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Dr. Erik Lundberg

Dr. Rindy Anderson
  • Assistant Professor
  • Department of Mathematical Sciences
  • 561-297-3352
  • elundber@fau.edu
  • Boca Raton - SE43, Room 264

Education

  • Ph.D. in Mathematics, University of South Florida, 2011

Research Interests

  • Complex Analysis and asymptotics
  • Topology of random manifolds
  • PDE, potential theory, and free boundaries
  • harmonic mappings and gravitational lensing
  • Analytic Combinatorics 

Research Description

My core research areas are in Analysis (Complex Analysis, PDE, potential theory, asymptotics), but what I really love are well-motivated problems that are simple to state.

Recent Publications

  • Dirichlet's problem with entire data posed on an ellipsoidal cylinder , (with D. Khavinson and H. Render), Potential Analysis, 46 (2017), 55-62.
  • On the geometry of random lemniscates , (with A. Lerario), Proc. London Math. Soc., 113 (2016), 649-673.
  • A solution to Sheil-Small's harmonic mapping problem for polygons , (with D. Bshouty and A. Weitsman), Proc. Amer. Math. Soc. 143 (2015), 5219-5225.
  • On the number of connected components of random algebraic hypersurfaces , (with Y. V. Fyodorov and A. Lerario), Geometry and Physics, 95 (2015), 1-20.
  • Remarks on Wilmshurst's theorem , (with A. Lerario and S-Y. Lee), Indiana Univ. Math. J., 64 (2015), 1153-1167.

Scholarly Activities

  • I work with Jason Mireles-James to organize the Analysis and Applications Seminar in the Department of Mathematical Sciences at FAU.
    Here is a link to the seminar page:  
    Hompage/Schedule
  • I am the faculty advisor for FAU's Math Club
  • I'm currently writing a book with Dmitry Khavinson, "Linear Holomorphic Partial Differential Equations and Classical Potential Theory," (under contract for publication by the AMS).
  • I have published more than 30 papers, most appearing in journals rated as A or A* (according to the AustMS rating system).
  • Refereed papers for over a dozen journals. 
  • I have delivered over sixty invited talks, including international conferences in over a dozen countries. 
  • I have given, and continue to give several presentations for students at various specific levels: grad students, undergraduates, high school students, and middle school students

Faculty Website

 

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