The University of Connecticut’s summer program brings together a small group of undergraduates to explore what it is like to do research in pure and applied mathematics. Over the course of 10-weeks, we follow research projects from beginning to end — starting with reading about the project, writing proofs/programs, performing calculations, and ending with writing up results. In the past many of our projects have culminated in published articles and conference talks.

As part of the Nation Science Foundation’s Research Experience for Undergraduates initiative, our focus is to show students who may be interested in math and science what it is like to pursue a career in scientific research. We try to maintain a high ratio of mentors to students — about 1 to 2. Our mentors, consisting of faculty and PhD candidates, are here not only to guide students through research, but also to give a peek into what life is like in graduate school and beyond. This happens through a high amount of individual attention, and through group meetings and discussions, where we share ideas and experiences.

### Contact

**MathPrograms.org** application

**MathPrograms.org**

Department of Mathematics

University of Connecticut

Henry R. Monteith Building

341 Mansfield Road U1009

Storrs, Connecticut 06269-1009

**Math REU coordinator: **Luke Rogers

**Fractals: **Luke Rogers, Sasha Teplyaev, Patricia Alonso-Ruiz, Gamal Mograby

**Math Ed: **Fabiana Cardetti

**Stochastics: **Masha Gordina, Phanuel Mariano, Fabrice Baudoin, Sasha Teplyaev, Patricia Alonso-Ruiz

### Announcements

# 2017 MathPrograms.org application open

**please submit your application** online at MathPrograms.org

**please submit your application**online at MathPrograms.org

# Archived 2015 Announcements

## Alexander Teplyaev – The Spectral Dimension of the Universe

May 29, 2015

Professor Alexander Teplyaev will explain some ideas behind the notion of spectral dimension and how they are related to research being done in our department.

## Masha Gordina – Random thoughts on Brownian motion

June 5, 2015

Professor Masha Gordina will talk about the fascinating history of the Brownian motion and its applications in the real world.

## Keith Conrad – Continued Fractions

June 12, 2015

Professor Keith Conrad will talk about continued fractions, how to compute them, some of their properties, and how to answer seemingly unanswerable questions like this: if an unknown fraction is roughly 2.32558, what is it? (The answer is *not* 232558/100000.)

## Thomas Laetsch – From Brownian motion cometh

June 19, 2015

Following Dr. Gordina’s talk developing Brownian motion, Thomas Laetsch will take us on a short drunkard’s walk through several theories stemming from or related to Brownian motion. R(E)U ready?

## Joe Chen – Drunkard, Octopus, and Electrical Networks

June 26, 2015

Joe Chen will summarize the main ideas behind electrical networks and describe two unexpected applications to probability.

# Archived 2013 Announcements

## Brian Hartmann

July 25, 2013

Professor Brian Hartmann of the University of Connecticut will speak.

## Graduate School Panel

July 19, 2013

There will be a panel discussion on the process of applying to grad school, life as a graduate student and beyond.

## Johanna Franklin

July 12, 2013

Professor Johanna Franklin of the University of Connecticut will speak.

## Aaron Bailey – π, e and Other Irrational Numbers

July 9, 2013

Professor Aaron Bailey will give a talk based on the epinonimous 1986 paper of Alan Parks.

## Chen-Yun Lin – Calculus of Variations

June 27 & 28, 2013

Professor Chen-Yun Lin will give a two part discussion of variational methods in optimization problems.

## Daniel Kelleher – Infinite Dimensional Linear Algebra

June 21 & 25, 2013

Daniel Kelleher of the University of Connecticut will give a two part discussion of the complications that arise in concepts of linear algebra in infinite dimensional vector spaces.

## Reed Solomon – The Continuum Hypothesis

June 18, 2013

Professor Reed Solomon of the University of Connecticut will give a talk.

## Rebecca Tramel – Projective Space and Bezout’s Theorem

June 14, 2013

Rebecca Tramel of the University of Edinburgh will give a presentation about curves in the projective plane, and Bezout’s theorem concerning their intersection.

