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New Faculty

We welcome three new faculty members this (2015) Fall. Joining us as assistant professors are: Cameron J. Browne, an applied mathematician, and Chris Rogers, a topologist. George Turcu, an analyst, is joining us as an instructor.

Cameron J. Browne

Cameron J. Browne

Cameron Browne received his PhD in mathematics in 2012 from the University of Florida. His thesis was supervised by Sergei Pilyugin. He spent the 2012-2013 academic year as a postdoctoral fellow in the Department of Mathematics and Statistics at the University of Ottawa. From 2013 through the Spring of 2015, he was a postdoctoral assistant professor in the Department of Mathematics at Vanderbilt University.

Dr. Browne's research is in the application of differential equations and dynamical systems to biology. In particular, he is interested in modeling the population dynamics of infectious diseases, both within-host and between-host. His work has been motivated by such infectious diseases as HIV, polio, antibiotic-resistant bacteria and Ebola, along with their associated control measures.

In his work, typical mathematical analysis includes formulating threshold quantities and characterizing asymptotic dynamics. For example, in a recent article appearing in "Nonlinear Analysis: Real World Applications", Dr. Browne proved that competitive exclusion occurs in a structured multi-strain virus model by using ideas from infinite-dimensional dynamical systems theory.

His current research interests include: modeling contact tracing in emerging outbreaks such as the current Ebola epidemic, investigating immune-pathogen dynamics associated with HIV infection, and analyzing structured population models.

In February 2015, the American Mathematical Society and the Simons Foundation awarded Dr. Browne with an AMS--Simons Travel Grant, to be used for research-related travel and to enhance the research environment of the mathematics department here at Lafayette.

Learn more about Cameron Browne.

Chris Rogers

Chris Rogers

Chris Rogers is a native of Philadelphia, Pennsylvania. He received his Ph.D. in pure mathematics in 2011 from the University of California, Riverside. His thesis was supervised by John Baez.

From 2011 to 2014, Dr. Rogers was a postdoctoral research fellow in the Mathematics Institute at the University of Göttingen in Germany. He spent this past year as a researcher in the Institute for Mathematics and Informatics at the University of Greifswald in Germany, where he also taught graduate and undergraduate courses in topology.

Dr. Rogers' research explores the interface between algebraic topology, geometry, and mathematical physics. He is particularly interested in the roles that homotopy theory and higher category theory play in "quantization", a procedure physicists use to pass from a classical description of a physical system to a quantum one.

In his most recent publication, which will appear this fall in the Annals of Mathematics, he and his coauthors proved a conjecture made by Maxim Kontsevich, which connects ideas from algebraic geometry with quantization, using techniques inspired by homotopy theory and algebraic topology.

His current research interests include: the homotopy theory of homotopy algebras, operads and homotopical methods in deformation quantization, gerbes and equivariant cohomology, and higher categorical analogues of geometric quantization.

In June 2015, the American Mathematical Society and the Simons Foundation awarded Dr. Rogers with an AMS--Simons Travel Grant, to be used for research-related travel and to enhance the research environment of the mathematics department here at Lafayette.

Learn more about Chris Rogers.

George Turcu

George Turcu

George Turcu is a native of Romania. He received his BA in mathematics in 1999 from the University of Bucharest and his MA in mathematics in 2005 from Bowling Green State University. George received his PhD in mathematics in 2013 from Bowling Green State University. His dissertation "Hypercyclic Extensions of Bounded Linear Operators" was directed by Kit Chan.

George is very enthusiastic about teaching mathematics. He has extensive experience with innovative teaching methods such as POGIL (Process Oriented Guided Inquiry Learning).

Learn more about George Turcu.

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