Ed Saff

Edward Barry Saff

Distinguished Professor of Mathematics
Director, Center for Constructive Approximation
1326 Stevenson Center
Vanderbilt University
Nashville, TN 37240
Email: edward.b.saff@vanderbilt.edu,  Office phone: +1  615 322 2014


Upcoming Conferences/Programs

“Point Configurations: Energy, Designs, and Discrepancy” at the 2nd Joint Meeting co-organized by the Unione Matematica Italiana (UMI) and the American Mathematical Society (AMS), which will be held July 23 to July 26, 2024,  in Palermo, Sicily, Italy (hosted by  Università degli Studi di Palermo). More information is available at the meeting’s website: https://umi.dm.unibo.it/jm-umi-ams/

“Constructive Functions 2025”,  Shanks Conference, Vanderbilt University, Nashville, Tennessee,  to be held May 19 –22, 2025, see website: https://my.vanderbilt.edu/constructivefunctions2025/

Recent Book

“Discrete Energy on Rectifiable Sets” (jointly authored with S. Borodachov and D. Hardin), Springer Monographs in Mathematics, 2019. ISBN 978-0-387-84807-5 (666 pages) https://www.springer.com/gp/book/9780387848075

Recent Articles

“Riesz Energy with a Radial External Field: When is the Equilibrium Support a Sphere?” (with Djalil Chafaï, Ryan W. Matzke, Minh Quan H. Vu, Robert S. Womersley), https://arxiv.org/abs/2405.00120

On a problem of E. Meckes for the unitary eigenvalue process on an arc, (with Liudmyla Kryvonos), accepted by Analysis and Math Physics journal, https://arxiv.org/abs/2402.11096

Energy bounds for weighted spherical codes and designs via linear programming, (with Sergiy Borodachov, Peter Boyvalenkov, Peter Dragnev, Douglas Hardin, Maya Stoyanova) arXiv:2403.07457

Universal minima of discrete potentials for sharp spherical codes, (with P. Boyvalenkov, P. Dragnev, D.P. Hardin and M. Stoyanova), submitted,

On Polarization of Spherical Codes and Designs (with P. Boyvalenkov, P. Dragnev, D.P. Hardin and M. Stoyanova), JMAA (J. Math Analysis and Appl.) , Vol. 524, #1, August 2023, 127065. arXiv:2207.08807

Archetype tasks link intratumoral heterogeneity to plasticity and 2cancer hallmarks in small cell lung cancer (with Sarah M. Groves et al), Cell Systems, 2022 Sep 21;13(9):690-710.e17. doi: 10.1016/j.cels.2022.07.006. Epub 2022 Aug 17.

Point source equilibrium problems with connections to weighted quadrature domains,(with P. Dragnev and A. Legg), Indag. Math. (N.S.) 34 (2023), no. 2, 200–218. arXiv:2203.09421

Threshold Condensation to Singular Support for a Riesz Equilibrium Problem (with Djalil Chafaï and Robert S. Womersley), Analysis and Math Phys, Vol. 13, article 19, Jan. 30, 2023.  https://arxiv.org/abs/2206.04956

On the solution of a Riesz equilibrium problem and integral
identities for special functions (with Djalil Chafaï and Robert S. Womersley),
J. Math. Anal. and App., Volume 515, Issue 1, 1 November 2022, 126367

Asymptotics of k-nearest neighbor Riesz energies (with D.P. Hardin and O.Vlasiuk) Constructive Approximation journal, DOI:https://doi.org/10.1007/s00365-023-09641-5, April, 2023.  https://arxiv.org/abs/2201.00474

Riesz Energy Problems with External Fields and Related Theory (with P. Dragnev, R. Orive and F. Wielonsky) , Constr. Approx. 57 (2023), no. 1, 1–43. arXiv:2104.03733

Dynamics of particles on a curve with pairwise hyper-singular repulsion (with D. Hardin, R. Shu, E. Tadmor), Discrete Contin. Dyn. Syst. 41 (2021), no. 12, 5509–5536.  arXiv:2010.05431




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