## Keith Conrad – The ABC Conjecture

June 11, 2013

Professor Keith Conrad of the University of Connecticut will give a presentation on the current state of the ABC conjecture.

## Introduction to Mathematica

June 7, 2013

Alex Baldenko will be conducting an introduction to the computer algebra system Mathematica.

## Introduction to Latex

June 5, 2013

Gabe Feinberg will be conducting an introduction to the typesetting program LaTeX

# Archived 2012 Announcements

## Find a graduate program

The American Mathematical Society has a new website “Find a graduate program” which is a good central source for basic statistics on graduate programs in mathematics and related fields. This is a useful source when applying to graduate schools.

## 2012 Project page

The List of projects from the summer 2012 is live.

## Summer Research Symposium at Mount Holyoke

August 2, 2012

At 2:30pm Jed Chou and Ben Whitney of our REU will present their research at Mount Holyoke College in South Hadley, MA.

## UConn Summer Research Symposium

August 2, 2012

At 1pm REU students will participate in a poster session at UConn with the Chemistry REU where they will share their results from the summer.

### Congratulations to Jed Chou for winning third prize for his presentation at the Young Mathematicians Conference!!!

## Young Mathematicians Conference at Ohio State

July 27 – July 29, 2012

Three of the four groups will travel to Ohio State to give talks or present posters at this year’s Young Mathematicians Conference!

## Sigma: “Arrow’s Theorem” by Lucas David-Roesler

July 20, 2012

Lucas David-Roesler will talk about Arrow’s Theorem.

## Sigma: “Brownian Motion and Levy Processes” by John Haga

July 13, 2012

John Haga will talk about Brownian motion and Levy processes.

## Sigma: “The Modular Group and the Upper Half Plane” by Harris Daniels

July 6, 2012

Harris Daniels will talk about the Modular Group and the Upper Half Plane.

## Sigma: “Marvels in Mathematica” by Alex Baldenko

June 29, 2012

Alex will talk about the Mathematica.

## Education Group Survey

July 6, 2012

At 12:15pm the Math Education group will be administering a survey as part of their project before the regularly scheduled SIGMA seminar.

## 4th of July Picnic!

July 3, 2012

At around 3:30pm we will meet in MSB118 and then drive to Mansfield Hollow for a holiday barbecue!

## Sigma: “Fractal Dimension of the Universe” by Alexander Teplyaev

June 22, 2012

Alexander Teplyaev, of the University of Connecticut, will talk about the Fractal dimension of the Universe.

## Sigma: “Grassmannians and Projective Space” by Rebecca Tramel

June 14, 2012

Rebecca will talk about Grassmannians and Projective space.

## Sigma: “The Projective Plane” by Keith Conrad

June 8, 2012

Keith Conrad, of the University of Connecticut, will talk about the Projective Plane.

## Sigma: Spectral Graph Theory

June 1, 2012

Dan Kelleher will be giving a seminar on Spectral Graph Theory.

## Introduction to LaTeX

The typesetting language LaTeX. On Thursday, Gabe will be giving a short talk about the basics on Thursday at 10. The files to load LaTeX can be found here.

## Introduction to Mathematica

Most of the projects this summer will make use of the CAS Mathematica. Wednesday morning at 10, Alex will be holding an introduction to mathamtica. Here is the notebook from the presentation.

## Welcome to Storrs!!!

The program has begun!

### 3rd Northeast Mathematics Undergraduate Research Mini-Symposium

### University of Connecticut, *July 28, 2015*

#### Organizers: Luke Rogers and Joe Chen.

#### Participating Schools: Amherst, Columbia, Fairfield, Mt. Holyoke, Smith, UConn, UMass, Williams, and Yale

#### Mini-Symposium full program

(photo courtesy Megan Brunner)

Mini-Symposium poster