Math UConn REU at JMM 2018

Two of our REU (2017 Stochastics) participants, Raji Majumdar and Anthony Sisti, will be presenting posters Applications of Multiplicative LLN and CLT for Random Matrices and Black Scholes using the Central Limit Theorem on Friday, January 12 at the MAA Student Poster Session, and both of them will be giving talks on Saturday, January 13 at the AMS Contributed Paper Session on Research in Applied Mathematics by Undergraduate and Post-Baccalaureate Students.

Their travel to the 2018 JMM has been made possible with the support of the MAA and UConn’s OUR travel grants.

2017 Announcements

Phanuel Mariano – The volume of the unit ball in n dimensions

July 28, 2017

Phanuel Mariano from the University of Connecticut will be giving a talk computing the volume of the unit ball in arbitrary dimension.

Michelle Rabideau – Continued Fractions and the Fibonacci Sequence

July 21, 2017

Michelle Rabideau from the University of Connecticut will be giving a talk related to Continued Fractions.

Hugo Panzo – Laplace’s method and applications to probability

July 14, 2017

Hugo Panzo from the University of Connecticut will be giving a talk related to Laplace’s method.

Patricia Alonso Ruiz – Resistance metric – an electric interpretation of measuring distances

July 7, 2017

Any weighted graph can be seen as an electric linear network where the current flows between nodes (vertices) connected by resistors (weighted edges). This electric interpretation provides a special way to measure distances in a graph via the so-called effective resistance metric. What does this metric actually do, how it is related to energy minimizers and why it is so helpful when graphs become infinite are some of the questions we will address in this talk.

Keith Conrad – An algebraic characterization of differentiation

July 30, 2017

The derivative is defined using limits while the basic rules of differentiation (sum rule, product rule, chain rule) have an algebraic flavor. We will see how differentiation, and more generally differential operators, can be characterized purely algebraically by putting all the analytic conditions into the functions that we want to differentiate.

Ambar Sengupta – Random Matrices: Pictures From Traces and Products

July 23, 2017

Professor Ambar Sengupta will give a talk based on Random Matrices.

Zihui Zhao – Harmonic Measure

June 16, 2017

Zihui Zhao form the University of Washington will be an introductory talk in harmonic measure.

Luke Rogers – Length and volume

June 9, 2017

I will talk a little about Euclidean length and volume, the lengths of curves, Peano curves, the positive area curves of Osgood, and a delightful theorem of Hajlasz and Strzelecki that shows one can measure volume with a string.

Daniel Kelleher – The metric space of metric spaces

June 2, 2017

Metric spaces are sets which have a notion of distance. We will compare two different metric spaces, and see that this comparison makes the set of metric spaces into a metric space (Don’t worry, after that it’s turtles the rest of the way down). The focus will be put on length spaces — metric spaces where distance is given as the length of the shortest curve connecting two points. For these spaces we discover a sense of curvature

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!