Yuan-Jen Chiang, Professor of Mathematics, coauthored a research article “Exponentially Subelliptic Harmonic Maps from the Heisenberg Group into a Sphere” in the Calculus of Variations and Partial Differential Equations by Springer in Europe. This is a joint work with Professor Sorin Dragomir with his Ph.D. student in Italy.

## Konieczny Presents at Joint Mathematics Meetings

Janusz Konieczny, professor of mathematics, gave a talk, *Maximal Commutative Subsemigroups of a Finite Semigroup*, at the AMS Special Session on Recent Trends in Semigroup Theory, at the Joint Mathematics Meetings, Denver Colorado, January 2020. The talks at the special session were by invitation only. Konieczny’s talk contained the research done during the sabbatical leave in the fall of 2017.

## Konieczny Publishes in Journal of Algebra

Janusz Konieczny, professor of mathematics, co-authored a research article, *Conjugacy in inverse semigroups*, published in the Journal of Algebra. The journal’s website reads:

“The *Journal of Algebra* is a leading international journal and publishes papers that demonstrate high quality research results in **algebra** and related computational aspects. Only the very best and most interesting papers are to be considered for publication in the journal. With this in mind, it is important that the contribution offer a substantial result that will have a lasting effect upon the field.”

## UMW Pathway Provides Grad-Level Engineering Opportunities

Engineers share a lot in common with superheros.

The latter leap tall buildings in a single bound, fight evil-doers and travel faster than a speeding bullet. The former design sustainable and safe infrastructure, combat cyber-crime and create signals that move at lightning speed.

UMW students aren’t caped crusaders, but they need to be prepared to tackle and solve complex problems plaguing our society. Starting in fall 2020, a new agreement with George Mason University will help them do that. Mary Washington undergraduates will have the opportunity to take graduate-level courses in Mason’s Volgenau School of Engineering (VSE) during their senior year. Students can earn up to nine credits that will be applied to their bachelor’s degree at UMW and potentially later be used toward a master’s degree in engineering at Mason. Read more.

## Chiang Published Article and Presented at JIMAMSVMS

Yuan-Jen Chiang, Professor of Math, had a research article “Exponentially Harmonic Maps between Surfaces” published in Analysis and Mathematical Physics. She presented this publication at the Joint International Meeting of American Math Society and Vietnam Math Society.

## 2019 Graduate Emily MacIndoe’s Research Published in Mathematics Journal

A research article “Analytical Solutions of the Susceptible-Infected-Virus (SIV) Model” by Emily MacIndoe (’19) has been published in *SIAM Undergraduate Research Online Journal. *McIndoe’s research was completed as part of her honors requirement in the spring of 2019, and she was advised by Associate Professor of Mathematics Jangwoon “Leo” Lee. “It is highly unusual for a student to publish a paper in mathematics,” said College of Arts and Sciences Dean Keith Mellinger, who praised MacIndoe’s work and wished her “a hearty congratulations.” McIndoe’s paper is accessible through the following link on the Society for Industrial and Applied Mathematics website: https://www.siam.org/Publications/SIURO/Volume-12.

**Abstract:** The Susceptible-Infected-Virus (SIV) model is a compartmental model to describe within-host dynamics of a viral infection. We apply the SIV model to the human immunodeficiency virus (HIV); in particular, we present analytical solutions to two versions of the model. The first version includes only terms related to the susceptible cell-virus particle interaction and virus production, while the second includes those terms in addition to the infected cell death rate. An analytical solution, although more challenging and time-consuming than numerical methods, has the advantage of giving exact, rather than approximate, results. These results contribute to our understanding of virus dynamics and could be used to develop better treatment options. The approach used to solve each model involved first isolating one of the dependent variables, that is, deriving an equation that involves only one of the variables and its derivatives. Next, various substitutions were used to bring the equation to a more easily solvable form. For the first model, an exact solution is obtained in the form of an implicit equation. For the second model, we give an analytical solution generated by an iterative method.

## Konieczny Publishes in Algebra Colloquium

Janusz Konieczny, professor of mathematics, published a research article, *The semigroup of surjective transformations on an infinite set,* in the journal Algebra Colloquium. This research has been supported by a 2015–16 University of Mary Washington Faculty Research Grant.

## Lehman Publishes Book in Dolciani Series

Larry Lehman, Professor of Mathematics, has had his book, *Quadratic Number Theory: An Invitation to Algebraic Methods in the Higher Arithmetic,* published by MAA Press, an imprint of the American Mathematical Society. The book appears in the Dolciani Mathematical Expositions series, devoted to “mathematical elegance and ingenuity” in texts intended for undergraduate math majors. It features innovations in notation developed during several directed studies and topics courses in algebraic number theory led by Prof. Lehman at the University of Mary Washington.

## Konieczny Publishes in Asian-European Journal of Mathematics

Janusz Konieczny, professor of mathematics, published a research article, *Second centralizers in the semigroup of injective transformations*, in the Asian-European Journal of Mathematics. This research has been supported by a a 2017–18 University of Mary Washington Faculty Research Grant.