Uli Krahn

Knots, Rational Tangles and DNA Topology

This project aims to investigate topological knot theory, focusing on knot invariants (polynomials) and rational tangles, studying Kaufmann (2001) “Knots and Physics”, with a special interest in researching applications of rational tangles to enzymatic DNA recombination processes.

Uli Krahn

The University of New England

Uli Krahn is a third year undergraduate online B.Sc. student at The University of New England, majoring in mathematics (and a bit of physics). This has been a long-held dream, with various neurodivergences getting in the way before she found a supportive university.

She plans to do Honours and hopefully further research in areas relating mathematics and biology, especially biological shapes, but is at this point torn between interests in Abstract Algebra and Topology, and a new-found passion for Differential Equations. She has received university prizes for achievements, and really enjoys being an online peer leader (PASS) for first year Analysis students, as helping others learn continually deepens one’s own understanding, and especially one’s interest in limits. Her favourite maths text is Spivak’s Calculus on Manifolds.

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