Laura DeMarco

Laura Grace DeMarco (born November 15, 1974 in Japan ) is an American mathematician.

Laura DeMarco studied mathematics and physics at the University of Virginia with a bachelor's degree in 1996, at the University of California, Berkeley , with a master's degree in mathematics in 1998, and received her PhD from Harvard University with Curtis McMullen in 2002 (Holomorphic families of rational maps: dynamics, geometry and potential theory). In her dissertation she gave an explicit formula for the Lyapunov exponent of rational maps. As a post-doctoral student , she was a Dickson Instructor at the University of Chicago, where she became an Assistant Professor in 2005. She taught as Assistant Professor from 2007, Associate Professor from 2009 and Professor from 2012 at the University of Illinois at Chicago and has been a professor at Northwestern University since 2014 .

It deals with complex dynamics and arithmetic dynamics. In particular, she deals with rational representations in the complex or on the Riemann sphere and its modular spaces. She also deals with the applications of complex dynamics in arithmetic geometry and the connections between rational maps and elliptic curves.

In 2012 she became a Fellow of the American Mathematical Society and for 2017 she received the Ruth Lyttle Satter Prize in Mathematics . From 2008 to 2010 she was a Sloan Research Fellow . In 2015 she was Simons Fellow. In 2020 DeMarco was elected to the National Academy of Sciences .

Fonts

• The moduli space of quadratic rational maps, J. AMS, Volume 20, 2007, pp. 321-355
• Dynamics of rational maps: Lyapunov exponents, bifurcations and capacity, Mathematischer Annalen, Volume 326, 2003, pp. 43-73
• with C. McMullen: Trees and the dynamics of polynomials, Ann. Sci. École Normale Supérieure, Volume 41, 2008, pp. 337-383, Arxiv
• with Matthew Baker: Preperiodic points and unlikely intersections, Arxiv
• with Kevin Pilgram: Polynomial basins of infinity, Geom. Funct. Anal., Vol. 21, 2011, pp. 920-950, Arxiv
• with Kevin Pilgram: Critical heights on the moduli space of polynomials, Advances in Mathematics, Volume 226, 2011, pp. 350–372, Arxiv
• The conformal geometry of billards, Bulletin AMS, Volume 48, 2011, pp. 33-52, online
• KAWA Lecture Notes: Dynamical moduli spaces and elliptic curves, Ann. Fac. Sci. Toulouse Math. 2016, Arxiv
• with Xiaoguang Wang, Hexi Ye: Torsion points and the Lattes family, American J. of Math., Volume 138, 2016, pp. 697-732, Arxiv
• Bifurcations, intersections, and heights, Algebra & Number Theory, Volume 10, 2016, pp. 1031-1056, Arxiv
• with Kevin Pilgram: The classification of polynomial basins of infinity, Ann. Sci. Ecole Normale Superieure

Web links

• Website at Northwestern University
• Evelyn Lamb, Interview with DeMarco, Amie Wilkinson, Scientific American

Individual evidence

1. ↑ peoplepill.com .
2. ↑ Laura DeMarco in the Mathematics Genealogy Project (English)
3. ^ Simons Foundation