About

Elham Izadi received her Ph.D. in Mathematics from the University of Utah in 1991 and obtained a follow-up degree from the University of Paris XI in 1993. She has held the position of Benjamin Pierce Assistant Professor at Harvard University from 1991 to 1995. Since 1995, she has been a faculty member at the University of Georgia in Athens. Izadi is an expert in algebraic geometry, with research interests including Hodge theory, moduli spaces, abelian varieties and curves, vector bundles, and classical geometry.

Research topics

• Mathematics
• Organic chemistry
• Pure mathematics
• Chemistry
• Combinatorics
• Mathematical physics
• Nuclear chemistry
• Stereochemistry

Selected publications

• Some density results for hyperkähler manifolds

  Mathematical Research Letters · 2025-01-01

  preprintOpen access

  Lagrangian fibrations of hyperkähler manifolds are induced by semi-ample line bundles which are isotropic with respect to the Beauville-Bogomolov-Fujiki form. For a non-isotrivial family of hyperkähler manifolds over a complex manifold $S$ of positive dimension, we prove that the set of points in $S$, for which there is an isotropic class in the Picard lattice of the corresponding hyperkähler manifold represented as a fiber over that point, is analytically dense in $S$. We also prove the expected openness and density of the locus of polarised hyperkähler manifolds that admit a nef algebraic isotropic line bundle.

  PublisherOA PDFDOI

• Fabrication of Si-propyl-functionalized 4,4′-bipyridine-1,1ʹ-diium bisulfate tetrachloroferrate anchored to rice husk-derived nano-silica and its utility for the construction of N,N′-alkylidene bisamides

  Research on Chemical Intermediates · 2025-01-02

  articleSenior authorCorresponding
  PublisherDOI

• Some density results for hyperkähler manifolds

  Mathematical Research Letters · 2025-01-01

  article
  PublisherDOI

• Szegő kernels and Scorza quartics on the moduli space of spin curves

  arXiv (Cornell University) · 2024-09-20

  preprintOpen accessSenior author

  We describe an extension at the level of the moduli space of stable spin curves of genus g of the map associating to an ineffective spin structure its Scorza curve (equivalently, the vanishing locus of its Szegő kernel). We compute the class of the Szegő-Hodge bundle, then find an unconditional new interpretation, in terms of theta constants, of the Scorza quartic uniquely associated to an even spin structure. Our results describe the superperiod map from the moduli space of supersymmetric curves in the neighborhood of the theta-null divisor and provide a lower bound for the slope of the movable cone of the moduli space of spin curves.

  PublisherOA PDFDOI

• On Infinitesimal Invariants of Normal Functions

  Progress in mathematics · 2024-08-13

  book-chapter1st authorCorresponding
  PublisherDOI

• Preparation of a novel nanocatalyst based on rice husk-derived nano-silica and its application for the synthesis of pyrano[2,3-d]pyrimidine-2,4-diones and pyrano[2,3-d]pyrimidine-4-one-2-thiones

  Research on Chemical Intermediates · 2023 · 5 citations

  Senior authorCorresponding
  • Chemistry
  • Nuclear chemistry
  • Organic chemistry
  PublisherOA PDFDOI

• Hodge classes on the moduli space of $W(E_6)$-covers and the geometry of $\mathcal{A}_6$

  Pure and Applied Mathematics Quarterly · 2022-01-01 · 1 citations

  article
  PublisherDOI

• On infinitesimal invariants of normal functions

  arXiv (Cornell University) · 2022-12-18

  preprintOpen access1st authorCorresponding

  We present an overview of some of Alberto Collino's work which uses the Griffiths infinitesimal invariant of a normal function.

  PublisherOA PDFDOI

• Hodge classes on the moduli space of W(E_6)-covers and the geometry of A_6

  arXiv (Cornell University) · 2021-07-20

  preprintOpen access

  In previous work we showed that the Hurwitz space of W(E_6)-covers of the projective line branched over 24 points dominates via the Prym-Tyurin map the moduli space A_6 of principally polarized abelian 6-folds. Here we determine the 25 Hodge classes on the Hurwitz space of W(E_6)-covers corresponding to the 25 irreducible representations of the Weyl group W(E_6). This result has direct implications to the intersection theory of the toroidal compactification A_6. In the final part of the paper, we present an alternative, elementary proof of our uniformization result on A_6 via Prym-Tyurin varieties of type W(E_6).

  PublisherOA PDFDOI

• Hodge classes on the moduli space of W(E_6)-covers and the geometry of\n A_6

  arXiv (Cornell University) · 2021-07-20

  preprintOpen access

  In previous work we showed that the Hurwitz space of W(E_6)-covers of the\nprojective line branched over 24 points dominates via the Prym-Tyurin map the\nmoduli space A_6 of principally polarized abelian 6-folds. Here we determine\nthe 25 Hodge classes on the Hurwitz space of W(E_6)-covers corresponding to the\n25 irreducible representations of the Weyl group W(E_6). This result has direct\nimplications to the intersection theory of the toroidal compactification A_6.\nIn the final part of the paper, we present an alternative, elementary proof of\nour uniformization result on A_6 via Prym-Tyurin varieties of type W(E_6).\n

  PublisherOA PDFDOI

Recent grants

• RTG: Research Training Group in Algebra, Algebraic Geometry, and Number Theory

  NSF · $2.0M · 2015–2024

Frequent coauthors

• Valery Alexeev

  9 shared

• Herbert Lange

  7 shared

• Gavril Farkas

  Humboldt-Universität zu Berlin

  7 shared

• Ángela Ortega

  Jagiellonian University

  6 shared

• Ron Donagi

  6 shared

• Marco Lo Giudice

  University of Georgia

  5 shared

• Jonathan Conder

  3 shared

• Edward Dewey

  University of California, San Diego

  3 shared

Awards & honors

• Creative Research Medal, University of Georgia