Dr. Erik Lundberg
Education
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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
[1] C.R. Keeton, E. Lundberg, S. Perry, Multiplane gravitational lenses with an abundance of images, J. Math. Phys. 64 (2023) Paper No. 032502, 19
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[2] D. Khavinson, E. Lundberg, S. Perry, On the valence of logharmonic polynomials, in: Recent Progress in Function Theory and Operator Theory, Amer. Math. Soc., [Providence], RI, [2024] ©2024: pp. 23–40.
[3] M. Krishnapur, E. Lundberg, K. Ramachandran, Inradius of random lemniscates, J. Approx. Theory. 299 (2024) Paper No. 106018, 25.
[4] E. Lundberg, Limit cycle enumeration in random vector fields, Trans. Amer. Math. Soc. 376 (2023) 5693–5730.
[5] E. Lundberg, The valence of harmonic polynomials viewed through the probabilistic lens, Proc. Amer. Math. Soc. 151 (2023) 2963–2973.
- Full list of publications: http://brain2.math.fau.edu/~elundber/publications.html
Scholarly Activities
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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
