Recent Research In Mathematics Pdf

Welcome to Dartmouth Mathematics

Outreach

Math Department and AWM Essay Contests

For the sixth year in a row our department is pleased to sponsor the Essay Contest Biographies of Contemporary Women in Mathematics, modeled on the national AWM Essay Contest and open to all middle and high school students in the Upper Valley and to all Dartmouth undergraduates. We are very excited to share this program with our community and hope to receive some outstanding essays. In the past six years we have had many students receive recognition or win prizes in the national AWM Essay Contest! You may submit your essay to both contests; the deadline is February 1, 2022. View detailed information including contest rules, tips on choosing an interviewee, and lists of past winners. Last year two local students won prizes at the national level! (Click/tap to view a larger image of poster.)

$poster for Essay Contest 'Biographies of Contemporary Women in Mathematics'$

Department News

Daniel Krashen to give C. Dwight Lahr Lecture

Daniel Krashen, Presidential Professor of Mathematics at the University of Pennsylvania, will give a public lecture titled Professional empathy at 3:15 p.m. on Tuesday November 16 in Kemeny 008. Dr. Krashen's research is in algebra and arithmetic geometry, specifically the study of division algebras, quadratic forms, and linear algebraic groups. These areas have connections to a wide range of fields, including physics and cryptography. He has been awarded multiple NSF grants, including a CAREER award and the prestigious Presidential Early Career (PECASE) award. He is a fellow of the American Mathematical Society. Dr. Krashen has been active in promoting outreach and diversity in mathematics at a range of levels, from middle school through early career professors, including in his work on the editorial boards of the Notices of the American Mathematical Society and the American Mathematical Monthly.

$image of Daniel Krashen$

Faculty Research

Professor Giannakis' research highlighted in the Concord Monitor

Professor Dimitris Giannakis, whose research connects ideas from data science, machine learning, and dynamical systems theory, was recently quoted in an article in the Concord Monitor [may require subscription], speaking on the development of mathematical frameworks to improve understanding of complex systems such as the earth's climate dynamics. "We are combining this existing body of theoretical knowledge from abstract math with data science ... to identify phenomena in nature and generate questions that are relevant at the abstract mathematical level as well as the world," he says. "It brings in a lot of different fields of mathematics in one arena." This image is from his paper Bridging Data Science and Dynamical Systems Theory (co-authored with Tyrus Berry and John Harlim), which was featured in the October 2020 issue of Notices of the American Mathematical Society. "I think mathematics is very beautiful as a language; beautiful in its own right, without reference to anything else," says Professor Giannakis, who is a member of the Jack Byrne Academic Cluster in Mathematics and Decision Science.

$image from Dimitris Giannakis' paper 'Bridging Data Science and Dynamical Systems Theory', featured in the October 2020 issue of Notices of the American Mathematical Society$

Recent Publications

Symmetric group characters as symmetric functions

Rosa Orellana, Mike Zabrocki

Advances in Mathematics