May

30

2017

On Tuesday, May 30 at 12:00pm, the SIAM club will be hosting Dr. Duncan McGregor of Sandia National Laboratories, alumnus of OSU. He will present on arbitrary Lagrangian-Eulerian methods, following the talk Dr. McGregor will be available for questions (SIAM will provide lunch during Q/A). If you plan on joining us for the Q/A, please RSVP by Monday, May 29.

May

30

2017

In this work we consider the dependence of solutions to a partial differential equations system on its data. The problem of interest is a coupled model of nonlinear flow an transport in porous media, with applications, e.g. to environmental modeling. The model of flow we consider is known as the non-Darcy model, and its solutions: the velocity, and pressure unknowns, depend on the coefficients of permeability and inertia, and other data such as boundary conditions. In turn, the transport solutions depend on the velocity of the fluid, and on boundary and initial conditions.

May

30

2017

Mixing times measure how quickly a Markov process approaches its stationary distribution. Often computer scientists and statistical physicists use Markov chains to model networks with *n* nodes or physical systems with *n* particles and are interested in the mixing time as a function of large *n*. In this talk we explore a novel and general method of computing the mixing time asymptotics for one-dimensional diffusive Markov chains. The related question of which chains exhibit cutoff phenomena and with what window-size is also discussed.

May

30

2017

In 1918, Ramanijan collaborated with G.H. Hardy to study many areas of mathematics, including partition theory. One of the most celebrated results in partition theory is Ramanujan's Congruences. One approach to proving these congruences done by Atkin and Swinnerton-Dyer in 1954 used rank difference functions. This approach inspired the work done in this talk. The goal of this talk is to present some recent results for some Ramanujan-like congruences related to multipartitions.

May

31

2017

Dear Graduating Students,

An MS or PHD defense is a public event, and should be advertised to all department members (and beyond).

Those who are graduating should send the information about their defense to Graduate Coordinator (Stephanie Wise). We need at least to now day/time/location of the defense, title (and a brief abstract) of your paper, and name of your adviser. The happy event of your defense will be advertised on Department Calendar; we will also send reminders before the date.

Diana Gonzalez and Joseph Umhoefer will spend 10 weeks this summer at Lawrence Berkeley National Lab (Applied Numerical Algorithms group). Their full funding comes from LBNL and from NSF, in particular from recently funded grant DMS-173814; supplement to DMS-1522734 (PI: Malgo Peszynska).

Emerald Stacy has received the President's Commission on the Status of Women (PCOSW) Scholarship to fund her travel to MathFest 2017, which takes place July 26th-July 29th. PCOSW offers scholarships to OSU students, staff, and faculty for activities which support their mission "to improve the collective status of all who have been limited, silenced, excluded, or otherwise disadvantaged by unexamined norms, beliefs, and practices of the OSU community." Emerald will also give a talk at MathFest, titled "The Smallest Nontrivial Height of Abelian Totally $p$-adic Numbers." Congratulations, Emerald!