## JUMP Seminar Archives

JUMP Seminar Archives

https://math.columbian.gwu.edu/jump-seminar

**Title: **A conversation on careers and graduate schools

**Date and Time: **Wednesday, April 1, 5:00-6:00 pm

**Place:** Government 101

**Description: **This will be an informal conversation with professional people and graduate students on issues related to careers or graduate schools in mathematics and physics.

* The JUMP Seminar is part of the Joint Undergraduate Mathematics and Physics (JUMP) Scholarship program.

Undergraduate talk joint with JUMP seminar (all math majors and minors are highly encouraged to attend).

**Title:**Matrices and Topology

**Speaker:**John Conway

**Date and Time:**Monday, March 16, 9:35-10:50am

**Place:**Duques 251

Since this is a part of JUMP program activity, all JUMP students are required to attend (the attendance will be recorded).

Presented by the Joint Mathematics and Physics (JUMP) Scholarship Program

**Speaker: **Rosemary Renaut**Date and Time**:Wednesday, Jan 28, 5-6pm.**Place:** Government 101

**Abstract: **

I will provide a short overview of the following problem: Biofuel cell polarization estimation: inversion of electrochemical impedance spectroscopic measurements

The inverse problem associated with electrochemical impedance spectroscopy requiring the solution of a Fredholm integral equation of the first kind is considered. If the underlying physical model is not clearly determined, the inverse problem needs to be solved using a regularized linear least squares problem that is obtained from the discretization of the integral equation. To obtain feasible solutions an additional constraint of non-negativity is required. Simulations with artificial, but realistic, data demonstrate that the use of non-negatively constrained least squares with a smoothing norm provides higher quality solutions than those obtained without the non-negative constraint. Although these results have been verified within the context of the analysis of electrochemical impedance spectroscopy, there is no reason to suppose that they would not be relevant within the broader framework of solving Fredholm integral equations for other applications.

This is joint work with undergraduates over two summers: Jakob Hansen, Jarom Hogue, Grant Sander, Michael Horst, Derek Nasir, Caleb Johnson and Robert Baker, and relates to a chemical engineering problem of interest to practitioners at ASU

You can pull a short bio from material on the web if you like

https://math.la.asu.edu/~rosie

So I should spend what - 30 minutes on the science part? What else should I say, did you want me to say something generally about UG research - give me some guidance, I'll have to generate a presentation over the weekend,

**Fall 2014**

**Speaker: **Jiayan Wang

**Date and Time: **Friday, September 12th, 3:45-5:00pm

**Place:** Government 102

**Abstract: **Combining number theory with computer programming, we

developed a novel computational method for solving Diophantine

equations of the form f(m) = Qn with respect to integers m and n,

where Q > 0 is a xed integer and f(m) is a second-degree polynomial.

Our method involves solving generalized Pell equations and computing

periodic zeros of the solution modulo some powers of Q and employs

computer algebra system PARI/GP.We use our method for systematic

study of such equations and present many numerical results. As an

example, we prove that the only solutions to the equation 2m2+1 = 3n

are (m; n) = (0; 0); ( 1; 1); ( 2; 2); and ( 11; 5):

This research was conducted under the supervision of Dr. Max A. Alekseyev.

Date: Monday April 28, 2014

Time: 11:10- 12:35

Place: Monroe B32 (Reception afterwards in Monroe 267)

Description:

The event will feature talks by Faculty in Mathematics and Physics on their research. Some topics will include: Bio-physics, Harmonic Analysis and Imaging, Dynamical Systems and Tiling, Quantum Chromodynamics (QCD), Partial Differential Equations, Topology, Mathematics at NASA, and Interdisciplinary Collaborations

**Mathematics and Climate: A New Partnership**

**Title: **Genome rearrangements: when intuition fails**Speaker:** Max Alekseyev, George Washington Univ.**Time:** Monday, April 7, 2014 11:10am-12:10pm**Place: **Monroe 353

(* The JUMP seminar is part of the Joint Undergraduate Mathematics & Physics (JUMP) Scholarship program. See more info at__http://math.columbian.gwu.edu/ jump-scholarship__)

**Abstract:**

Genome rearrangements are genomic "earthquakes" that change the chromosomal architectures. The minimum number of rearrangements between two genomes (called "genomic distance") represents a rather accurate measure for the evolutionary distance between them and is often used as such in comparative genomics studies.

In this talk I shall describe two rather unexpected phenomena in genome rearrangements analysis. First, the weighted genomic distance designed to bound the proportion of transpositions (that are complex rearrangements rarely happening in reality) in rearrangement scenarios between two genomes does not actually achieve this goal. Second, while the median score of three genomes can be approximated by the sum of their pairwise genomic distances (up to a constant factor), these two measures of evolutionary distance of genomes are no so much correlated as one's intuition may suggest.**Bio:**

Dr. Max Alekseyev is an associate professor at the Department of Mathematics & Computational Biology Institute, George Washington University. He received a Ph.D. in computer science from the University of California, San Diego, and in 2009-2013 was an assistant professor of computer science at University of South Carolina. In 2011, Dr. Alekseyev served as a scientific director for the Algorithmic Biology Laboratory at St. Petersburg Academic University, Russia, where he led development of genome assembler SPAdes. He received an NSF CAREER award in 2013. Dr. Alekseyev's research interests range from discrete mathematics (particularly, combinatorics and graph theory) to bioinformatics (particularly, comparative genomics and phylogenomics). His research is focused on the development and application of new methods of discrete mathematics to solve old and recently emerged open biological problems.

Speaker:

Dr. Hans Kaper, Georgetown University

Abstract: Climate is an emerging area of research in the mathematical sciences, part of a broader portfolio that addresses issues of complexity and sustainability. So far, the climate system has received relatively little attention in the mathematical sciences community, despite the fact that the stakes are high, decision makers have more questions than we can answer, and mathematical models and statistical arguments play a central role in assessment exercises. In this talk I will identify some problems of current interest in climate science and indicate how, as mathematicians, we can find inspiration for new applications.

Bio: Dr. Hans Kaper is an applied mathematician and co-director of the Mathematics and Climate Research Network (http://www.mathclimate.org), an NSF funded virtual organization to develop the mathematics needed to better understand the Earth's climate. He is the (co) author of four books and more than 100 articles in refereed journals. His most recent book "Mathematics and Climate" (with Dr. Hans Engler) was published by the Society for Industrial and Applied Mathematics (SIAM) and was named“ASLI's Choice 2013” by the Atmospheric Science Librarians International (ASLI) as the best book of 2013 in the fields of meteorology/climatology/