# Department of Mathematics

Welcome to the web page of the Mathematics Department of the Mathematics Institute of the Federal University of Rio de Janeiro. The Mathematics Department offers undergraduate courses in its Bacharalado, its Licenciatura, as well as diverse service courses for other departments of the university. Together with the other departments of the Mathematics Institute, the Mathematics Department offers post-graduate programmes in Mathematics and Mathematical Teaching. The teaching staff of the Mathematics Institute is actively involved in mathematical research and outreach programmes. The excellence of our researchers provides a fertil academic atmosphere with strong interactions with the international mathematical community.

# News & Announcements

**Thursday 20th July 2017**

**The Mathematics Department represented in the International Congress of Mathematics.**

The Mathematics Department has the honour of having two of its staff selected to speak in the thematic sessions of the International Congress of Mathematics (ICM). Prof. Helena Nussenzveig Lopes and Prof. Tatiana Roque will speak respectively in the Partial Differential Equations and History of Mathematics thematic sessions.

A complete list of speakers for the ICM can be found here.

**Wednesday 29th March 2017**

**New departmental webpage!**

The new departmental webpage is now online!

# Forthcoming Seminars

**Friday 22nd September 2017, 15:30, Room C119**

**Seminar:** Geometry and Topology Seminar

**Speaker:** Haimer Alex Trejos Serna

**Affiliation:** IMPA

**Title:** The Abresch-Rosenberg shape operator and applications

**Abstract:** In this talk we use a Codazzi pair defined in any constant mean curvature (CMC) surface immersed in the homogeneous 3-manifolds E(k,t) to compute a Simons formula for the CMC surfaces. In particular, we will show two applications of this formula: 1. We will show some pinching theorems for CMC surfaces in E(k,t). 2. We will define the CMC surfaces with finite Abresch-Rosenberg total curvature immersed in E(k,t) and we will get a bound of the first eigenvalue of any Schrodinger operator defined on these surfaces. In particular, this estimation gives a bound for the stability operator of any compact CMC surface. This is a joint work with Jose M. Espinar.