Lea Popovic

Institute of Mathematics and its Applications


I am currently a postdoctoral fellow at the IMA-Institute of Mathematics and its Applications, in Minneapolis. I received a PhD in Probability and Statistics from the University of California, Berkeley under the guidance of David Aldous. Previously, I earned an Honours BSc degree in Mathematics from the University of Toronto, Canada.

Contact Information:
Address: IMA - 400 Lind Hall (office 254), 207 Church St SE
        University of Minnesota, Minneapolis, MN 55455
Phone: (612)626-0862; Fax: (612)626-7370
Email: lea (at) ima (dot) umn (dot) edu


Research:
My research interests are in probability theory and its applications.
My thesis work concentrated on branching processes and their asymptotics, the motivation coming from a model for macroevolution.
Some of my current research is in analysis of stochastic models related to population biology.
I am also involved in a research project on stochastic models for intracellular reaction networks.


Teaching:


Seminars:


Papers and Preprints:

  • "Genealogy of Catalytic and Mutually Catalytic Branching Models" (with A.Greven and A. Winter), [in preparation].
  • "Coherent Hierarchical Modeling of Biodiversity" (with D.Aldous and M.Krikun), [in preparation]
  • "Asymptotic Analysis of Multiscale Approximations to Reaction Networks" (2005), 38 pages, (with T.Kurtz, K.Ball, G.Rempala), to appear in Ann. of Appl. Probab. - pdf
  • "A Critical Branching Process Model for Biodiversity" (2004), 22 pages, (with D.Aldous), Adv. of Appl. Probab., Vol 37(4), 2005. - pdf
  • "Asymptotic Genealogy of a Critical Branching Process" (2003), 29 pages, Ann. of Appl. Probab., Vol 14(4), 2004. - pdf
  • Ph.D. Thesis (2003), UC Berkeley. - ps

Talks:

  • Bernoulli Congress, Barcelona, July 2004: "A Hierarchical Random Tree Model"- slides.
  • Mathematics Department, University of Erlangen-Nuerenberg, Germany, June 2004.
  • Mathematics Department, University of Wisconsin, Madison, February 2004.
  • Mathematics Department, University of Minnesota, Minneapolis, October 2003.
  • Mathematics Department, University of Minnesota, September 2003: "Coherent Modeling Of Macroevolution". - slides
  • Branching Processes, Oberwolfach, Germany, July 2003: "Asymptotic Genealogy of a Critical Branching Process".- slides

Curriculum Vitae in:

ps ps     pdf pdf      


2002 Lea Popovic, Last Modified: 04-Jan-2005