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Science & Health News

Winter 2023-24

Science & Health News is an online magazine published twice annually for alumni and friends of UWL's College of Science & Health.

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The UWL College of Science and Health's Science & Health News is published online in January and July for more than 11,200 alumni and friends of the college.

Mathematics & Statistics kudos

Bryan Eagle

Bryan Eagle, Mathematics & Statistics, successfully defended his doctoral dissertation for a DBA from Grand Canyon University on April 5, 2024. The title of his study is “Cultural Distance as a Predictor of Acquiror Abnormal Return in Cross-Cultural Acquisitions.”

Submitted on: April 10

Tushar Das

Tushar Das, Mathematics & Statistics, presented "Thermodynamic expansions for the Hausdorff dimension of continued fraction Cantor sets via transfer operator perturbation" at the Online Seminar in Diophantine Approximation and Related Topics on Tuesday, March 12, online.

Submitted on: Mar. 12

Tushar Das

Tushar Das, Mathematics & Statistics, authored the article "A variational principle in the parametric geometry of numbers" in Advances in Mathematics Volume 437, February 2024, no. 109435 published on Monday, Feb. 19 by Elsevier. In joint work with Fishman (UNT), Simmons (York) and Urbanski (UNT) we extend the parametric geometry of numbers to Diophantine approximation for systems of m linear forms in n variables, and establish a new connection to the metric theory via a variational principle that computes fractal dimensions of a variety of sets of number-theoretic interest, e.g. of the set of singular systems of linear forms, thus resolving a conjectures of Kadyrov, Kleinbock, Lindenstrauss and Margulis. As a corollary, the divergent trajectories of a one-parameter diagonal action on the space of unimodular lattices with exactly two Lyapunov exponents with opposite signs have equal Hausdorff and packing dimensions. Other applications include exact dimension formulas with respect to the uniform exponent of irrationality for simultaneous and dual approximation in two dimensions, completing a cornucopia of partial results from 1977-2016. TD's research was supported in part by the American Institute of Mathematics SQuaREs program (2016-2019), and a 2017-2018 UWL Faculty Research Grant.

Submitted on: Feb. 19

Tushar Das

Tushar Das, Mathematics & Statistics, presented "On the mensuration of conformal fractals" at Conference on Functional Analysis and Fractals (CFAF 2024) IIIT Allahabad in India on Feb. 16 online. A plenary talk delivered around midnight (a personal best, so far) in La Crosse and around 11 a.m. in India, which presented research highlights and open problems in the dimension theory of conformal dynamical systems. The research exposed was supported in part by grants from the Institute of Advanced Study and the American Institute of Mathematics.

Submitted on: Feb. 19

Susan Kelly

Susan Kelly, Mathematics & Statistics, authored the article "Charles Warner Cansler" in xford African American Studies Center and was accepted for publication by Oxford University Press. This is part of a collection of African American biographies.

Submitted on: Feb. 10