with rational \(j\)-invariant, our results strengthen prior work of Clark and Pollack.

In the 19th century, Cantor discovered that infinities come in various sizes. In particular, he showed that the size (or cardinality) of the set of real numbers is strictly greater than the size of the set of natural numbers, even though both sets are infinite.

This discovery raised the question of whether there could be a size of infinity that is strictly between the size of the natural numbers and the size of the real numbers. The continuum hypothesis, written as CH, is the statement that there is no such infinite size. In this talk, we will explore these ideas in more detail and consider how mathematicians have tried to figure out whether CH is true or not.

Note: Free refreshments. The talk starts at 5:40.

Join us in the Logic Colloquium for a talk by Tyler Knowlton (Linguistics & Cognitive Science, U Delaware).

Details t.b.a.

https://logic.uconn.edu/calendar/

TBA

Note: Free refreshments. The talk starts at 5:40.

TBA

Note: Free refreshments. The talk starts at 5:40.

TBA

Join us in the Logic Colloquium for a talk by Matthew Chrisman (Edinburgh)!

Details t.b.a.

https://logic.uconn.edu/calendar/

TBA

The 2025 Spring Eastern Sectional Meeting hosted by the University of Connecticut will take place at the Connecticut Convention Center and Hartford Marriott Downtown, Hartford, CT. The sectional meeting also includes social events and opportunities to shop at the on-site AMS Bookstore.

https://www.ams.org/meetings/sectional/2320_program.html

The 2025 Spring Eastern Sectional Meeting hosted by the University of Connecticut will take place at the Connecticut Convention Center and Hartford Marriott Downtown, Hartford, CT. The sectional meeting also includes social events and opportunities to shop at the on-site AMS Bookstore.

https://www.ams.org/meetings/sectional/2320_program.html

https://mat.ufpb.br/jmbo/

Abstract: TBA

Join us in the Logic Colloquium for a talk by Filippo Ferrari (Bologna)!

Join us in the Logic Colloquium for a talk by WooJin Chung (Seoul National University).

Details t.b.a.

https://logic.uconn.edu/calendar/

TBA

I will discuss a model of elastic dislocations applicable to buried faults in the Earth’s crust in between seismic events. The forward problem amounts to solving a non-standard transmission problem for a system of linear PDES in elastostatics, knowing the fault and how much the rock has slipped at the fault. The inverse problem consists in determining the geometry of the fault and the slip at the fault from surface measurements, which can be obtained from GPS and satellite data. While the direct problem is well posed, the inverse problem is generally ill-posed unless assumptions are made on the fault. I will present a uniqueness result for the inverse problem and an iterative reconstruction algorithm based on a distributed shape derivative, which measures the change in the rock displacement under infinitesimal movements of the fault and the slip. I will close with some simple numerical tests from synthetic data. If time permits, I will also discuss non-linear and non-local viscoelastic models for the fault dynamics.

This is joint work with Andrea Aspri (University of Milan), Elena Beretta (NYU-Abu Dhabi), Maarten de Hoop (Rice University), and PhD student Arum Lee.