News

Professor Badger Awarded NSF CAREER Award

Dr. Matthew Badger, Assistant Professor of Mathematics, has been awarded a five-year, $410,000 grant (2017–2022) from the National Science Foundation’s Faculty Early Career Development (CAREER) Program for his project “Analysis and Geometry of Measures.” A CAREER award is considered the highest distinction the NSF provides to a junior researcher in the mathematical sciences. Dr. Badger earned his PhD from University of Washington in 2011, and prior to joining the faculty at UConn, he was a James H. Simons Instructor and NSF postdoctoral fellow at Stony Brook University from 2011–2014.

The area of mathematics in which Dr. Badger specializes is called geometric measure theory. Measures are abstract generalizations of length, area, or volume, which assign a size to every mathematical set. They were first developed by Lebesgue in 1902 to define the integral of certain discontinuous functions that could not be computed using the Riemann integral. Lebesgue gave a rigorous definition of the length of a subset of the real line. Geometric measure theory was born out of attempts to define the length of subsets of Euclidean spaces.

Imagine, for example, that you wanted to measure the length of a piece of wire or string. This is easy: unwind the string into a straight line, place it next to a ruler, and read off its length. What if the string was cut into two pieces? This is easy, too: use the ruler to measure the length of the first piece of string, repeat with the second piece of string, and then add the two lengths together. What if the string is cut into infinitely many pieces, some short, some long, some as short as a fleck of dust? The pieces are scattered and cannot possibly be lined up next to a ruler without misplacing some of the pieces. How can you measure the length of the string now?

An answer to the question of how to assign length to subsets of Euclidean space was given by Carathéodory in 1914 and was studied in greater depth by Besicovitch in the 1920s and 1930s. In a recent series of three papers, Dr. Badger and his collaborator, Dr. Raanan Schul of Stony Brook University, solved a 70-year-old problem in geometric measure theory from the 1940s of how to identify the “length-like” part of an arbitrary measure in Euclidean space. The research component of Dr. Badger’s CAREER award is directed at related problems, whose resolution would significantly increase our understanding of the internal structure of general measures.

Dr. Badger’s CAREER project also has a significant educational component, with activities aimed at training and professional development for graduate students and postdocs in analysis inside and outside of UConn. One highlight is a pair of linked conferences Dr. Badger will organize for young researchers working in geometric measure theory and related areas. The first conference (for postdocs) will take place at UConn in Fall 2017; the second conference (for graduate students) will take place in Spring 2019. Several postdocs from the first conference will be invited back to UConn to give mini-courses for graduate students in the second conference. For more information about these upcoming events, please contact Dr. Badger at matthew.badger@uconn.edu.

Ralf Schiffler Awarded Simons Visiting Professorship

Professor Ralf Schiffler has been awarded a Simons Visiting Professorship by the Mathematisches Forschungsinstitut Oberwolfach in Germany. This program annually supports up to 40 Simons Visiting Professors, distinguished scientists from outside of Europe, who wish to combine an existing invitation to an Oberwolfach Workshop with a research visit to a European university of up to two weeks.

Professor Schiffler will use this award to work on several existing research projects as well as create new research collaborations during a two week visit to Germany. He will stay at the University Bielefeld and participate in the workshop Representation Theory of Quivers and Finite Dimensional Algebras in Oberwolfach.

Savkar and Cavanaugh received CETL Awards

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Savkar and Cavanaugh (first and second from the right) pose with Professor Lozano-Robledo and Provost Choi (first and second from the left).

Amit Savkar, Associate Professor in Residence, has been named a Teaching Fellow by the Center for Excellence in Teaching and Learning (CETL).

The nominees for this award are limited to full-time faculty with 5 years continuous service at the University. The individuals considered for this recognition show a commitment to teaching, demonstrated knowledge of educational pedagogy, and an interest in fostering innovative teaching practices at the University.

This year, up to two Teaching Fellows will be honored and each will be awarded a stipend of $5,000.

Separately, Marianne Cavanaugh has been awarded this year’s CETL Outstanding Adjunct.

The nominees for this award are limited to adjunct faculty with teaching service to the University. The individuals considered for this recognition show a commitment to teaching, demonstrated knowledge of educational pedagogy, and an interest in fostering innovative teaching practices at the University.

It is intended that up to two such Outstanding Adjuncts will be honored and each awarded a stipend of $2,500.

The awards were presented at the CETL Reception on April 26.

Gan and Valdez receive grant to study variable annuity portfolio valuations

Professors [dump script=”PersonLink.php?LastName=Gan&FirstName= Guojun”] and [dump script=”PersonLink.php?LastName=Valdez&FirstName=Emiliano”] have been awarded a one-year grant from the Society of Actuaries to support their project “Regression Modeling for the Valuation of Large Variable Annuity (VA) Portfolios” starting in 2016. They will investigate the potential use of GB2 (generalized beta of the second kind) distributions with four parameters to model the fair market values of VA guarantees. The findings from this project can help insurance companies to reduce significantly the processing time of the Monte Carlo simulation model commonly used in practice for VA valuation.

Professor Gordina awarded Simons Fellowship

Professor Maria Gordina has been awarded the prestigious Simons Fellowship, one of only forty mathematicians in North America to receive the award this year. The Fellowship enables research leaves by providing time away from classroom teaching and academic administration. Professor Gordina will use the award to work on several projects while visiting her collaborators in the US and in Europe. In particular, she will combine a stay at Bielefeld University in Germany with a trip to the Oberwolfach Research Institute for Mathematics to attend the workshop Heat Kernels, Stochastic Processes and Functional Inequalities, of which she is a co-organizer. Professor Gordina’s projects during 2015-2016 will include work on on singular stochastic differential equations and structure theory of the energy representation of path groups with values in compact groups.

For more information, see the article about Professor Gordina in UConn Today.